Everyday lies in close and casual relationships.
DePaulo, B M; Kashy, D A
1998-01-01
In 2 diary studies, 77 undergraduates and 70 community members recorded their social interactions and lies for a week. Because lying violates the openness and authenticity that people value in their close relationships, we predicted (and found) that participants would tell fewer lies per social interaction to the people to whom they felt closer and would feel more uncomfortable when they did lie to those people. Because altruistic lies can communicate caring, we also predicted (and found) that relatively more of the lies told to best friends and friends would be altruistic than self-serving, whereas the reverse would be true of lies told to acquaintances and strangers. Also consistent with predictions, lies told to closer partners were more often discovered.
Lie point symmetries of differential-difference equations
Energy Technology Data Exchange (ETDEWEB)
Levi, D [Dipartimento di Ingegneria Elettronica, Universita degli Studi Roma Tre and Sezione INFN, Roma Tre, Via della Vasca Navale 84, 00146 Roma (Italy); Winternitz, P [Centre de recherches mathematiques et, Departement de mathematiques et statistique, Universite de Montreal, C.P. 6128, succ. Centre-ville, H3C 3J7, Montreal, Quebec (Canada); Yamilov, R I, E-mail: levi@roma3.infn.i, E-mail: wintern@crm.umontreal.c, E-mail: RvlYamilov@matem.anrb.r [Ufa Institute of Mathematics, Russian Academy of Sciences, 112 Chernyshevsky Street, Ufa 450008 (Russian Federation)
2010-07-23
We present an algorithm for determining the Lie point symmetries of differential equations on fixed non-transforming lattices, i.e. equations involving both continuous and discrete-independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method. (fast track communication)
Fixed points of IA-endomorphisms of a free metabelian Lie algebra
Indian Academy of Sciences (India)
Free metabelian Lie algebra; fixed point. 1. Introduction. One of the important problem in the theory of Lie algebras is to determine the non-trivial fixed points of endomorphisms of free Lie algebras. The most important results about fixed points of a finite group acting on a free alge- bra were obtained by Formanek [5]. Similar ...
Structure of Lie point and variational symmetry algebras for a class of odes
Ndogmo, J. C.
2018-04-01
It is known for scalar ordinary differential equations, and for systems of ordinary differential equations of order not higher than the third, that their Lie point symmetry algebras is of maximal dimension if and only if they can be reduced by a point transformation to the trivial equation y(n)=0. For arbitrary systems of ordinary differential equations of order n ≥ 3 reducible by point transformations to the trivial equation, we determine the complete structure of their Lie point symmetry algebras as well as that for their variational, and their divergence symmetry algebras. As a corollary, we obtain the maximal dimension of the Lie point symmetry algebra for any system of linear or nonlinear ordinary differential equations.
On Lie point symmetry of classical Wess-Zumino-Witten model
International Nuclear Information System (INIS)
Maharana, Karmadeva
2001-06-01
We perform the group analysis of Witten's equations of motion for a particle moving in the presence of a magnetic monopole, and also when constrained to move on the surface of a sphere, which is the classical example of Wess-Zumino-Witten model. We also consider variations of this model. Our analysis gives the generators of the corresponding Lie point symmetries. The Lie symmetry corresponding to Kepler's third law is obtained in two related examples. (author)
Fixed points of IA-endomorphisms of a free metabelian Lie algebra
Indian Academy of Sciences (India)
Let be a free metabelian Lie algebra of finite rank at least 2. We show the existence of non-trivial fixed points of an -endomorphism of and give an algorithm detecting them. In particular, we prove that the fixed point subalgebra Fix of an -endomorphism of is not finitely generated.
Webb, G. M.; Zank, G. P.
2007-01-01
We explore the role of the Lagrangian map for Lie symmetries in magnetohydrodynamics (MHD) and gas dynamics. By converting the Eulerian Lie point symmetries of the Galilei group to Lagrange label space, in which the Eulerian position coordinate x is regarded as a function of the Lagrange fluid labels x0 and time t, one finds that there is an infinite class of symmetries in Lagrange label space that map onto each Eulerian Lie point symmetry of the Galilei group. The allowed transformation of the Lagrangian fluid labels x0 corresponds to a fluid relabelling symmetry, including the case where there is no change in the fluid labels. We also consider a class of three, well-known, scaling symmetries for a gas with a constant adiabatic index γ. These symmetries map onto a modified form of the fluid relabelling symmetry determining equations, with non-zero source terms. We determine under which conditions these symmetries are variational or divergence symmetries of the action, and determine the corresponding Lagrangian and Eulerian conservation laws by use of Noether's theorem. These conservation laws depend on the initial entropy, density and magnetic field of the fluid. We derive the conservation law corresponding to the projective symmetry in gas dynamics, for the case γ = (n + 2)/n, where n is the number of Cartesian space coordinates, and the corresponding result for two-dimensional (2D) MHD, for the case γ = 2. Lie algebraic structures in Lagrange label space corresponding to the symmetries are investigated. The Lie algebraic symmetry relations between the fluid relabelling symmetries in Lagrange label space, and their commutators with a linear combination of the three symmetries with a constant adiabatic index are delineated.
International Nuclear Information System (INIS)
Webb, G M; Zank, G P
2007-01-01
We explore the role of the Lagrangian map for Lie symmetries in magnetohydrodynamics (MHD) and gas dynamics. By converting the Eulerian Lie point symmetries of the Galilei group to Lagrange label space, in which the Eulerian position coordinate x is regarded as a function of the Lagrange fluid labels x 0 and time t, one finds that there is an infinite class of symmetries in Lagrange label space that map onto each Eulerian Lie point symmetry of the Galilei group. The allowed transformation of the Lagrangian fluid labels x 0 corresponds to a fluid relabelling symmetry, including the case where there is no change in the fluid labels. We also consider a class of three, well-known, scaling symmetries for a gas with a constant adiabatic index γ. These symmetries map onto a modified form of the fluid relabelling symmetry determining equations, with non-zero source terms. We determine under which conditions these symmetries are variational or divergence symmetries of the action, and determine the corresponding Lagrangian and Eulerian conservation laws by use of Noether's theorem. These conservation laws depend on the initial entropy, density and magnetic field of the fluid. We derive the conservation law corresponding to the projective symmetry in gas dynamics, for the case γ = (n + 2)/n, where n is the number of Cartesian space coordinates, and the corresponding result for two-dimensional (2D) MHD, for the case γ = 2. Lie algebraic structures in Lagrange label space corresponding to the symmetries are investigated. The Lie algebraic symmetry relations between the fluid relabelling symmetries in Lagrange label space, and their commutators with a linear combination of the three symmetries with a constant adiabatic index are delineated
Lie Point Symmetries and Exact Solutions of the Coupled Volterra System
International Nuclear Information System (INIS)
Ping, Liu; Sen-Yue, Lou
2010-01-01
The coupled Volterra system, an integrable discrete form of a coupled Korteweg–de Vries (KdV) system applied widely in fluids, Bose–Einstein condensation and atmospheric dynamics, is studied with the help of the Lie point symmetries. Two types of delayed differential reduction systems are derived from the coupled Volterra system by means of the symmetry reduction approach and symbolic computation. Cnoidal wave and solitary wave solutions for a delayed differential reduction system and the coupled Volterra system are proposed, respectively. (general)
Dorodnitsyn, Vladimir A.; Kozlov, Roman; Meleshko, Sergey V.; Winternitz, Pavel
2018-05-01
A recent article was devoted to an analysis of the symmetry properties of a class of first-order delay ordinary differential systems (DODSs). Here we concentrate on linear DODSs, which have infinite-dimensional Lie point symmetry groups due to the linear superposition principle. Their symmetry algebra always contains a two-dimensional subalgebra realized by linearly connected vector fields. We identify all classes of linear first-order DODSs that have additional symmetries, not due to linearity alone, and we present representatives of each class. These additional symmetries are then used to construct exact analytical particular solutions using symmetry reduction.
Improved schemes and methods of working closely lying flat seams. [USSR - Ukrainian SSR
Energy Technology Data Exchange (ETDEWEB)
Batmanov, Yu.K.; Bakhtin, A.F.; Bulavka, E.I. (DonUGI (USSR))
1990-08-01
Presents requirements that must be met in order to improve working of closely lying coal seams in the Ukraine. These requirements are: the working order should ensure effective utilization of protective seams for rock burst prevention, gas should be reduced by natural degassing during under- and overworking, and rock pressure should be controlled. A mixed order of seam working is recommended that combines the advantages of ascending and descending working order. Two working schemes that suit the requirements are presented: descending working order in a pillar system with countercurrent ventilation, and ascending working with combined system and concurrent ventilation. Three more improved schemes with air-flow freshening intended for deep highly methane bearing coal seams are considered to meet the requirements still better. Cost effectiveness of the working schemes is compared and an economic effect of 0.8-1.2 rubles/t is claimed. A method of seam grouping into winning and basic workings is recommended that allows the volume and maintenance cost of basic workings to be reduced by 30-40%. Application criteria of the working schemes are discussed. 7 refs.
Ouabain affinity determining residues lie close to the Na/K pump ion pathway.
Artigas, Pablo; Gadsby, David C
2006-08-15
The Na/K pump establishes essential ion concentration gradients across animal cell membranes. Cardiotonic steroids, such as ouabain, are specific inhibitors of the Na/K pump. We exploited the marine toxin, palytoxin, to probe both the ion translocation pathway through the Na/K pump and the site of its interaction with ouabain. Palytoxin uncouples the pump's gates, which normally open strictly alternately, thus allowing both gates to sometimes be open, so transforming the pump into an ion channel. Palytoxin therefore permits electrophysiological analysis of even a single Na/K pump. We used outside-out patch recording of Xenopus alpha1beta3 Na/K pumps, which were made ouabain-resistant by point mutation, after expressing them in Xenopus oocytes. Endogenous, ouabain-sensitive, Xenopus alpha1beta3 Na/K pumps were silenced by continuous exposure to ouabain. We found that side-chain charge of two residues at either end of the alpha subunit's first extracellular loop, known to make a major contribution to ouabain affinity, strongly influenced conductance of single palytoxin-bound pump-channels by an electrostatic mechanism. The effects were mimicked by modification of cysteines introduced at those two positions with variously charged methanethiosulfonate reagents. The consequences of these modifications demonstrate that both residues lie in a wide vestibule near the mouth of the pump's ion pathway. Bound ouabain protects the site with the strongest influence on conductance from methanethiosulfonate modification, while leaving the site with the weaker influence unprotected. The results suggest a method for mapping the footprint of bound cardiotonic steroid on the extracellular surface of the Na/K pump.
On the Lie point symmetry analysis and solutions of the inviscid ...
Indian Academy of Sciences (India)
(Springer, New York, 2002). [7] P J Olver, Application of Lie groups to differential equations (Springer, New York, 1993). [8] N H Ibragimov, CRC handbook of Lie group analysis of differential equations, Volume 1,. Symmetries, exact solutions and conservation laws (CRC Press, Boca Raton, 1994). 414. Pramana – J. Phys.
When All Signs Point to You: Lies Told in the Face of Evidence
Evans, Angela D.; Xu, Fen; Lee, Kang
2011-01-01
Young children's ability to tell a strategic lie by making it consistent with the physical evidence of their transgression was investigated along with the sociocognitive correlates of such lie-telling behaviors. In Experiment 1, 247 Chinese children between 3 and 5 years of age (126 boys) were left alone in a room and asked not to lift a cup to…
Close pairs of relative equilibria for identical point vortices
DEFF Research Database (Denmark)
Dirksen, Tobias; Aref, Hassan
2011-01-01
Numerical solution of the classical problem of relative equilibria for identical point vortices on the unbounded plane reveals configurations that are very close to the analytically known, centered, symmetrically arranged, nested equilateral triangles. New numerical solutions of this kind are fou......, however, for symmetrically nested equilateral triangles. © 2011 American Institute of Physics.......Numerical solution of the classical problem of relative equilibria for identical point vortices on the unbounded plane reveals configurations that are very close to the analytically known, centered, symmetrically arranged, nested equilateral triangles. New numerical solutions of this kind are found...... also has this property, and new relative equilibria close to the nested, symmetrically arranged, regular heptagons have been found. The centered regular nonagon is also marginally stable. Again, a new family of close relative equilibria has been found. The closest relative equilibrium pairs occur...
Classical Lie Point Symmetry Analysis of a Steady Nonlinear One-Dimensional Fin Problem
Directory of Open Access Journals (Sweden)
R. J. Moitsheki
2012-01-01
Full Text Available We consider the one-dimensional steady fin problem with the Dirichlet boundary condition at one end and the Neumann boundary condition at the other. Both the thermal conductivity and the heat transfer coefficient are given as arbitrary functions of temperature. We perform preliminary group classification to determine forms of the arbitrary functions appearing in the considered equation for which the principal Lie algebra is extended. Some invariant solutions are constructed. The effects of thermogeometric fin parameter and the exponent on temperature are studied. Also, the fin efficiency is analyzed.
Performance of Closely Spaced Point Absorbers with Constrained Floater Motion
DEFF Research Database (Denmark)
De Backer, G.; Vantorre, M.; Beels, C.
2009-01-01
The performance of a wave energy converter array of twelve heaving point absorbers has been assessed numerically in a frequency domain model. Each point absorber is assumed to have its own linear power take-off. The impact of slamming, stroke and force restrictions on the power absorption...... is evaluated and optimal power take-off parameters are determined. For multiple bodies optimal control parameters are not only dependent on the incoming waves, but also on the position and behaviour of the other buoys. Applying the optimal control values for one buoy to multiple closely spaced buoys results...
International Nuclear Information System (INIS)
Matone, Marco
2016-01-01
Recently it has been introduced an algorithm for the Baker-Campbell-Hausdorff (BCH) formula, which extends the Van-Brunt and Visser recent results, leading to new closed forms of BCH formula. More recently, it has been shown that there are 13 types of such commutator algebras. We show, by providing the explicit solutions, that these include the generators of the semisimple complex Lie algebras. More precisely, for any pair, X, Y of the Cartan-Weyl basis, we find W, linear combination of X, Y, such that exp(X) exp(Y) = exp(W). The derivation of such closed forms follows, in part, by using the above mentioned recent results. The complete derivation is provided by considering the structure of the root system. Furthermore, if X, Y, and Z are three generators of the Cartan-Weyl basis, we find, for a wide class of cases, W, a linear combination of X, Y and Z, such that exp(X) exp(Y) exp(Z) = exp(W). It turns out that the relevant commutator algebras are type 1c-i, type 4 and type 5. A key result concerns an iterative application of the algorithm leading to relevant extensions of the cases admitting closed forms of the BCH formula. Here we provide the main steps of such an iteration that will be developed in a forthcoming paper. (orig.)
DEFF Research Database (Denmark)
Webb, Garry; Sørensen, Mads Peter; Brio, Moysey
2004-01-01
to circumvent this problem, non-canonical Poisson bracket formulations of the equations are obtained in which the electric field is one of the non-canonical variables. Noether's theorem, and the Lie point symmetries admitted by the equations are used to obtain four conservation laws, including......The vector Maxwell equations of nonlinear optics coupled to a single Lorentz oscillator and with instantaneous Kerr nonlinearity are investigated by using Lie symmetry group methods. Lagrangian and Hamiltonian formulations of the equations are obtained. The aim of the analysis is to explore...... the properties of Maxwell's equations in nonlinear optics, without resorting to the commonly used nonlinear Schr\\"odinger (NLS) equation approximation in which a high frequency carrier wave is modulated on long length and time scales due to nonlinear sideband wave interactions. This is important in femto...
De Matteis, Giovanni; Martina, Luigi
2012-03-01
A system of partial differential equations, describing one-dimensional nematic liquid crystals is studied by Lie group analysis. These equations are the Euler-Lagrange equations associated with a free energy functional that depends on the mass density and the gradient of the mass density. The group analysis is an algorithmic approach that allows us to show all the point symmetries of the system, to determine all possible symmetry reductions and, finally, to obtain invariant solutions in the form of travelling waves. The Hamiltonian formulation of the dynamical equations is also considered and the conservation laws found by exploiting the local symmetries.
International Nuclear Information System (INIS)
Wu Ming-Zhong; Bai Cheng-Ming
2015-01-01
A compatible Lie algebra is a pair of Lie algebras such that any linear combination of the two Lie brackets is a Lie bracket. We construct a bialgebra theory of compatible Lie algebras as an analogue of a Lie bialgebra. They can also be regarded as a “compatible version” of Lie bialgebras, that is, a pair of Lie bialgebras such that any linear combination of the two Lie bialgebras is still a Lie bialgebra. Many properties of compatible Lie bialgebras as the “compatible version” of the corresponding properties of Lie bialgebras are presented. In particular, there is a coboundary compatible Lie bialgebra theory with a construction from the classical Yang–Baxter equation in compatible Lie algebras as a combination of two classical Yang–Baxter equations in Lie algebras. Furthermore, a notion of compatible pre-Lie algebra is introduced with an interpretation of its close relation with the classical Yang–Baxter equation in compatible Lie algebras which leads to a construction of the solutions of the latter. As a byproduct, the compatible Lie bialgebras fit into the framework to construct non-constant solutions of the classical Yang–Baxter equation given by Golubchik and Sokolov. (paper)
Performance of Closely Spaced Point Absorbers with Constrained Floater Motion
DEFF Research Database (Denmark)
De Backer, G.; Vantorre, M.; Beels, C.
2009-01-01
The performance of a wave energy converter array of twelve heaving point absorbers has been assessed numerically in a frequency domain model. Each point absorber is assumed to have its own linear power take-off. The impact of slamming, stroke and force restrictions on the power absorption...
Statistical distribution of thermal vacancies close to the melting point
Energy Technology Data Exchange (ETDEWEB)
José Pozo, María, E-mail: mariaj.pozom@gmail.com [Grupo de Nanomateriales, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago (Chile); Davis, Sergio, E-mail: sdavis@gnm.cl [Grupo de Nanomateriales, Departamento de Física, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago (Chile); Peralta, Joaquín, E-mail: joaquin.peralta@unab.cl [Departamento de Ciencias Físicas, Facultad de Ciencias Exactas, Universidad Andrés Bello, Santiago (Chile)
2015-01-15
A detailed description of the statistical distribution of thermal vacancies in an homogeneous crystal near its melting point is presented, using the embedded atom model for copper as an example. As the temperature increase, the average number of thermal vacancies generated by atoms migrating to neighboring sites increases according to Arrhenius’ law. We present for the first time a model for the statistical distribution of thermal vacancies, which according to our atomistic computer simulations follow a Gamma distribution. All the simulations are carried out by classical molecular dynamics and the recognition of vacancies is achieved via a recently developed algorithm. Our results could be useful in the further development of a theory explaining the mechanism of homogeneous melting, which seems to be mediated by the accumulation of thermal vacancies near the melting point.
Jacobson, Nathan
1979-01-01
Lie group theory, developed by M. Sophus Lie in the 19th century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses.Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its
Paliathanasis, A.; Tsamparlis, M.; Mustafa, M. T.
2017-01-01
We perform a classification of the Lie and Noether point symmetries for the Klein-Gordon and for the wave equation in pp-wave spacetimes. To perform this analysis we reduce the problem of the determination of the point symmetries to the problem of existence of conformal killing vectors on the pp-wave spacetimes. We use the existing results of the literature for the isometry classes of the pp-wave spacetimes and we determine in each class the functional form of the potential in which the Klein...
Osborn, J
1989-01-01
During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. The principal focus of the year and of the workshop was the long-standing problem of classifying the simple finite-dimensional Lie algebras over algebraically closed field of prime characteristic. However, other lectures at the workshop dealt with the related areas of algebraic groups, representation theory, and Kac-Moody Lie algebras. Fourteen papers were presented and nine of these (eight research articles and one expository article) make up this volume.
Kashy, D A; DePaulo, B M
1996-05-01
Seventy-seven undergraduates and 70 demographically diverse members of the community completed 12 individual differences measures hypothesized to predict lie-telling in everyday life and then kept a diary every day for a week of all of their social interactions and all of the lies that they told during those interactions. Consistent with predictions, the people who told more lies were more manipulative, more concerned with self-presentation, and more sociable. People who told fewer lies were more highly socialized and reported higher quality same-sex relationships. Manipulative people, less highly socialized people, and people with less gratifying same-sex relationships also told especially more self-serving lies, whereas people with higher quality same-sex relationships told relatively more other oriented lies.
International Nuclear Information System (INIS)
Berezin, F.A.
1977-01-01
Generalization of the Laplace-Casimir operator theory on the Lie supergroups is considered. The main result is the formula for radial parts of the Laplace operators under some general assumptions about the Lie supergroup. In particular these assumptions are valid for the Lie suppergroups U(p,g) and C (m,n). The first one is the analogue of the unitary group, the second one is the analogue of the linear group of canonical transformations
Papi, Paolo; Advances in Lie Superalgebras
2014-01-01
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.
Chen, Li; Zhang, Jianping
1993-12-01
In this paper, we present two theorems: classification theorem and corner point theorem for closed digital surfaces. The classification theorem deals with the categorization of simple surface points and states that there are exactly six different types of simple surface points. On the basis of the classification theorem and Euler formula on planar graph, we have proved the corner point theorem: Any simple closed surface has at least eight corner points, where a corner point of a closed surface is a point in the surface which has exactly three adjacent points in the closed surface. Another result reported in this paper is that any simple closed surface has at least fourteen points.
Directory of Open Access Journals (Sweden)
Tosca eBallerini
2015-02-01
Full Text Available Atmosphere-Ocean General Circulation Models (AOGCMs predict changes in the sea ice environment and in atmospheric precipitations over larger areas of Antarctica. These changes are expected to affect the population dynamics of seabirds and marine mammals, but the extent of this influence is not clear. We investigated the future population trajectories of the colony of Adélie penguins at Edmonson Point, in the Ross Sea, from 2010 to 2100. To do so, we incorporated the relationship between sea ice and demographic parameters of the studied colony into a matrix population model. Specifically, we used sea ice projections from AOGCMs and a proxy for snowfall precipitation. Simulations of population persistence under future climate change scenarios showed that a reduction in sea ice extent and an increase in precipitation events during the breeding season will drive the population to extinction. However, the population growth rate estimated by the model was lower than the population growth rate observed during the last decades, suggesting that recruits from other colonies maintain the observed population dynamics at Edmonson Point. This local ‘rescue’ effect is consistent with a metapopulation dynamic for Adélie penguins in the Ross Sea, in which neighboring colonies might exhibit contrasting population trends and different density-dependent effects. In the hypothesis that connectivity with larger source colonies or that local recruitment would decrease, the sink colony at Edmonson Point is predicted to disappear.
Significance of nuclear force merger-point with {open_quotes}G{close_quotes}
Energy Technology Data Exchange (ETDEWEB)
Ayub, S.M.
1993-10-01
As published earlier, interesting phenomena are expected at this 10{sup -27.4} cms, 10{sup 33.5} eV point (beyond our present Energy resources, except in SPACE). With the shrinkage of {open_quote}fm{close_quote}, queer Fission/Fusion possibilities were predicted at the merger-point of N. and N.Weak Forces, preceding this, due to Synchronisations thus the Fission of sub-critical masses came to happen, with the new Technologies for minimizing {open_quote}fm{close_quote}. The N.Force merger-point with {open_quote}G{close_quote} can predict the mass of the Top Quark from the proportionality of {open_quote}fm{close_quote}/M, at this point. This calculates to {approx} 180GeV, more than those of W{sup {+-}}, Z{sub o}, experimental confirmation may come from the operation of the 20TeV, S.P, or maybe from SPACE. {open_quote}G{close_quote} becomes {open_quote}Super-G{close_quote} in N.Stars/Black Holes, and this approach explains massive particles like even the {approx} 10{sup 19} GeV, the unification one in SU(3). Thus, this point has significance in Physics.
Automated Detection and Closing of Holes in Aerial Point Clouds Using AN Uas
Fiolka, T.; Rouatbi, F.; Bender, D.
2017-08-01
3D terrain models are an important instrument in areas like geology, agriculture and reconnaissance. Using an automated UAS with a line-based LiDAR can create terrain models fast and easily even from large areas. But the resulting point cloud may contain holes and therefore be incomplete. This might happen due to occlusions, a missed flight route due to wind or simply as a result of changes in the ground height which would alter the swath of the LiDAR system. This paper proposes a method to detect holes in 3D point clouds generated during the flight and adjust the course in order to close them. First, a grid-based search for holes in the horizontal ground plane is performed. Then a check for vertical holes mainly created by buildings walls is done. Due to occlusions and steep LiDAR angles, closing the vertical gaps may be difficult or even impossible. Therefore, the current approach deals with holes in the ground plane and only marks the vertical holes in such a way that the operator can decide on further actions regarding them. The aim is to efficiently create point clouds which can be used for the generation of complete 3D terrain models.
Majid, S.
1997-01-01
We introduce braided Lie bialgebras as the infinitesimal version of braided groups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie cobracket an infinitesimal braiding. We provide theorems of transmutation, Lie biproduct, bosonisation and double-bosonisation relating braided Lie bialgebras to usual Lie bialgebras. Among the results, the kernel of any split projection of Lie bialgebras is a braided-Lie bialgebra. The Kirillov-Kostant Lie cobracket provides a natural bra...
Conductivity of Weakly Disordered Metals Close to a "Ferromagnetic" Quantum Critical Point
Kastrinakis, George
2018-01-01
We calculate analytically the conductivity of weakly disordered metals close to a "ferromagnetic" quantum critical point in the low-temperature regime. Ferromagnetic in the sense that the effective carrier potential V(q,ω ) , due to critical fluctuations, is peaked at zero momentum q=0 . Vertex corrections, due to both critical fluctuations and impurity scattering, are explicitly considered. We find that only the vertex corrections due to impurity scattering, combined with the self-energy, generate appreciable effects as a function of the temperature T and the control parameter a, which measures the proximity to the critical point. Our results are consistent with resistivity experiments in several materials displaying typical Fermi liquid behaviour, but with a diverging prefactor of the T^2 term for small a.
Quantum correction to conductivity close to ferromagnetic quantum critical point in two dimensions
International Nuclear Information System (INIS)
Paul, I.; Pepin, C.; Narozhny, B.N.; Maslov, D.L.
2005-05-01
We study the temperature dependence of the conductivity due to quantum interference processes for a two-dimensional disordered itinerant electron system close to a ferromagnetic quantum critical point. Near the quantum critical point, the cross-over between diffusive and ballistic regimes of quantum interference effects occurs at a temperature T* 1/τγ(E F τ) 2 where γ is the parameter associated with the Landau damping of the spin fluctuations, τ is the impurity scattering time, and E F is the Fermi energy. For a generic choice of parameters, T* is smaller than the nominal crossover scale 1/τ. In the ballistic quantum critical regime, the conductivity behaves as T 1/3 . (author)
Lie groups and Lie algebras for physicists
Das, Ashok
2015-01-01
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.
Anomalous transport phenomena in CeCoIn{sub 5} close to quantum critical point
Energy Technology Data Exchange (ETDEWEB)
Onari, S. [Department of Applied Physics, Nagoya University, Nagoya 464-8603 (Japan)]. E-mail: onari@fcs.coe.nagoya-u.ac.jp; Kontani, H. [Department of Physics, Nagoya University, Nagoya 464-8602 (Japan); Tanaka, Y. [Department of Applied Physics, Nagoya University, Nagoya 464-8603 (Japan)
2007-03-15
Various transport coefficients show striking deviations from conventional Fermi-liquid behaviors in many electron systems which are close to antiferromagnetic (AF) quantum critical points (QCP). For example, Hall coefficients and Nernst coefficients in three-dimensional heavy fermion CeCoIn{sub 5} and CeCu{sub 6-x}Au{sub x} increase remarkably at low temperatures. These temperature dependences are too strong to explain in terms of the relaxation time approximation. To elucidate the origin of these anomalous transport phenomena in three-dimensional systems, we study the role of current vertex corrections (CVC) based on the fluctuation exchange (FLEX) approximation. We find that the Hall coefficient and the Nernst coefficient strongly increase due to the CVC in the vicinity of the AF QCP, even in three-dimensional systems.
Particle-like structure of Lie algebras
Vinogradov, A. M.
2017-07-01
If a Lie algebra structure 𝔤 on a vector space is the sum of a family of mutually compatible Lie algebra structures 𝔤i's, we say that 𝔤 is simply assembled from the 𝔤i's. Repeating this procedure with a number of Lie algebras, themselves simply assembled from the 𝔤i's, one obtains a Lie algebra assembled in two steps from 𝔤i's, and so on. We describe the process of modular disassembling of a Lie algebra into a unimodular and a non-unimodular part. We then study two inverse questions: which Lie algebras can be assembled from a given family of Lie algebras, and from which Lie algebras can a given Lie algebra be assembled. We develop some basic assembling and disassembling techniques that constitute the elements of a new approach to the general theory of Lie algebras. The main result of our theory is that any finite-dimensional Lie algebra over an algebraically closed field of characteristic zero or over R can be assembled in a finite number of steps from two elementary constituents, which we call dyons and triadons. Up to an abelian summand, a dyon is a Lie algebra structure isomorphic to the non-abelian 2-dimensional Lie algebra, while a triadon is isomorphic to the 3-dimensional Heisenberg Lie algebra. As an example, we describe constructions of classical Lie algebras from triadons.
Energy Technology Data Exchange (ETDEWEB)
R. Axford
2002-08-02
New methods are developed to construct exact difference equations from which numerical solutions of both initial value problems and two-point boundary value problems involving first and second order ordinary differential equations can be computed. These methods are based upon the transformation theory of differential equations and require the identification of symmetry properties of the differential equations. The concept of the divergence-invariance of a variational principle is also applied to the construction of difference equations. It is shown how first and second order ordinary differential equations that admit groups of point transformations can be integrated numerically by constructing any number of exact difference equations.
On a closed form solution of the point kinetics equations with reactivity feedback of temperature
International Nuclear Information System (INIS)
Silva, Jeronimo J.A.; Vilhena, Marco T.M.B.; Petersen, Claudio Z.; Bodmann, Bardo E.J.; Alvim, Antonio C.M.
2011-01-01
An analytical solution of the point kinetics equations to calculate reactivity as a function of time by the Decomposition method has recently appeared in the literature. In this paper, we go one step forward, by considering the neutron point kinetics equations together with temperature feedback effects. To accomplish that, we extended the point kinetics by a temperature perturbation, obtaining a second order nonlinear ordinary differential equation. This equation is then solved by the Decomposition Method, that is, by expanding the neutron density in a series and the nonlinear terms into Adomian Polynomials. Substituting these expansions into the nonlinear ordinary equation, we construct a recursive set of linear problems that can be solved by the methodology previously mentioned for the point kinetics equation. We also report on numerical simulations and comparisons against literature results. (author)
The central part of CMS before closing in the Hall of Cessy at Point 5.
Maximilien Brice
2006-01-01
The solid steel yoke (red) comprising three concentric layers interspersed with muon chambers (silver) surround the superconducting solenoid (silver-coloured ring) and Hadron Calorimeter (gold-coloured). Inside the hadron calorimeter physicists and engineers are preparing the "field mapper", a device that measures the strength and uniformity of the magnetic field when CMS is closed.
Breathing difficulty - lying down
... short of breath; Paroxysmal nocturnal dyspnea; PND; Difficulty breathing while lying down; Orthopnea; Heart failure - orthopnea ... Heart failure Obesity (does not directly cause difficulty breathing while lying down but often worsens other conditions ...
Cappelen, Alexander W.; Sørensen, Erik Ø.; Tungodden, Bertil
2012-01-01
The paper reports from an experiment studying how the aversion to lying is affected by non-economic dimensions of the choice situation. Specifically, we study whether people are more or less likely to lie when the content of the lie is personal, when they base decisions on intuition, and when they are in a market context. We also study how aversion to lying depends on personal characteristics, including age, gender, cognitive ability, personality and social preferences. Our ...
Cappelen, Alexander W.; Sørensen, Erik Ø.; Tungodden, Bertil
2012-01-01
The paper reports from an experiment studying how the aversion to lying is affected by non-economic dimensions of the choice situation. Specifically, we study whether people are more or less likely to lie when the content of the lie is personal, when they base decisions on intuition, and when they are in a market context. We also study how aversion to lying depends on personal characteristics, including age, gender, cognitive ability, personality and social preferences. Our main finding is th...
Integrable finite-dimensional systems related to Lie algebras
International Nuclear Information System (INIS)
Olshanetsky, M.A.; Perelomov, A.M.
1979-01-01
Some solvable finite-dimensional classical and quantum systems related to the Lie algebras are considered. The dynamics of these systems is closely related to free motion on symmetric spaces. In specific cases the systems considered describe the one-dimensional n-body problem recently considered by many authors. The review represents from general and universal point of view the results obtained during the last few years. Besides, it contains some results both of physical and mathematical type
Chen, Yu-Jen; Lin, Yu-Sung; Jiang, I-Min; Tsai, Ming-Shan
2008-03-17
This study investigates the optical nonlinearity of beam propagation in homogeneously aligned nematic liquid crystal (NLC) cells at a temperature close to the nematic-isotropic temperature (TNI). The undulate propagation mode with convergent and divergent loops appearing alternately is reported and the thermally enhanced optical reorientation nonlinearity at the focus is described. The optically induced phase transition exists along the pump beam direction. With the application of the conscopic technique, the arrangements of LC at the focus are proposed in this study. Results of this study demonstrate that the evolution of the LC configuration was affected by the pump beam based on the analysis of conoscopic patterns.
Effect of occlusal contact stability on the jaw closing point during tapping movements.
Nishigawa, Keisuke; Suzuki, Yoshitake; Ishikawa, Teruaki; Bando, Eiichi
2012-04-01
We studied the relationship between tapping point reproducibility and stability of occlusal contacts at maximum intercuspation. Tapping movements of 12 adult volunteers who had dentition with natural teeth were recorded, and distances between the tapping point (TP) and the intercuspal position (ICP) at the incisal point were calculated. Occlusal contacts at the ICP of individual subjects were also evaluated with black-colored silicone impression material. The correlation between TP-ICP distance and occlusal contact stability was studied. TP-ICP distance exhibited negative correlations with the total number of teeth showing occlusal contact at the ICP. Standard deviations of TP-ICP distance also negatively correlated with the extension of occlusal contact area over dentition. This finding indicates that occlusal contacts at the ICP affect the kinematic behavior of tapping movements. The results of this study also suggest that jaw movement data may provide useful clinical information for the evaluation of occlusal contact at ICP. Copyright © 2011 Japan Prosthodontic Society. Published by Elsevier Ltd. All rights reserved.
3D Modeling of Building Indoor Spaces and Closed Doors from Imagery and Point Clouds
Directory of Open Access Journals (Sweden)
Lucía Díaz-Vilariño
2015-02-01
Full Text Available 3D models of indoor environments are increasingly gaining importance due to the wide range of applications to which they can be subjected: from redesign and visualization to monitoring and simulation. These models usually exist only for newly constructed buildings; therefore, the development of automatic approaches for reconstructing 3D indoors from imagery and/or point clouds can make the process easier, faster and cheaper. Among the constructive elements defining a building interior, doors are very common elements and their detection can be very useful either for knowing the environment structure, to perform an efficient navigation or to plan appropriate evacuation routes. The fact that doors are topologically connected to walls by being coplanar, together with the unavoidable presence of clutter and occlusions indoors, increases the inherent complexity of the automation of the recognition process. In this work, we present a pipeline of techniques used for the reconstruction and interpretation of building interiors based on point clouds and images. The methodology analyses the visibility problem of indoor environments and goes in depth with door candidate detection. The presented approach is tested in real data sets showing its potential with a high door detection rate and applicability for robust and efficient envelope reconstruction.
Interactions and ``puff clustering'' close to the critical point in pipe flow
Vasudevan, Mukund; Hof, Björn
2017-11-01
The first turbulent structures to arise in pipe flow are puffs. Albeit transient in nature, their spreading determines if eventually turbulence becomes sustained. Due to the extremely long time scales involved in these processes it is virtually impossible to directly observe the transition and the flow patterns that are eventually assumed in the long time limit. We present a new experimental approach where, based on the memoryless nature of turbulent puffs, we continuously recreate the flow pattern exiting the pipe. These periodic boundary conditions enable us to show that the flow pattern eventually settles to a statistically steady state. While our study confirms the value of the critical point of Rec 2040 , the flow fields show that puffs interact over longer ranges than previously suspected. As a consequence puffs tend to cluster and these regions of large puff densities travel across the puff pattern in a wave like fashion. While transition in Couette flow has been shown to fall into the ``directed percolation'', pipe flow may be more complicated since long range interactions are prohibited for the percolation transition type. Extensive measurements at the critical point will be presented to clarify the nature of the transition.
Bednaršek, Nina; Tarling, Geraint A.; Bakker, Dorothee C. E.; Fielding, Sophie; Feely, Richard A.
2014-01-01
Thecosome pteropods are abundant upper-ocean zooplankton that build aragonite shells. Ocean acidification results in the lowering of aragonite saturation levels in the surface layers, and several incubation studies have shown that rates of calcification in these organisms decrease as a result. This study provides a weight-specific net calcification rate function for thecosome pteropods that includes both rates of dissolution and calcification over a range of plausible future aragonite saturation states (Ωar). We measured gross dissolution in the pteropod Limacina helicina antarctica in the Scotia Sea (Southern Ocean) by incubating living specimens across a range of aragonite saturation states for a maximum of 14 days. Specimens started dissolving almost immediately upon exposure to undersaturated conditions (Ωar∼0.8), losing 1.4% of shell mass per day. The observed rate of gross dissolution was different from that predicted by rate law kinetics of aragonite dissolution, in being higher at Ωar levels slightly above 1 and lower at Ωar levels of between 1 and 0.8. This indicates that shell mass is affected by even transitional levels of saturation, but there is, nevertheless, some partial means of protection for shells when in undersaturated conditions. A function for gross dissolution against Ωar derived from the present observations was compared to a function for gross calcification derived by a different study, and showed that dissolution became the dominating process even at Ωar levels close to 1, with net shell growth ceasing at an Ωar of 1.03. Gross dissolution increasingly dominated net change in shell mass as saturation levels decreased below 1. As well as influencing their viability, such dissolution of pteropod shells in the surface layers will result in slower sinking velocities and decreased carbon and carbonate fluxes to the deep ocean. PMID:25285916
López Pérez, Raúl; Spiegelman, Eli
2012-01-01
Recent experimental evidence suggests that some people dislike telling lies, and tell the truth even at a cost. We use experiments as well to study the socio-demographic covariates of such lie aversion, and find gender and religiosity to be without predictive value. However, subjects’ major is predictive: Business and Economics (B&E) subjects lie significantly more frequently than other majors. This is true even after controlling for subjects’ beliefs about the overall rate ...
How Close Are We to the Temperature Tipping Point of the Biosphere?
Duffy, K. H.
2017-12-01
All biological processes accelerate rapidly with increasing temperature (Tinf); reaching a maximum rate (Tmax), after which they decline. However different biological processes may not be synchronised in their response to increasing temperatures resulting in major dis-equilibria of ecosystem processes. Particularly, the linked processes of photosynthesis and respiration have different curvature that is determined by their inherent sensitivity to temperature. Constraining the difference in temperature curves between photosynthesis and respiration allows us to quantify changes to global carbon metabolism and the land sink of carbon as a whole. During the last century the biosphere has acted as a sink of carbon from the atmosphere partly mitigating accumulation of CO2 derived from burning of fossil fuels Here we ask the following questions: As global temperature increases will photosynthesis and respiration become de-coupled and when? What is Tmax for the land sink, and where is current mean temperature range in regard to this important threshold? At what global and regional temperatures do we expect the biosphere to become a source of carbon to the atmosphere? To address these questions we used the recently released FLUXNET2015 dataset comprised of 212 eddy covariance flux tower sites which concurrently measure land-atmosphere carbon exchange along with micro-meteorological variables. Here, we illustrate our results for Tinf and Tmax of the land sink by biome and for the biosphere as a whole. Our results suggest that recent warming has already pushed us past the inflection point of photosynthesis, and that any additional warming will increase the cumulative annual dose of time spent past Tmax for the land sink. Even under moderate climate projections, we expect to see a slowing of the terrestrial carbon sink by as early as 2040.
Verschuere, B.; Spruyt, A.; Meijer, E.H.; Otgaar, H.
2011-01-01
Brain imaging studies suggest that truth telling constitutes the default of the human brain and that lying involves intentional suppression of the predominant truth response. By manipulating the truth proportion in the Sheffield lie test, we investigated whether the dominance of the truth response
Vrij, Aldert; Taylor, Paul J.; Picornell, Isabel; Oxburgh, Gavin; Myklebust, Trond; Grant, Tim; Milne, Rebecca
2015-01-01
In this chapter, we discuss verbal lie detection and will argue that speech content can be revealing about deception. Starting with a section discussing the, in our view, myth that non-verbal behaviour would be more revealing about deception than speech, we then provide an overview of verbal lie
Hsiang, Wu-Yi
2017-01-01
This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive 'tour of revisiting' the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theory of semi-simple Lie groups, Lie algebras and their representations; and also the wonderful duet of Cartans' theory on Lie groups and symmetric spaces.With the benefit of retrospective hindsight, mainly inspired by the outstanding contribution of H Weyl in the special case of compact connected Lie groups, we develop the above theory via a route quite different from the original methods engaged by most other books.We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius-Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction (cf. Lectures 1-4). It is a wonderful reality of the Lie t...
Sumner, J G; Fernández-Sánchez, J; Jarvis, P D
2012-04-07
Recent work has discussed the importance of multiplicative closure for the Markov models used in phylogenetics. For continuous-time Markov chains, a sufficient condition for multiplicative closure of a model class is ensured by demanding that the set of rate-matrices belonging to the model class form a Lie algebra. It is the case that some well-known Markov models do form Lie algebras and we refer to such models as "Lie Markov models". However it is also the case that some other well-known Markov models unequivocally do not form Lie algebras (GTR being the most conspicuous example). In this paper, we will discuss how to generate Lie Markov models by demanding that the models have certain symmetries under nucleotide permutations. We show that the Lie Markov models include, and hence provide a unifying concept for, "group-based" and "equivariant" models. For each of two and four character states, the full list of Lie Markov models with maximal symmetry is presented and shown to include interesting examples that are neither group-based nor equivariant. We also argue that our scheme is pleasing in the context of applied phylogenetics, as, for a given symmetry of nucleotide substitution, it provides a natural hierarchy of models with increasing number of parameters. We also note that our methods are applicable to any application of continuous-time Markov chains beyond the initial motivations we take from phylogenetics. Crown Copyright Â© 2011. Published by Elsevier Ltd. All rights reserved.
New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology
Pinczon, Georges; Ushirobira, Rosane
2005-01-01
We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.
Universal enveloping Lie Rota-Baxter algebra of preLie and post-Lie algebras
Gubarev, Vsevolod
2017-01-01
Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras are constructed. It is proved that the pairs of varieties (Lie Rota-Baxter algebras of zero weight,preLie algebras) and (Lie Rota-Baxter algebras of nonzero weight,post-Lie algebras) are PBW-pairs and the variety of Lie Rota-Baxter algebras is not Schreier.
Lie theoretic aspects of the Riccati equation
Hermann, R.; Martin, C.
1977-01-01
Various features of the application of Lie theory to matrix Riccati equations, of basic importance in control and system theories, are discussed. Particular consideration is given to centralizer foliation, the Cartan decomposition, matrix Riccati equations as Lie systems on Grassmanians, local analysis near a zero point of a vector field, linearization in homogeneous space, the tangent bundle in terms of partitioned matrices, and stability properties of fixed points of Riccati vector fields.
Iachello, Francesco
2015-01-01
This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part includes a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book highlights a number of examples that help to illustrate the abstract algebraic definitions and includes a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators...
Carnovale, Giovanna; Caselli, Fabrizio; Concini, Corrado; Sole, Alberto
2017-01-01
Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.
Directory of Open Access Journals (Sweden)
M. L. Vianna Baptista
2013-07-01
Full Text Available Integrating different technologies and expertises help fill gaps when optimizing documentation of complex buildings. Described below is the process used in the first part of a restoration project, the architectural survey of Theatre Guaira Cultural Centre in Curitiba, Brazil. To diminish time on fieldwork, the two-person-field-survey team had to juggle, during three days, the continuous artistic activities and performers’ intense schedule. Both technologies (high definition laser scanning and close-range photogrammetry were used to record all details in the least amount of time without disturbing the artists' rehearsals and performances. Laser Scanning was ideal to record the monumental stage structure with all of its existing platforms, light fixtures, scenery walls and curtains. Although scanned with high-definition, parts of the exterior façades were also recorded using Close Range Photogrammetry. Tiny cracks on the marble plaques and mosaic tiles, not visible in the point clouds, were then able to be precisely documented in order to create the exterior façades textures and damages mapping drawings. The combination of technologies and the expertise of service providers, knowing how and what to document, and what to deliver to the client, enabled maximum benefits to the following restoration project.
Tribedi, Amit; Bose, Indrani
2009-01-01
We consider a two-chain, spin- (1)/(2) antiferromagnetic Heisenberg spin ladder in an external magnetic field H . The spin ladder is known to undergo second-order quantum phase transitions (QPTs) at two critical values Hc1 and Hc2 of the magnetic field. There are now known examples of strongly coupled (where the rung exchange interaction is much stronger than the nearest-neighbor intrachain exchange interaction) organic ladder compounds in which QPTs have been experimentally observed. In this paper, we investigate whether well-known bipartite entanglement meaures such as one-site von Neumann entropy, two-site von Neumann entropy, and concurrence develop special features close to the quantum critical points. As suggested by an earlier theorem, the first derivatives of the measures with respect to magnetic field are expected to diverge as H→Hc1 and H→Hc2 . Based on numerical diagonalization data and a mapping of the strongly coupled ladder Hamiltonian onto the XXZ chain Hamiltonian, for which several analytical results are known, we find that the derivatives of the entanglement measures diverge as H→Hc2 but remain finite as H→Hc1 . The reason for this discrepancy is analyzed. We further calculate two recently proposed quantum information theoretic measures, the reduced fidelity and reduced fidelity susceptibility, and show that these measures provide appropriate signatures of the QPTs occuring at the critical points H=Hc1 and H=Hc2 .
Seron, X
2014-10-01
The issue of lying occurs in neuropsychology especially when examinations are conducted in a forensic context. When a subject intentionally either presents non-existent deficits or exaggerates their severity to obtain financial or material compensation, this behaviour is termed malingering. Malingering is discussed in the general framework of lying in psychology, and the different procedures used by neuropsychologists to evidence a lack of collaboration at examination are briefly presented and discussed. When a lack of collaboration is observed, specific emphasis is placed on the difficulty in unambiguously establishing that this results from the patient's voluntary decision. Copyright © 2014. Published by Elsevier SAS.
Indian Academy of Sciences (India)
Home; Journals; Journal of Biosciences. ZHI-LIE CAO. Articles written in Journal of Biosciences. Volume 42 Issue 2 June 2017 pp 209-218 Article. Genetic diagnosis of a Chinese multiple endocrine neoplasia type 2A family through whole genome sequencing · ZHEN-FANG DU PENG-FEI LI JIAN-QIANG ZHAO ZHI-LIE ...
Directory of Open Access Journals (Sweden)
E. Svanidze
2015-03-01
Full Text Available A quantum critical point (QCP occurs upon chemical doping of the weak itinerant ferromagnet Sc_{3.1}In. Remarkable for a system with no local moments, the QCP is accompanied by non-Fermi liquid behavior, manifested in the logarithmic divergence of the specific heat both in the ferro-and the paramagnetic states, as well as linear temperature dependence of the low-temperature resistivity. With doping, critical scaling is observed close to the QCP, as the critical exponents δ, γ, and β have weak composition dependence, with δ nearly twice and β almost half of their respective mean-field values. The unusually large paramagnetic moment μ_{PM}∼1.3μ_{B}/F.U. is nearly composition independent. Evidence for strong spin fluctuations, accompanying the QCP at x_{c}=0.035±0.005, may be ascribed to the reduced dimensionality of Sc_{3.1}In, associated with the nearly one-dimensional Sc-In chains.
Lie groups, lie algebras, and representations an elementary introduction
Hall, Brian
2015-01-01
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compac...
Lipkin, Harry J
2002-01-01
According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for physicists to understand and use many techniques which have a group theoretical basis without necessarily understanding all of group theory. This book is designed to familiarize physicists with those techniques. Specifically, the author aims to show how the well-known methods of angular momentum algebra can be extended to treat other Lie group
Police lie detection accuracy: the effect of lie scenario.
O'Sullivan, Maureen; Frank, Mark G; Hurley, Carolyn M; Tiwana, Jaspreet
2009-12-01
Although most people are not better than chance in detecting deception, some groups of police professionals have demonstrated significant lie detection accuracy. One reason for this difference may be that the types of lies police are asked to judge in scientific experiments often do not represent the types of lies they see in their profession. Across 23 studies, involving 31 different police groups in eight countries, police officers tested with lie detection scenarios using high stakes lies (i.e., the lie was personally involving and/or resulted in substantial rewards or punishments for the liar) were significantly more accurate than law enforcement officials tested with low stakes lies. Face validity and construct validity of various lie scenarios are differentiated.
Telling lies: the irrepressible truth?
Directory of Open Access Journals (Sweden)
Emma J Williams
Full Text Available Telling a lie takes longer than telling the truth but precisely why remains uncertain. We investigated two processes suggested to increase response times, namely the decision to lie and the construction of a lie response. In Experiments 1 and 2, participants were directed or chose whether to lie or tell the truth. A colored square was presented and participants had to name either the true color of the square or lie about it by claiming it was a different color. In both experiments we found that there was a greater difference between lying and telling the truth when participants were directed to lie compared to when they chose to lie. In Experiments 3 and 4, we compared response times when participants had only one possible lie option to a choice of two or three possible options. There was a greater lying latency effect when questions involved more than one possible lie response. Experiment 5 examined response choice mechanisms through the manipulation of lie plausibility. Overall, results demonstrate several distinct mechanisms that contribute to additional processing requirements when individuals tell a lie.
Telling lies: the irrepressible truth?
Williams, Emma J; Bott, Lewis A; Patrick, John; Lewis, Michael B
2013-01-01
Telling a lie takes longer than telling the truth but precisely why remains uncertain. We investigated two processes suggested to increase response times, namely the decision to lie and the construction of a lie response. In Experiments 1 and 2, participants were directed or chose whether to lie or tell the truth. A colored square was presented and participants had to name either the true color of the square or lie about it by claiming it was a different color. In both experiments we found that there was a greater difference between lying and telling the truth when participants were directed to lie compared to when they chose to lie. In Experiments 3 and 4, we compared response times when participants had only one possible lie option to a choice of two or three possible options. There was a greater lying latency effect when questions involved more than one possible lie response. Experiment 5 examined response choice mechanisms through the manipulation of lie plausibility. Overall, results demonstrate several distinct mechanisms that contribute to additional processing requirements when individuals tell a lie.
Renormalized Lie perturbation theory
International Nuclear Information System (INIS)
Rosengaus, E.; Dewar, R.L.
1981-07-01
A Lie operator method for constructing action-angle transformations continuously connected to the identity is developed for area preserving mappings. By a simple change of variable from action to angular frequency a perturbation expansion is obtained in which the small denominators have been renormalized. The method is shown to lead to the same series as the Lagrangian perturbation method of Greene and Percival, which converges on KAM surfaces. The method is not superconvergent, but yields simple recursion relations which allow automatic algebraic manipulation techniques to be used to develop the series to high order. It is argued that the operator method can be justified by analytically continuing from the complex angular frequency plane onto the real line. The resulting picture is one where preserved primary KAM surfaces are continuously connected to one another
Debey, E.; De Houwer, J.; Verschuere, B.
2014-01-01
Cognitive models of deception focus on the conflict-inducing nature of the truth activation during lying. Here we tested the counterintuitive hypothesis that the truth can also serve a functional role in the act of lying. More specifically, we examined whether the construction of a lie can involve a
How People Really Detect Lies.
Park, Hee Sun; Levine, Timothy R.; McCornack, Steven A.; Morrison, Kelly; Ferrara, Merissa
2002-01-01
Considers that participants in previous deception detection experiments may not have had access to the types of information people most often use to detect real-life lies. Suggests that people most often rely on information from third parties and physical evidence when detecting lies, and that the detection of a lie is a process that takes days,…
Indian Academy of Sciences (India)
We also introduced in [1] techniques of connection of roots in the framework of split Lie algebras. In the present paper we extend these techniques to the framework of split Lie triple systems so as to obtain a generalization of the results in [1]. We consider the wide class of split Lie triple systems (which contains the class of.
Indian Academy of Sciences (India)
Lie triple system; system of roots; root space; split Lie algebra; structure theory. 1. Introduction and previous definitions. Throughout this paper, Lie triple systems T are considered of arbitrary dimension and over an arbitrary field K. It is worth to mention that, unless otherwise stated, there is not any restriction on dim Tα or {k ...
Cyclic theory of Lie algebroids
Blom, A.
2017-01-01
In this thesis we study the cyclic theory of universal enveloping algebras of Lie algebroids. Lie algebroids are geometrical objects that encode infinitesimal symmetries, and the concept encompasses many classical objects from geometry, such as Poisson manifolds, foliations and actions of Lie
Celse, Jérémy; Chang, Kirk
2017-11-30
This research analyzed whether political leaders make people lie via priming experiments. Priming is a non-conscious and implicit memory effect in which exposure to one stimulus affects the response to another. Following priming theories, we proposed an innovative concept that people who perceive leaders to be dishonest (such as liars) are likely to lie themselves. We designed three experiments to analyze and critically discussed the potential influence of prime effect on lying behavior, through the prime effect of French political leaders (including general politicians, presidents and parties). Experiment 1 discovered that participants with non-politician-prime were less likely to lie (compared to politician-prime). Experiment 2A discovered that, compared to Hollande-prime, Sarkozy-prime led to lying behavior both in gravity (i.e., bigger lies) and frequency (i.e., lying more frequently). Experiment 2B discovered that Republicans-prime yielded an impact on more lying behavior, and Sarkozy-prime made such impact even stronger. Overall, the research findings suggest that lying can be triggered by external influencers such as leaders, presidents and politicians in the organizations. Our findings have provided valuable insights into organizational leaders and managers in their personnel management practice, especially in the intervention of lying behavior. Our findings also have offered new insights to explain non-conscious lying behavior.
Learning the Lie groups of visual invariance.
Miao, Xu; Rao, Rajesh P N
2007-10-01
A fundamental problem in biological and machine vision is visual invariance: How are objects perceived to be the same despite transformations such as translations, rotations, and scaling? In this letter, we describe a new, unsupervised approach to learning invariances based on Lie group theory. Unlike traditional approaches that sacrifice information about transformations to achieve invariance, the Lie group approach explicitly models the effects of transformations in images. As a result, estimates of transformations are available for other purposes, such as pose estimation and visuomotor control. Previous approaches based on first-order Taylor series expansions of images can be regarded as special cases of the Lie group approach, which utilizes a matrix-exponential-based generative model of images and can handle arbitrarily large transformations. We present an unsupervised expectation-maximization algorithm for learning Lie transformation operators directly from image data containing examples of transformations. Our experimental results show that the Lie operators learned by the algorithm from an artificial data set containing six types of affine transformations closely match the analytically predicted affine operators. We then demonstrate that the algorithm can also recover novel transformation operators from natural image sequences. We conclude by showing that the learned operators can be used to both generate and estimate transformations in images, thereby providing a basis for achieving visual invariance.
Lie groups and grand unified theories
International Nuclear Information System (INIS)
Gubitoso, M.D.
1987-01-01
This work presents some concepts in group theory and Lie algebras and, at same time, shows a method to study and work with semisimple Lie groups, based on Dynkin diagrams. The aproach taken is not completely formal, but it presents the main points of the elaboration of the method, so its mathematical basis is designed with the purpose of making the reading not so cumbersome to those who are interested only in a general picture of the method and its usefulness. At the end it is shown a brief review of gauge theories and two grand-unification models based on SO(13) and E 7 gauge groups. (author) [pt
Character and Dimension Formulae for Queer Lie Superalgebra
Su, Yucai; Zhang, R. B.
2015-02-01
Closed formulae are constructed for the characters and dimensions of the finite dimensional simple modules of the queer Lie superalgebra . This is achieved by refining Brundan's algorithm for computing simple -characters.
DEFF Research Database (Denmark)
Gloos, K.; Utko, P.; Aagesen, M.
2006-01-01
We investigate the I(V) characteristics (current versus bias voltage) of side-gated quantum-point contacts, defined in GaAs/AlxGa1-xAs heterostructures. These point contacts are operated in the closed-channel regime, that is, at fixed gate voltages below zero-bias pinch-off for conductance. Our....... Such a built-in energy-voltage calibration allows us to distinguish between the different contributions to the electron transport across the pinched-off contact due to thermal activation or quantum tunneling. The first involves the height of the barrier, and the latter also its length. In the model that we...
Díaz Fernández, Ester
2010-01-01
In this thesis, new models and methodologies are introduced for the analysis of dynamic processes characterized by image sequences with spatial temporal overlapping. The spatial temporal overlapping exists in many natural phenomena and should be addressed properly in several Science disciplines such as Microscopy, Material Sciences, Biology, Geostatistics or Communication Networks. This work is related to the Point Process and Random Closed Set theories, within Stochastic Ge...
Lie group analysis : Classical Heritage
Ibragimov, Nail H.
2004-01-01
Classical works in Lie group analysis, e.g. important papers of S.Lie and A.V.Bäcklund are written in old German and somewhat old fashioned mathematical language. The present volume comprises translation into English of fundamental papers of S. Lie, A.V.Bäcklund and L.V. Ovsyannikov. I have selected here some of my favorite papers containing profound results significant for modern group analysis. The first paper imparts not only Lie's interesting view on the development of the general th...
Lie families: theory and applications
International Nuclear Information System (INIS)
Carinena, Jose F; Grabowski, Janusz; De Lucas, Javier
2010-01-01
We analyze the families of non-autonomous systems of first-order ordinary differential equations admitting a common time-dependent superposition rule, i.e. a time-dependent map expressing any solution of each of these systems in terms of a generic set of particular solutions of the system and some constants. We next study the relations of these families, called Lie families, with the theory of Lie and quasi-Lie systems and apply our theory to provide common time-dependent superposition rules for certain Lie families.
Lying in the scanner: localized inhibition predicts lying skill.
Vartanian, Oshin; Kwantes, Peter; Mandel, David R
2012-10-31
Recent literature suggests that lying may be revealed by elevated cognitive effort. A functional magnetic resonance imaging experiment using a match-mismatch detection task was conducted that found support for this hypothesis in two ways. First, compared to truthful reporting, lying (i.e., responding that matches were mismatches or vice versa) triggered greater activation of the working memory network in the brain. This was especially true for lying about a match, where activation in the WM network was found to be greater than when lying about a mismatch. Lying also activated the right rostrolateral prefrontal cortex (BA 10)-a key cognitive control region that regulates the interplay between stimulus-oriented and internally-generated schemas. Second, activation in the right inferior frontal gyrus (BA 44) - a brain region underpinning inhibition - predicted lying skill. The findings show that the neural correlates of cognitive effort and control can be used to detect lying, and that a specific neural marker of inhibition can predict how well one lies. Crown Copyright © 2012. Published by Elsevier Ireland Ltd. All rights reserved.
Lie and Noether symmetries of systems of complex ordinary ...
Indian Academy of Sciences (India)
The Lie and Noether point symmetry analyses of a th-order system of complex ordinary differential equations (ODEs) with dependent variables are performed. The decomposition of complex symmetries of the given system of complex ODEs yields Lie- and Noether-like operators. The system of complex ODEs can be ...
Nonstandard Methods in Lie Theory
Goldbring, Isaac Martin
2009-01-01
In this thesis, we apply model theory to Lie theory and geometric group theory. These applications of model theory come via nonstandard analysis. In Lie theory, we use nonstandard methods to prove two results. First, we give a positive solution to the local form of Hilbert's Fifth Problem, which asks whether every locally euclidean local…
Last multipliers on Lie algebroids
Indian Academy of Sciences (India)
Abstract. In this paper we extend the theory of last multipliers as solutions of the. Liouville's transport equation to Lie algebroids with their top exterior power as trivial line bundle (previously developed for vector fields and multivectors). We define the notion of exact section and the Liouville equation on Lie algebroids.
Group discussion improves lie detection.
Klein, Nadav; Epley, Nicholas
2015-06-16
Groups of individuals can sometimes make more accurate judgments than the average individual could make alone. We tested whether this group advantage extends to lie detection, an exceptionally challenging judgment with accuracy rates rarely exceeding chance. In four experiments, we find that groups are consistently more accurate than individuals in distinguishing truths from lies, an effect that comes primarily from an increased ability to correctly identify when a person is lying. These experiments demonstrate that the group advantage in lie detection comes through the process of group discussion, and is not a product of aggregating individual opinions (a "wisdom-of-crowds" effect) or of altering response biases (such as reducing the "truth bias"). Interventions to improve lie detection typically focus on improving individual judgment, a costly and generally ineffective endeavor. Our findings suggest a cheap and simple synergistic approach of enabling group discussion before rendering a judgment.
On Lie Group-Lie Algebra Correspondences of Unitary Groups in Finite Von Neumann Algebras
Ando, Hiroshi; Ojima, Izumi; Matsuzawa, Yasumichi
2011-01-01
This article is a summary of our talk in QBIC2010. We give an affirmative answer to the question whether there exist Lie algebras for suitable closed subgroups of the unitary group U( {H}) in a Hilbert space {H} with U( {H}) equipped with the strong operator topology. More precisely, for any strongly closed subgroup G of the unitary group U( {M}) in a finite von Neumann algebra {M}, we show that the set of all generators of strongly continuous one-parameter subgroups of G forms a complete topological Lie algebra with respect to the strong resolvent topology. We also characterize the algebra /line {M} of all densely defined closed operators affiliated with {M} from the viewpoint of a tensor category.
Moshagen, Morten; Musch, Jochen; Erdfelder, Edgar
2012-03-01
Surveys on sensitive issues provide distorted prevalence estimates when participants fail to respond truthfully. The randomized-response technique (RRT) encourages more honest responding by adding random noise to responses, thereby removing any direct link between a participant's response and his or her true status with regard to a sensitive attribute. However, in spite of the increased confidentiality, some respondents still refuse to disclose sensitive attitudes or behaviors. To remedy this problem, we propose an extension of Mangat's (Journal of the Royal Statistical Society: Series B, 56, 93-95, 1994) variant of the RRT that allows for determining whether participants respond truthfully. This method offers the genuine advantage of providing undistorted prevalence estimates for sensitive attributes even if respondents fail to respond truthfully. We show how to implement the method using both closed-form equations and easily accessible free software for multinomial processing tree models. Moreover, we report the results of two survey experiments that provide evidence for the validity of our extension of Mangat's RRT approach.
STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS
Directory of Open Access Journals (Sweden)
Andreas Löhle
2014-04-01
Full Text Available A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE with a PT symmetric external potential. If the strength of the in- and outcoupling is increased two PT broken states bifurcate from the PT symmetric ground state. At this bifurcation point a stability change of the ground state is expected. However, it is observed that this stability change does not occur exactly at the bifurcation but at a slightly different strength of the in-/outcoupling effect. We investigate a Bose-Einstein condensate in a PT symmetric double-δ potential and calculate the stationary states. The ground state’s stability is analysed by means of the Bogoliubov-de Gennes equations and it is shown that the difference in the strength of the in-/outcoupling between the bifurcation and the stability change can be completely explained by the norm-dependency of the nonlinear term in the Gross-Pitaevskii equation.
Invariants of triangular Lie algebras
International Nuclear Information System (INIS)
Boyko, Vyacheslav; Patera, Jiri; Popovych, Roman
2007-01-01
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special upper triangular Lie algebras. Algebraic algorithm of Boyko et al (2006 J. Phys. A: Math. Gen.39 5749 (Preprint math-ph/0602046)), developed further in Boyko et al (2007 J. Phys. A: Math. Theor.40 113 (Preprint math-ph/0606045)), is used to determine the invariants. A conjecture of Tremblay and Winternitz (2001 J. Phys. A: Math. Gen.34 9085), concerning the number of independent invariants and their form, is corroborated
Historical Techniques of Lie Detection.
Vicianova, Martina
2015-08-01
Since time immemorial, lying has been a part of everyday life. For this reason, it has become a subject of interest in several disciplines, including psychology. The purpose of this article is to provide a general overview of the literature and thinking to date about the evolution of lie detection techniques. The first part explores ancient methods recorded circa 1000 B.C. (e.g., God's judgment in Europe). The second part describes technical methods based on sciences such as phrenology, polygraph and graphology. This is followed by an outline of more modern-day approaches such as FACS (Facial Action Coding System), functional MRI, and Brain Fingerprinting. Finally, after the familiarization with the historical development of techniques for lie detection, we discuss the scope for new initiatives not only in the area of designing new methods, but also for the research into lie detection itself, such as its motives and regulatory issues related to deception.
"Lie to me"-Oxytocin impairs lie detection between sexes.
Pfundmair, Michaela; Erk, Wiebke; Reinelt, Annika
2017-10-01
The hormone oxytocin modulates various aspects of social behaviors and even seems to lead to a tendency for gullibility. The aim of the current study was to investigate the effect of oxytocin on lie detection. We hypothesized that people under oxytocin would be particularly susceptible to lies told by people of the opposite sex. After administration of oxytocin or a placebo, male and female participants were asked to judge the veracity of statements from same- vs. other-sex actors who either lied or told the truth. Results showed that oxytocin decreased the ability of both male and female participants to correctly classify other-sex statements as truths or lies compared to placebo. This effect was based on a lower ability to detect lies and not a stronger bias to regard truth statements as false. Revealing a new effect of oxytocin, the findings may support assumptions about the hormone working as a catalyst for social adaption. Copyright © 2017. Published by Elsevier Ltd.
Bicovariant quantum algebras and quantum Lie algebras
International Nuclear Information System (INIS)
Schupp, P.; Watts, P.; Zumino, B.
1993-01-01
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from Fun(G q ) to U q g, given by elements of the pure braid group. These operators - the 'reflection matrix' Y= triple bond L + SL - being a special case - generate algebras that linearly close under adjoint actions, i.e. they form generalized Lie algebras. We establish the connection between the Hopf algebra formulation of the calculus and a formulation in compact matrix form which is quite powerful for actual computations and as applications we find the quantum determinant and an orthogonality relation for Y in SO q (N). (orig.)
Invariants of generalized Lie algebras
International Nuclear Information System (INIS)
Agrawala, V.K.
1981-01-01
Invariants and invariant multilinear forms are defined for generalized Lie algebras with arbitrary grading and commutation factor. Explicit constructions of invariants and vector operators are given by contracting invariant forms with basic elements of the generalized Lie algebra. The use of the matrix of a linear map between graded vector spaces is emphasized. With the help of this matrix, the concept of graded trace of a linear operator is introduced, which is a rich source of multilinear forms of degree zero. To illustrate the use of invariants, a characteristic identity similar to that of Green is derived and a few Racah coefficients are evaluated in terms of invariants
String Topology for Lie Groups
DEFF Research Database (Denmark)
A. Hepworth, Richard
2010-01-01
In 1999 Chas and Sullivan showed that the homology of the free loop space of an oriented manifold admits the structure of a Batalin-Vilkovisky algebra. In this paper we give a direct description of this Batalin-Vilkovisky algebra in the case that the manifold is a compact Lie group G. Our answer ...
Lie groups and algebraic groups
Indian Academy of Sciences (India)
. These fields are interrelated and each of these fields contributes to the other. 2. Examples and classification. We first give some examples of Lie groups. The most frequently occurring ones are the linear classical groups GLn(R), GLn(C), ...
Last multipliers on Lie algebroids
Indian Academy of Sciences (India)
Mircea Crasmareanu and Cristina-Elena Hretcanu especially the Lie derivative, a well-known tool for the geometry of vector fields. In [5] the previous theory is extended to general multivectors by means of the curl operator (i.e. a conjugate of the usual exterior derivative with respect to contraction of a given volume form).
Lie groups and algebraic groups
Indian Academy of Sciences (India)
M S RAGHUNATHAN and T N VENKATARAMANA. ∗. School of Mathematics, Tata Institute of Fundamental ... linear classical groups GLn(R), GLn(C), SOn(R),. SOn(C), Spn(R) and Spn(C). Let us call a con- nected Lie ..... split groups due respectively to C C Moore and. V Deodhar. B Sury solved the congruence subgroup ...
Leibniz Algebras and Lie Algebras
Directory of Open Access Journals (Sweden)
Geoffrey Mason
2013-10-01
Full Text Available This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Cartan Connections and Lie Algebroids
Directory of Open Access Journals (Sweden)
Michael Crampin
2009-06-01
Full Text Available This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006, 3651–3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001, 1511–1548].
Indian Academy of Sciences (India)
The key tool in this job is the notion of connection of roots in the framework of split Lie triple systems. Author Affiliations. Antonio J Calderón Martín1. Departamento de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Cádiz, Spain. Dates. Manuscript received: 25 January 2008. Proceedings – Mathematical Sciences.
International Nuclear Information System (INIS)
1979-12-01
The environmental statement includes information concerning the alternative closed cycle cooling systems; schedule and permits; environmental impacts of feasible alternative closed cycle cooling systems; socio-economic impact of closed cycle cooling systems; and evaluation of proposed action
Correlations in quantum systems and branch points in the complex plane
Rotter, I.
2001-01-01
Branch points in the complex plane are responsible for avoided level crossings in closed and open quantum systems. They create not only an exchange of the wave functions but also a mixing of the states of a quantum system at high level density. The influence of branch points in the complex plane on the low-lying states of the system is small.
Particle-like structure of coaxial Lie algebras
Vinogradov, A. M.
2018-01-01
This paper is a natural continuation of Vinogradov [J. Math. Phys. 58, 071703 (2017)] where we proved that any Lie algebra over an algebraically closed field or over R can be assembled in a number of steps from two elementary constituents, called dyons and triadons. Here we consider the problems of the construction and classification of those Lie algebras which can be assembled in one step from base dyons and triadons, called coaxial Lie algebras. The base dyons and triadons are Lie algebra structures that have only one non-trivial structure constant in a given basis, while coaxial Lie algebras are linear combinations of pairwise compatible base dyons and triadons. We describe the maximal families of pairwise compatible base dyons and triadons called clusters, and, as a consequence, we give a complete description of the coaxial Lie algebras. The remarkable fact is that dyons and triadons in clusters are self-organised in structural groups which are surrounded by casings and linked by connectives. We discuss generalisations and applications to the theory of deformations of Lie algebras.
Functional MRI-based lie detection: scientific and societal challenges.
Farah, Martha J; Hutchinson, J Benjamin; Phelps, Elizabeth A; Wagner, Anthony D
2014-02-01
Functional MRI (fMRI)-based lie detection has been marketed as a tool for enhancing personnel selection, strengthening national security and protecting personal reputations, and at least three US courts have been asked to admit the results of lie detection scans as evidence during trials. How well does fMRI-based lie detection perform, and how should the courts, and society more generally, respond? Here, we address various questions — some of which are based on a meta-analysis of published studies — concerning the scientific state of the art in fMRI-based lie detection and its legal status, and discuss broader ethical and societal implications. We close with three general policy recommendations.
Probability on compact Lie groups
Applebaum, David
2014-01-01
Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the non-commutative Fourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures, and the statistical problem of deconvolution. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, s...
Unconscious processes improve lie detection.
Reinhard, Marc-André; Greifeneder, Rainer; Scharmach, Martin
2013-11-01
The capacity to identify cheaters is essential for maintaining balanced social relationships, yet humans have been shown to be generally poor deception detectors. In fact, a plethora of empirical findings holds that individuals are only slightly better than chance when discerning lies from truths. Here, we report 5 experiments showing that judges' ability to detect deception greatly increases after periods of unconscious processing. Specifically, judges who were kept from consciously deliberating outperformed judges who were encouraged to do so or who made a decision immediately; moreover, unconscious thinkers' detection accuracy was significantly above chance level. The reported experiments further show that this improvement comes about because unconscious thinking processes allow for integrating the particularly rich information basis necessary for accurate lie detection. These findings suggest that the human mind is not unfit to distinguish between truth and deception but that this ability resides in previously overlooked processes. PsycINFO Database Record (c) 2013 APA, all rights reserved.
International Nuclear Information System (INIS)
Baeuerle, G.G.A.; Kerf, E.A. de
1990-01-01
The structure of the laws in physics is largely based on symmetries. This book is on Lie algebras, the mathematics of symmetry. It gives a thorough mathematical treatment of finite dimensional Lie algebras and Kac-Moody algebras. Concepts such as Cartan matrix, root system, Serre's construction are carefully introduced. Although the book can be read by an undergraduate with only an elementary knowledge of linear algebra, the book will also be of use to the experienced researcher. Experience has shown that students who followed the lectures are well-prepared to take on research in the realms of string-theory, conformal field-theory and integrable systems. 48 refs.; 66 figs.; 3 tabs
Construction of Difference Equations Using Lie Groups
International Nuclear Information System (INIS)
Axford, R.A.
1998-01-01
The theory of prolongations of the generators of groups of point transformations to the grid point values of dependent variables and grid spacings is developed and applied to the construction of group invariant numerical algorithms. The concepts of invariant difference operators and generalized discrete sources are introduced for the discretization of systems of inhomogeneous differential equations and shown to produce exact difference equations. Invariant numerical flux functions are constructed from the general solutions of first order partial differential equations that come out of the evaluation of the Lie derivatives of conservation forms of difference schemes. It is demonstrated that invariant numerical flux functions with invariant flux or slope limiters can be determined to yield high resolution difference schemes. The introduction of an invariant flux or slope limiter can be done so as not to break the symmetry properties of a numerical flux-function
Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Directory of Open Access Journals (Sweden)
A. Rezaei-Aghdam
2018-01-01
Full Text Available Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie T-dual sigma models on Lie groups, which have Jacobi–Lie symmetry. Using this symmetry, new cases of duality appear and some examples are given. This generalization may provide insights to understand the quantum features of Poisson–Lie T-duality, in a more satisfactory way.
Can Lies Be Detected Unconsciously?
Directory of Open Access Journals (Sweden)
David eShanks
2015-08-01
Full Text Available People are typically poor at telling apart truthful and deceptive statements. Based on the Unconscious Thought Theory, it has been suggested that poor lie detection arises from the intrinsic limitations of conscious thinking and can be improved by facilitating the contribution of unconscious thought. In support of this hypothesis, Reinhard, Greifeneder, and Scharmach (2013 observed improved lie detection among participants engaging in unconscious thought. The present study aimed to replicate this unconscious thought advantage using a similar experimental procedure but with an important improvement in a key control condition. Specifically, participants judged the truthfulness of 8 video recordings in three thinking modes: immediately after watching them or after a period of unconscious or conscious deliberation. Results from two experiments (combined N = 226 failed to reveal a significant difference in lie detection accuracy between the thinking modes, even after efforts were made to facilitate the occurrence of an unconscious thought advantage in Experiment 2. The results imply that the unconscious thought advantage in deception detection is not a robust phenomenon.
Can lies be detected unconsciously?
Moi, Wen Ying; Shanks, David R
2015-01-01
People are typically poor at telling apart truthful and deceptive statements. Based on the Unconscious Thought Theory, it has been suggested that poor lie detection arises from the intrinsic limitations of conscious thinking and can be improved by facilitating the contribution of unconscious thought (UT). In support of this hypothesis, Reinhard et al. (2013) observed improved lie detection among participants engaging in UT. The present study aimed to replicate this UT advantage using a similar experimental procedure but with an important improvement in a key control condition. Specifically, participants judged the truthfulness of eight video recordings in three thinking modes: immediately after watching them or after a period of unconscious or conscious deliberation. Results from two experiments (combined N = 226) failed to reveal a significant difference in lie detection accuracy between the thinking modes, even after efforts were made to facilitate the occurrence of an UT advantage in Experiment 2. The results imply that the UT advantage in deception detection is not a robust phenomenon.
Fractional supersymmetry and infinite dimensional lie algebras
International Nuclear Information System (INIS)
Rausch de Traubenberg, M.
2001-01-01
In an earlier work extensions of supersymmetry and super Lie algebras were constructed consistently starting from any representation D of any Lie algebra g. Here it is shown how infinite dimensional Lie algebras appear naturally within the framework of fractional supersymmetry. Using a differential realization of g this infinite dimensional Lie algebra, containing the Lie algebra g as a sub-algebra, is explicitly constructed
The reliability of lie detection performance.
Leach, Amy-May; Lindsay, R C L; Koehler, Rachel; Beaudry, Jennifer L; Bala, Nicholas C; Lee, Kang; Talwar, Victoria
2009-02-01
We examined whether individuals' ability to detect deception remained stable over time. In two sessions, held one week apart, university students viewed video clips of individuals and attempted to differentiate between the lie-tellers and truth-tellers. Overall, participants had difficulty detecting all types of deception. When viewing children answering yes-no questions about a transgression (Experiments 1 and 5), participants' performance was highly reliable. However, rating adults who provided truthful or fabricated accounts did not produce a significant alternate forms correlation (Experiment 2). This lack of reliability was not due to the types of deceivers (i.e., children versus adults) or interviews (i.e., closed-ended questions versus extended accounts) (Experiment 3). Finally, the type of deceptive scenario (naturalistic vs. experimentally-manipulated) could not account for differences in reliability (Experiment 4). Theoretical and legal implications are discussed.
Filiform Lie algebras of order 3
International Nuclear Information System (INIS)
Navarro, R. M.
2014-01-01
The aim of this work is to generalize a very important type of Lie algebras and superalgebras, i.e., filiform Lie (super)algebras, into the theory of Lie algebras of order F. Thus, the concept of filiform Lie algebras of order F is obtained. In particular, for F = 3 it has been proved that by using infinitesimal deformations of the associated model elementary Lie algebra it can be obtained families of filiform elementary lie algebras of order 3, analogously as that occurs into the theory of Lie algebras [M. Vergne, “Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes,” Bull. Soc. Math. France 98, 81–116 (1970)]. Also we give the dimension, using an adaptation of the sl(2,C)-module Method, and a basis of such infinitesimal deformations in some generic cases
Filiform Lie algebras of order 3
Navarro, R. M.
2014-04-01
The aim of this work is to generalize a very important type of Lie algebras and superalgebras, i.e., filiform Lie (super)algebras, into the theory of Lie algebras of order F. Thus, the concept of filiform Lie algebras of order F is obtained. In particular, for F = 3 it has been proved that by using infinitesimal deformations of the associated model elementary Lie algebra it can be obtained families of filiform elementary lie algebras of order 3, analogously as that occurs into the theory of Lie algebras [M. Vergne, "Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes," Bull. Soc. Math. France 98, 81-116 (1970)]. Also we give the dimension, using an adaptation of the {sl}(2,{C})-module Method, and a basis of such infinitesimal deformations in some generic cases.
Transformation groups and Lie algebras
Ibragimov, Nail H
2013-01-01
This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.
Supercharacters of queer Lie superalgebras
Cheng, Shun-Jen
2017-06-01
Let g =g0 ¯ ⊕ g1 ¯ be the queer Lie superalgebra and let L be a finite-dimensional non-trivial irreducible g -module. Restricting the g -action on L to g0 ¯, we show that the space of g0 ¯-invariants Lg0 ¯ is trivial. As a consequence, we establish a conjecture first formulated by Gorelik, Grantcharov and Mazorchuk on the triviality of the supercharacter of irreducible g -modules in the case when the modules are finite dimensional.
Dobrev, V.K.
2013-01-01
In the present paper we continue the project of systematic construction of invariant differential operators for non-compact semisimple Lie groups. Our starting points is the class of algebras, which we call 'conformal Lie algebras' (CLA), which have very similar properties to the conformal algebras of Minkowski space-time, though our aim is to go beyond this class in a natural way. For this we introduce the new notion of {\\it parabolic relation} between two non-compact semisimple Lie algebras g and g' that have the same complexification and possess maximal parabolic subalgebras with the same complexification. Thus, we consider the exceptional algebra E_{7(7)} which is parabolically related to the CLA E_{7(-25)}, the parabolic subalgebras including E_{6(6)} and E_{6(-6)} . Other interesting examples are the orthogonal algebras so(p,q) all of which are parabolically related to the conformal algebra so(n,2) with p+q=n+2, the parabolic subalgebras including the Lorentz subalgebra so(n-1,1) and its analogs so(p-1,...
Chomology of Heisenberg Hom-Lie algebras
Nejib, Saadaoui
2017-01-01
In this paper, we define the Heisenberg Hom-Lie algebra. We determine the minimal dimension of faithful representation for Heisenberg Hom-Lie algebra.We study the adjoint representation, the trivial representation and the faithful representation of Heisenberg Hom-Lie algebra.
The First Honest Book about Lies.
Kincher, Jonni; Espeland, Pamela, Ed.
Readers learn how to discern the truth from lies through a series of activities, games, and experiments. This book invites young students to look at lies in a fair and balanced way. Different types of lies are examined and the purposes they serve and discussed. Problem solving activities are given. The book is organized in nine chapters,…
On split Lie triple systems II
Indian Academy of Sciences (India)
Lie triple system with a coherent 0-root space is the direct sum of the family of its minimal ideals, each one being a simple split Lie triple system, and the simplicity of T is characterized. In the present paper we extend these results to arbitrary split Lie triple systems with no restrictions on their 0-root spaces. Keywords.
Lie and Noether symmetries of systems of complex ordinary ...
Indian Academy of Sciences (India)
The Lie and Noether point symmetry analyses of a th-order system of complex ordinary differential equations (ODEs) with dependent variables are performed. ... Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan; Differential Equations, Continuum Mechanics and ...
Integrable systems on semidirect product Lie groups
Capriotti, S.; Montani, H.
2014-05-01
We study integrable systems on the semidirect product of a Lie group and its Lie algebra as the representation space of the adjoint action. Regarding the tangent bundle of a Lie group as phase space endowed with this semidirect product Lie group structure, we construct a class of symplectic submanifolds equipped with a Dirac bracket on which integrable systems (in the Adler-Kostant-Symes sense) are naturally built through collective dynamics. In doing so, we address other issues such as factorization, Poisson-Lie structures and dressing actions. We show that the procedure becomes recursive for some particular Hamilton functions, giving rise to a tower of nested integrable systems.
Differential Geometry and Lie Groups for Physicists
Fecko, Marián.
2011-03-01
Introduction; 1. The concept of a manifold; 2. Vector and tensor fields; 3. Mappings of tensors induced by mappings of manifolds; 4. Lie derivative; 5. Exterior algebra; 6. Differential calculus of forms; 7. Integral calculus of forms; 8. Particular cases and applications of Stoke's Theorem; 9. Poincaré Lemma and cohomologies; 10. Lie Groups - basic facts; 11. Differential geometry of Lie Groups; 12. Representations of Lie Groups and Lie Algebras; 13. Actions of Lie Groups and Lie Algebras on manifolds; 14. Hamiltonian mechanics and symplectic manifolds; 15. Parallel transport and linear connection on M; 16. Field theory and the language of forms; 17. Differential geometry on TM and T*M; 18. Hamiltonian and Lagrangian equations; 19. Linear connection and the frame bundle; 20. Connection on a principal G-bundle; 21. Gauge theories and connections; 22. Spinor fields and Dirac operator; Appendices; Bibliography; Index.
Learning to lie: effects of practice on the cognitive cost of lying.
Van Bockstaele, B; Verschuere, B; Moens, T; Suchotzki, Kristina; Debey, Evelyne; Spruyt, Adriaan
2012-01-01
Cognitive theories on deception posit that lying requires more cognitive resources than telling the truth. In line with this idea, it has been demonstrated that deceptive responses are typically associated with increased response times and higher error rates compared to truthful responses. Although the cognitive cost of lying has been assumed to be resistant to practice, it has recently been shown that people who are trained to lie can reduce this cost. In the present study (n = 42), we further explored the effects of practice on one's ability to lie by manipulating the proportions of lie and truth-trials in a Sheffield lie test across three phases: Baseline (50% lie, 50% truth), Training (frequent-lie group: 75% lie, 25% truth; control group: 50% lie, 50% truth; and frequent-truth group: 25% lie, 75% truth), and Test (50% lie, 50% truth). The results showed that lying became easier while participants were trained to lie more often and that lying became more difficult while participants were trained to tell the truth more often. Furthermore, these effects did carry over to the test phase, but only for the specific items that were used for the training manipulation. Hence, our study confirms that relatively little practice is enough to alter the cognitive cost of lying, although this effect does not persist over time for non-practiced items.
Watanabe, Atsushi; Shiga, Hiroshi; Kobayashi, Yoshinori
2011-10-01
To clarify the difference in the state of occlusal contact and masticatory function between two patterns of masticatory movement path that differed in the closing path. Fifteen healthy subjects with Pattern I (a linear or concave opening path and a convex closing path) and Pattern II (similar opening path to that in Pattern I and a concave closing path) were selected. The state of occlusal contact on the working and balancing sides and the masticatory function (integral value of the masseter muscular activity, gape, masticatory width, cycle time, indicators representing the stability of the path and rhythm, and glucose extraction) were compared between the two patterns. The occlusal contact on the working side was about the same. For the balancing side, occlusal contact at the molar region was observed for Pattern II in most cases, whereas no occlusal contact was observed for Pattern I. The integral value of the masseter muscular activity and the glucose extraction were greater for Pattern I. The gape was not different between the two patterns. Pattern I had a wide masticatory width and a short cycle time. The values of the indicators representing the stability of the path and rhythm were smaller for Pattern I. It was suggested that Pattern I with a convex closing path had a functional difference and a superior masticatory function from Pattern II with a concave closing path, and the difference in the occlusal contact on the balancing side was related. Copyright © 2011 Japan Prosthodontic Society. Published by Elsevier Ltd. All rights reserved.
Deceit and dishonesty as practice: the comfort of lying.
Carter, Melody
2016-07-01
Lying and deceit are instruments of power, used by social actors in the pursuit of their practices as they seek to maintain social order. All social actors, nurses included, have deceit and dishonesty within their repertoire of practice. Much of this is benign, well intentioned and a function of being sociable and necessary in the pursuit of social order in the healthcare environment. Lying and deceit from a sociological point of view, is a reflection of the different modes of domination that exist within a social space. French philosopher Pierre Bourdieu theorized about the way that symbolic power works within social space. The social structures and the agency of individual actors moving within it are interrelated and interdependent. Bourdieu's ideas will be used to theorize about real clinical experiences where acts of deceit can be identified and a case example will be presented. Nurses are actors in the social space of clinical care, and their world is complex, challenging, and often fraught with the contradictory demands and choices that reflect and influence their behaviours. An exploration of lying and deceit in nursing as an instrument in the modes of domination that persist enables us to challenge some of the assumptions that are made about the motives that cause or tempt nurses to lie as well as to understand the way on which they are sometimes lied to, according to the acts of domination that exist in the field. Lying or acting dishonestly is a powerful act that is intent on retaining stability and social order and could be seen to be a justification of lying and deceit. However, we need to pause and consider, in whose interests are we striving to create social order? Is it in the end about the comfort of patients or for the comfort of professionals? © 2016 John Wiley & Sons Ltd.
Quantum Lie theory a multilinear approach
Kharchenko, Vladislav
2015-01-01
This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.
Yangian of the Queer Lie Superalgebra
Nazarov, Maxim
Consider the complex matrix Lie superalgebra with the standard generators , where . Define an involutory automorphism η of by . The twisted polynomial current Lie superalgebra has a natural Lie co-superalgebra structure. We quantise the universal enveloping algebra as a co-Poisson Hopf superalgebra. For the quantised algebra we give a description of the centre, and construct the double in the sense of Drinfeld. We also construct a wide class of irreducible representations of the quantised algebra.
Compensation and Honesty: Gender Differences in Lying
Nieken, Petra; Dato, Simon
2016-01-01
We compare gender differences in lying under two incentive schemes that are widely used in companies: individual performance-pay and tournament incentives. While we do not observe significantly different behavior of males and females given individual performance-pay, females lie significantly less than males if the compensation scheme is switched to tournament incentives. This result is mainly driven by a decrease in the propensity to lie of females in a competitive environment. The gender ga...
Yao, Ruo-Xia; Lou, Sen-Yue
2008-06-01
Armed with the computer algebra system Maple, using a direct algebraic substitution method, we obtain Lie point symmetries, Lie symmetry groups and the corresponding symmetry reductions of one component nonlinear integrable and nonintegrable equations only by clicking the 'Enter' key. Abundant (1+1)-dimensional nonlinear mathematical physical systems are analysed effectively by using a Maple package LieSYMGRP proposed by us.
Computations in finite-dimensional Lie algebras
Directory of Open Access Journals (Sweden)
A. M. Cohen
1997-12-01
Full Text Available This paper describes progress made in context with the construction of a general library of Lie algebra algorithms, called ELIAS (Eindhoven Lie Algebra System, within the computer algebra package GAP. A first sketch of the package can be found in Cohen and de Graaf[1]. Since then, in a collaborative effort with G. Ivanyos, the authors have continued to develop algorithms which were implemented in ELIAS by the second author. These activities are part of a bigger project, called ACELA and financed by STW, the Dutch Technology Foundation, which aims at an interactive book on Lie algebras (cf. Cohen and Meertens [2]. This paper gives a global description of the main ways in which to present Lie algebras on a computer. We focus on the transition from a Lie algebra abstractly given by an array of structure constants to a Lie algebra presented as a subalgebra of the Lie algebra of n×n matrices. We describe an algorithm typical of the structure analysis of a finite-dimensional Lie algebra: finding a Levi subalgebra of a Lie algebra.
ALIED: A Theory of Lie Detection
Directory of Open Access Journals (Sweden)
Chris N. H. Street
2016-07-01
Full Text Available We are very inaccurate lie detectors, and tend to believe what others tell us is the truth more often than we ought to. In fact, studies on lie detection typically describe our tendency to believe others as an error in judgment. Although people may look like hopeless lie detectors, the Adaptive Lie Detector theory (ALIED claims that people are actually making smart, informed judgments. This article explores the ALIED theory and what it means for those wanting to spot a liar.
Lies and Deception: A Failed Reconciliation
DEFF Research Database (Denmark)
Broncano-Berrocal, Fernando
2013-01-01
The traditional view of lying says that lying is a matter of intending to deceive others by making statements that one believes to be false. Jennifer Lackey has recently defended the following version of the traditional view: A lies to B just in case (i) A states that p to B, (ii) A believes that...... is false and (iii) A intends to be deceptive to B in stating that p. I argue that, despite all the virtues that Lackey ascribes to her view, conditions (i), (ii) and (iii) are not sufficient for lying....
Dobrev, V. K.
2013-02-01
In the present paper we continue the project of systematic construction of invariant differential operators for non-compact semisimple Lie groups. Our starting points is the class of algebras, which we call 'conformal Lie algebras' (CLA), which have very similar properties to the conformal algebras of Minkowski space-time, though our aim is to go beyond this class in a natural way. For this we introduce the new notion of parabolic relation between two non-compact semisimple Lie algebras G and G ' that have the same complexification and possess maximal parabolic subalgebras with the same complexification. Thus, we consider the exceptional algebra E 7(7) which is parabolically related to the CLA E 7(-25) , the parabolic subalgebras including E 6(6) and E 6(-26). Other interesting examples are the orthogonal algebras so(p, q) all of which are parabolically related to the conformal algebra so( n, 2) with p + q = n + 2, the parabolic subalgebras including the Lorentz subalgebra so( n - 1, 1) and its analogs so( p - 1, q - 1). We consider also E6(6) and E6(2) which are parabolically related to the hermitian symmetric case E6(-14) , the parabolic subalgebras including real forms of sl(6). We also give a formula for the number of representations in the main multiplets valid for CLAs and all algebras that are parabolically related to them. In all considered cases we give the main multiplets of indecomposable elementary representations including the necessary data for all relevant invariant differential operators. In the case of so( p, q) we give also the reduced multiplets. We should stress that the multiplets are given in the most economic way in pairs of shadow fields. Furthermore we should stress that the classification of all invariant differential operators includes as special cases all possible conservation laws and conserved currents, unitary or not.
Effect of lie labelling on children's evaluation of selfish, polite, and altruistic lies.
Cheung, Him; Chan, Yawen; Tsui, Wan Chi Gigi
2016-09-01
This study investigates how 5- and 6-year-olds' evaluations of selfish, polite, and altruistic lies change as a result of whether these false statements are explicitly labelled as lies. We are also interested in how interpretive theory of mind may correlate with such evaluations with and without a lie label. Our results showed that labelling lowered children's evaluations for the polite and altruistic lies, but not for the selfish lies. Interpretive theory of mind correlated positively with the evaluation difference between the polite and altruistic lies and that between the selfish and altruistic lies in the label, but not in the non-label condition. Correlation between the selfish and altruistic lies and that between the polite and altruistic lies were stronger with than without labelling, after controlling for age, and verbal and non-verbal intelligence. We conclude that lie labelling biases children towards more negative evaluations for non-selfish lies and makes them see lies of different motives as more similar. If a lie label is applied, whether lies of different motives are still evaluated differently depends on interpretive theory of mind, which reflects the child's ability to represent and allow different interpretations of an ambiguous reality. © 2016 The British Psychological Society.
The roles of liar intention, lie content, and theory of mind in children's evaluation of lies.
Cheung, Him; Siu, Tik-Sze Carrey; Chen, Lan
2015-04-01
This study found that 7-, 9-, and 11-year-old children and young adults identified prosocial lies as lies less frequently and evaluated them less negatively than selfish lies (liar intention effect); lies about opinions were identified as lies less frequently and evaluated less negatively than those about reality (lie content effect). The lie content effect was more pronounced in the prosocial lies than in the selfish lies for both identification and evaluation. Overall, the older participants considered liar intention more than the younger participants in lie evaluation. For the child participants, second-order belief understanding correlated marginally with sensitivity to liar intention in the opinion lies, but not with content sensitivity. Finally, lie identification correlated with evaluation in the prosocial-opinion lies for all of the children. The independent effects of intention and content could potentially explain children's development in "white lie" understanding demonstrated in the literature. Although the content effect appears to stem from a more general concern for whether communication is about objective reality, the intention effect may involve theory of mind. Copyright © 2014 Elsevier Inc. All rights reserved.
Briazu, Raluca A; Walsh, Clare R; Deeprose, Catherine; Ganis, Giorgio
2017-04-01
This paper explores the proposal that there is a close link between counterfactual thinking and lying. Both require the imagination of alternatives to reality and we describe four studies which explore this link. In Study 1 we measured individual differences in both abilities and found that individuals with a tendency to generate counterfactual thoughts were also more likely to generate potential lies. Studies 2 and 3 showed that counterfactual availability influences people's ability to come up with lies and the extent to which they expect others to lie. Study 4 used a behavioural measure of deception to show that people tend to lie more in situations also known to elicit counterfactual thoughts. Overall, the results show that the imagination of alternatives to the past plays an important role in the generation of lies. We discuss the implications for the fields of counterfactual thinking and deception. Copyright © 2017 Elsevier B.V. All rights reserved.
A direct link between the Lie group SU (3) and the singular ...
Indian Academy of Sciences (India)
A classical phase space with a suitable symplectic structure is constructed together with functions which have Poisson brackets algebraically identical to the Lie algebra structure of the Lie group SU(3). It is shown that in this phase space there are two spheres which intersect at one point. Such a system has a representation ...
Devious Lies: Adventures in Freelance Science Outreach
Fatland, D. R.
2003-12-01
Observations are given from two freelance science outreach projects undertaken by the author: Tutoring at-risk secondary students and teaching astronomy to 5th-7th graders in a camp retreat environment. Two recurring thematic challenges in these experiences are considered: First the 'Misperception Problem', the institutionalized chasm between the process of doing science and K-12 science education (wherein science is often portrayed as something distant and inaccessible, while ironically children are necessarily excellent scientists). And second the 'Engagement Problem', engaging a student's attention and energy by matching teaching material and--more importantly--teaching techniques to the student's state of development. The objective of this work is twofold: To learn how to address these two challenges and to empower the students in a manner independent of the scientific content of any particular subject. An underlying hypothesis is that confidence to problem solve (a desirable life-skill) can be made more accessible through a combination of problem solving by the student and seeing how others have solved seemingly impossible problems. This hypothesis (or agenda) compels an emphasis on critical thinking and raises the dilemma of reconciling non-directed teaching with very pointed conclusions about the verity of pseudo-science and ideas prevalent about science in popular culture. An interesting pedagogical found-object in this regard is the useful 'devious lie' which can encourage a student to question the assumption that the teacher (and by extension any professed expert) has the right answers.
Cartan calculus on quantum Lie algebras
International Nuclear Information System (INIS)
Schupp, P.; Watts, P.; Zumino, B.
1993-01-01
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions au into one big algebra, the ''Cartan Calculus.''
Elementary construction of graded lie groups
International Nuclear Information System (INIS)
Scheunert, M.; Rittenberg, V.
1977-06-01
We show how the definitions of the classical Lie groups have to be modified in the case where Grassmann variables are present. In particular, we construct the general linear, the special linear and the orthosymplectic graded Lie groups. Special attention is paid to the question of how to formulate an adequate 'unitarity condition'. (orig.) [de
Testosterone Administration Reduces Lying in Men
Wibral, M.; Dohmen, T.J.; Klingmüller, Dietrich; Weber, Bernd; Falk, Armin
2012-01-01
Lying is a pervasive phenomenon with important social and economic implications. However, despite substantial interest in the prevalence and determinants of lying, little is known about its biological foundations. Here we study a potential hormonal influence, focusing on the steroid hormone
Longitudinal Evaluation of Foetal Transverse Lie using ...
African Journals Online (AJOL)
Erah
, lower segment fibroids in 2.7%, and ectopic kidney in 0.7%. In conclusion, transverse lie detected early in pregnancy is transient, and majority would convert to a longitudinal lie at term. Potential predisposing factors highlighted above ...
Classification and identification of Lie algebras
Snobl, Libor
2014-01-01
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more suitable basis in which all essential features of the Lie algebra are directly visible. This includes algorithms accomplishing decomposition into a direct sum, identification of the radical and the Levi decomposition, and the computation of the nilradical and of the Casimir invariants. Examples are given for each algorithm. For low-dimensional Lie algebras this makes it possible to identify the given Lie algebra completely. The authors provide a representative list of all Lie algebras of dimension less or equal to 6 together with their important properties, including their Casimir invariants. The list is ordered in a way to make identification easy, using only basis independent properties of the Lie algebras. They also describe certain cl...
Computations in finite-dimensional Lie algebras
Cohen, A.M.; Graaf, W.A. de; Rónyai, L.
1997-01-01
This paper describes progress made in context with the construction of a general library of Lie algebra algorithms, called ELIAS (Eindhoven Lie Algebra System), within the computer algebra package GAP. A first sketch of the packagecan be found in Cohen and de Graaf[1]. Since then, in a collaborative
The structure of complex Lie groups
Lee, Dong Hoon
2001-01-01
Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced via an almost complex structure on a real Lie group. It then moves to the theory of representative functions of Lie groups- used as a primary tool in subsequent chapters-and discusses the extension problem of representations that is essential for studying the structure of complex Lie groups. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups.The differences between complex algebraic groups and complex Lie groups are sometimes subtle ...
Some evidence for unconscious lie detection.
Ten Brinke, Leanne; Stimson, Dayna; Carney, Dana R
2014-05-01
To maximize survival and reproductive success, primates evolved the tendency to tell lies and the ability to accurately detect them. Despite the obvious advantage of detecting lies accurately, conscious judgments of veracity are only slightly more accurate than chance. However, findings in forensic psychology, neuroscience, and primatology suggest that lies can be accurately detected when less-conscious mental processes (as opposed to more-conscious mental processes) are used. We predicted that observing someone tell a lie would automatically activate cognitive concepts associated with deception, and observing someone tell the truth would activate concepts associated with truth. In two experiments, we demonstrated that indirect measures of deception detection are significantly more accurate than direct measures. These findings provide a new lens through which to reconsider old questions and approach new investigations of human lie detection.
Continuum analogues of contragredient Lie algebras
International Nuclear Information System (INIS)
Saveliev, M.V.; Vershik, A.M.
1989-03-01
We present an axiomatic formulation of a new class of infinite-dimensional Lie algebras - the generalizations of Z-graded Lie algebras with, generally speaking, an infinite-dimensional Cartan subalgebra and a contiguous set of roots. We call such algebras ''continuum Lie algebras''. The simple Lie algebras of constant growth are encapsulated in our formulation. We pay particular attention to the case when the local algebra is parametrized by a commutative algebra while the Cartan operator (the generalization of the Cartan matrix) is a linear operator. Special examples of these algebras are the Kac-Moody algebras, algebras of Poisson brackets, algebras of vector fields on a manifold, current algebras, and algebras with differential or integro-differential Cartan operator. The nonlinear dynamical systems associated with the continuum contragredient Lie algebras are also considered. (author). 9 refs
Solutions and laws of conservation for coupled nonlinear Schrödinger equations: Lie group analysis
Pulov, V. I.; Uzunov, I. M.; Chacarov, E. J.
1998-03-01
A set of two coupled nonlinear Schrödinger equations is systematically analyzed by means of Lie group technique. The physical situations under consideration include nonlinear propagation in strongly birefringent and multimode optical fibers. The most general Lie group of point symmetries, its Lie algebra, and a group of adjoint representations that correspond to the Lie algebra are identified. As a result, a complete list of group-invariant exact solutions is obtained and compared with earlier results. The corresponding laws of conservation are derived employing Noether's theorem.
Orthogonal polynomials of compact simple Lie groups: branching rules for polynomials
International Nuclear Information System (INIS)
Nesterenko, M; Patera, J; Szajewska, M; Tereszkiewicz, A
2010-01-01
Polynomials in this paper are defined starting from a compact semisimple Lie group. A known classification of maximal, semisimple subgroups of simple Lie groups is used to select the cases to be considered here. A general method is presented and all the cases of rank ≤3 are explicitly studied. We derive the polynomials of simple Lie groups B 3 and C 3 as they are not available elsewhere. The results point to far reaching Lie theoretical connections to the theory of multivariable orthogonal polynomials.
Bidirectional composition on lie groups for gradient-based image alignment.
Mégret, Rémi; Authesserre, Jean-Baptiste; Berthoumieu, Yannick
2010-09-01
In this paper, a new formulation based on bidirectional composition on Lie groups (BCL) for parametric gradient-based image alignment is presented. Contrary to the conventional approaches, the BCL method takes advantage of the gradients of both template and current image without combining them a priori. Based on this bidirectional formulation, two methods are proposed and their relationship with state-of-the-art gradient based approaches is fully discussed. The first one, i.e., the BCL method, relies on the compositional framework to provide the minimization of the compensated error with respect to an augmented parameter vector. The second one, the projected BCL (PBCL), corresponds to a close approximation of the BCL approach. A comparative study is carried out dealing with computational complexity, convergence rate and frequence of convergence. Numerical experiments using a conventional benchmark show the performance improvement especially for asymmetric levels of noise, which is also discussed from a theoretical point of view.
Characteristics of the Eysenck Personality Questionnaire Lie Scale and of Extreme Lie Scorers.
Loo, Robert
1980-01-01
Results of statistical analyses suggest that high lie-scorers respond honestly, and that the Lie Scale for the Eysenck Personality Inventory may reflect a personality dimension of interest rather than an extraneous and undesirable factor to be eliminated. (Author)
DEFF Research Database (Denmark)
Agarwal, Pankaj K.; Arge, Lars Allan; Erickson, Jeff
2003-01-01
We propose three indexing schemes for storing a set S of N points in the plane, each moving along a linear trajectory, so that any query of the following form can be answered quickly: Given a rectangle R and a real value t, report all K points of S that lie inside R at time t. We first present an...
Renormalization group flows and continual Lie algebras
International Nuclear Information System (INIS)
Bakas, Ioannis
2003-01-01
We study the renormalization group flows of two-dimensional metrics in sigma models using the one-loop beta functions, and demonstrate that they provide a continual analogue of the Toda field equations in conformally flat coordinates. In this algebraic setting, the logarithm of the world-sheet length scale, t, is interpreted as Dynkin parameter on the root system of a novel continual Lie algebra, denoted by (d/dt;1), with anti-symmetric Cartan kernel K(t,t') = δ'(t-t'); as such, it coincides with the Cartan matrix of the superalgebra sl(N vertical bar N+1) in the large-N limit. The resulting Toda field equation is a non-linear generalization of the heat equation, which is integrable in target space and shares the same dissipative properties in time, t. We provide the general solution of the renormalization group flows in terms of free fields, via Baecklund transformations, and present some simple examples that illustrate the validity of their formal power series expansion in terms of algebraic data. We study in detail the sausage model that arises as geometric deformation of the O(3) sigma model, and give a new interpretation to its ultra-violet limit by gluing together two copies of Witten's two-dimensional black hole in the asymptotic region. We also provide some new solutions that describe the renormalization group flow of negatively curved spaces in different patches, which look like a cane in the infra-red region. Finally, we revisit the transition of a flat cone C/Z n to the plane, as another special solution, and note that tachyon condensation in closed string theory exhibits a hidden relation to the infinite dimensional algebra (d/dt;1) in the regime of gravity. Its exponential growth holds the key for the construction of conserved currents and their systematic interpretation in string theory, but they still remain unknown. (author)
Lagrangian submanifolds and dynamics on Lie algebroids
International Nuclear Information System (INIS)
Leon, Manuel de; Marrero, Juan C; MartInez, Eduardo
2005-01-01
In some previous papers, a geometric description of Lagrangian mechanics on Lie algebroids has been developed. In this topical review, we give a Hamiltonian description of mechanics on Lie algebroids. In addition, we introduce the notion of a Lagrangian submanifold of a symplectic Lie algebroid and we prove that the Lagrangian (Hamiltonian) dynamics on Lie algebroids may be described in terms of Lagrangian submanifolds of symplectic Lie algebroids. The Lagrangian (Hamiltonian) formalism on Lie algebroids permits us to deal with Lagrangian (Hamiltonian) functions not defined necessarily on tangent (cotangent) bundles. Thus, we may apply our results to the projection of Lagrangian (Hamiltonian) functions which are invariant under the action of a symmetry Lie group. As a consequence, we obtain that Lagrange-Poincare (Hamilton-Poincare) equations are the Euler-Lagrange (Hamilton) equations associated with the corresponding Atiyah algebroid. Moreover, we prove that Lagrange-Poincare (Hamilton-Poincare) equations are the local equations defining certain Lagrangian submanifolds of symplectic Atiyah algebroids. (topical review)
Classical mechanics on noncommutative space with Lie-algebraic structure
International Nuclear Information System (INIS)
Miao Yangang; Wang Xudong; Yu Shaojie
2011-01-01
Highlights: → Suggest a useful method to look for new Lie-algebraic noncommutative spaces. → Find out two new Lie-algebraic noncommutative spaces. → Derive Newton and Hamilton equations that present unimaginable extra forces. → Analyse the source of unimaginable extra forces from space noncummutativity. → Provide various intriguing classical trajectories. - Abstract: We investigate the kinetics of a nonrelativistic particle interacting with a constant external force on a Lie-algebraic noncommutative space. The structure constants of a Lie algebra, also called noncommutative parameters, are constrained in general due to some algebraic properties, such as the antisymmetry and Jacobi identity. Through solving the constraint equations the structure constants satisfy, we obtain two new sorts of algebraic structures, each of which corresponds to one type of noncommutative spaces. Based on such types of noncommutative spaces as the starting point, we analyze the classical motion of the particle interacting with a constant external force by means of the Hamiltonian formalism on a Poisson manifold. Our results not only include that of a recent work as our special cases, but also provide new trajectories of motion governed mainly by marvelous extra forces. The extra forces with the unimaginable tx-dot-,(xx-dot)-, and (xx-double dot)-dependence besides with the usual t-, x-, and x-dot-dependence, originating from a variety of noncommutativity between different spatial coordinates and between spatial coordinates and momenta as well, deform greatly the particle's ordinary trajectories we are quite familiar with on the Euclidean (commutative) space.
Computing faithful representations for nilpotent Lie algebras
Burde, Dietrich; Eick, Bettina; de Graaf, Willem
2008-01-01
We describe three methods to determine a faithful representation of small dimension for a finite-dimensional nilpotent Lie algebra over an arbitrary field. We apply our methods in finding bounds for the smallest dimension $\\mu(\\Lg)$ of a faithful $\\Lg$-module for some nilpotent Lie algebras $\\Lg$. In particular, we describe an infinite family of filiform nilpotent Lie algebras $\\Lf_n$ of dimension $n$ over $\\Q$ and conjecture that $\\mu(\\Lf_n) > n+1$. Experiments with our algorithms suggest th...
Knot wormholes and the dimensional invariant of exceptional Lie groups and Stein space hierarchies
International Nuclear Information System (INIS)
Elokaby, Ayman
2009-01-01
The present short note points out a most interesting and quite unexpected connection between the number of distinct knot as a function of their crossing number and exceptional Lie groups and Stein space hierarchies. It is found that the crossing number 7 plays the role of threshold similar to 4 and 5 in E-infinity theory and for the 11 crossing the number of distinct knots is very close to 4α-bar 0 +1=548+1=549, where α-bar 0 =137 is the inverse integer electromagnetic fine structure constant. This is particularly intriguing in view of a similar relation pertinent to the 17 two and three Stein spaces where the total dimension is Σ 1 17 Stein=5α-bar 0 +1=685+1=686, as well as the sum of the eight exceptional Lie symmetry groups Σ i=1 8 |E i |=4α-bar 0 =548. The slight discrepancy of one is explained in both cases by the inclusion of El Naschie's transfinite corrections leading to Σ i=1 8 |E i |=(4)(137+k 0 )=548.328157 and Σ i=1 17 Stein=(5)(137+k 0 )=685.41097, where k o = φ 5 (1 - φ 5 ) and φ=(√(5)-1)/2.
When is a lie acceptable? Work and private life lying acceptance depends on its beneficiary.
Cantarero, Katarzyna; Szarota, Piotr; Stamkou, Eftychia; Navas, Marisol; Dominguez Espinosa, Alejandra Del Carmen
2018-01-01
In this article we show that when analyzing attitude towards lying in a cross-cultural setting, both the beneficiary of the lie (self vs other) and the context (private life vs. professional domain) should be considered. In a study conducted in Estonia, Ireland, Mexico, The Netherlands, Poland, Spain, and Sweden (N = 1345), in which participants evaluated stories presenting various types of lies, we found usefulness of relying on the dimensions. Results showed that in the joint sample the most acceptable were other-oriented lies concerning private life, then other-oriented lies in the professional domain, followed by egoistic lies in the professional domain; and the least acceptance was shown for egoistic lies regarding one's private life. We found a negative correlation between acceptance of a behavior and the evaluation of its deceitfulness.
Lie-superalgebraical aspects of quantum statistics
International Nuclear Information System (INIS)
Palev, T.D.
1978-01-01
The Lie-superalgebraical properties of the ordinary quantum statistics are discussed with the aim of possible generalization in quantum theory and in theoretical physics. It is indicated that the algebra generated by n pairs of Fermi or paraFermi operators is isomorphic to the classical simple Lie algebra Bsub(n) of the SO(2n+1) orthogonal group, whereas n pairs of Bose or paraBose operators generate the simple orthosympletic superalgebra B(O,n). The transition to infinite number of creation and annihilation operators (n → infinity) does not change a superalgebraic structure. Hence, ordinary Bose and Fermi quantization can be considered as quantization over definite irreducible representations of two simple Lie superalgebras. The idea is given of how one can introduce creation and annihilation operators that satisfy the second quantization postulates and generate other simple Lie superalgebras
Lying Posture Classification for Pressure Ulcer Prevention
Wai, Aung Phyo; Foo, Siang Fook; Huang, Weimin; Biswas, Jit; Hsia, Chi-Chun; Liou, Koujuch; Yap, Philip
2010-01-01
Pressure ulcers are a common problem among patients with limited mobility, such as those bed-bound and wheelchair-bound. Constant and prolonged applied pressure is one of the extrinsic factors contributing to the development of pressure ulcers. Analyzing lying postures together with interface pressure measurements from a pressure sensitive bed helps revealing pressure hot spots that can potentially lead to pressure ulcer development. We propose an intelligent system that features lying postur...
Post-Lie algebras and factorization theorems
Ebrahimi-Fard, Kurusch; Mencattini, Igor; Munthe-Kaas, Hans
2017-09-01
In this note we further explore the properties of universal enveloping algebras associated to a post-Lie algebra. Emphasizing the role of the Magnus expansion, we analyze the properties of group like-elements belonging to (suitable completions of) those Hopf algebras. Of particular interest is the case of post-Lie algebras defined in terms of solutions of modified classical Yang-Baxter equations. In this setting we will study factorization properties of the aforementioned group-like elements.
New examples of continuum graded Lie algebras
International Nuclear Information System (INIS)
Savel'ev, M.V.
1989-01-01
Several new examples of continuum graded Lie algebras which provide an additional elucidation of these algebras are given. Here, in particular, the Kac-Moody algebras, the algebra S 0 Diff T 2 of infinitesimal area-preserving diffeomorphisms of the torus T 2 , the Fairlie, Fletcher and Zachos sine-algebras, etc., are described as special cases of the cross product Lie algebras. 8 refs
On Casimir elements of simple Lie algebras
International Nuclear Information System (INIS)
El Houari, M.
1996-08-01
In this letter, we recall briefly the generalized Casimir elements of a finite dimensional Lie algebra. We specify those of orders two and three: when the Lie algebra is simple (even semisimple), we begin by normalizing the former (the quadratic), and then we study some actions of the latter (the cubic). In particular, we introduce a graphical formalism, translating rigorously the tensorial calculus. This allows us to prove the main theorem in a graphic theoretic manner. (author). 11 refs, 1 tab
International Nuclear Information System (INIS)
1977-08-01
The proposed action is the issuance of an amendment to the Facility Operating License No. DPR-64 for Indian Point Unit No. 3, located in the State of New York, Westchester County, Village of Buchanan, 24 miles north of the New York City boundary line. This facility is owned by the Power Authority of the State of New York and operated by the Consolidated Edison Company of New York, Inc. There will be drift (0.002%) deposited in small amounts over a substantial area, resulting in increased salt concentrations. There is a small possibility that injury may occur occasionally to certain species of plants. There may be a small increase (a matter of hours per year) in the amount of fogging and icing in the area, which are considered negligible. During construction, noise levels and traffic will be increased; however, these are temporary conditions. A monetary direct cost of approximately $245 million (present value) will be incurred by the licensee and the average annual plant capacity will be reduced by 33.5 MWe (4% of the total) while peak generating capability will be reduced by 77.5 MWe (9% of the total). Water taken from the river for cooling purposes will be reduced to approximately one-tenth that taken for once-through cooling of Unit No. 3. This will reduce impingement and entrapment of aquatic species by a similar amount and, thus, aid in the maintenance of biotic populations. The increased tax base will provide additional monies to various communities. 120 refs., 90 figs., 55 tabs
Normalization in Lie algebras via mould calculus and applications
Paul, Thierry; Sauzin, David
2017-11-01
We establish Écalle's mould calculus in an abstract Lie-theoretic setting and use it to solve a normalization problem, which covers several formal normal form problems in the theory of dynamical systems. The mould formalism allows us to reduce the Lie-theoretic problem to a mould equation, the solutions of which are remarkably explicit and can be fully described by means of a gauge transformation group. The dynamical applications include the construction of Poincaré-Dulac formal normal forms for a vector field around an equilibrium point, a formal infinite-order multiphase averaging procedure for vector fields with fast angular variables (Hamiltonian or not), or the construction of Birkhoff normal forms both in classical and quantum situations. As a by-product we obtain, in the case of harmonic oscillators, the convergence of the quantum Birkhoff form to the classical one, without any Diophantine hypothesis on the frequencies of the unperturbed Hamiltonians.
Generalized quantum statistics and Lie (super)algebras
Energy Technology Data Exchange (ETDEWEB)
Stoilova, N. I. [Institute for Nuclear Research and Nuclear Energy, Bould. Tsarigradsko Chaussee 72, 1784 Sofia (Bulgaria)
2016-03-25
Generalized quantum statistics, such as paraboson and parafermion statistics, are characterized by triple relations which are related to Lie (super)algebras of type B. The correspondence of the Fock spaces of parabosons, parafermions as well as the Fock space of a system of parafermions and parabosons to irreducible representations of (super)algebras of type B will be pointed out. Example of generalized quantum statistics connected to the basic classical Lie superalgebra B(1|1) ≡ osp(3|2) with interesting physical properties, such as noncommutative coordinates, will be given. Therefore the article focuses on the question, addressed already in 1950 by Wigner: do the equation of motion determine the quantum mechanical commutation relation?.
Directory of Open Access Journals (Sweden)
D. H. Nickeler
2012-06-01
Full Text Available The appearance of eruptive space plasma processes, e.g. in eruptive flares as observed in the solar atmosphere, is usually assumed to be caused by magnetic reconnection, often connected with singular points of the magnetic field. We are interested in the general relation between the eigenvalues of the Jacobians of the plasma velocity and the magnetic field and their relation to the shape of a spatially varying, localized non-idealness or resistivity, i.e. we are searching for the general solution. We perform a local analysis of almost all regular, generic, structurally stable non-ideal or resistive MHD solutions. Therefore we use Taylor expansions of the magnetic field, the velocity field and all other physical quantities, including the non-idealness, and with the method of comparison of coefficients, the non-linear resistive MHD system is solved analytically, locally in a close vicinity of the null point. We get a parameterised general solution that provides us with the topological and geometrical skeleton of the resistive MHD fields. These local solutions provide us with the "roots" of field and streamlines around the null points of basically all possible 2-D reconnection solutions. We prove mathematically that necessarily, the flow close to the magnetic X-point must also be of X-point type to guarantee positive dissipation of energy and annihilation of magnetic flux. We also prove that, if the non-idealness has only a one-dimensional, sheet-like structure, only one separatrix line can be crossed by the plasma flow, similar to known reconnective annihilation solutions.
Energy Technology Data Exchange (ETDEWEB)
Sati, Hisham [University of Pittsburgh,Pittsburgh, PA, 15260 (United States); Mathematics Program, Division of Science and Mathematics, New York University Abu Dhabi,Saadiyat Island, Abu Dhabi (United Arab Emirates); Schreiber, Urs [Mathematics Institute of the Academy,Žitna 25, Praha 1, 115 67 (Czech Republic)
2017-03-16
We uncover higher algebraic structures on Noether currents and BPS charges. It is known that equivalence classes of conserved currents form a Lie algebra. We show that at least for target space symmetries of higher parameterized WZW-type sigma-models this naturally lifts to a Lie (p+1)-algebra structure on the Noether currents themselves. Applied to the Green-Schwarz-type action functionals for super p-brane sigma-models this yields super Lie (p+1)-algebra refinements of the traditional BPS brane charge extensions of supersymmetry algebras. We discuss this in the generality of higher differential geometry, where it applies also to branes with (higher) gauge fields on their worldvolume. Applied to the M5-brane sigma-model we recover and properly globalize the M-theory super Lie algebra extension of 11-dimensional superisometries by 2-brane and 5-brane charges. Passing beyond the infinitesimal Lie theory we find cohomological corrections to these charges in higher analogy to the familiar corrections for D-brane charges as they are lifted from ordinary cohomology to twisted K-theory. This supports the proposal that M-brane charges live in a twisted cohomology theory.
Lying Posture Classification for Pressure Ulcer Prevention
Directory of Open Access Journals (Sweden)
Aung Phyo Wai
2010-01-01
Full Text Available Pressure ulcers are a common problem among patients with limited mobility, such as those bed-bound and wheelchair-bound. Constant and prolonged applied pressure is one of the extrinsic factors contributing to the development of pressure ulcers. Analyzing lying postures together with interface pressure measurements from a pressure sensitive bed helps revealing pressure hot spots that can potentially lead to pressure ulcer development. We propose an intelligent system that features lying posture classification with pressure hot spots identification based on interface pressure measurements to possibly identify potential pressure ulcer risk and to provide effective preventive measures. Experimental outcomes correctly classify different lying postures with an accuracy of up to 93%. The proposed system is expected to assist caregivers to detect risk evidence and to provide timely and appropriate interventions for effective pressure ulcer prevention.
Casimir elements of epsilon Lie algebras
International Nuclear Information System (INIS)
Scheunert, M.
1982-10-01
The classical framework for investigating the Casimir elements of a Lie algebra is generalized to the case of an epsilon Lie algebra L. We construct the standard L-module isomorphism of the epsilon-symmetric algebra of L onto its enveloping algebra and we introduce the Harish-Chandra homomorphism. In case the generators of L can be written in a canonical two-index form, we construct the associated standard sequence of Casimir elements and derive a formula for their eigenvalues in an arbitrary highest weight module. (orig.)
Lying in Business : Insights from Hannah Arendt’s ‘Lying in Politics’
Eenkhoorn, P.; Graafland, J.J.
2010-01-01
The famous political philosopher Hannah Arendt develops several arguments why truthfulness cannot be counted among the political virtues. This article shows that similar arguments apply to lying in business. Based on Hannah Arendt’s theory, we distinguish five reasons why lying is a structural
Lie, truth, lie: the role of task switching in a deception context.
Debey, Evelyne; Liefooghe, Baptist; De Houwer, Jan; Verschuere, Bruno
2015-05-01
A cornerstone of the task switching literature is the finding that task performance is typically slower and more error-prone when the task switches than when it repeats. So far, deception research has largely ignored that such cognitive switch costs should also emerge when switching between truth telling and lying, and may affect the cognitive cost of lying as reflected in higher prefrontal brain activity and slower and less accurate responding compared to truth telling. To get a grasp on the relative size of the switch costs associated with lying and truth telling, the current study had participants perform a reaction time-based deception task, in which they alternated between lying and telling the truth to yes/no questions that were related to activities performed in the lab (Experiment 1) or neutral autobiographical facts (Experiment 2). In both experiments, the error and reaction time switch costs were found to be equally large for switching from truth telling to lying and from lying to truth telling. This symmetry in switch costs can be explained from the hypothesis that lying requires a first step of truth telling, and demonstrates that task switching does not contribute to the cognitive cost of lying when the repetition/switch ratio is balanced. Theoretical and methodological implications are considered.
Why Do Lie-Catchers Fail? A Lens Model Meta-Analysis of Human Lie Judgments
Hartwig, Maria; Bond, Charles F., Jr.
2011-01-01
Decades of research has shown that people are poor at detecting lies. Two explanations for this finding have been proposed. First, it has been suggested that lie detection is inaccurate because people rely on invalid cues when judging deception. Second, it has been suggested that lack of valid cues to deception limits accuracy. A series of 4…
On Spaces of Commuting Elements in Lie Groups
2014-02-25
Yang - Mills theory. Further work was done by V. Kac and A. Smilga [23]. Work of A. Borel, R. Friedman and J. Morgan [11] addressed the special cases of...points of the Weyl group W acting naturally on H∗(G/T )⊗ T∗[V ], where T∗[V ] denotes the dual of the tensor algebra T[V ] generated by the 4 FREDERICK R...cohomology, the R- dual of ∧k1Rn ⊗ · · · ⊗ ∧kmRn lies in homological degree j = k1 + · · ·+ km of T∗[Ẽ] as well as tensor degree m > 0. The special case with
Fractional superLie algebras and groups
Energy Technology Data Exchange (ETDEWEB)
Ahmedov, H. [Feza Gursey Institute, Cengelkoy, Istanbul (Turkey)]. E-mail: hagi@gursey.gov.tr; Yildiz, A. [ Feza Gursey Institute, Cengelkoy, Istanbul (Turkey); Ucan, Y. [Yildiz Technical University, Department of Mathematics, Besiktas, Istanbul (Turkey)
2001-08-24
The nth root of a Lie algebra and its dual (that is the fractional supergroup) based on the permutation group S{sub n} invariant forms is formulated in the Hopf algebra formalism. Detailed discussion of S{sub 3}-graded sl(2) algebras is performed. (author)
Lie algebras and linear differential equations.
Brockett, R. W.; Rahimi, A.
1972-01-01
Certain symmetry properties possessed by the solutions of linear differential equations are examined. For this purpose, some basic ideas from the theory of finite dimensional linear systems are used together with the work of Wei and Norman on the use of Lie algebraic methods in differential equation theory.
Higher-Dimensional Automorphic Lie Algebras
Knibbeler, Vincent; Lombardo, Sara; Sanders, Jan A.
2017-01-01
The paper presents the complete classification of Automorphic Lie Algebras based on (Formula presented.), where the symmetry group G is finite and acts on (Formula presented.) by inner automorphisms, (Formula presented.) has no trivial summands, and where the poles are in any of the exceptional
Multiplication: From Thales to Lie1
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 17; Issue 5. Multiplication: From Thales to Lie. Pradipkumar H Keskar. General Article Volume 17 Issue 5 May 2012 pp 476-486. Fulltext. Click here to view fulltext PDF. Permanent link: http://www.ias.ac.in/article/fulltext/reso/017/05/0476-0486. Keywords.
Analytic factorization of Lie group representations
DEFF Research Database (Denmark)
Gimperlein, Heiko; Krötz, Bernhard; Lienau, Christoph
2012-01-01
For every moderate growth representation (p,E)(p,E) of a real Lie group G on a Fréchet space, we prove a factorization theorem of Dixmier–Malliavin type for the space of analytic vectors E¿E¿. There exists a natural algebra of superexponentially decreasing analytic functions A(G)A(G), such that E...
Application of Lie transform perturbation method for ...
Indian Academy of Sciences (India)
Abstract. Three-dimensional non-Hermitian systems are investigated using classical perturba- tion theory based on Lie transformations. Analytic expressions for total energy in terms of action variables are derived. Both real and complex semiclassical eigenvalues are obtained by quantiz- ing the action variables.
Application of Lie transform perturbation method for ...
Indian Academy of Sciences (India)
Three-dimensional non-Hermitian systems are investigated using classical perturbation theory based on Lie transformations. Analytic expressions for total energy in terms of action variables are derived. Both real and complex semiclassical eigenvalues are obtained by quantizing the action variables. It was found that ...
ASSOCIATIVE RINGS SOLVED AS LIE RINGS
Directory of Open Access Journals (Sweden)
M. B. Smirnov
2011-01-01
Full Text Available The paper has proved that an associative ring which is solvable of a n- class as a Lie ring has a nilpotent ideal of the nilpotent class not more than 3×10n–2 and a corresponding quotient ring satisfies an identity [[x1, x2, [x3, x4
Associative and Lie deformations of Poisson algebras
Remm, Elisabeth
2011-01-01
Considering a Poisson algebra as a non associative algebra satisfying the Markl-Remm identity, we study deformations of Poisson algebras as deformations of this non associative algebra. This gives a natural interpretation of deformations which preserves the underlying associative structure and we study deformations which preserve the underlying Lie algebra.
Multiplication: From Thales to Lie1
Indian Academy of Sciences (India)
of Technology and. Science, Pilani. His research interests are algebraic geometry, and. Galois theory. Keywords. Ruler constructions, addition, multiplication, unslanting, infinite- simals, Lie algebra, exponential map. The ancient Greek mathematician Thales of Mile- tus devised a method to make large measure- ments like ...
Motivation and Consequences of Lying. A Qualitative Analysis of Everyday Lying
Directory of Open Access Journals (Sweden)
Beata Arcimowicz
2015-09-01
Full Text Available This article presents findings of qualitative analysis of semi-structured interviews with a group of "frequent liars" and another of "rare liars" who provided their subjective perspectives on the phenomenon of lying. Participants in this study previously had maintained a diary of their social interactions and lies over the course of one week, which allowed to assign them to one of the two groups: frequent or rare liars. Thematic analysis of the material followed by elements of theory formulation resulted in an extended lying typology that includes not only the target of the lie (the liar vs. other but also the motivation (protection vs. bringing benefits. We offer an analysis of what prevents from telling the truth, i.e. penalties, relationship losses, distress of the lied-to, and anticipated lack of criticism for telling the truth. We also focus on understanding moderatorsof consequences of lying (significance of the area of life, the type of lie and capacity to understand the liar that can be useful in future studies. URN: http://nbn-resolving.de/urn:nbn:de:0114-fqs1503318
Integrable systems and lie symmetries in classical mechanics
International Nuclear Information System (INIS)
Sen, T.
1986-01-01
The interrelationship between integrability and symmetries in classical mechanics is studied. Two-dimensional time- and velocity-independent potentials form the domain of the study. It is shown that, contrary to folklore, existence of a single finite symmetry does not ensure integrability. A method due to Darboux is used to construct potentials that admit a time-independent invariant. All potentials admitting invariants linear or quadratic in the momentum coordinates are constructed. These are the only integrable potentials which can be expressed as arbitrary functions of certain arguments. A complete construction of potentials admitting higher-order invariants does not seem possible. However, the necessary general forms for potentials that admit a particular invariant of arbitrary order are found. These invariants must be spherically symmetric in the leading terms. Two kinds of symmetries are studied: point Lie symmetries of the Newtonian equations of motion for conservative potentials, and point Noether symmetries of the action functionals obtained from the standard Lagrangians associated with these potentials. All conservative potentials which admit these symmetries are constructed. The class of potentials admitting Noether symmetries is shown to be a subclass of those admitting Lie symmetries
Dimension of the c-nilpotent multiplier of Lie algebras
Indian Academy of Sciences (India)
By a Lie algebra we mean a vector space over a field F with the Lie bracket [ , ]. The finite dimensional Lie algebra analogous to the Schur multiplier was developed in. [4, 5] and has been studied by various authors [7, 8, 14]. Let L be a finite dimensional. Lie algebra, its Schur multiplier, M(L), can be defined as a second ...
Legitimate lies : The relationship between omission, commission, and cheating
Pittarello, Andrea; Rubaltelli, Enrico; Motro, Daphna
Across four experiments, we show that when people can serve their self-interest, they are more likely to refrain from reporting the truth ( lie of omission) than actively lie ( lie of commission). We developed a novel online "Heads or Tails" task in which participants can lie to win a monetary
Preschoolers' Understanding of Lies and Innocent and Negligent Mistakes.
Siegal, Michael; Peterson, Candida C.
1998-01-01
Examined preschoolers' ability to distinguish innocent and negligent mistakes from lies. Found that, when asked to identify a mistake or lie about a food's contact with contaminants and identify a bystander's reaction, children distinguished mistakes from lies; they could also discriminate between lies and both negligent mistakes that generate…
A survey on stability and rigidity results for Lie algebras
Crainic, Marius; Schätz, Florian; Struchiner, Ivan
2014-01-01
We give simple and unified proofs of the known stability and rigidity results for Lie algebras, Lie subalgebras and Lie algebra homomorphisms. Moreover, we investigate when a Lie algebra homomorphism is stable under all automorphisms of the codomain (including outer automorphisms).
Lie algebra contractions for overlap functions
International Nuclear Information System (INIS)
Izmest'ev, A.A.; Pogosyan, G.S.; Sisakyan, A.N.; Winternitz, P.
1999-01-01
Lie algebra contractions from o(n + 1) to e(n) are used to obtain asymptotic limits of interbases expansions between bases corresponding to different subgroup chains for the group O(n + 1). The contractions lead to interbases expansions for different subgroup chains of the Euclidean group E(n). The article is restricted to the low dimensional cases n = 2 and n = 3
Simple Lie algebras and Dynkin diagrams
International Nuclear Information System (INIS)
Buccella, F.
1983-01-01
The following theorem is studied: in a simple Lie algebra of rank p there are p positive roots such that all the other n-3p/2 positive roots are linear combinations of them with integer non negative coefficients. Dykin diagrams are built by representing the simple roots with circles and drawing a junction between the roots. Five exceptional algebras are studied, focusing on triple junction algebra, angular momentum algebra, weights of the representation, antisymmetric tensors, and subalgebras
On split Lie triple systems II
Indian Academy of Sciences (India)
the proof is complete. Acknowledgements. The first author was supported by the PCI of the UCA 'Teorıa de Lie y Teorıa de Espacios de Banach', by the PAI with project numbers FQM-298, FQM-3737, FQM-2467, by the project of the Spanish Ministerio de Educación y Ciencia MTM2004-06580-C02-02 and with fondos ...
On split Lie triple systems II
Indian Academy of Sciences (India)
In the present paper we extend these results to arbitrary split Lie triple systems with no restrictions on their 0-root spaces. Author Affiliations. Antonio J Calderón Martín1 M Forero Piulestán1. Departamento de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Cádiz, Spain. Dates. Manuscript received: 24 June 2009 ...
Internally connected graphs and the Kashiwara-Vergne Lie algebra
Felder, Matteo
2018-02-01
It is conjectured that the Kashiwara-Vergne Lie algebra \\widehat{krv}_2 is isomorphic to the direct sum of the Grothendieck-Teichmüller Lie algebra grt_1 and a one-dimensional Lie algebra. In this paper, we use the graph complex of internally connected graphs to define a nested sequence of Lie subalgebras of \\widehat{krv}_2 whose intersection is grt_1 , thus giving a way to interpolate between these two Lie algebras.
Directory of Open Access Journals (Sweden)
W. Sinkala
2012-01-01
Full Text Available We use Lie symmetry analysis to solve a boundary value problem that arises in chemical engineering, namely, mass transfer during the contact of a solid slab with an overhead flowing fluid. This problem was earlier tackled using Adomian decomposition method (Fatoorehchi and Abolghasemi 2011, leading to the Adomian series form of solution. It turns out that the application of Lie group analysis yields an elegant form of the solution. After introducing the governing mathematical model and some preliminaries of Lie symmetry analysis, we compute the Lie point symmetries admitted by the governing equation and use these to construct the desired solution as an invariant solution.
Closure of the gauge algebra, generalized Lie equations and Feynman rules
International Nuclear Information System (INIS)
Batalin, I.A.
1984-01-01
A method is given by which an open gauge algebra can always be closed and even made abelian. As a preliminary the generalized Lie equations for the open group are obtained. The Feynman rules for gauge theories with open algebras are derived by reducing the gauge theory to a non-gauge one. (orig.)
Noncommutative via closed star product
Kupriyanov, V. G.; Vitale, P.
2015-08-01
We consider linear star products on of Lie algebra type. First we derive the closed formula for the polydifferential representation of the corresponding Lie algebra generators. Using this representation we define the Weyl star product on the dual of the Lie algebra. Then we construct a gauge operator relating the Weyl star product with the one which is closed with respect to some trace functional, Tr ( f ⋆ g) = Tr ( f · g). We introduce the derivative operator on the algebra of the closed star product and show that the corresponding Leibniz rule holds true up to a total derivative. As a particular example we study the space R {/θ 3} with type noncommutativity and show that in this case the closed star product is the one obtained from the Duflo quantization map. As a result a Laplacian can be defined such that its commutative limit reproduces the ordinary commutative one. The deformed Leibniz rule is applied to scalar field theory to derive conservation laws and the corresponding noncommutative currents.
Lie-algebra approach to symmetry breaking
International Nuclear Information System (INIS)
Anderson, J.T.
1981-01-01
A formal Lie-algebra approach to symmetry breaking is studied in an attempt to reduce the arbitrariness of Lagrangian (Hamiltonian) models which include several free parameters and/or ad hoc symmetry groups. From Lie algebra it is shown that the unbroken Lagrangian vacuum symmetry can be identified from a linear function of integers which are Cartan matrix elements. In broken symmetry if the breaking operators form an algebra then the breaking symmetry (or symmetries) can be identified from linear functions of integers characteristic of the breaking symmetries. The results are applied to the Dirac Hamiltonian of a sum of flavored fermions and colored bosons in the absence of dynamical symmetry breaking. In the partially reduced quadratic Hamiltonian the breaking-operator functions are shown to consist of terms of order g 2 , g, and g 0 in the color coupling constants and identified with strong (boson-boson), medium strong (boson-fermion), and fine-structure (fermion-fermion) interactions. The breaking operators include a boson helicity operator in addition to the familiar fermion helicity and ''spin-orbit'' terms. Within the broken vacuum defined by the conventional formalism, the field divergence yields a gauge which is a linear function of Cartan matrix integers and which specifies the vacuum symmetry. We find that the vacuum symmetry is chiral SU(3) x SU(3) and the axial-vector-current divergence gives a PCAC -like function of the Cartan matrix integers which reduces to PCAC for SU(2) x SU(2) breaking. For the mass spectra of the nonets J/sup P/ = 0 - ,1/2 + ,1 - the integer runs through the sequence 3,0,-1,-2, which indicates that the breaking subgroups are the simple Lie groups. Exact axial-vector-current conservation indicates a breaking sum rule which generates octet enhancement. Finally, the second-order breaking terms are obtained from the second-order spin tensor sum of the completely reduced quartic Hamiltonian
A new approach for categorizing pig lying behaviour based on a Delaunay triangulation method.
Nasirahmadi, A; Hensel, O; Edwards, S A; Sturm, B
2017-01-01
Machine vision-based monitoring of pig lying behaviour is a fast and non-intrusive approach that could be used to improve animal health and welfare. Four pens with 22 pigs in each were selected at a commercial pig farm and monitored for 15 days using top view cameras. Three thermal categories were selected relative to room setpoint temperature. An image processing technique based on Delaunay triangulation (DT) was utilized. Different lying patterns (close, normal and far) were defined regarding the perimeter of each DT triangle and the percentages of each lying pattern were obtained in each thermal category. A method using a multilayer perceptron (MLP) neural network, to automatically classify group lying behaviour of pigs into three thermal categories, was developed and tested for its feasibility. The DT features (mean value of perimeters, maximum and minimum length of sides of triangles) were calculated as inputs for the MLP classifier. The network was trained, validated and tested and the results revealed that MLP could classify lying features into the three thermal categories with high overall accuracy (95.6%). The technique indicates that a combination of image processing, MLP classification and mathematical modelling can be used as a precise method for quantifying pig lying behaviour in welfare investigations.
You must be lying because I don't understand you: Language proficiency and lie detection.
Elliott, Elizabeth; Leach, Amy-May
2016-12-01
We examined the impact of interviewees' language proficiencies on observers' lie detection performance. Observers (N = 132) were randomly assigned to make deception judgments about interviewees (N = 56) from Four proficiency groups (i.e., native, advanced, intermediate, and beginner English speakers). Discrimination between lie- and truth-tellers was poorest when observers judged beginner English speakers compared to interviewees from any other proficiency group. Observers were also less likely to exhibit a truth-bias toward nonnative than native English speakers. These results suggest that interviewing individuals in their nonnative languages can create inequalities in the justice system. (PsycINFO Database Record (c) 2016 APA, all rights reserved).
Analysis of higher order optical aberrations in the SLC final focus using Lie Algebra techniques
International Nuclear Information System (INIS)
Walker, N.J.; Irwin, J.; Woodley, M.
1993-04-01
The SLC final focus system is designed to have an overall demagnification of 30:1, with a β at the interaction point (β*) of 5 mm, and an energy band pass of ∼0.4%. Strong sextupole pairs are used to cancel the large chromaticity which accrues primarily from the final triplet. Third-order aberrations limit the performance of the system, the dominating terms being U 1266 and U 3466 terms (in the notation of K. Brown). Using Lie Algebra techniques, it is possible to analytically calculate the soave of these terms in addition to understanding their origin. Analytical calculations (using Lie Algebra packages developed in the Mathematica language) are presented of the bandwidth and minimum spot size as a function of divergence at the interaction point (IP). Comparisons of the analytical results from the Lie Algebra maps and results from particle tracking (TURTLE) are also presented
A classification of generalized quantum statistics associated with classical Lie algebras
Stoilova, N. I.; Van der Jeugt, J.
2004-01-01
Generalized quantum statistics such as para-Fermi statistics is characterized by certain triple relations which, in the case of para-Fermi statistics, are related to the orthogonal Lie algebra B_n=so(2n+1). In this paper, we give a quite general definition of ``a generalized quantum statistics associated to a classical Lie algebra G''. This definition is closely related to a certain Z-grading of G. The generalized quantum statistics is then determined by a set of root vectors (the creation an...
Finite-Dimensional Half-Integer Weight Modules over Queer Lie Superalgebras
Cheng, Shun-Jen; Kwon, Jae-Hoon
2016-09-01
We give a new interpretation of representation theory of the finite-dimensional half-integer weight modules over the queer Lie superalgebra {{q}(n)}. It is given in terms of the Brundan's work on finite-dimensional integer weight {{q}(n)}-modules by means of Lusztig's canonical basis. Using this viewpoint we compute the characters of the finite-dimensional half-integer weight irreducible modules. For a large class of irreducible modules whose highest weights are of special types (i.e., totally connected or totally disconnected) we derive closed-form character formulas that are reminiscent of the Kac-Wakimoto character formula for basic Lie superalgebras.
Uncertainty Principles on Two Step Nilpotent Lie Groups
Indian Academy of Sciences (India)
Abstract. We extend an uncertainty principle due to Cowling and Price to two step nilpotent Lie groups, which generalizes a classical theorem of Hardy. We also prove an analogue of Heisenberg inequality on two step nilpotent Lie groups.
Uncertainty principles on two step nilpotent Lie groups
Indian Academy of Sciences (India)
Abstract. We extend an uncertainty principle due to Cowling and Price to two step nilpotent Lie groups, which generalizes a classical theorem of Hardy. We also prove an analogue of Heisenberg inequality on two step nilpotent Lie groups.
Pants on fire: the electrophysiological signature of telling a lie.
Pfister, Roland; Foerster, Anna; Kunde, Wilfried
2014-01-01
Even though electroencephalography has played a prominent role for lie detection via personally relevant information, the electrophysiological signature of active lying is still elusive. We addressed this signature with two experiments in which participants helped a virtual police officer to locate a knife. Crucially, before this response, they announced whether they would lie or tell the truth about the knife's location. This design allowed us to study the signature of lie-telling in the absence of rare and personally significant oddball stimuli that are typically used for lie detection via electrophysiological markers, especially the P300 component. Our results indicate that active lying attenuated P300 amplitudes as well as N200 amplitudes for such non-oddball stimuli. These results support accounts that stress the high cognitive demand of lie-telling, including the need to suppress the truthful response and to generate a lie.
Some remarks on Lie-isotopic lifting of Minkowski metric
Energy Technology Data Exchange (ETDEWEB)
Aringazin, A.K. [Karaganda State Univ. (Kazakhstan)]| [Inst. for Basic Research, Palm Harbor, FL (United States)
1993-06-01
Generalization of the Lorentz invariance based on Lie-isotopic approach is considered. Lie-isotopy permits metric tensor to be more general than the Minkoweld one in a way that it may depend on local variables, the inverse of it being the unit of the associated Lie-isotopic algebra. The problem of specific Lie-isotopic liftings, which may be realized in various ways, is discussed. 44 refs.
Poisson integrators for Lie-Poisson structures on R3
International Nuclear Information System (INIS)
Song Lina
2011-01-01
This paper is concerned with the study of Poisson integrators. We are interested in Lie-Poisson systems on R 3 . First, we focus on Poisson integrators for constant Poisson systems and the transformations used for transforming Lie-Poisson structures to constant Poisson structures. Then, we construct local Poisson integrators for Lie-Poisson systems on R 3 . Finally, we present the results of numerical experiments for two Lie-Poisson systems and compare our Poisson integrators with other known methods.
A comparison of the modern Lie scaling method to classical scaling techniques
Polsinelli, James; Kavvas, M. Levent
2016-07-01
In the past 2 decades a new modern scaling technique has emerged from the highly developed theory on the Lie group of transformations. This new method has been applied by engineers to several problems in hydrology and hydraulics, including but not limited to overland flow, groundwater dynamics, sediment transport, and open channel hydraulics. This study attempts to clarify the relationship this new technology has with the classical scaling method based on dimensional analysis, non-dimensionalization, and the Vaschy-Buckingham-Π theorem. Key points of the Lie group theory, and the application of the Lie scaling transformation, are outlined and a comparison is made with two classical scaling models through two examples: unconfined groundwater flow and contaminant transport. The Lie scaling method produces an invariant scaling transformation of the prototype variables, which ensures the dynamics between the model and prototype systems will be preserved. Lie scaling can also be used to determine the conditions under which a complete model is dynamically, kinematically, and geometrically similar to the prototype phenomenon. Similarities between the Lie and classical scaling methods are explained, and the relative strengths and weaknesses of the techniques are discussed.
Dimensional-duality and Its Lie Groups
Sinha, Nilotpal
2009-01-01
For a claim to a dimensional duality, we consider here that, the relativity is depending on a "double-fold" complex number for locally dense fourth axis within an enveloping 3D-space. This dimensional duality has been made here for locally dense m-dimensional geometry within n-space, for m > n, if every axis of m-space is dimensional-dual to its enveloping n-space. This locally dense m-dimensional geometry describes a reflexive complex function, viz., "transfusion" transformation, which establishes that, Lie group U(2) is the simply connected 1 to 2 enveloping group of SO(3, 1) within D-dual spaces only. Again, using the weight vectors, it is found that, there exists a SU(4) group, which may be a symmetry group for gravitons.
Simple Lie groups without the approximation property
DEFF Research Database (Denmark)
Haagerup, Uffe; de Laat, Tim
2013-01-01
For a locally compact group G, let A(G) denote its Fourier algebra, and let M0A(G) denote the space of completely bounded Fourier multipliers on G. The group G is said to have the Approximation Property (AP) if the constant function 1 can be approximated by a net in A(G) in the weak-∗ topology...... on the space M0A(G). Recently, Lafforgue and de la Salle proved that SL(3,R) does not have the AP, implying the first example of an exact discrete group without it, namely, SL(3,Z). In this paper we prove that Sp(2,R) does not have the AP. It follows that all connected simple Lie groups with finite center...... and real rank greater than or equal to two do not have the AP. This naturally gives rise to many examples of exact discrete groups without the AP....
Finely homogeneous computations in free Lie algebras
Directory of Open Access Journals (Sweden)
Philippe Andary
1997-12-01
Full Text Available We first give a fast algorithm to compute the maximal Lyndon word (with respect to lexicographic order of Ly α (A for every given multidegree alpha in N k. We then give an algorithm to compute all the words living in Ly α (A for any given α in N k. The best known method for generating Lyndon words is that of Duval [1], which gives a way to go from every Lyndon word of length n to its successor (with respect to lexicographic order by length, in space and worst case time complexity O(n. Finally, we give a simple algorithm which uses Duval's method (the one above to compute the next standard bracketing of a Lyndon word for lexicographic order by length. We can find an interesting application of this algorithm in control theory, where one wants to compute within the command Lie algebra of a dynamical system (letters are actually vector fields.
Uncertainty relations on nilpotent Lie groups.
Ruzhansky, Michael; Suragan, Durvudkhan
2017-05-01
We give relations between main operators of quantum mechanics on one of most general classes of nilpotent Lie groups. Namely, we show relations between momentum and position operators as well as Euler and Coulomb potential operators on homogeneous groups. Homogeneous group analogues of some well-known inequalities such as Hardy's inequality, Heisenberg-Kennard type and Heisenberg-Pauli-Weyl type uncertainty inequalities, as well as Caffarelli-Kohn-Nirenberg inequality are derived, with best constants. The obtained relations yield new results already in the setting of both isotropic and anisotropic [Formula: see text], and of the Heisenberg group. The proof demonstrates that the method of establishing equalities in sharper versions of such inequalities works well in both isotropic and anisotropic settings.
On Quantum Lie Nilpotency of Order 2
Directory of Open Access Journals (Sweden)
E. A. Kireeva
2016-01-01
Full Text Available The paper investigates the free algebras of varieties of associative algebras modulo identities of quantum Lie nilpotency of order 1 and 2. Let q be an invertible element of the ground field K (or of its extension. The element[x,y]q = xy-qyxof the free associative algebra is called a quantum commutator. We consider the algebras modulo identities [x,y]q = 0 (1and [[x,y]q ,z]q = 0. (2It is natural to consider the aforementioned algebras as the quantum analogs of commutative algebras and algebras of Lie nilpotency of order 2. The free algebras of the varieties of associative algebras modulo the identity of Lie nilpotency of order 2, that is the identity[[x,y] ,z] =0,where [x,y]=xy-yx is a Lie commutator, are of great interest in the theory of algebras with polynomial identities, since it was proved by A.V.Grishin for algebras over fields of characteristic 2, and V.V.Shchigolev for algebras over fields of characteristic p>2, that these algebras contain non-finitely generated T-spaces.We prove in the paper that the algebras modulo identities (1 and (2 are nilpotent in the usual sense and calculate precisely the nilpotency order of these algebras. More precisely, we prove that the free algebra of the variety of associative algebras modulo identity (1 is nilpotent of order 2 if q ≠ ± 1, and nilpotent of order 3 if q = - 1 and the characteristic of K is not equal to 2. It is also proved that the free algebra of the variety of associative algebras modulo identity (2 is nilpotent of order 3 if q3 ≠ 1, q ≠ ± 1, nilpotent of order 4 if q3 = 1, q ≠ 1, and nilpotent of
A generalization of the Lie derivative
International Nuclear Information System (INIS)
Dolan, P.
1984-01-01
If X=xisup(i)deltasub(i) and Y=etasup(i)deltasub(i) are vector fields then it is well-known that the Lie derivative Poundsub(X)Y equivalent to [X,Y] (xisup(s)deltasub(s) etasup(s)deltasub(s)xisup(i))deltasub(i) is also a vector field under general coordinate transformations. A generalization of this result, due to previous workers, allows a definition of Poundsub(F)G, where F,G are arbitrary contravariant tensor fields. The formulae are linear in the first partial derivatives of F and G. An application to the theory of Killing-Yano tensor fields on Riemannian manifolds is given. (author)
Detecting Children's Lies: Are Parents Accurate Judges of Their Own Children's Lies?
Talwar, Victoria; Renaud, Sarah-Jane; Conway, Lauryn
2015-01-01
The current study investigated whether parents are accurate judges of their own children's lie-telling behavior. Participants included 250 mother-child dyads. Children were between three and 11 years of age. A temptation resistance paradigm was used to elicit a minor transgressive behavior from the children involving peeking at a forbidden toy and…
Lying characteristics as determinants for space requirements in pigs
Ekkel, E.D.; Spoolder, H.A.M.; Hulsegge, B.; Hopster, H.
2003-01-01
An experiment was carried out to study the lying postures, space occupation and percentage of space-sharing (as a consequence of huddling behaviour) in pigs. Information about these lying characteristics is essential for the calculation of lying space requirements, e.g. for pen design legislative
Lie n-derivations on 7 -subspace lattice algebras
Indian Academy of Sciences (India)
all x ∈ K and all A ∈ Alg L. Based on this result, a complete characterization of linear n-Lie derivations on Alg L is obtained. Keywords. J -subspace lattice algebras; Lie derivations; Lie n-derivations; derivations. 2010 Mathematics Subject Classification. 47B47, 47L35. 1. Introduction. Let A be an algebra. Recall that a linear ...
Accurately Detecting Students' Lies regarding Relational Aggression by Correctional Instructions
Dickhauser, Oliver; Reinhard, Marc-Andre; Marksteiner, Tamara
2012-01-01
This study investigates the effect of correctional instructions when detecting lies about relational aggression. Based on models from the field of social psychology, we predict that correctional instruction will lead to a less pronounced lie bias and to more accurate lie detection. Seventy-five teachers received videotapes of students' true denial…
The path group construction of Lie group extensions
Vizman, Cornelia
2007-01-01
We present an explicit realization of abelian extensions of infinite dimensional Lie groups using abelian extensions of path groups, by generalizing Mickelsson's approach to loop groups and the approach of Losev-Moore-Nekrasov-Shatashvili to current groups. We apply our method to coupled cocycles on current Lie algebras and to Lichnerowicz cocycles on the Lie algebra of divergence free vector fields.
Dimension of the c-nilpotent multiplier of Lie algebras
Indian Academy of Sciences (India)
Abstract. The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of finite dimensional Lie algebras and their factor Lie algebras. We further obtain an inequality between dimensions of c-nilpotent multiplier of Lie algebra L and tensor product of a central ideal by its abelianized factor ...
Exponentiation and deformations of Lie-admissible algebras
International Nuclear Information System (INIS)
Myung, H.C.
1982-01-01
The exponential function is defined for a finite-dimensional real power-associative algebra with unit element. The application of the exponential function is focused on the power-associative (p,q)-mutation of a real or complex associative algebra. Explicit formulas are computed for the (p,q)-mutation of the real envelope of the spin 1 algebra and the Lie algebra so(3) of the rotation group, in light of earlier investigations of the spin 1/2. A slight variant of the mutated exponential is interpreted as a continuous function of the Lie algebra into some isotope of the corresponding linear Lie group. The second part of this paper is concerned with the representation and deformation of a Lie-admissible algebra. The second cohomology group of a Lie-admissible algebra is introduced as a generalization of those of associative and Lie algebras in the Hochschild and Chevalley-Eilenberg theory. Some elementary theory of algebraic deformation of Lie-admissible algebras is discussed in view of generalization of that of associative and Lie algebras. Lie-admissible deformations are also suggested by the representation of Lie-admissible algebras. Some explicit examples of Lie-admissible deformation are given in terms of the (p,q)-mutation of associative deformation of an associative algebra. Finally, we discuss Lie-admissible deformations of order one
29 CFR 801.4 - Prohibitions on lie detector use.
2010-07-01
... 29 Labor 3 2010-07-01 2010-07-01 false Prohibitions on lie detector use. 801.4 Section 801.4 Labor... OF THE EMPLOYEE POLYGRAPH PROTECTION ACT OF 1988 General § 801.4 Prohibitions on lie detector use. (a... or causing, directly or indirectly, any employee or prospective employee to take or submit to a lie...
Lie symmetries and differential galois groups of linear equations
Oudshoorn, W.R.; Put, M. van der
2002-01-01
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formulation of Lie symmetries is developed. It turns out that there is no direct relation between the two above objects. In
Evaluation of Transverse Lie at Term by Ultrasonography | Oyinloye ...
African Journals Online (AJOL)
Context: Transverse lie at term may have adverse consequences on both the mother and the foetus. Evaluating transverse lie at term by ultrasonography may reduce these adverse consequences and improve both the maternal and fetal outcome. Objectives: To determine predisposing factors to persistent transverse lie at ...
Situational determinants of the acceptability of telling lies.
Backbier, E.; Hoogstraten, J.; Meerum Terwogt Kouwenhoven, K.
1997-01-01
Determined whether the same factors people take into account when involved in the decision to lie would apply to the evaluation of lies presented in scenarios. The scenarios represented 12 different situation categories formed by the crossing of the motive for lying (social, individualistic,
Directory of Open Access Journals (Sweden)
Jen-Cheng Wang
Full Text Available Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells. The (2×2 matrix representations resulting from the polarized tissue spectra were employed to characterize the asymmetrical Gurken distributions. It was found that the fluorescence of the wild-type egg shows the Lie point symmetry X 23 at early stages of oogenesis. However, due to the morphogen regulation by intracellular proteins and extracellular proteins, the fluorescence of the embryogenesis with asymmetrically localized Gurken expansions exhibits specific symmetry features: Lie point symmetry Z 1 and Lie point symmetry X 1. The novel approach developed herein was successfully used to validate that the invariant-theoretical characterizations are consonant with the observed asymmetric fluctuations during early embryological development.
Wang, Jen-Cheng; Wang, Pei-Yu; Chen, Hung-Ing; Wu, Kai-Ling; Pai, Li-Mei; Nee, Tzer-En
2013-01-01
Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells. The (2×2) matrix representations resulting from the polarized tissue spectra were employed to characterize the asymmetrical Gurken distributions. It was found that the fluorescence of the wild-type egg shows the Lie point symmetry X 23 at early stages of oogenesis. However, due to the morphogen regulation by intracellular proteins and extracellular proteins, the fluorescence of the embryogenesis with asymmetrically localized Gurken expansions exhibits specific symmetry features: Lie point symmetry Z 1 and Lie point symmetry X 1. The novel approach developed herein was successfully used to validate that the invariant-theoretical characterizations are consonant with the observed asymmetric fluctuations during early embryological development.
More evidence of localization in the low-lying Dirac spectrum
Bernard, C; Gottlieb, Steven; Levkova, L.; Heller, U.M.; Hetrick, J.E.; Jahn, O.; Maresca, F.; Renner, Dru Bryant; Toussaint, D.; Sugar, R.; Forcrand, Ph. de; Gottlieb, Steven
2006-01-01
We have extended our computation of the inverse participation ratio of low-lying (asqtad) Dirac eigenvectors in quenched SU(3). The scaling dimension of the confining manifold is clearer and very near 3. We have also computed the 2-point correlator which further characterizes the localization.
The Lagrangian Map and Lie Symmetries in Magnetohydrodynamics and Gas Dynamics
Ko, C. M.; Webb, G. M.; Ratkiewicz, R. E.; Zank, G. P.
2007-12-01
We explore the role of the Lagrangian map for Lie symmetries in magnetohydrodynamics and gas dynamics. By converting the Eulerian Lie point symmetries of the Galilean group to Lagrange label space, in which the Eulerian position is regarded as a function of the Lagrange fluid label and time t, one finds that there is an infinite class of symmetries in Lagrange label space that map onto each Lie point symmetry. This involves the solution of the Lie determining equations for the fluid relabeling symmetries. We also consider a class of scaling symmetries for a gas with a constant adiabatic index. These symmetries map onto a modified form of the fluid relabeling symmetry determining equations with non-zero source terms. We investigate under what conditions the scaling symmetries give rise to conservation laws, and find that the conservation laws depend on the initial entropy, density and magnetic field of the fluid. Lie algebraic structures in Lagrange label space corresponding to the symmetries are investigated.
Twisted statistics and the structure of Lie-deformed Minkowski spaces
Meljanac, D.; Meljanac, S.; Pikutić, D.; Gupta, Kumar S.
2017-11-01
We show that the realizations of noncommutative coordinates that are linear in the Lorentz generators form a closed Lie algebra under certain conditions. The star product and the coproduct for the momentum generators are obtained for these Lie algebras and the corresponding twist satisfies the cocycle and normalization conditions. We also obtain the twisted flip operator and the R -matrix that define the statistics of particles or quantum fields propagating in these noncommutative spacetimes. The Lie algebra obtained in this work contains a special case which has been used in the literature to put bounds on noncommutative parameters from the experimental limits on Pauli forbidden transitions. The general covariant framework presented here is suitable for analyzing the properties of particles or quantum fields at the Planck scale.
Enveloping algebras of Lie groups with descrete series
International Nuclear Information System (INIS)
Nguyen huu Anh; Vuong manh Son
1990-09-01
In this article we shall prove that the enveloping algebra of the Lie algebra of some unimodular Lie group having discrete series, when localized at some element of the center, is isomorphic to the tensor product of a Weyl algebra over the ring of Laurent polynomials of one variable and the enveloping algebra of some reductive Lie algebra. In particular, it will be proved that the Lie algebra of a unimodular solvable Lie group having discrete series satisfies the Gelfand-Kirillov conjecture. (author). 6 refs
Restricted and quasi-toral restricted Lie-Rinehart algebras
Directory of Open Access Journals (Sweden)
Sun Bing
2015-09-01
Full Text Available In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension should be.
Internally connected graphs and the Kashiwara-Vergne Lie algebra
Felder, Matteo
2016-01-01
It is conjectured that the Kashiwara-Vergne Lie algebra $\\widehat{\\mathfrak{krv}}_2$ is isomorphic to the direct sum of the Grothendieck-Teichm\\"uller Lie algebra $\\mathfrak{grt}_1$ and a one-dimensional Lie algebra. In this paper, we use the graph complex of internally connected graphs to define a nested sequence of Lie subalgebras of $\\widehat{\\mathfrak{krv}}_2$ whose intersection is $\\mathfrak{grt}_1$, thus giving a way to interpolate between these two Lie algebras.
Environment, 1972
1972-01-01
Two views of prominent biologists are presented side-by-side. Focal point is Barry Commoner's book, The Closing Circle, with a subsequent review by Paul Ehrlich. Growth of population, increases in affluence, and increased pollution from products of technology are considered. (BL)
Lie symmetry analysis and conservation laws for the time fractional fourth-order evolution equation
Directory of Open Access Journals (Sweden)
Wang Li
2017-06-01
Full Text Available In this paper, we study Lie symmetry analysis and conservation laws for the time fractional nonlinear fourth-order evolution equation. Using the method of Lie point symmetry, we provide the associated vector fields, and derive the similarity reductions of the equation, respectively. The method can be applied wisely and efficiently to get the reduced fractional ordinary differential equations based on the similarity reductions. Finally, by using the nonlinear self-adjointness method and Riemann-Liouville time-fractional derivative operator as well as Euler-Lagrange operator, the conservation laws of the equation are obtained.
Lie Symmetry Analysis of a First-Order Feedback Model of Option Pricing
Directory of Open Access Journals (Sweden)
Winter Sinkala
2015-01-01
Full Text Available A first-order feedback model of option pricing consisting of a coupled system of two PDEs, a nonliner generalised Black-Scholes equation and the classical Black-Scholes equation, is studied using Lie symmetry analysis. This model arises as an extension of the classical Black-Scholes model when liquidity is incorporated into the market. We compute the admitted Lie point symmetries of the system and construct an optimal system of the associated one-dimensional subalgebras. We also construct some invariant solutions of the model.
Moving Picture, Lying Image: Unreliable Cinematic Narratives
Directory of Open Access Journals (Sweden)
Csönge Tamás
2015-08-01
Full Text Available By coining the term “unreliable narrator” Wayne Booth hypothesized another agent in his model besides the author, the implicit author, to explain the double coding of narratives where a distorted view of reality and the exposure of this distortion are presented simultaneously. The article deals with the applicability of the concept in visual narratives. Since unreliability is traditionally considered to be intertwined with first person narratives, it works through subjective mediators. According to scholarly literature on the subject, the narrator has to be strongly characterized, or in other words, anthropomorphized. In the case of film, the main problem is that the narrator is either missing or the narration cannot be attributed entirely to them. There is a medial rupture where the apparatus mediates the story instead of a character’s oral or written discourse. The present paper focuses on some important but overlooked questions about the nature of cinematic storytelling through a re-examination of |the lying flashback in Alfred Hitchcock's Stage Fright. Can a character-narrator control the images the viewer sees? How can the filmic image still be unreliable without having an anthropomorphic narrator? How useful is the term focalization when we are dealing with embedded character-narratives in film?
White Lies in Hand: Are Other-Oriented Lies Modified by Hand Gestures? Possibly Not
Directory of Open Access Journals (Sweden)
Katarzyna Cantarero
2017-06-01
Full Text Available Previous studies have shown that the hand-over-heart gesture is related to being more honest as opposed to using self-centered dishonesty. We assumed that the hand-over-heart gesture would also relate to other-oriented dishonesty, though the latter differs highly from self-centered lying. In Study 1 (N = 79, we showed that performing a hand-over-heart gesture diminished the tendency to use other-oriented white lies and that the fingers crossed behind one’s back gesture was not related to higher dishonesty. We then pre-registered and conducted Study 2 (N = 88, which was designed following higher methodological standards than Study 1. Contrary, to the findings of Study 1, we found that using the hand-over-heart gesture did not result in refraining from using other-oriented white lies. We discuss the findings of this failed replication indicating the importance of strict methodological guidelines in conducting research and also reflect on relatively small effect sizes related to some findings in embodied cognition.
White Lies in Hand: Are Other-Oriented Lies Modified by Hand Gestures? Possibly Not.
Cantarero, Katarzyna; Parzuchowski, Michal; Dukala, Karolina
2017-01-01
Previous studies have shown that the hand-over-heart gesture is related to being more honest as opposed to using self-centered dishonesty. We assumed that the hand-over-heart gesture would also relate to other-oriented dishonesty, though the latter differs highly from self-centered lying. In Study 1 ( N = 79), we showed that performing a hand-over-heart gesture diminished the tendency to use other-oriented white lies and that the fingers crossed behind one's back gesture was not related to higher dishonesty. We then pre-registered and conducted Study 2 ( N = 88), which was designed following higher methodological standards than Study 1. Contrary, to the findings of Study 1, we found that using the hand-over-heart gesture did not result in refraining from using other-oriented white lies. We discuss the findings of this failed replication indicating the importance of strict methodological guidelines in conducting research and also reflect on relatively small effect sizes related to some findings in embodied cognition.
Electron delocalization and aromaticity in low-lying excited states of archetypal organic compounds.
Feixas, Ferran; Vandenbussche, Jelle; Bultinck, Patrick; Matito, Eduard; Solà, Miquel
2011-12-14
Aromaticity is a property usually linked to the ground state of stable molecules. Although it is well-known that certain excited states are unquestionably aromatic, the aromaticity of excited states remains rather unexplored. To move one step forward in the comprehension of aromaticity in excited states, in this work we analyze the electron delocalization and aromaticity of a series of low-lying excited states of cyclobutadiene, benzene, and cyclooctatetraene with different multiplicities at the CASSCF level by means of electron delocalization measures. While our results are in agreement with Baird's rule for the aromaticity of the lowest-lying triplet excited state in annulenes having 4nπ-electrons, they do not support Soncini and Fowler's generalization of Baird's rule pointing out that the lowest-lying quintet state of benzene and septet state of cyclooctatetraene are not aromatic.
Generalized Star ωα-Closed Sets in Topological Spaces
Patil, P.G.; Benchalli, SS; Mirajakar, Pallavi
2016-01-01
The aim of this paper is to introduce a new class ofclosed sets called generalized star ωα-closed sets using ωα-closedsets in topological spaces. This new class of sets lies between theclass of closed sets and the class of generalized ωα-closed sets.Further some of their properties are investigated.
Magnet alignment tolerances in the SLC final focus system determined by Lie algebra techniques
International Nuclear Information System (INIS)
Zimmermann, F.
1995-01-01
Using Lie algebra techniques, static alignment tolerances are derived for all quadrupole and sextupole magnets in the 1994 SLC final focus. Three different effects are identified which limit the tolerable quadrupole misalignment. The largest amplitude of an offset-compensating closed orbit bump and the maximum allowed displacement between beam orbit and magnet center are evaluated for each sextupole. Multiparticle tracking supplements and confirms the analytical results. (orig.)
Pricing multi-asset financial derivatives with time-dependent parameters—Lie algebraic approach
Directory of Open Access Journals (Sweden)
C. F. Lo
2002-01-01
Full Text Available We present a Lie algebraic technique for the valuation of multi-asset financial derivatives with time-dependent parameters. Exploiting the dynamical symmetry of the pricing partial differential equations of the financial derivatives, the new method enables us to derive analytical closed-form pricing formulae very straightforwardly. We believe that this new approach will provide an efficient and easy-to-use method for the valuation of financial derivatives.
Lie transforms and their use in Hamiltonian perturbation theory
International Nuclear Information System (INIS)
Cary, J.R.
1978-06-01
A review is presented of the theory of Lie transforms as applied to Hamiltonian systems. We begin by presenting some general background on the Hamiltonian formalism and by introducing the operator notation for canonical transformations. We then derive the general theory of Lie transforms. We derive the formula for the new Hamiltonian when one uses a Lie transform to effect a canonical transformation, and we use Lie transforms to prove a very general version of Noether's theorem, or the symmetry-equals-invariant theorem. Next we use the general Lie transform theory to derive Deprit's perturbation theory. We illustrate this perturbation theory by application to two well-known problems in classical mechanics. Finally we present a chapter on conventions. There are many ways to develop Lie transforms. The last chapter explains the reasons for the choices made here
Lie-Hamilton systems on curved spaces: a geometrical approach
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz
2017-12-01
A Lie-Hamilton system is a nonautonomous system of first-order ordinary differential equations describing the integral curves of a t-dependent vector field taking values in a finite-dimensional Lie algebra, a Vessiot-Guldberg Lie algebra, of Hamiltonian vector fields relative to a Poisson structure. Its general solution can be written as an autonomous function, the superposition rule, of a generic finite family of particular solutions and a set of constants. We pioneer the study of Lie-Hamilton systems on Riemannian spaces (sphere, Euclidean and hyperbolic plane), pseudo-Riemannian spaces (anti-de Sitter, de Sitter, and Minkowski spacetimes) as well as on semi-Riemannian spaces (Newtonian spacetimes). Their corresponding constants of motion and superposition rules are obtained explicitly in a geometric way. This work extends the (graded) contraction of Lie algebras to a contraction procedure for Lie algebras of vector fields, Hamiltonian functions, and related symplectic structures, invariants, and superposition rules.
Construction of Lie algebras and invariant tensors through abelian semigroups
International Nuclear Information System (INIS)
Izaurieta, Fernando; RodrIguez, Eduardo; Salgado, Patricio
2008-01-01
The Abelian Semigroup Expansion Method for Lie Algebras is briefly explained. Given a Lie Algebra and a discrete abelian semigroup, the method allows us to directly build new Lie Algebras with their corresponding non-trivial invariant tensors. The Method is especially interesting in the context of M-Theory, because it allows us to construct M-Algebra Invariant Chern-Simons/Transgression Lagrangians in d = 11.
Social and Cognitive Correlates of Children’s Lying Behavior
Talwar, Victoria; Lee, Kang
2008-01-01
The relation between children’s lie-telling and their social and cognitive development was examined. Children (3 - 8 years) were told not to peek at a toy. Most children peeked and later lied about peeking. Children’s subsequent verbal statements were not always consistent with their initial denial and leaked critical information revealing their deceit. Children’s conceptual moral understanding of lies, executive functioning, and theory-of-mind understanding were also assessed. Children’s ini...
Wess-Zumino-Novikov-Witten models based on Lie superalgebras
International Nuclear Information System (INIS)
Mohammedi, N.
1994-04-01
The affine current algebra for Lie superalgebras is examined. The bilinear invariant forms of the Lie superalgebra can be either degenerate or non-degenerate. We give the conditions for a Virasoro construction, in which the currents are primary fields of weight one, to exist. In certain cases, the Virasoro central charge is an integer equal to the super dimension of the group supermanifold. A Wess-Zumino-Novikov-Witten action based on these Lie superalgebras is also found. (orig.)
Experimental Evidence on Gender Interaction in Lying Behavior
Jung, Seeun; Vranceanu, Radu
2015-01-01
The paper reports results from an Ultimatum Game experiment with asymmetric information where Proposers can send to Responders misleading information about their endowment. We allow for all possible gender combinations in the Proposer-Responder pairs. Proposer messages that underestimate the actual amount are quite widespread. The frequency of lying is slightly higher in mixed groups. Conditional on lying, men tend to state bigger lies than women. On the other hand, women tend to tell smaller...
Nonlinear analysis for the electrostatic analyzers with lie algebraic methods
International Nuclear Information System (INIS)
Li Jinhai; Lv Jianqin
2005-01-01
With the Lie algebraic methods, the charged particle trajectories in electrostatic analyzers are analyzed and the third order solutions obtained. The authors briefly describe the Lie algebraic methods and the procedures of calculating the nonlinear orbits. The procedures are: first, set up the Hamiltonian; then expand the Hamiltonian into a sum of homogeneous polynomials of different degrees; next, calculate the Lie map associating to the Hamiltonian; finally, apply the Lie map on the particle initial coordinates in the phase space, and obtain the particle nonlinear trajectories of the first order, the second order, and the third order approximations respectively. Higher orders solutions could be obtained if needed. (author)
Developments and Trends in Infinite-Dimensional Lie Theory
Neeb, Karl-Hermann
2011-01-01
This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups.Contributors: B. Allison, D. BeltiAGBPAE, W. Bertram, J. Faulkner, Ph. Gille, H. Glockner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova,
Low-dimensional filiform Lie algebras over finite fields
Falcón Ganfornina, Óscar Jesús; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad; Vasek, Vladimir (Coordinador); Shmaliy, Yuriy S. (Coordinador); Trcek, Denis (Coordinador); Kobayashi, Nobuhiko P. (Coordinador); Choras, Ryszard S. (Coordinador); Klos, Zbigniew (Coordinador)
2011-01-01
In this paper we use some objects of Graph Theory to classify low-dimensional filiform Lie algebras over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some properties on Graph Theory make easier to classify the algebras. As results, which can be applied in several branches of Physics or Engineering, for instance, we find out that there exist, up to isomorphism, six 6-dimensional filiform Lie algebras over Z/pZ, for p = 2, 3, 5. Pl...
3-Lie bialgebras (Lb,Cd and (Lb,Ce
Directory of Open Access Journals (Sweden)
Bai Ruipu
2016-05-01
Full Text Available Four dimensional $3$-Lie coalgebras with two-dimensional derived algebras, and four-dimensional $3$-Lie bialgebras of type $(L_b, C_c$ are classified. It is proved that there exist three classes of four dimensional $3$-Lie coalgebras with two-dimensional derived algebra which are $(L, C_{c_i}$, $i=1, 2, 3$ (Lemma 3.1, and ten classes of four dimensional $3$-Lie bialgebras of type $(L_b, C_c$ (Theorem 3.2.
Kjer, Vanje Rebni
2017-01-01
The objective of this thesis is to study numerical integrators and their application to solving ordinary differential equations arising from mechanical systems. Many mechanical problems are naturally formulated on Lie groups or on the groups tangent or cotangent bundle, especially those where the equations of motion are derived from variational principles. The bundles inherit the structure of the original Lie group and can be considered Lie groups themselves. Often these systems are highly c...
O'Sullivan, Maureen
2007-02-01
Bond and Uysal (this issue) complain that expert lie detectors identified by O'Sullivan and Ekman (2004) are statistical flukes. They ignore one class of experts we have identified and misrepresent the procedures we use to identify the others. They also question the psychometric validity of the measures and protocol used. Many of their points are addressed in the chapter they criticize. The fruitfulness of the O'Sullivan-Ekman protocol is illustrated with respect to improved identification of expert lie detectors, as well as a replicated pattern of errors made by experts from different professional groups. The statistical arguments offered confuse the theoretical use of the binomial with the empirical use of the normal distribution. Data are provided that may clarify this distinction.
Paternity testing using microsatellite DNA markers in captive Adélie penguins (Pygoscelis adeliae).
Sakaoka, Ken; Suzuki, Isao; Kasugai, Naeko; Fukumoto, Yohei
2014-01-01
We investigated the paternity of 39 Adélie penguins (Pygoscelis adeliae) hatched at the Port of Nagoya Public Aquarium between 1995 and 2005 breeding seasons using microsatellite DNA markers. Among the 13 microsatellite marker loci tested in this study, eight markers amplified and were found to be polymorphic in the colony's founders of the captive population (n = 26). Multiple marker analysis confirmed that all the hatchlings shared alleles with their social fathers and that none of them were sired by any male (all males ≥4 years old in the exhibit tank during each reproductive season; n = 9-15) other than the one carrying out parental duties, except in the case of two inbred hatchlings whose half-sibling parents shared the same father. These results demonstrated that extra-pair paternity (EPP) did not occur in this captive population and that even if EPP has been detected among them, the probability of excluding all other possible fathers in the exhibit tank is extremely high based on paternity exclusion probabilities across the investigated loci. The paternity exclusion probabilities were almost the same between 1994 and 2005. The probability of identity across the investigated loci declined between the two time points, but was still high. These results are reflected in a very short history of breeding in this captive population. In other words, the parentage analyses using a suite of microsatellite markers will be less effective as generations change in small closed populations, such as zoo and aquarium populations. © 2014 Wiley Periodicals, Inc.
Structures of W(2.2 Lie conformal algebra
Directory of Open Access Journals (Sweden)
Yuan Lamei
2016-01-01
. In this paper, we study conformal derivations, central extensions and conformal modules for this Lie conformal algebra. Also, we compute the cohomology of this Lie conformal algebra with coefficients in its modules. In particular, we determine its cohomology with trivial coefficients both for the basic and reduced complexes.
Internal deformation of Lie algebroids and symplectic realizations
Energy Technology Data Exchange (ETDEWEB)
Carinena, Jose F [Departamento de Fisica Teorica, Universidad de Zara-goza, 50009 Zaragoza (Spain); Costa, Joana M Nunes da [Departamento de Matematica, Universidade de Coimbra, 3001-454 Coimbra (Portugal); Santos, PatrIcia [Departamento de Fisica e Matematica, Instituto Superior de Engenharia de Coimbra, 3030-199 Coimbra (Portugal)
2006-06-02
Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poisson structure and a flat connection, we construct an extended bundle whose dual is endowed with an almost-Poisson structure that is a quadratic Poisson structure when a certain compatibility property is satisfied. This new formalism on Lie algebroids describes systems with internal degrees of freedom.
Linear algebra meets Lie algebra: the Kostant-Wallach theory
Shomron, Noam; Parlett, Beresford N.
2008-01-01
In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometry, Integrable Systems, and Lie Algebra aimed at specialists in Linear Algebra.
Transverse lie in labor: A study from Kaduna, Northern Nigeria ...
African Journals Online (AJOL)
Results: During the period there were 16633 deliveries and 30 women with transversely lying fetuses, giving an incidence of 1 in 554 deliveries. Forty percent of the cases were neglected transverse lies. The para 4 and above group had the highest incidence of 2.69/1000. Northern minorities ethnic group had the highest ...
Social and Cognitive Correlates of Children's Lying Behavior
Talwar, Victoria; Lee, Kang
2008-01-01
The relation between children's lie-telling and their social and cognitive development was examined. Children (3-8 years) were told not to peek at a toy. Most children peeked and later lied about peeking. Children's subsequent verbal statements were not always consistent with their initial denial and leaked critical information revealing their…
Internal deformation of Lie algebroids and symplectic realizations
International Nuclear Information System (INIS)
Carinena, Jose F; Costa, Joana M Nunes da; Santos, PatrIcia
2006-01-01
Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poisson structure and a flat connection, we construct an extended bundle whose dual is endowed with an almost-Poisson structure that is a quadratic Poisson structure when a certain compatibility property is satisfied. This new formalism on Lie algebroids describes systems with internal degrees of freedom
Young Children Can Tell Strategic Lies after Committing a Transgression
Fu, Genyue; Evans, Angela D.; Xu, Fen; Lee, Kang
2012-01-01
This study investigated whether young children make strategic decisions about whether to lie to conceal a transgression based on the lie recipient's knowledge. In Experiment 1, 168 3- to 5-year-olds were asked not to peek at the toy in the experimenter's absence, and the majority of children peeked. Children were questioned about their…
Longitudinal evaluation of foetal transverse lie using Ultrasonography
African Journals Online (AJOL)
No identifiable predisposing factors were seen in 91.1%, placenta previa in 5.5%, lower segment fibroids in 2.7%, and ectopic kidney in 0.7%. In conclusion, transverse lie detected early in pregnancy is transient, and majority would convert to a longitudinal lie at term. Potential predisposing factors highlighted above ...
On approximation of Lie groups by discrete subgroups
Indian Academy of Sciences (India)
2016-08-26
Aug 26, 2016 ... The notion of approximation of Lie groups by discrete subgroups was introduced by Tôyama in Kodai Math. Sem. Rep. 1 (1949) 36–37 and investigated in detail by Kuranishi in Nagoya Math. J. 2 (1951) 63–71. It is known as a theorem of Tôyama that any connected Lie group approximated by discrete ...
Lie Algebroids in Classical Mechanics and Optimal Control
Directory of Open Access Journals (Sweden)
Eduardo Martínez
2007-03-01
Full Text Available We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.
Young children will lie to prevent a moral transgression.
Harvey, Teresa; Davoodi, Telli; Blake, Peter R
2018-01-01
Children believe that it is wrong to tell lies, yet they are willing to lie prosocially to adhere to social norms and to protect a listener's feelings. However, it is not clear whether children will lie instrumentally to intervene on behalf of a third party when a moral transgression is likely to occur. In three studies (N=270), we investigated the conditions under which 5- to 8-year-olds would tell an "interventional lie" in order to misdirect one child who was seeking another child in a park. In Study 1, older children lied more when the seeker intended to steal a toy from another child than when the seeker intended to give cookies to the child. In Study 2, the transgression (stealing) was held constant, but harm to the victim was either emphasized or deemphasized. Children at all ages were more likely to lie to prevent the theft when harm was emphasized. In Study 3, harm to the victim was held constant and the act of taking was described as either theft or a positive action. Children at all ages were more likely to lie when the transgression was emphasized. We conclude that by 5years of age, children are capable of lying to prevent a moral transgression but that this is most likely to occur when both the transgression and the harm to the victim are salient. Published by Elsevier Inc.
Children's Lies and Their Detection: Implications for Child Witness Testimony
Talwar, Victoria; Crossman, Angela M.
2012-01-01
The veracity of child witness testimony is central to the justice system where there are serious consequences for the child, the accused, and society. Thus, it is important to examine how children's lie-telling abilities develop and the factors that can influence their truthfulness. The current review examines children's lie-telling ability in…
On split Lie algebras with symmetric root systems
Indian Academy of Sciences (India)
ideal of L, satisfying [Ij ,Ik] = 0 if j = k. Under certain conditions, the simplicity of L is characterized and it is shown that L is the direct sum of the family of its minimal ideals, each one being a simple split Lie algebra with a symmetric root system and having all its nonzero roots connected. Keywords. Infinite dimensional Lie ...
Representations of Lie algebras and partial differential equations
Xu, Xiaoping
2017-01-01
This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, and highlights new functors from the representation category of a simple Lie algebra to that of another simple Lie algebra. Partial differential equations play a key role in solving certain representation problems. The weight matrices of the minimal and adjoint representations over the simple Lie algebras of types E and F are proved to generate ternary orthogonal linear codes with large minimal distances. New multi-variable hypergeometric functions related to the root systems of simple Lie algebras are introduced in connection with quantum many-body systems in one dimension. In addition, the book identifies certai...
International Nuclear Information System (INIS)
Reig, J.
2007-01-01
Good afternoon. Before providing the closing remarks on behalf of the NEA, I would like to take this opportunity and make some personal reflections, if you allow me Mr. Chairman. I have had the opportunity to take part in the three workshops on public communication organised by the NEA. In the first one in Paris in 2000, representing my country, Spain, and in the two last ones in Ottawa in 2004 and Tokyo today, on behalf of the NEA. The topics for the three workshops follow a logical order, first the focus was on investing in trust in a time when public communication was becoming a big challenge for the regulators. Second, maintaining and measuring public confidence to assess how credible regulators are in front of the public; and finally here in Tokyo, transparency, which is a basic element to achieve trust and credibility. In my view, a regulatory decision has three main components, it has to be technically sound. legally correct and well communicated. The emphasis in the early years was in the technical matters, till legal issues became a key element to achieve the political acceptance from governments and local authorities. Finally the public communication aspects resulted into a major effort and challenge to achieve social acceptance. (author)
Quantum algebras as quantizations of dual Poisson–Lie groups
International Nuclear Information System (INIS)
Ballesteros, Ángel; Musso, Fabio
2013-01-01
A systematic computational approach for the explicit construction of any quantum Hopf algebra (U z (g), Δ z ) starting from the Lie bialgebra (g, δ) that gives the first-order deformation of the coproduct map Δ z is presented. The procedure is based on the well-known ‘quantum duality principle’, namely the fact that any quantum algebra can be viewed as the quantization of the unique Poisson–Lie structure (G*, Λ g ) on the dual group G*, which is obtained by exponentiating the Lie algebra g* defined by the dual map δ*. From this perspective, the coproduct for U z (g) is just the pull-back of the group law for G*, and the Poisson analogues of the quantum commutation rules for U z (g) are given by the unique Poisson–Lie structure Λ g on G* whose linearization is the Poisson analogue of the initial Lie algebra g. This approach is shown to be a very useful technical tool in order to solve the Lie bialgebra quantization problem explicitly since, once a Lie bialgebra (g, δ) is given, the full dual Poisson–Lie group (G*, Λ) can be obtained either by applying standard Poisson–Lie group techniques or by implementing the algorithm presented here with the aid of symbolic manipulation programs. As a consequence, the quantization of (G*, Λ) will give rise to the full U z (g) quantum algebra, provided that ordering problems are appropriately fixed through the choice of certain local coordinates on G* whose coproduct fulfils a precise ‘quantum symmetry’ property. The applicability of this approach is explicitly demonstrated by reviewing the construction of several instances of quantum deformations of physically relevant Lie algebras such as sl(2,R), the (2+1) anti-de Sitter algebra so(2, 2) and the Poincaré algebra in (3+1) dimensions. (paper)
Buttock wounds: beware what lies beneath.
Clark, Stephanie; Westley, Suzanne; Coupland, Alexander; Hamady, Mohamad; Davies, Alun H
2017-10-24
A 25-year-old man presented to a major trauma centre with multiple stab wounds, most significantly to the right buttock. Triple-phase CT revealed no acute bleeding and his wounds were closed. In the month following injury, he re-presented seven times to the emergency department (ED) complaining of bleeding and wound breakdown. After his seventh ED attendance, he was examined under general anaesthesia. Intraoperatively, profuse arterial bleeding was encountered and the local major haemorrhage protocol was activated. The on-call consultant vascular surgeon attended and definitive control was achieved. A large haematoma had acted to tamponade ongoing arterial bleeding and an underlying pseudoaneurysm: a finding not reported, but present, on the initial CT angiogram. Following 24 hours in the intensive care unit, he was transferred to the surgical ward and discharged 4 days later. Regular review in the outpatient department over the following 9 weeks monitored successful wound healing. © BMJ Publishing Group Ltd (unless otherwise stated in the text of the article) 2017. All rights reserved. No commercial use is permitted unless otherwise expressly granted.
Directory of Open Access Journals (Sweden)
Cantarero Katarzyna
2017-06-01
Full Text Available Lay perceptions of lying are argued to consist of a lie prototype. The latter was found to entail the intention to deceive, belief in falsity and falsity (Coleman & Kay, 1981. We proposed and found that the perceptions of the benefits of others are also an important factor that influences the extent, to which an act of intentional misleading someone to foster a false belief is labeled as a lie. Drawing from the intuitionist model of moral judgments (Haidt, 2001 we assumed that moral judgment of the behaviour would mediate the relationship. In Study 1 we analyzed data coming from a crosscultural project and found that perceived intention to benefit others was negatively related to lie labeling and that this relationship was mediated by the moral judgment of that act. In Study 2 we found that manipulating the benefits of others influenced the extent, to which an act of intentional misleading in order to foster a false belief is labeled as a lie and that, again, this relationship is mediated by the moral judgment of that act.
Fixed points of IA-endomorphisms of a free metabelian Lie algebra
Indian Academy of Sciences (India)
fn−1xn−1 = 0. Since P is a principal ideal domain (PID), we have f1 =···= fn−1 = 0 and so, we have the required result. Proof of (ii). To get a contradiction we assume that there exists a P-submodule M of. L with rank n. Since P ⊗K V is a free P-module and P is a PID, we obtain θ(M) is a free P-module and rank (θ(M)) ≤ n.
Higher order Lie-Baecklund symmetries of evolution equations
International Nuclear Information System (INIS)
Roy Chowdhury, A.; Roy Chowdhury, K.; Paul, S.
1983-10-01
We have considered in detail the analysis of higher order Lie-Baecklund symmetries for some representative nonlinear evolution equations. Until now all such symmetry analyses have been restricted only to the first order of the infinitesimal parameter. But the existence of Baecklund transformation (which can be shown to be an overall sum of higher order Lie-Baecklund symmetries) makes it necessary to search for such higher order Lie-Baecklund symmetries directly without taking recourse to the Baecklund transformation or inverse scattering technique. (author)
Earthquakes - a danger to deep-lying repositories?
International Nuclear Information System (INIS)
2012-03-01
This booklet issued by the Swiss National Cooperative for the Disposal of Radioactive Waste NAGRA takes a look at geological factors concerning earthquakes and the safety of deep-lying repositories for nuclear waste. The geological processes involved in the occurrence of earthquakes are briefly looked at and the definitions for magnitude and intensity of earthquakes are discussed. Examples of damage caused by earthquakes are given. The earthquake situation in Switzerland is looked at and the effects of earthquakes on sub-surface structures and deep-lying repositories are discussed. Finally, the ideas proposed for deep-lying geological repositories for nuclear wastes are discussed
Lie symmetries of the shigesada-Kawasaki-Teramoto system
Cherniha, Roman; Davydovych, Vasyl'; Muzyka, Liliia
2017-04-01
The Shigesada-Kawasaki-Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered. The system is the most important case of the biologically motivated model proposed by Shigesada et al. (J. Theor. Biol.79(1979) 83-99). A complete description of Lie symmetries for this system is derived. It is proved that the Shigesada-Kawasaki-Teramoto system admits a wide range of different Lie symmetries depending on coefficient values. In particular, the Lie symmetry operators with highly unusual structure are unveiled and applied for finding exact solutions of the relevant nonlinear system with cross-diffusion.
Lie 3-algebra and multiple M2-branes
International Nuclear Information System (INIS)
Ho, Pei-Ming; Hou, Ru-Chuen; Matsuo, Yutaka
2008-01-01
Motivated by the recent proposal of an N = 8 supersymmetric action for multiple M2-branes, we study the Lie 3-algebra in detail. In particular, we focus on the fundamental identity and the relation with Nambu-Poisson bracket. Some new algebras not known in the literature are found. Next we consider cubic matrix representations of Lie 3-algebras. We show how to obtain higher dimensional representations by tensor products for a generic 3-algebra. A criterion of reducibility is presented. We also discuss the application of Lie 3-algebra to the membrane physics, including the Basu-Harvey equation and the Bagger-Lambert model.
Forces Unification in the Framework of Transitive Lie Algebroids
Ramandi, Gh. Fasihi; Boroojerdian, N.
2015-05-01
Yang-Mills field equations describe non gravitational forces in the context of principal bundles, and Einstein field equation describes gravity in the context of semi-Riemannian metrics. Transitive Lie algebroids simultaneously contain tangent bundle of its base manifold and some Lie algebra bundle, so in this framework we can describe both gravity and other forces. Fortunately, suitable metrics on transitive algebroids provide us good apparatus to describe gravity and other forces in the same manner. The field equations are derived from an action which is formed naturally by scalar curvature of the metrics on a transitive Lie algebroid. The derived equations contain Einstein and Yang-Mills equations in vacuum, simultaneously.
Fricke Lie algebras and the genus zero property in Moonshine
Carnahan, Scott
2017-10-01
We give a new, simpler proof that the canonical actions of finite groups on Fricke-type Monstrous Lie algebras yield genus zero functions in generalized Monstrous Moonshine, using a Borcherds-Kac-Moody Lie algebra decomposition due to Jurisich. We describe a compatibility condition, arising from the no-ghost theorem in bosonic string theory, that yields the genus zero property. We give evidence for and against the conjecture that such a compatibility for symmetries of the Monster Lie algebra gives a characterization of the Monster group.
Sophus Lie une pensée audacieuse
Stubhaug, Arild
2006-01-01
Sophus Lie (1842-1899) compte parmi les plus grandes figures norvgiennes de la science. La notorit que lui valent ses travaux n'a rien envier celle de son illustre compatriote Niels Henrik Abel. Groupes et alg bres de Lie ont acquis droit de cit dans maints domaines. Dans cette biographie dtaille, l'crivain Arild Stubhaug, puisant dans la volumineuse correspondance de Lie, dcrit l'homme et la socit norvgienne dans la seconde moiti du XIXe si cle. Le lecteur peut ainsi suivre son enfance dans un presbyt re nich au fond d'un fjord, dcouvrir les rformes de l'enseignement, voyager en Europe, frque
Lie algebraic discussion for affinity based information diffusion in social networks
Directory of Open Access Journals (Sweden)
Shang Yilun
2017-11-01
Full Text Available In this paper we develop a dynamical information diffusion model which features the affinity of people with information disseminated in social networks. Four types of agents, i.e., susceptible, informed, known, and refractory ones, are involved in the system, and the affinity mechanism composing of an affinity threshold which represents the fitness of information to be propagated is incorporated. The model can be generally described by a time-inhomogeneous Markov chain, which is governed by its master (Kolmogorov equation. Based on the Wei-Norman method, we derive analytical solutions of the model by constructing a low-dimensional Lie algebra. Numerical examples are provided to illustrate the obtained theoretical results. This study provides useful insights into the closed-form solutions of complex social dynamics models through the Lie algebra method.
Lie algebraic discussion for affinity based information diffusion in social networks
Shang, Yilun
2017-11-01
In this paper we develop a dynamical information diffusion model which features the affinity of people with information disseminated in social networks. Four types of agents, i.e., susceptible, informed, known, and refractory ones, are involved in the system, and the affinity mechanism composing of an affinity threshold which represents the fitness of information to be propagated is incorporated. The model can be generally described by a time-inhomogeneous Markov chain, which is governed by its master (Kolmogorov) equation. Based on the Wei-Norman method, we derive analytical solutions of the model by constructing a low-dimensional Lie algebra. Numerical examples are provided to illustrate the obtained theoretical results. This study provides useful insights into the closed-form solutions of complex social dynamics models through the Lie algebra method.
Saberi, Elaheh; Reza Hejazi, S.
2018-02-01
In the present paper, Lie point symmetries of the time-fractional generalized Hirota-Satsuma coupled KdV (HS-cKdV) system based on the Riemann-Liouville derivative are obtained. Using the derived Lie point symmetries, we obtain similarity reductions and conservation laws of the considered system. Finally, some analytic solutions are furnished by means of the invariant subspace method in the Caputo sense.
Directory of Open Access Journals (Sweden)
Heiko Rauhut
Full Text Available Field experiments have shown that observing other people littering, stealing or lying can trigger own misconduct, leading to a decay of social order. However, a large extent of norm violations goes undetected. Hence, the direction of the dynamics crucially depends on actors' beliefs regarding undetected transgressions. Because undetected transgressions are hardly measureable in the field, a laboratory experiment was developed, where the complete prevalence of norm violations, subjective beliefs about them, and their behavioral dynamics is measurable. In the experiment, subjects could lie about their monetary payoffs, estimate the extent of liars in their group and make subsequent lies contingent on information about other people's lies. Results show that informed people who underestimate others' lying increase own lying more than twice and those who overestimate, decrease it by more than half compared to people without information about others' lies. This substantial interaction puts previous results into perspective, showing that information about others' transgressions can trigger dynamics in both directions: the spreading of normative decay and restoring of norm adherence.
Rauhut, Heiko
2013-01-01
Field experiments have shown that observing other people littering, stealing or lying can trigger own misconduct, leading to a decay of social order. However, a large extent of norm violations goes undetected. Hence, the direction of the dynamics crucially depends on actors' beliefs regarding undetected transgressions. Because undetected transgressions are hardly measureable in the field, a laboratory experiment was developed, where the complete prevalence of norm violations, subjective beliefs about them, and their behavioral dynamics is measurable. In the experiment, subjects could lie about their monetary payoffs, estimate the extent of liars in their group and make subsequent lies contingent on information about other people's lies. Results show that informed people who underestimate others' lying increase own lying more than twice and those who overestimate, decrease it by more than half compared to people without information about others' lies. This substantial interaction puts previous results into perspective, showing that information about others' transgressions can trigger dynamics in both directions: the spreading of normative decay and restoring of norm adherence.
S7 without any construction of Lie group
International Nuclear Information System (INIS)
Zhou Jian; Xu Senlin.
1988-12-01
It was proved that the sphere S n is a parallelizable manifold if and only if n = 1,3 or 7, and that S n is an H-space if and only if n = 0,1,3 or 7. Because a Lie group must necessarily be a parallelizable manifold and also an H-space, naturally one asks that S n is a Lie group for n = 0, 1,3 or 7? In this paper we prove that S 7 is not a Lie group, and it is not even a topological group. Therefore, S n is a Lie group (or a topological group) if and only if n = 0,1,3. (author). 11 refs
Analytic transfer maps for Lie algebraic design codes
International Nuclear Information System (INIS)
van Zeijts, J.; Neri, F.; Dragt, A.J.
1990-01-01
Lie algebraic methods provide a powerful tool for modeling particle transport through Hamiltonian systems. Briefly summarized, Lie algebraic design codes work as follows: first the time t flow generated by a Hamiltonian system is represented by a Lie algebraic map acting on the initial conditions. Maps are generated for each element in the lattice or beamline under study. Next all these maps are concatenated into a one-turn or one-pass map that represents the complete dynamics of the system. Finally, the resulting map is analyzed and design decisions are made based on the linear and nonlinear entries in the map. The authors give a short description of how to find Lie algebraic transfer maps in analytic form, for inclusion in accelerator design codes. As an example they find the transfer map, through third order, for the combined-function quadrupole magnet, and use such magnets to correct detrimental third-order aberrations in a spot forming system
Intrinsic Optimal Control for Mechanical Systems on Lie Group
Directory of Open Access Journals (Sweden)
Chao Liu
2017-01-01
Full Text Available The intrinsic infinite horizon optimal control problem of mechanical systems on Lie group is investigated. The geometric optimal control problem is built on the intrinsic coordinate-free model, which is provided with Levi-Civita connection. In order to obtain an analytical solution of the optimal problem in the geometric viewpoint, a simplified nominal system on Lie group with an extra feedback loop is presented. With geodesic distance and Riemann metric on Lie group integrated into the cost function, a dynamic programming approach is employed and an analytical solution of the optimal problem on Lie group is obtained via the Hamilton-Jacobi-Bellman equation. For a special case on SO(3, the intrinsic optimal control method is used for a quadrotor rotation control problem and simulation results are provided to show the control performance.
Path integral and quasiclassical asymptotics of the Lie group
International Nuclear Information System (INIS)
Karasev, M.V.
1977-01-01
Solution of the Cauchy problem for the right-invariant differential operator on the Lie group is represented as a formal path integral. Finite-dimensional approximations of this integral and its quasiclassical asymptotics are written down
Solution of Lie' nard Equations using Modified Initial Guess ...
African Journals Online (AJOL)
We also demonstrate the superiority of MIGVIM over the decomposition method and the variational iteration method for this type of equations by providing numerical comparisons. Keywords: Variational Iteration, Lagrange multiplier, Lie' nard equations, Adomian decomposition, Modified initial guess variational iteration.
Developments and retrospectives in Lie theory algebraic methods
Penkov, Ivan; Wolf, Joseph
2014-01-01
This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics. Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Algebraic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research. Mos...
Developments and retrospectives in Lie theory geometric and analytic methods
Penkov, Ivan; Wolf, Joseph
2014-01-01
This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics. Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Geometric and Analytic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current re...
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From Rota-Baxter algebras to pre-Lie algebras
International Nuclear Information System (INIS)
An Huihui; Ba, Chengming
2008-01-01
Rota-Baxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. Rota-Baxter algebras provide a construction of pre-Lie algebras from associative algebras. In this paper, we give all Rota-Baxter operators of weight 1 on complex associative algebras in dimension ≤3 and their corresponding pre-Lie algebras
Towards a structure theory for Lie-admissible algebras
International Nuclear Information System (INIS)
Wene, G.P.
1981-01-01
The concepts of radical and decomposition of algebras are presented. Following a discussion of the theory for associative algebras, examples are presented that illuminate the difficulties encountered in choosing a structure theory for nonassociative algebras. Suitable restrictions, based upon observed phenomenon, are given that reduce the class of Lie-admissible algebras to a manageable size. The concepts developed in the first part of the paper are then reexamined in the context of this smaller class of Lie-admissible algebras
On the low-lying states of TiC
Bauschlicher, C. W., Jr.; Siegbahn, P. E. M.
1984-01-01
The ground and low-lying excited states of TiC are investigated using a CASSCF-externally contracted CI approach. The calculations yield a 3Sigma(+) ground state, but the 1Sigma(+) state is only 780/cm higher and cannot be ruled out. The low-lying states have some triple bond character. The nature of the bonding and origin of the states are discussed.
Let Sleeping Dogs Lie: NATO Nuclear Policy Since 1991
2010-03-04
St ra te gy R es ea rc h Pr oj ec t LET SLEEPING DOGS LIE: NATO NUCLEAR POLICY SINCE 1991 BY LIEUTENANT COLONEL STEPHEN D. PEDROTTY...2. REPORT TYPE 3. DATES COVERED (From - To) 4. TITLE AND SUBTITLE Let Sleeping Dogs Lie: NATO Nuclear Policy Since 1991 5a...the treaty without dedicating Dual Capable Aircraft (DCA) to the alliance. There are many benefits to fulfilling the nuclear deterrence mission with
Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
International Nuclear Information System (INIS)
Ammar, F; Makhlouf, A; Silvestrov, S
2010-01-01
In this paper we construct ternary q-Virasoro-Witt algebras which q-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using su(1, 1) enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary q-Virasoro-Witt algebras constructed in this paper are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield a Hom-Nambu-Lie algebra structure for q-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary q-Virasoro-Witt algebras we construct, carry a structure of the ternary Hom-Nambu-Lie algebra for all values of the involved parameters.
In vino veritas? Alcohol, response inhibition and lying.
Suchotzki, Kristina; Crombez, Geert; Debey, Evelyne; van Oorsouw, Kim; Verschuere, Bruno
2015-01-01
Despite the widespread belief that alcohol makes the truth come out more easily, we know very little on how alcohol impacts deception. Given that alcohol impairs response inhibition, and that response inhibition may be critically involved in deception, we expected that alcohol intake would hamper lying. In total, 104 volunteers were tested at a science festival, where they had the opportunity to drink alcohol. Stop-Signal Reaction Times (SSRTs) served as operationalization of response inhibition. Differences in error rates and reaction times (RTs) between lying and truth telling served as indicators of the cognitive cost of lying. Higher blood alcohol concentration was related to longer SSRTs, but unrelated to the cognitive costs of lying. This study validates previous laboratory research on alcohol and response inhibition in a realistic drinking environment, yet failed to find an effect of alcohol on lying. Implications of these findings and for the role of response inhibition in lying are discussed. © The Author 2014. Medical Council on Alcohol and Oxford University Press. All rights reserved.
Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
Energy Technology Data Exchange (ETDEWEB)
Ammar, F [Faculte des Sciences, Universite de Sfax, BP 1171, 3000 Sfax (Tunisia); Makhlouf, A [Laboratoire de Mathematiques, Informatique et Applications, Universite de Haute Alsace, 4, rue des Freres Lumiere F-68093 Mulhouse (France); Silvestrov, S, E-mail: Faouzi.Ammar@rnn.fss.t, E-mail: Abdenacer.Makhlouf@uha.f, E-mail: sergei.silvestrov@math.lth.s [Centre for Mathematical Sciences, Lund University, Box 118, SE-221 00 Lund (Sweden)
2010-07-02
In this paper we construct ternary q-Virasoro-Witt algebras which q-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using su(1, 1) enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary q-Virasoro-Witt algebras constructed in this paper are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield a Hom-Nambu-Lie algebra structure for q-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary q-Virasoro-Witt algebras we construct, carry a structure of the ternary Hom-Nambu-Lie algebra for all values of the involved parameters.
Lie construction affects information storage under high memory load condition.
Liu, Yuqiu; Wang, Chunjie; Jiang, Haibo; He, Hongjian; Chen, Feiyan
2017-01-01
Previous studies indicate that lying consumes cognitive resources, especially working memory (WM) resources. Considering the dual functions that WM might play in lying: holding the truth-related information and turning the truth into lies, the present study examined the relationship between the information storage and processing in the lie construction. To achieve that goal, a deception task based on the old/new recognition paradigm was designed, which could manipulate two levels of WM load (low-load task using 4 items and high-load task using 6 items) during the deception process. The analyses based on the amplitude of the contralateral delay activity (CDA), a proved index of the number of representations being held in WM, showed that the CDA amplitude was lower in the deception process than that in the truth telling process under the high-load condition. In contrast, under the low-load condition, no CDA difference was found between the deception and truth telling processes. Therefore, we deduced that the lie construction and information storage compete for WM resources; when the available WM resources cannot meet this cognitive demand, the WM resources occupied by the information storage would be consumed by the lie construction.
Longitudinal evaluation of foetal transverse lie using ultrasonography.
Oyinloye, Olalekan I; Okoyomo, Alexander A
2010-03-01
The purpose of this study was to assess the risk of persistence of transverse lie detected earlier in pregnancy and associated predisposing factors using follow-up ultrasound (US). A longitudinal study was carried out from January 2004 to august 2004 at Federal Medical centre, Lokoja, Nigeria. All singleton pregnancies, with ultrasound diagnosis of transverse lie, between 24-28 weeks were followed to term. At 24-28 weeks, 183 fetuses presented with transverse lie. Thirty seven were lost to follow-up; out of the remaining 146 babies, 22 persisted to term. Overall persistence rate was 15.1%. No identifiable predisposing factors were seen in 91.1%, placenta previa in 5.5%, lower segment fibroids in 2.7%, and ectopic kidney in 0.7%. In conclusion, transverse lie detected early in pregnancy is transient, and majority would convert to a longitudinal lie at term. Potential predisposing factors highlighted above increases the risk of persistent transverse lie at term, with placenta previa and lower segment fibroids being the major predisposing factors.
Lie Markov models with purine/pyrimidine symmetry.
Fernández-Sánchez, Jesús; Sumner, Jeremy G; Jarvis, Peter D; Woodhams, Michael D
2015-03-01
Continuous-time Markov chains are a standard tool in phylogenetic inference. If homogeneity is assumed, the chain is formulated by specifying time-independent rates of substitutions between states in the chain. In applications, there are usually extra constraints on the rates, depending on the situation. If a model is formulated in this way, it is possible to generalise it and allow for an inhomogeneous process, with time-dependent rates satisfying the same constraints. It is then useful to require that, under some time restrictions, there exists a homogeneous average of this inhomogeneous process within the same model. This leads to the definition of "Lie Markov models" which, as we will show, are precisely the class of models where such an average exists. These models form Lie algebras and hence concepts from Lie group theory are central to their derivation. In this paper, we concentrate on applications to phylogenetics and nucleotide evolution, and derive the complete hierarchy of Lie Markov models that respect the grouping of nucleotides into purines and pyrimidines-that is, models with purine/pyrimidine symmetry. We also discuss how to handle the subtleties of applying Lie group methods, most naturally defined over the complex field, to the stochastic case of a Markov process, where parameter values are restricted to be real and positive. In particular, we explore the geometric embedding of the cone of stochastic rate matrices within the ambient space of the associated complex Lie algebra.
Low-lying gravitational modes in the scalar sector of the global AdS4 black hole
Michalogiorgakis, Georgios; Pufu, Silviu S.
2007-02-01
We compute the quasinormal frequencies corresponding to the scalar sector of gravitational perturbations in the four-dimensional AdS-Schwarzschild black hole by using the master field formalism of [1]. We argue that the non-deformation of the boundary metric favors a Robin boundary condition on the master field over the usual Dirichlet boundary condition mostly used in the literature. Using this Robin boundary condition we find a family of low-lying modes, whose frequencies match closely with predictions from linearized hydrodynamics on the boundary. In addition to the low-lying modes, we also see the usual sequence of modes with frequencies almost following an arithmetic progression.
DEFF Research Database (Denmark)
Eshøj, Henrik; Juul-Kristensen, Birgit; Gam Bender Jørgensen, René
2017-01-01
when used for upper limb testing. The aim was to investigate reproducibility and validity of the NWBB. METHODS: A test-retest design was performed with 68 subjects completing three different prone lying, upper limb weight-bearing balance tasks on a NWBB: two-arms, eyes closed (1) one-arm, non.......17 (95% CI 0.12-0.22)) due to large differences between the NWBB and force platform in noise sensitivity at low deadweights (especially below 50kg). CONCLUSION: The NWBB prone lying, shoulder sensorimotor control test was highly reproducible. Though, concurrent validity of the NWBB was poor compared...
The general Lie group and similarity solutions for the one-dimensional Vlasov-Maxwell equations
Roberts, D.
1985-01-01
The general Lie point transformation group and the associated reduced differential equations and similarity forms for the solutions are derived here for the coupled (nonlinear) Vlasov-Maxwell equations in one spatial dimension. The case of one species in a background is shown to admit a larger group than the multispecies case. Previous exact solutions are shown to be special cases of the above solutions, and many of the new solutions are found to constrain the form of the distribution function much more than, for example, the BGK solutions do. The individual generators of the Lie group are used to find the possible subgroups. Finally, a simple physical argument is given to show that the asymptotic solution for a one-species, one-dimensional plasma is one of the general similarity solutions.
Modelling point patterns with linear structures
DEFF Research Database (Denmark)
Møller, Jesper; Rasmussen, Jakob Gulddahl
2009-01-01
processes whose realizations contain such linear structures. Such a point process is constructed sequentially by placing one point at a time. The points are placed in such a way that new points are often placed close to previously placed points, and the points form roughly line shaped structures. We...
Infinite-dimensional Lie algebras in 4D conformal quantum field theory
International Nuclear Information System (INIS)
Bakalov, Bojko; Nikolov, Nikolay M; Rehren, Karl-Henning; Todorov, Ivan
2008-01-01
The concept of global conformal invariance (GCI) opens the way of applying algebraic techniques, developed in the context of two-dimensional chiral conformal field theory, to a higher (even) dimensional spacetime. In particular, a system of GCI scalar fields of conformal dimension two gives rise to a Lie algebra of harmonic bilocal fields, V M (x, y), where the M span a finite dimensional real matrix algebra M closed under transposition. The associative algebra M is irreducible iff its commutant M' coincides with one of the three real division rings. The Lie algebra of (the modes of) the bilocal fields is in each case an infinite-dimensional Lie algebra: a central extension of sp(∞,R) corresponding to the field R of reals, of u(∞, ∞) associated with the field C of complex numbers, and of so*(4∞) related to the algebra H of quaternions. They give rise to quantum field theory models with superselection sectors governed by the (global) gauge groups O(N), U(N) and U(N,H)=Sp(2N), respectively
Infinite-dimensional Lie algebras in 4D conformal quantum field theory
Energy Technology Data Exchange (ETDEWEB)
Bakalov, Bojko [Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC 27695 (United States); Nikolov, Nikolay M; Rehren, Karl-Henning; Todorov, Ivan [Institute for Nuclear Research and Nuclear Energy, Tsarigradsko Chaussee 72, BG-1784 Sofia (Bulgaria)], E-mail: bojko_bakalov@ncsu.edu, E-mail: mitov@inrne.bas.bg, E-mail: rehren@theorie.physik.uni-goe.de, E-mail: todorov@inrne.bas.bg
2008-05-16
The concept of global conformal invariance (GCI) opens the way of applying algebraic techniques, developed in the context of two-dimensional chiral conformal field theory, to a higher (even) dimensional spacetime. In particular, a system of GCI scalar fields of conformal dimension two gives rise to a Lie algebra of harmonic bilocal fields, V{sub M}(x, y), where the M span a finite dimensional real matrix algebra M closed under transposition. The associative algebra M is irreducible iff its commutant M' coincides with one of the three real division rings. The Lie algebra of (the modes of) the bilocal fields is in each case an infinite-dimensional Lie algebra: a central extension of sp({infinity},R) corresponding to the field R of reals, of u({infinity}, {infinity}) associated with the field C of complex numbers, and of so*(4{infinity}) related to the algebra H of quaternions. They give rise to quantum field theory models with superselection sectors governed by the (global) gauge groups O(N), U(N) and U(N,H)=Sp(2N), respectively.
Real Closed Rings and Real Closed * Rings
Capco, Jose
2007-01-01
Here we try to distinguish and compare different notions of real closedness mainly one developed by N. Schwartz in his Habilitationschrift and the other developed by A. Sankaranand K. Varadarajan which we shall call real closed *. We stick to the definition of real closed rings as defined and characterized N. Schwartz and we try to determine and characterize real closed rings that are real closed *. The main result is that real closed rings have unique real closure * and that real closure of ...
Towards clinical trials of lie detection with fMRI.
Hakun, J G; Ruparel, K; Seelig, D; Busch, E; Loughead, J W; Gur, R C; Langleben, D D
2009-01-01
Recent reports of successful fMRI-based discrimination between lie and truth in single subjects raised the interest of prospective users and a public concern about the potential scope of this technology. The increased scrutiny highlighted the lack of controlled "real life", i.e. prospective clinical trials of this technology that conform to the common standards of medical device development. The ethics of conducting such trials given the paucity of data on fMRI-based lie detection has also been questioned. To probe the potential issues of translating the laboratory research into practice, we conducted a case study in which we adapted the standard Guilty Knowledge Test (GKT), a well-established model of producing deception, to the common scenario of lying on a resume. The task consisted of questions about pertinent items on the subject's resume, three of which could be independently verified as truth (KNOWN) and three that could not be verified and were thus termed UNKNOWN. The subject had an incentive to lie on all UNKNOWN items, and on debriefing confirmed that he had done so. Data was preprocessed, masked with a priori regions of interest, thresholded, and qualitatively evaluated for consistency with the previously reported prefronto-parietal Lie > Truth pattern. Deceptive responses to two out of the three UNKNOWN items were associated with the predicted prefronto-parietal fMRI pattern. In the third UNKNOWN this pattern was absent, and instead, increased limbic (amygdala and hippocampus) response was observed. Based on published prefronto-parietal Lie response pattern, only the first two items could be categorized as Lie. If confirmed, this demonstration of amygdala and hippocampus activation in a Lie > Truth contrast illustrates the need to integrate the limbic system and its emotional and cognitive correlates into the existing model of deception. Our experiment suggests an approach to a naturalistic scenario and the research questions that need to be answered
Anti-Kählerian Geometry on Lie Groups
Fernández-Culma, Edison Alberto; Godoy, Yamile
2018-03-01
Let G be a Lie group of even dimension and let ( g, J) be a left invariant anti-Kähler structure on G. In this article we study anti-Kähler structures considering the distinguished cases where the complex structure J is abelian or bi-invariant. We find that if G admits a left invariant anti-Kähler structure ( g, J) where J is abelian then the Lie algebra of G is unimodular and ( G, g) is a flat pseudo-Riemannian manifold. For the second case, we see that for any left invariant metric g for which J is an anti-isometry we obtain that the triple ( G, g, J) is an anti-Kähler manifold. Besides, given a left invariant anti-Hermitian structure on G we associate a covariant 3-tensor 𝜃 on its Lie algebra and prove that such structure is anti-Kähler if and only if 𝜃 is a skew-symmetric and pure tensor. From this tensor we classify the real 4-dimensional Lie algebras for which the corresponding Lie group has a left invariant anti-Kähler structure and study the moduli spaces of such structures (up to group isomorphisms that preserve the anti-Kähler structures).
On squares of representations of compact Lie algebras
International Nuclear Information System (INIS)
Zeier, Robert; Zimborás, Zoltán
2015-01-01
We study how tensor products of representations decompose when restricted from a compact Lie algebra to one of its subalgebras. In particular, we are interested in tensor squares which are tensor products of a representation with itself. We show in a classification-free manner that the sum of multiplicities and the sum of squares of multiplicities in the corresponding decomposition of a tensor square into irreducible representations has to strictly grow when restricted from a compact semisimple Lie algebra to a proper subalgebra. For this purpose, relevant details on tensor products of representations are compiled from the literature. Since the sum of squares of multiplicities is equal to the dimension of the commutant of the tensor-square representation, it can be determined by linear-algebra computations in a scenario where an a priori unknown Lie algebra is given by a set of generators which might not be a linear basis. Hence, our results offer a test to decide if a subalgebra of a compact semisimple Lie algebra is a proper one without calculating the relevant Lie closures, which can be naturally applied in the field of controlled quantum systems
Controllability of linear vector fields on Lie groups
International Nuclear Information System (INIS)
Ayala, V.; Tirao, J.
1994-11-01
In this paper, we shall deal with a linear control system Σ defined on a Lie group G with Lie algebra g. The dynamic of Σ is determined by the drift vector field which is an element in the normalizer of g in the Lie algebra of all smooth vector field on G and by the control vectors which are elements in g considered as left-invariant vector fields. We characterize the normalizer of g identifying vector fields on G with C ∞ -functions defined on G into g. For this class of control systems we study algebraic conditions for the controllability problem. Indeed, we prove that if the drift vector field has a singularity then the Lie algebra rank condition is necessary for the controllability property, but in general this condition does not determine this property. On the other hand, we show that the rank (ad-rank) condition is sufficient for the controllability of Σ. In particular, we extend the fundamental Kalman's theorem when G is an Abelian connected Lie group. Our work is related with a paper of L. Markus and we also improve his results. (author). 7 refs
Transcranial Current Stimulation of the Temporoparietal Junction Improves Lie Detection.
Sowden, Sophie; Wright, Gordon R T; Banissy, Michael J; Catmur, Caroline; Bird, Geoffrey
2015-09-21
The ability to detect deception is of vital importance in human society, playing a crucial role in communication, cooperation, and trade between societies, businesses, and individuals. However, numerous studies have shown, remarkably consistently, that we are only slightly above chance when it comes to detecting deception. Here we investigate whether inconsistency between one's own opinion and the stated opinion of another impairs judgment of the veracity of that statement, in the same way that one's own mental, affective, and action states, when inconsistent, can interfere with representation of those states in another. Within the context of lie detection, individuals may be less accurate when judging the veracity of another's opinion when it is inconsistent with their own opinion. Here we present a video-mediated lie-detection task to confirm this prediction: individuals correctly identified truths or lies less often when the other's expressed opinion was inconsistent with their own (experiment 1). Transcranial direct current stimulation (tDCS) of the temporoparietal junction (TPJ) has previously been shown to improve the ability to selectively represent the self or another. We therefore predicted that TPJ stimulation would enable lie detectors to inhibit their own views, enhance those of the other, and improve their ability to determine whether another was presenting their true opinion. Experiment 2 confirmed this second prediction: anodal tDCS of the TPJ improved lie detection specifically when one's own and others' views were conflicting. Copyright © 2015 The Authors. Published by Elsevier Ltd.. All rights reserved.
Ombud’s Corner: a world without lies?
Sudeshna Datta-Cockerill
2016-01-01
Can a world without lies exist? Are there different types of lies, some more acceptable than others, or is that just an excuse that we use to justify ourselves? What consequences do lies have in the working environment? If we look in the dictionary for the definition of “lie”, we find: “A lie is a false statement made with deliberate intent to deceive”. This simple definition turns out to be very useful when we feel stuck in intricate conflict situations where we suspect lies to have played a role. Examples may include supervisors presenting a situation in different ways to different colleagues; colleagues withholding information that could be useful to others; reports given in a non-accurate way; and rumours that spread around but cannot be verified. Peter was very keen to lead a particular project. He spoke to his supervisor Philippe who told him that he had in fact already proposed him to the board. When he did not get the job, Peter shared h...
Full Text Available ... OnSafety CPSC Stands for Safety The Tipping Point Home > 60 Seconds of Safety (Videos) > The Tipping Point ... 24 hours a day. For young children whose home is a playground, it’s the best way to ...
Indian Academy of Sciences (India)
Home; Journals; Resonance – Journal of Science Education; Volume 5; Issue 5. Fixed Points - From Russia with Love - A Primer of Fixed Point Theory. A K Vijaykumar. Book Review Volume 5 Issue 5 May 2000 pp 101-102. Fulltext. Click here to view fulltext PDF. Permanent link:
Computing nilpotent quotients in finitely presented Lie rings
Directory of Open Access Journals (Sweden)
Csaba Schneider
1997-12-01
Full Text Available A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q is described. The paper studies the graded and non-graded cases separately. The algorithm computes the so-called nilpotent presentation for a finitely presented, nilpotent Lie ring. A nilpotent presentation consists of generators for the abelian group and the products expressed as linear combinations for pairs formed by generators. Using that presentation the word problem is decidable in L. Provided that the Lie ring L is graded, it is possible to determine the canonical presentation for a lower central factor of L. Complexity is studied and it is shown that optimising the presentation is NP-hard. Computational details are provided with examples, timing and some structure theorems obtained from computations. Implementation in C and GAP interface are available.
11th Workshop Lie Theory and Its Applications in Physics
LT-11
2016-01-01
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.< This is a large interdisciplinary a...
Prospects of functional magnetic resonance imaging as lie detector.
Rusconi, Elena; Mitchener-Nissen, Timothy
2013-09-24
Following the demise of the polygraph, supporters of assisted scientific lie detection tools have enthusiastically appropriated neuroimaging technologies "as the savior of scientifically verifiable lie detection in the courtroom" (Gerard, 2008: 5). These proponents believe the future impact of neuroscience "will be inevitable, dramatic, and will fundamentally alter the way the law does business" (Erickson, 2010: 29); however, such enthusiasm may prove premature. For in nearly every article published by independent researchers in peer reviewed journals, the respective authors acknowledge that fMRI research, processes, and technology are insufficiently developed and understood for gatekeepers to even consider introducing these neuroimaging measures into criminal courts as they stand today for the purpose of determining the veracity of statements made. Regardless of how favorable their analyses of fMRI or its future potential, they all acknowledge the presence of issues yet to be resolved. Even assuming a future where these issues are resolved and an appropriate fMRI lie-detection process is developed, its integration into criminal trials is not assured for the very success of such a future system may necessitate its exclusion from courtrooms on the basis of existing legal and ethical prohibitions. In this piece, aimed for a multidisciplinary readership, we seek to highlight and bring together the multitude of hurdles which would need to be successfully overcome before fMRI can (if ever) be a viable applied lie detection system. We argue that the current status of fMRI studies on lie detection meets neither basic legal nor scientific standards. We identify four general classes of hurdles (scientific, legal and ethical, operational, and social) and provide an overview on the stages and operations involved in fMRI studies, as well as the difficulties of translating these laboratory protocols into a practical criminal justice environment. It is our overall conclusion
Prospects of functional Magnetic Resonance Imaging as lie detector
Directory of Open Access Journals (Sweden)
Elena eRusconi
2013-09-01
Full Text Available Following the demise of the polygraph, supporters of assisted scientific lie detection tools have enthusiastically appropriated neuroimaging technologies as the savior of scientifically verifiable lie detection in the courtroom (Gerard, 2008: 5; however, such enthusiasm may prove premature. For in nearly every article published by independent researchers in peer reviewed journals, the respective authors acknowledge that fMRI research, processes, and technology are insufficiently developed and understood for gatekeepers to even consider introducing these neuroimaging measures into criminal courts as they stand today for the purpose of determining the veracity of statements made. Regardless of how favorable their analyses of fMRI or its future potential, they all acknowledge the presence of issues yet to be resolved. Even assuming a future where these issues are resolved and an appropriate fMRI lie-detection process is developed, its integration into criminal trials is not assured for the very success of such a future system may necessitate its exclusion from courtrooms on the basis of existing legal and ethical prohibitions. In this piece, aimed for a multidisciplinary readership, we seek to highlight and bring together the multitude of hurdles which would need to be successfully overcome before fMRI can (if ever be a viable applied lie detection system. We argue that the current status of fMRI studies on lie detection meets neither basic legal nor scientific standards. We identify four general classes of hurdles (scientific, legal and ethical, operational, and social and provide an overview on the stages and operations involved in fMRI studies, as well as the difficulties of translating these laboratory protocols into a practical criminal justice environment. It is our overall conclusion that fMRI is unlikely to constitute a viable lie detector for criminal courts.
Yaşar, Emrullah; Yıldırım, Yakup; Khalique, Chaudry Masood
In this paper Lie symmetry analysis of the seventh-order time fractional Sawada-Kotera-Ito (FSKI) equation with Riemann-Liouville derivative is performed. Using the Lie point symmetries of FSKI equation, it is shown that it can be transformed into a nonlinear ordinary differential equation of fractional order with a new dependent variable. In the reduced equation the derivative is in Erdelyi-Kober sense. Furthermore, adapting the Ibragimov's nonlocal conservation method to time fractional partial differential equations, we obtain conservation laws of the underlying equation. In addition, we construct some exact travelling wave solutions for the FSKI equation using the sub-equation method.
Application of Lie group analysis in geophysical fluid dynamics
Ibragimov, Ranis
2011-01-01
This is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beams, representing exact solutions to the equation of motion of stratified fluid, can be found by solving the given model as invariant solutions of nonlinear equat
Star product and invariant integration for Lie Type noncommutative spacetimes
International Nuclear Information System (INIS)
Chryssomalakos, Chryssomalis; Okon, Elias
2007-01-01
We present a star product for noncommutative spaces of Lie type, including the so called 'canonical' case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral. A quasi-cyclicity property for the latter is shown to hold, which reduces to exact cyclicity when the adjoint representation of the underlying Lie algebra is traceless. Several explicit examples illuminate the formalism, dealing with κ-Minkowski spacetime and the Heisenberg algebra ('canonical' noncommutative 2-plane)
The Jordan structure of lie and Kac-Moody algebras
International Nuclear Information System (INIS)
Ferreira, L.A.; Gomes, J.F.; Teotonio Sobrinho, P.; Zimerman, A.H.
1989-01-01
A precise relation between the structures of Lie and Jordan algebras by presenting a method of constructing one type of algebra from the other is established. The method differs in some aspects of the Tits construction and Jordan pairs. The examples of the Lie algebras associated to simple Jordan algebras M m (n ) and Clifford algebras are discussed in detail. This approach will shed light on the role of the realizations of Jordan algebras through some types of Fermi fields used in the construction of Kac-Moodey and Virasoro algebras as well as its relevance in the study of some aspects of conformal fields theories. (author)
Discussions About Lying With An Ethical Reasoning Robot
DEFF Research Database (Denmark)
Lindner, Felix; Wächter, Laura; Bentzen, Martin Mose
2017-01-01
in a given situation. The robot first signaled uncertainty about whether lying is right or wrong in the situation, then disagreed with the participant’s view, and finally asked for justification. The results indicate that participants with a higher tendency to utilitarian judgments are initially more certain...... about their view as compared to participants with a higher tendency to deontological judgments. These differences vanish at the end of the dialogue. Lying is defended and argued against by both utilitarian and deontologically oriented participants. The diversity of the reported arguments gives an idea...
Lie algebra in quantum physics by means of computer algebra
Kikuchi, Ichio; Kikuchi, Akihito
2017-01-01
This article explains how to apply the computer algebra package GAP (www.gap-system.org) in the computation of the problems in quantum physics, in which the application of Lie algebra is necessary. The article contains several exemplary computations which readers would follow in the desktop PC: such as, the brief review of elementary ideas of Lie algebra, the angular momentum in quantum mechanics, the quark eight-fold way model, and the usage of Weyl character formula (in order to construct w...
On E-functions of semisimple Lie groups
Energy Technology Data Exchange (ETDEWEB)
Hrivnak, JirI; Patera, JirI [Centre de Recherches Mathematiques, Universite de Montreal, C P 6128 - Centre Ville, Montreal, H3C 3J7 Quebec (Canada); Kashuba, Iryna, E-mail: patera@crm.umontreal.ca, E-mail: kashuba@ime.usp.br, E-mail: jiri.hrivnak@fjfi.cvut.cz [Departamento de Matematica, Instituto de Matematica e EstatIstica, Universidade de Sao Paulo, Rua do Matao 1010, CEP 05508-090, Sao Paulo (Brazil)
2011-08-12
We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group G as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl group of G. We distinguish two cases of even Weyl groups-one is the direct product of even Weyl groups of simple components of G and the second is the full even Weyl group of G. The problem is rather simple in two dimensions. It is much richer in dimensions greater than two-we describe in detail E-transforms of semisimple Lie groups of rank 3.
Lie 3-Algebra and Multiple M2-branes
Ho, Pei-Ming; Hou, Ru-Chuen; Matsuo, Yutaka
2008-01-01
Motivated by the recent proposal of an N=8 supersymmetric action for multiple M2-branes, we study the Lie 3-algebra in detail. In particular, we focus on the fundamental identity and the relation with Nambu-Poisson bracket. Some new algebras not known in the literature are found. Next we consider cubic matrix representations of Lie 3-algebras. We show how to obtain higher dimensional representations by tensor products for a generic 3-algebra. A criterion of reducibility is presented. We also ...
Ideals and primitive elements of some relatively free Lie algebras.
Ekici, Naime; Esmerligil, Zerrin; Ersalan, Dilek
2016-01-01
Let F be a free Lie algebra of finite rank over a field K. We prove that if an ideal [Formula: see text] of the algebra [Formula: see text] contains a primitive element [Formula: see text] then the element [Formula: see text] is primitive. We also show that, in the Lie algebra [Formula: see text] there exists an element [Formula: see text] such that the ideal [Formula: see text] contains a primitive element [Formula: see text] but, [Formula: see text] and [Formula: see text] are not conjugate by means of an inner automorphism.
Lie theory and control systems defined on spheres
Brockett, R. W.
1972-01-01
It is shown that in constructing a theory for the most elementary class of control problems defined on spheres, some results from the Lie theory play a natural role. To understand controllability, optimal control, and certain properties of stochastic equations, Lie theoretic ideas are needed. The framework considered here is the most natural departure from the usual linear system/vector space problems which have dominated control systems literature. For this reason results are compared with those previously available for the finite dimensional vector space case.
Reduction method for representations of queer Lie superalgebras
Chen, Chih-Whi
2016-05-01
We develop a reduction procedure which provides an equivalence from an arbitrary block of the BGG category for the queer Lie superalgebra 𝔮(n) to a "ℤ ± s-weights" (s ∈ ℂ) block of a BGG category for finite direct sum of queer Lie superalgebras. We give descriptions of blocks. We also establish equivalences between certain maximal parabolic subcategories for 𝔮(n) and blocks of atypicality-one of the category of finite-dimensional modules for 𝔤𝔩(ℓ|n - ℓ).
Life near the Roche limit - Behavior of ejecta from satellites close to planets
Dobrovolskis, A. R.; Burns, J. A.
1980-01-01
A study of the dynamics of nearby debris from impact craters was made to explain the distinctive features seen on Phobos, Deimis, and Amalthea. The planetary tides and satellite rotation were considered, and the usual pseudo-energy (Jacobi) integral was numerically calculated in the framework of a restricted body problem where satellites are modelled as triaxial ellipsoids rather than point masses. Iso-contours of this integral show that Deimos and Amalthea are entirely closed by Roche lobes, and the surfaces of their model ellipsoids lie nearly along equipotentials. Presently, the surface of Phobos overflows its Roche lobe, except for regions within a few km of the sub-Mars and anti-Mars points. The behavior of crater ejecta from the satellites of Mars were also examined by numerical integration of trajectories for particles leaving their surfaces in the equatorial plane.
Full Text Available ... Point by CPSC Blogger September 22, 2009 appliance child Childproofing CPSC danger death electrical fall furniture head ... see news reports about horrible accidents involving young children and furniture, appliance and tv tip-overs. The ...
International Nuclear Information System (INIS)
Bonora, Loriano; Bytsenko, Andrey; Elizalde, Emilio
2012-01-01
This review paper contains a concise introduction to highest weight representations of infinite-dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of superconformal quantum mechanics and superstring models. The common link of all these concepts and of the many examples considered in this paper is to be found in a very important feature of the theory of infinite-dimensional Lie algebras: the modular properties of the characters (generating functions) of certain representations. The characters of the highest weight modules represent the holomorphic parts of the partition functions on the torus for the corresponding conformal field theories. We discuss the role of the unimodular (and modular) groups and the (Selberg-type) Ruelle spectral functions of hyperbolic geometry in the calculation of elliptic genera and associated q-series. For mathematicians, elliptic genera are commonly associated with new mathematical invariants for spaces, while for physicists elliptic genera are one-loop string partition function. (Therefore, they are applicable, for instance, to topological Casimir effect calculations.) We show that elliptic genera can be conveniently transformed into product expressions, which can then inherit the homology properties of appropriate polygraded Lie algebras. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowker’s 75th birthday devoted to ‘Applications of zeta functions and other spectral functions in mathematics and physics’. (review)
(When) Would I Lie To You? Comment on ?Deception: The Role of Consequences?
Sjaak Hurkens; Navin Kartik
2006-01-01
This paper reconsiders the evidence on lying or deception presented in Gneezy (2005, American Economic Review). We argue that Gneezy's data cannot reject the hypothesis that people are one of two kinds: either a person will never lie, or a person will lie whenever she prefers the outcome obtained by lying over the outcome obtained by telling the truth. This implies that so long as lying induces a preferred outcome over truth-telling, a person's decision of whether to lie may be...
Study of some properties of partial differential equations by Lie algebra method
International Nuclear Information System (INIS)
Chongdar, A.K.; Ludu, A.
1990-05-01
In this note we present a system of optimal subalgebras of the Lie algebra obtained in course of investigating hypergeometric polynomial. In addition to this we have obtained some reduced equation and invariants of the P.D.E. obtained under certain transformation while studying hypergeometric polynomial by Weisner's method. Some topological properties of the solutions of P.D.E. are pointed out by using the extended jet bundle formalism. Some applications of our work on plasma physics and hydrodynamics are also cited. (author). 8 refs
Comparison of the Efficiency of the LIE and MM/GBSA Methods to Calculate Ligand-Binding Energies.
Genheden, Samuel; Ryde, Ulf
2011-11-08
We have evaluated the efficiency of two popular end-point methods to calculate ligand-binding free energies, LIE (linear interaction energy) and MM/GBSA (molecular mechanics with generalized Born surface-area solvation), i.e. the computational effort needed to obtain estimates of a similar precision. As a test case, we use the binding of seven biotin analogues to avidin. The energy terms used by MM/GBSA and LIE exhibit a similar correlation time (∼5 ps), and the equilibration time seems also to be similar, although it varies much between the various ligands. The results show that the LIE method is more effective than MM/GBSA, by a factor of 2-7 for a truncated spherical system with a radius of 26 Å and by a factor of 1.0-2.4 for the full avidin tetramer (radius 47 Å). The reason for this is the cost for the MM/GBSA entropy calculations, which more than compensates for the extra simulation of the free ligand in LIE. On the other hand, LIE requires that the protein is neutralized, whereas MM/GBSA has no such requirements. Our results indicate that both the truncation and neutralization of the proteins may slow the convergence and emphasize small differences in the calculations, e.g., differences between the four subunits in avidin. Moreover, LIE cannot take advantage of the fact that avidin is a tetramer. For this test case, LIE gives poor results with the standard parametrization, but after optimizing the scaling factor of the van der Waals terms, reasonable binding affinities can be obtained, although MM/GBSA still gives a significantly better predictive index and correlation to the experimental affinities.
A note on the Lie symmetries of complex partial differential ...
Indian Academy of Sciences (India)
Folklore suggests that the split Lie-like operators of a complex partial differential equation are symmetries of the split system of real partial differential equations. However, this is not the case generally. We illustrate this by using the complex heat equation, wave equation with dissipation, the nonlinear Burgers equation and ...
Decay properties of high-lying single-particles modes
Beaumel, D; Fortier, S; Gales, S; Guillot, J; LangevinJoliot, H; Laurent, H; Maison, JM; Vernotte, J; Bordewijck, J; Brandenburg, S; Krasznahorkay, A; Crawley, GM; Massolo, CP; Renteria, M; Khendriche, A
1996-01-01
The neutron decay of high-lying single-particle states in Ni-64, Zr-90, Sn-120 and (208)pb excited by means of the (alpha,He-3) reaction has been investigated at 120 MeV incident energy using the multidetector EDEN. The characteristics of this reaction are studied using inclusive spectra and angular
The management of transverse lie in labour | Edelstein | South ...
African Journals Online (AJOL)
The management of 410 cases of transverse lie in labour at Baragwanath Hospical during the period 1964 - 1968 is analysed. Two conclusions may be drawn. Caesarean section should be performed in the fol/owing cases: (a) In patients in whom the membranes have been ruptured-a classical caesarean seclion is ...
evolution de la frequence et des problemes lies aux evacuations ...
African Journals Online (AJOL)
EVOLUTION DE LA FREQUENCE ET DES PROBLEMES LIES AUX. EVACUATIONS SANITAIRES VERS LE SERVICE DE GYNECOLOGIE-OBS-. TETRIQUE DE L'HOPITAL COMMUNAUTAIRE DE BANGUI. SEPOU A.1; GODDOT M.1; NGBALE R.1;GAUNEFET C.E.1; DOMANDE-MODANGA Z.1;. FANDEMA E.1 ...
Comparative study of spectroscopic properties of the low-lying ...
Indian Academy of Sciences (India)
985–994. c Indian Academy of Sciences. Comparative study of spectroscopic properties of the low-lying electronic states of 2,4-pentadien-1-iminium cation and its N-substituted analogues. ANJAN CHATTOPADHYAY. Department of Chemistry, Birla Institute of Technology and Science (BITS), Pilani –KK Birla Goa Campus,.
The Benguela upwelling system lying off southern Africa's west ...
African Journals Online (AJOL)
spamer
The Benguela upwelling system lying off southern. Africa's west coast is one of the world's four main upwelling systems (Parrish et al. 1983). Its physical characteristics have been summarized by Nelson and. Hutchings (1983), Shannon (1985) and Shannon and. Nelson (1996). It encompasses the entire region that.
Galois Theory of Differential Equations, Algebraic Groups and Lie Algebras
Put, Marius van der
1999-01-01
The Galois theory of linear differential equations is presented, including full proofs. The connection with algebraic groups and their Lie algebras is given. As an application the inverse problem of differential Galois theory is discussed. There are many exercises in the text.
The Lie algebra of the N=2-string
International Nuclear Information System (INIS)
Kugel, K.
2006-01-01
The theory of generalized Kac-Moody algebras is a generalization of the theory of finite dimensional simple Lie algebras. The physical states of some compactified strings give realizations of generalized Kac-Moody algebras. For example the physical states of a bosonic string moving on a 26 dimensional torus form a generalized Kac-Moody algebra and the physical states of a N=1 string moving on a 10 dimensional torus form a generalized Kac-Moody superalgebra. A natural question is whether the physical states of the compactified N=2-string also realize such an algebra. In this thesis we construct the Lie algebra of the compactified N=2-string, study its properties and show that it is not a generalized Kac-Moody algebra. The Fock space of a N=2-string moving on a 4 dimensional torus can be described by a vertex algebra constructed from a rational lattice of signature (8,4). Here 6 coordinates with signature (4,2) come from the matter part and 6 coordinates with signature (4,2) come from the ghost part. The physical states are represented by the cohomology of the BRST-operator. The vertex algebra induces a product on the vector space of physical states that defines the structure of a Lie algebra on this space. This Lie algebra shares many properties with generalized Kac-Moody algebra but we will show that it is not a generalized Kac-Moody algebra. (orig.)
Lie-transformed action principle for classical plasma dynamics
International Nuclear Information System (INIS)
Kaufman, A.N.
1984-06-01
The Lie transform for a single particle in a wave is embedded in a Lagrangian action principle for self-consistent plasma dynamics. Variation of the action then yields the Vlasov equation for the oscillation-center distribution, the ray equations and amplitude transport for the wave, and the Poisson equation for the quasistatic field
Essays in the history of Lie groups and algebraic groups
Borel, Armand
2001-01-01
Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools in the theory of automorphic forms. The author looks at their development, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. Starting from Lie's theory of local analytic transformation groups and early work on Lie algebras, he follows the process of globalization in its two main frameworks: differential geometry and topology on one hand, algebraic geometry on the other. Chapters II to IV are devoted to the former, Chapters V to VIII, to the latter. The essays in the first part of the book survey various proofs of the full reducibility of linear representations of \\mathbf{SL}_2{(\\mathbb{C})}, the contributions of H. Weyl to representations and invariant theory for semisimple Lie groups, and con...
Lie-theoretic generating relations of two variable Laguerre polynomials
International Nuclear Information System (INIS)
Khan, Subuhi; Yasmin, Ghazala
2002-07-01
Generating relations involving two variable Lagneire polynonuals L n (x, y) are derived. The process involves the construction of a three dimensional Lie algebra isomorphic to special linear algebra sl(2) with the help of Weisner's method by giving suitable interpretations to the index n of the polynomials L n (x, y). (author)
Phantoms and Fabrications: Young Children's Detection of Implausible Lies.
Lee, Kang; Cameron, Catherine Ann; Doucette, Joanne; Talwar, Victoria
2002-01-01
Five experiments examined whether young children believe a lie tellers' implausible statement about a misdeed when the statement violates their developing knowledge of the reality- fantasy distinction. Findings suggested that 5- and 6-year-olds tended to report that the individual making the implausible statement actually committed the misdeed; 3-…
On approximation of Lie groups by discrete subgroups
Indian Academy of Sciences (India)
1991 Mathematics Subject Classification. 22E40. 1. Introduction and statement of results ... In 1951, Kuranishi proved the following remarkable theorem (Corollary, page 64 of [13]). Theorem 1.4. Let G be a Lie group ... have the following result of Kuranishi (Theorem 2 of [13]). Theorem 1.6 (The approximation theorem).
Exceptional Lie groups, E-infinity theory and Higgs Boson
International Nuclear Information System (INIS)
El-Okaby, Ayman A.
2008-01-01
In this paper we study the correlation between El-Naschie's exceptional Lie groups hierarchies and his transfinite E-infinity space-time theory. Subsequently this correlation is used to calculate the number of elementary particles in the standard model, mass of the Higgs Bosons and some coupling constants
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
Directory of Open Access Journals (Sweden)
Luigi Accardi
2009-05-01
Full Text Available The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible processes.
Applications of Lie algebras in the solution of dynamic problems
International Nuclear Information System (INIS)
Fellay, G.
1983-01-01
The purpose of this paper is to give some insight into the Lie-algebras and their applications. The first part introduces the elementary properties of such algebras, e.g. nilpotency, solvability, etc. The second part shows how to use the demonstrated theory for solving differential equations with time-dependent coefficients. (Auth.)
Evaluation of the Dutch subsurface geoportal: What lies beneath?
Lance, K.T.; Georgiadou, Y.; Bregt, A.K.
2011-01-01
This paper focuses on a geoportal from a “what lies beneath” perspective. It analyses processes of budgeting, planning, monitoring, performance measurement, and reporting of the national initiative titled Digital Information of the Dutch Subsurface (known by its Dutch acronym, DINO). The study is
Lie Algebraic Treatment of Linear and Nonlinear Beam Dynamics
Energy Technology Data Exchange (ETDEWEB)
Alex J. Dragt; Filippo Neri; Govindan Rangarajan; David Douglas; Liam M. Healy; Robert D. Ryne
1988-12-01
The purpose of this paper is to present a summary of new methods, employing Lie algebraic tools, for characterizing beam dynamics in charged-particle optical systems. These methods are applicable to accelerator design, charged-particle beam transport, electron microscopes, and also light optics. The new methods represent the action of each separate element of a compound optical system, including all departures from paraxial optics, by a certain operator. The operators for the various elements can then be concatenated, following well-defined rules, to obtain a resultant operator that characterizes the entire system. This paper deals mostly with accelerator design and charged-particle beam transport. The application of Lie algebraic methods to light optics and electron microscopes is described elsewhere (1, see also 44). To keep its scope within reasonable bounds, they restrict their treatment of accelerator design and charged-particle beam transport primarily to the use of Lie algebraic methods for the description of particle orbits in terms of transfer maps. There are other Lie algebraic or related approaches to accelerator problems that the reader may find of interest (2). For a general discussion of linear and nonlinear problems in accelerator physics see (3).
Lectures on Lie algebras and their representations: 1
International Nuclear Information System (INIS)
Dobrev, V.K.
1988-05-01
The paper is based on sixteen lectures given by the author in April-June 1988 at the International Centre for Theoretical Physics, Trieste. It covers the basic material on the structure, classification and representations of Lie algebras G associated with a (generalized) Cartan matrix, or Kac-Moody algebras for short. 16 refs, tabs
On split Lie algebras with symmetric root systems
Indian Academy of Sciences (India)
, Spain. E-mail: ajesus.calderon@uca.es. MS received 24 May 2007. Abstract. We develop techniques of connections of roots for split Lie algebras with symmetric root systems. We show that any of such algebras L is of the form L = U +. ∑.
Core excitations to the low lying states of thallium isotopes
International Nuclear Information System (INIS)
Gruenbaum, L.; Tomaselli, M.; Herold, D.
1977-08-01
The admixture of core excitations to the low lying states of A = 203 and A = 205 thallium isotopes has been calculated. The wave functions obtained reproduce the electromagnetic properties as well as the hyperfine splittings and the isomershifts of both thallium isotopes. (orig.) [de
The Lie algebra of the N=2-string
Energy Technology Data Exchange (ETDEWEB)
Kugel, K.
2006-07-01
The theory of generalized Kac-Moody algebras is a generalization of the theory of finite dimensional simple Lie algebras. The physical states of some compactified strings give realizations of generalized Kac-Moody algebras. For example the physical states of a bosonic string moving on a 26 dimensional torus form a generalized Kac-Moody algebra and the physical states of a N=1 string moving on a 10 dimensional torus form a generalized Kac-Moody superalgebra. A natural question is whether the physical states of the compactified N=2-string also realize such an algebra. In this thesis we construct the Lie algebra of the compactified N=2-string, study its properties and show that it is not a generalized Kac-Moody algebra. The Fock space of a N=2-string moving on a 4 dimensional torus can be described by a vertex algebra constructed from a rational lattice of signature (8,4). Here 6 coordinates with signature (4,2) come from the matter part and 6 coordinates with signature (4,2) come from the ghost part. The physical states are represented by the cohomology of the BRST-operator. The vertex algebra induces a product on the vector space of physical states that defines the structure of a Lie algebra on this space. This Lie algebra shares many properties with generalized Kac-Moody algebra but we will show that it is not a generalized Kac-Moody algebra. (orig.)
A note on the Lie symmetries of complex partial differential ...
Indian Academy of Sciences (India)
Abstract. Folklore suggests that the split Lie-like operators of a complex partial differential equa- tion are symmetries of the split system of real partial differential equations. However, this is not the case generally. We illustrate this by using the complex heat equation, wave equation with dissipation, the nonlinear Burgers ...
Cluster X-varieties, amalgamation, and Poisson-Lie groups
DEFF Research Database (Denmark)
Fock, V. V.; Goncharov, A. B.
2006-01-01
In this paper, starting from a split semisimple real Lie group G with trivial center, we define a family of varieties with additional structures. We describe them as cluster χ-varieties, as defined in [FG2]. In particular they are Poisson varieties. We define canonical Poisson maps of these varie...
Group formalism of Lie transformations to time-fractional partial ...
Indian Academy of Sciences (India)
physics pp. 849–860. Group formalism of Lie transformations to time-fractional partial differential equations. T BAKKYARAJ and R SAHADEVAN∗. Ramanujan .... Basic definitions. To be self-contained, we briefly provide some basic definitions of fractional calculus below. (i) Riemann–Liouville fractional integral. It is well ...
Evaluation of Theft, Lying, and Fighting in Adolescence.
Keltikangas-Jarvinen, Liisa; Lindeman, Marjaana
1997-01-01
Age and gender differences in evaluating three immoral behaviors (theft, lying, and fighting) were studied with 2,594 Finnish preadolescents, midadolescents, and late adolescents. Boys accepted all immoral acts better than girls, and acceptance of these behaviors was highest in middle adolescence. There was flexible use of different rationales for…
On Split Lie Algebras with Symmetric Root Systems
Indian Academy of Sciences (India)
... and any I j a well described ideal of , satisfying [ I j , I k ] = 0 if j ≠ k . Under certain conditions, the simplicity of is characterized and it is shown that is the direct sum of the family of its minimal ideals, each one being a simple split Lie algebra with a symmetric root system and having all its nonzero roots connected.
On split Lie algebras with symmetric root systems
Indian Academy of Sciences (India)
... family of its minimal ideals, each one being a simple split Lie algebra with a symmetric root system and having all its nonzero roots connected. Author Affiliations. Antonio J Calderón Martín1. Departamento de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Cádiz, Spain. Dates. Manuscript received: 24 May 2007 ...
Correlation functions from a unified variational principle: Trial Lie groups
Energy Technology Data Exchange (ETDEWEB)
Balian, R., E-mail: roger.balian@cea.fr [Institut de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette cedex (France); Vénéroni, M. [Institut de Physique Nucléaire, Université Paris-Sud and IN2P3-CNRS, F-91406 Orsay cedex (France)
2015-11-15
Time-dependent expectation values and correlation functions for many-body quantum systems are evaluated by means of a unified variational principle. It optimizes a generating functional depending on sources associated with the observables of interest. It is built by imposing through Lagrange multipliers constraints that account for the initial state (at equilibrium or off equilibrium) and for the backward Heisenberg evolution of the observables. The trial objects are respectively akin to a density operator and to an operator involving the observables of interest and the sources. We work out here the case where trial spaces constitute Lie groups. This choice reduces the original degrees of freedom to those of the underlying Lie algebra, consisting of simple observables; the resulting objects are labeled by the indices of a basis of this algebra. Explicit results are obtained by expanding in powers of the sources. Zeroth and first orders provide thermodynamic quantities and expectation values in the form of mean-field approximations, with dynamical equations having a classical Lie–Poisson structure. At second order, the variational expression for two-time correlation functions separates–as does its exact counterpart–the approximate dynamics of the observables from the approximate correlations in the initial state. Two building blocks are involved: (i) a commutation matrix which stems from the structure constants of the Lie algebra; and (ii) the second-derivative matrix of a free-energy function. The diagonalization of both matrices, required for practical calculations, is worked out, in a way analogous to the standard RPA. The ensuing structure of the variational formulae is the same as for a system of non-interacting bosons (or of harmonic oscillators) plus, at non-zero temperature, classical Gaussian variables. This property is explained by mapping the original Lie algebra onto a simpler Lie algebra. The results, valid for any trial Lie group, fulfill
Directory of Open Access Journals (Sweden)
Debra Lewis
2013-05-01
Full Text Available Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual of the symmetry group. Setting aside the structures – symplectic, Poisson, or variational – generating dynamical systems from such functions highlights the common features of their construction and analysis, and supports the construction of analogous functions in non-Hamiltonian settings. If the symmetry group is nonabelian, the functions are invariant only with respect to the isotropy subgroup of the given parameter value. Replacing the parametrized family of functions with a single function on the product manifold and extending the action using the (coadjoint action on the algebra or its dual yields a fully invariant function. An invariant map can be used to reverse the usual perspective: rather than selecting a parametrized family of functions and finding their critical points, conditions under which functions will be critical on specific orbits, typically distinguished by isotropy class, can be derived. This strategy is illustrated using several well-known mechanical systems – the Lagrange top, the double spherical pendulum, the free rigid body, and the Riemann ellipsoids – and generalizations of these systems.
Fixed point theory of parametrized equivariant maps
Ulrich, Hanno
1988-01-01
The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles. It thus addresses equivariant point set topology as well as equivariant homotopy theory. Notable tools are vertical Jaworowski criterion and an equivariant transversality theorem. The second part presents equivariant cohomology theory showing that equivariant fixed point theory is isomorphic to equivariant stable cohomotopy theory. A crucial result is the sum decomposition of the equivariant fixed point index which provides an insight into the structure of the theory's coefficient group. Among the consequences of the sum formula are some Borsuk-Ulam theorems as well as some folklore results on compact Lie-groups. The final section investigates the fixed point index in equivariant K-theory. The book is intended to be a thorough and comprehensive presentation of its subjec...
Expansion in finite simple groups of Lie type
Tao, Terence
2015-01-01
Expander graphs are an important tool in theoretical computer science, geometric group theory, probability, and number theory. Furthermore, the techniques used to rigorously establish the expansion property of a graph draw from such diverse areas of mathematics as representation theory, algebraic geometry, and arithmetic combinatorics. This text focuses on the latter topic in the important case of Cayley graphs on finite groups of Lie type, developing tools such as Kazhdan's property (T), quasirandomness, product estimates, escape from subvarieties, and the Balog-Szemerédi-Gowers lemma. Applications to the affine sieve of Bourgain, Gamburd, and Sarnak are also given. The material is largely self-contained, with additional sections on the general theory of expanders, spectral theory, Lie theory, and the Lang-Weil bound, as well as numerous exercises and other optional material.
Jacobson-Witt algebras and Lie-admissible algebras
International Nuclear Information System (INIS)
Tomber, M.L.
1981-01-01
For any field PHI of characteristics p > 0 and integer m greater than or equal to 1, there is a Jacobson-Witt algebra which is a Lie algebra. In this paper, all flexible Lie-admissible algebras U, such that U - is a Jacobson-Witt algebra W/sub m/(p), are determined. For any W/sub m/(p), p > 2 there is exactly one such U and it is isomorphic to W/sub m/(p). There are two non-isomorphic algebras U such that U - is isomorphic to W 1 (2), and there are no algebras U with U - isomorphic to W/sub m/(2), m > 1
Explicitly integrable polynomial Hamiltonians and evaluation of Lie transformations
International Nuclear Information System (INIS)
Shi, J.; Yan, Y.T.
1993-01-01
We have found that any homogeneous polynomial can be written as a sum of integrable polynomials of the same degree, with which each associated polynomial Hamiltonian is integrable, and the associated Lie transformation can be evaluated exactly. An integrable polynomial factorization has thus been developed to convert a sympletic map in the form of a Dragt-Finn factorization into a product of exactly evaluable Lie transformations associated with integrable polynomials. Having a small number of factorization bases of integrable polynomials enables one to consider a factorization with the use of high-order symplectic integrators so that a symplectic map can always be evaluated with the desired accuracy. The results are significant for studying the long-term stability of beams in accelerators
A representation independent propagator. Pt. 1. Compact Lie groups
International Nuclear Information System (INIS)
Tome, W.A.
1995-01-01
Conventional path integral expressions for propagators are representation dependent. Rather than having to adapt each propagator to the representation in question, it is shown that for compact Lie groups it is possible to introduce a propagator that is representation independent. For a given set of kinematical variables this propagator is a single function independent of any particular choice of fiducial vector, which monetheless, correctly propagates each element of the coherent state representation associated with these kinematical variables. Although the configuration space is in general curved, nevertheless the lattice phase-space path integral for the representation independent propagator has the form appropriate to flat space. To illustrate the general theory a representation independent propagator is explicitly constructed for the Lie group SU(2). (orig.)
Being honest about dishonesty: correlating self-reports and actual lying
Halevy, R.; Shalvi, S.; Verschuere, B.
2014-01-01
Does everybody lie? A dominant view is that lying is part of everyday social interaction. Recent research, however, has claimed, that robust individual differences exist, with most people reporting that they do not lie, and only a small minority reporting very frequent lying. In this study, we found
A note on generalized skew derivations on Lie ideals
Indian Academy of Sciences (India)
MOHAMMAD ASHRAF
2018-04-24
Apr 24, 2018 ... Abstract. Let R be a prime ring, Z(R) its center, C its extended centroid, L a Lie ideal of R, F a generalized skew derivation associated with a skew derivation d and automorphism α. Assume that there exist t ≥ 1 and m, n ≥ 0 fixed integers such that vu = umF(uv)tun for all u,v ∈ L. Then it is shown that either ...
The Benguela upwelling ecosystem lies adjacent to the south ...
African Journals Online (AJOL)
denise
The Benguela upwelling ecosystem lies adjacent to the south-western coast of Africa, from southern Angola. (15°S) to Cape Agulhas (35°S; Fig. 1). Ecologically, it is split into separate northern and southern sub- systems by a zone of intense perennial upwelling near. Lüderitz (26–27.5°S; Shannon 1985). As is charac-.
Lie Symmetries of Birational Maps Preserving Genus 0 Fibrations
Llorens, Mireia; Mañosa, Víctor
2015-01-01
We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the global dynamics of these maps. Using this approach, the dynamics of several maps is described. In particular we are able to give, for particular examples, the explicit expression of the rotation number function, and the set of periods of the considered maps. Peer Revi...
Approximate Homomorphisms and Derivations on Normed Lie Triple Systems
Directory of Open Access Journals (Sweden)
Hark-Mahn Kim
2014-01-01
Full Text Available We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj/r0=s∑j=1pf(xj+t∑j=1df(yj, where r0,s, and t are nonzero real numbers. As a results, we generalize some stability results concerning this equation.
Orbits in real Z(m)-graded semisimple Lie algebras
Czech Academy of Sciences Publication Activity Database
Le, Hong-Van
2011-01-01
Roč. 21, č. 2 (2011), s. 285-305 ISSN 0949-5932 R&D Projects: GA AV ČR IAA100190701 Institutional research plan: CEZ:AV0Z10190503 Keywords : Real Z-sub-m-graded Lie algebra * nilpotent elements * homogeneous elements Subject RIV: BA - General Mathematics Impact factor: 0.296, year: 2011 http://www.heldermann.de/JLT/JLT21/JLT212/jlt21013.htm
6th Hilbert's problem and S.Lie's infinite groups
International Nuclear Information System (INIS)
Konopleva, N.P.
1999-01-01
The progress in Hilbert's sixth problem solving is demonstrated. That became possible thanks to the gauge field theory in physics and to the geometrical treatment of the gauge fields. It is shown that the fibre bundle spaces geometry is the best basis for solution of the problem being discussed. This talk has been reported at the International Seminar '100 Years after Sophus Lie' (Leipzig, Germany)
Hierarchy of kissing numbers for exceptional Lie symmetry groups in high energy physics
International Nuclear Information System (INIS)
El Naschie, M.S.
2008-01-01
We are constructing a hierarchy of kissing numbers representing singular contact points of hyper-spheres in exceptional Lie symmetry groups lattice arrangement embedded in the 26 dimensional bosonic strings spacetime. That way we find a total number of points and dimensions equal to 548. This is 52 more than the order of E 8 E 8 of heterotic string theory and leads to the prediction of 69 elementary particles at an energy scale under 1 T. In other words, our mathematical model predicts nine more particles than what is currently experimentally known to exist in the standard model of high energy physics namely only 60. The result is thus in full agreement with all our previous theoretical findings
Power Absorption by Closely Spaced Point Absorbers in Constrained Conditions
DEFF Research Database (Denmark)
De Backer, G.; Vantorre, M.; Beels, C.
2010-01-01
, representing the wave climate at Westhinder on the Belgian Continental Shelf The impact of slamming, stroke and force restrictions on the power absorption is evaluated and optimal PTO parameters are determined For multiple bodies optimal control parameters (CP) are not only dependent on the incoming waves...... are applied to two array layouts consisting of 12 buoys in a staggered grid and 21 buoys in an aligned grid Compared to DO, it was found that individually optimising the CP increased the energy absorption at Westhinder with about 16-18% for the two layouts, respectively...
Sinkala, W.
2011-01-01
Two approaches based on Lie group analysis are employed to obtain the closed-form solution of a partial differential equation derived by Francis A. Longstaff [J Financial Econom 1989;23:195-224] for the price of a discount bond in the double-square-root model of the term structure.
The Relative Lie Algebra Cohomology of the Weil Representation
Ralston, Jacob
We study the relative Lie algebra cohomology of so(p,q) with values in the Weil representation piof the dual pair Sp(2k, R) x O(p,q ). Using the Fock model defined in Chapter 2, we filter this complex and construct the associated spectral sequence. We then prove that the resulting spectral sequence converges to the relative Lie algebra cohomology and has E0 term, the associated graded complex, isomorphic to a Koszul complex, see Section 3.4. It is immediate that the construction of the spectral sequence of Chapter 3 can be applied to any reductive subalgebra g ⊂ sp(2k(p + q), R). By the Weil representation of O( p,|q), we mean the twist of the Weil representation of the two-fold cover O(pq)[special character omitted] by a suitable character. We do this to make the center of O(pq)[special character omitted] act trivially. Otherwise, all relative Lie algebra cohomology groups would vanish, see Proposition 4.10.2. In case the symplectic group is large relative to the orthogonal group (k ≥ pq), the E 0 term is isomorphic to a Koszul complex defined by a regular sequence, see 3.4. Thus, the cohomology vanishes except in top degree. This result is obtained without calculating the space of cochains and hence without using any representation theory. On the other hand, in case k BMR], this author wrote with his advisor John Millson and Nicolas Bergeron of the University of Paris.
The Technologies of Lie in Local Cultures of Western Siberia
Directory of Open Access Journals (Sweden)
Evgeny A. Naumenko
2016-12-01
Full Text Available The article is devoted to the political phenomenon – "technology of lie" that emerged of Jesuit and quasi-Catholic culture of Europe at the Middle Ages. The article also considers penetration of this phenomenon into Western Siberia through representatives of exile. According to author, the technologies of lie were created as a result of distortion of Catholicism, departure from a true spiritual component. This policy was considered by its carriers as a competition form. The author considers that misstatement of Orthodoxy was possible to a lesser extent because of its traditional dogmatism; the Russian imperial power did not use technologies of lie at the wide nation-wide and geopolitical level. The phenomenon existed only in local cultures. In article the social and economic and political reasons of forming of these technologies in the Russian Empire and Western Siberia, their manifestations and a consequence are analyzed. As examples cases of anti-Semitic "bloody slanders" are given in the European Russia and a defiant line item of the Jesuit organization in a Siberian exile. The author notes that the considered tactics has been directed to some religious groups and to certain representatives of society and the government. As a rule, none of the victims were ready to "information attacks" and lost them, losing not only property and positions, but also life sometimes. The author emphasizes that this practice has been adopted by part of the Russian revolutionary atheists. There is approved action of these technologies in terms of the Siberian penal servitude and the exile. Later the experience gained by them has formed the basis of fabricated political processes in case of the Stalin the regime.
On the intersection of irreducible components of the space of finite-dimensional Lie algebras
International Nuclear Information System (INIS)
Gorbatsevich, Vladimir V
2012-01-01
The irreducible components of the space of n-dimensional Lie algebras are investigated. The properties of Lie algebras belonging to the intersection of all the irreducible components of this kind are studied (these Lie algebras are said to be basic or founding Lie algebras). It is proved that all Lie algebras of this kind are nilpotent and each of these Lie algebras has an Abelian ideal of codimension one. Specific examples of founding Lie algebras of arbitrary dimension are described and, to describe the Lie algebras in general, we state a conjecture. The concept of spectrum of a Lie algebra is considered and some of the most elementary properties of the spectrum are studied. Bibliography: 6 titles.
Everybody Else Is Doing It: Exploring Social Transmission of Lying Behavior
Mann, Heather; Garcia-Rada, Ximena; Houser, Daniel; Ariely, Dan
2014-01-01
Lying is a common occurrence in social interactions, but what predicts whether an individual will tell a lie? While previous studies have focused on personality factors, here we asked whether lying tendencies might be transmitted through social networks. Using an international sample of 1,687 socially connected pairs, we investigated whether lying tendencies were related in socially connected individuals, and tested two moderators of observed relationships. Participants recruited through a massive open online course reported how likely they would be to engage in specific lies; a friend or relative responded to the same scenarios independently. We classified lies according to their beneficiary (antisocial vs. prosocial lies), and their directness (lies of commission vs. omission), resulting in four unique lying categories. Regression analyses showed that antisocial commission, antisocial omission, and prosocial commission lying tendencies were all uniquely related in connected pairs, even when the analyses were limited to pairs that were not biologically related. For antisocial lies of commission, these relationships were strongest, and were moderated by amount of time spent together. Randomly paired individuals from the same countries were also related in their antisocial commission lying tendencies, signifying country-level norms. Our results indicate that a person's lying tendencies can be predicted by the lying tendencies of his or her friends and family members. PMID:25333483
Everybody else is doing it: exploring social transmission of lying behavior.
Directory of Open Access Journals (Sweden)
Heather Mann
Full Text Available Lying is a common occurrence in social interactions, but what predicts whether an individual will tell a lie? While previous studies have focused on personality factors, here we asked whether lying tendencies might be transmitted through social networks. Using an international sample of 1,687 socially connected pairs, we investigated whether lying tendencies were related in socially connected individuals, and tested two moderators of observed relationships. Participants recruited through a massive open online course reported how likely they would be to engage in specific lies; a friend or relative responded to the same scenarios independently. We classified lies according to their beneficiary (antisocial vs. prosocial lies, and their directness (lies of commission vs. omission, resulting in four unique lying categories. Regression analyses showed that antisocial commission, antisocial omission, and prosocial commission lying tendencies were all uniquely related in connected pairs, even when the analyses were limited to pairs that were not biologically related. For antisocial lies of commission, these relationships were strongest, and were moderated by amount of time spent together. Randomly paired individuals from the same countries were also related in their antisocial commission lying tendencies, signifying country-level norms. Our results indicate that a person's lying tendencies can be predicted by the lying tendencies of his or her friends and family members.
Advances in geometry and Lie algebras from supergravity
Frè, Pietro Giuseppe
2018-01-01
This book aims to provide an overview of several topics in advanced Differential Geometry and Lie Group Theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject. .
Decay modes of high-lying excitations in nuclei
International Nuclear Information System (INIS)
Gales, S.
1993-01-01
Inelastic, charge-exchange and transfer reactions induced by hadronic probes at intermediate energies have revealed a rich spectrum of new high-lying modes embedded in the nuclear continuum. The investigation of their decay properties is believed to be a severe test of their microscopic structure as predicted by nuclear models. In addition the degree of damping of these simple modes in the nuclear continuum can be obtained by means of the measured branching ratios to the various decay channels as compared to statistical model calculations. As illustrative examples the decay modes of high-spin single-particle states and isovector resonances are discussed. (author) 23 refs.; 14 figs
Decay properties of high-lying single-particles modes
Beaumel, D.; Fortier, S.; Galès, S.; Guillot, J.; Langevin-Joliot, H.; Laurent, H.; Maison, J. M.; Vernotte, J.; Bordewijck, J.; Brandenburg, S.; Krasznahorkay, A.; Crawley, G. M.; Massolo, C. P.; Renteria, M.; Khendriche, A.
1996-02-01
The neutron decay of high-lying single-particle states in 64Ni, 90Zr, 120Sn and 208Pb excited by means of the (α, 3He) reaction has been investigated at 120 MeV incident energy using the multidetector EDEN. The characteristics of this reaction are studied using inclusive spectra and angular correlation analysis. The structure located between 11 and 15 MeV in 91Zr, and between 8 and 12 MeV excitation energy in 209Pb display large departures from a pure statistical decay. The corresponding non-statistical branching ratios are compared with the results of two theoretical calculations.
Quantum stochastic calculus and representations of Lie superalgebras
Eyre, Timothy M W
1998-01-01
This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.
Nonlinear analysis of flexible plates lying on elastic foundation
Directory of Open Access Journals (Sweden)
Trushin Sergey
2017-01-01
Full Text Available This article describes numerical procedures for analysis of flexible rectangular plates lying on elastic foundation. Computing models are based on the theory of plates with account of transverse shear deformations. The finite difference energy method of discretization is used for reducing the initial continuum problem to finite dimensional problem. Solution procedures for nonlinear problem are based on Newton-Raphson method. This theory of plates and numerical methods have been used for investigation of nonlinear behavior of flexible plates on elastic foundation with different properties.
Spectroscopic study of low-lying 16N levels
International Nuclear Information System (INIS)
Bardayan, Daniel W.; O'Malley, Patrick; Blackmon, Jeff C.; Chae, K.Y.; Chipps, K.; Cizewski, J.A.; Hatarik, Robert; Jones, K.L.; Kozub, R. L.; Matei, Catalin; Moazen, Brian; Nesaraja, Caroline D.; Pain, Steven D.; Paulauskas, Stanley; Peters, W.A.; Pittman, S.T.; Schmitt, Kyle; Shriner, J.F. Jr.; Smith, Michael Scott
2008-01-01
The magnitude of the 15N(n,gamma)16N reaction rate in asymptotic giant branch stars depends directly on the neutron spectroscopic factors of low-lying 16N levels. A new study of the 15N(d,p)16N reaction is reported populating the ground and first three excited states in 16N. The measured spectroscopic factors are near unity as expected from shell model calculations, resolving a long-standing discrepancy with earlier measurements that had never been confirmed or understood. Updated 15N(n,gamma)16N reaction rates are presented
Surfaces immersed in Lie algebras associated with elliptic integrals
International Nuclear Information System (INIS)
Grundland, A M; Post, S
2012-01-01
The objective of this work is to adapt the Fokas–Gel’fand immersion formula to ordinary differential equations written in the Lax representation. The formalism of generalized vector fields and their prolongation structure is employed to establish necessary and sufficient conditions for the existence and integration of immersion functions for surfaces in Lie algebras. As an example, a class of second-order, integrable, ordinary differential equations is considered and the most general solutions for the wavefunctions of the linear spectral problem are found. Several explicit examples of surfaces associated with Jacobian and P-Weierstrass elliptic functions are presented. (paper)
Bagger-Lambert Theory for General Lie Algebras
Gomis, Jaume; Milanesi, Giuseppe; Russo, Jorge G.
2008-01-01
We construct the totally antisymmetric structure constants f^{ABCD} of a 3-algebra with a Lorentzian bi-invariant metric starting from an arbitrary semi-simple Lie algebra. The structure constants f^{ABCD} can be used to write down a maximally superconformal 3d theory that incorporates the expected degrees of freedom of multiple M2 branes, including the "center-of-mass" mode described by free scalar and fermion fields. The gauge field sector reduces to a three dimensional BF term, which under...
High-lying doubly excited states of H-
International Nuclear Information System (INIS)
Ho, Y.K.
1990-01-01
We report a calculation for 1 S e resonance parameters in electron-hydrogen scattering converging on the N = 4 to N = 9 hydrogen thresholds. Resonance energy positions and widths are calculated by using a method of complex coordinate rotations, with quantum numbers K, T, N and n given to each resonant state. Results are compared with the recent R-matrix calculations for resonances below the N = 4 and N = 5 hydrogen thresholds, and with the hyperspherical coordinate calculations for resonances associated with the N = 6 - 9 hydrogen thresholds. The present results are also used to interpret the grandparent model for high-lying doubly excited two-electron atomic systems. (author)
't Hooft's solution for arbitrary semisimple Lie group
International Nuclear Information System (INIS)
Leznov, A.N.; Mukhtarov, M.A.
1990-07-01
The generalization of the 't Hooft's A 1 solution for every semisimple Lie algebra is found. The solution depends on r-independent chains of linear self-dual systems (Δ s α ) z = (Δ s+1 α ) y -bar, (Δ s α ) y -bar = -(Δ s+1 α ) z (1 ≤ α ≤ r); the length of α chain is equal to 2ω α + 1, where ω α are the indexes of the semisimple algebra and r is its rank. In the special case the O(4)-invariant solutions with instanton number equal to one arises. (author). 6 refs
The Higgs mass derived from the U(3) Lie group
DEFF Research Database (Denmark)
Trinhammer, Ole; Bohr, Henrik; Jensen, Mogens O Stibius
2015-01-01
The Higgs mass value is derived from a Hamiltonian on the Lie group U(3) where we relate strong and electroweak energy scales. The baryon states of nucleon and delta resonances originate in specific Bloch wave degrees of freedom coupled to a Higgs mechanism which also gives rise to the usual gauge...... in scattering cross-sections for negative pions on protons, in photoproduction on neutrons, in neutron diffraction dissociation experiments and in invariant mass spectra of protons and negative pions in B-decays. The fundamental predictions are based on just one length scale and the fine structure constant...
Quantization, non-locality and lie-admissible formulations
International Nuclear Information System (INIS)
Broadbridge, P.
1982-01-01
If higher order wave equations are reduced to first order by supplementary conditions, then quadratic Hamiltonians of the most general type will emerge. Even then, for several reasons elaborated below, canonical quantization can still not be applied consistently. The benefit of clinging to a Lagrangian description of non-localized phenomena is then questionable. Non canonical quantization procedures should be considered. Some initial attempts at Lie-admissible quantization are examined critically here, and it is concluded that further recourse to experiment seems to be necessary
Supersymmetric quantum corrections and Poisson-Lie T-duality
International Nuclear Information System (INIS)
Assaoui, F.; Lhallabi, T.; Abdus Salam International Centre for Theoretical Physics, Trieste
2000-07-01
The quantum actions of the (4,4) supersymmetric non-linear sigma model and its dual in the Abelian case are constructed by using the background superfield method. The propagators of the quantum superfield and its dual and the gauge fixing actions of the original and dual (4,4) supersymmetric sigma models are determined. On the other hand, the BRST transformations are used to obtain the quantum dual action of the (4,4) supersymmetric nonlinear sigma model in the sense of Poisson-Lie T-duality. (author)
A topological Maslov index for 3-graded Lie groups
DEFF Research Database (Denmark)
Neeb, K.-H.; Ørsted, Bent
2005-01-01
Motivated by the generalization of the Maslov index to tube domains and by numerous applications of related index function in infinite-dimensional situations, we describe in this paper a topologically oriented approach to an index function generalizing the Maslov index for bounded symmetric domai...... of tube type to a variety of infinite-dimensional situations containing in particular the class of all bounded symmetric domains of tube type in Banach spaces. The framework is that of 3-graded Banach-Lie groups and corresponding Jordan triple systems....
Lie groups, differential equations, and geometry advances and surveys
2017-01-01
This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.
Representations of centrally extended Lie superalgebra psl(2|2)
Energy Technology Data Exchange (ETDEWEB)
Matsumoto, Takuya, E-mail: t.matsumoto@uu.nl [Institute for Theoretical Physics and Spinoza Institute, Utrecht University, Leuvenlaan 4, 3854 CE Utrecht (Netherlands); Molev, Alexander, E-mail: alexander.molev@sydney.edu.au [School of Mathematics and Statistics, University of Sydney, NSW 2006 (Australia)
2014-09-15
The symmetries provided by representations of the centrally extended Lie superalgebra psl(2|2) are known to play an important role in the spin chain models originated in the planar anti-de Sitter/conformal field theory correspondence and one-dimensional Hubbard model. We give a complete description of finite-dimensional irreducible representations of this superalgebra thus extending the work of Beisert which deals with a generic family of representations. Our description includes a new class of modules with degenerate eigenvalues of the central elements. Moreover, we construct explicit bases in all irreducible representations by applying the techniques of Mickelsson–Zhelobenko algebras.
Similarity analysis of differential equations by Lie group.
Na, T. Y.; Hansen, A. G.
1971-01-01
Methods for transforming partial differential equations into forms more suitable for analysis and solution are investigated. The idea of Lie's infinitesimal contact transformation group is introduced to develop a systematic method which involves mostly algebraic manipulations. A thorough presentation of the application of this general method to the problem of similarity analysis in a broader sense - namely, the similarity between partial and ordinary differential equations, boundary value and initial value problems, and nonlinear and linear equations - is given with new and very general methods evolved for deriving the possible groups of transformations.
International Workshop "Groups, Rings, Lie and Hopf Algebras"
2003-01-01
The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.
International Nuclear Information System (INIS)
Huber, Alfred
2007-01-01
In this paper, Lie's method is used to calculate solutions of a third order non-linear system of partial differential equations (nPDE). In our previous paper [Huber A. Appl Math Comput 2005;166/2:464], we have applied the tanh-method to generate solutions, in this case special class of solutions in form of traveling wave results (single soliton solutions as well as class of irregular solutions). Therefore, general families of solutions are of basic interest. Moreover, a complete characterization of the group properties is given. We determine the Lie point symmetry vector fields and calculate similarity 'ansaetze' for the first time. Further, we also derive a few non-linear transformations and some similarity solutions are obtained. The main purpose for the application of Lie's method is of course the fact that we are able to calculate class of general solutions which do not underlie such strong restrictions as in the case of traveling wave 'ansaetze'. Otherwise, it is necessary to perform a group analysis in order to improve the solution manifold by an alternative way. Moreover, a criterion for the integrability via the Painleve-conjecture is given and further, families of solutions in term of elliptic functions are derived via Lie's approach for the first time. Although no extensive studies are known up to this time a physical background of the considered system cannot exclude in future
How often do animals lie about their intentions? An experimental test.
Laidre, Mark E
2009-03-01
During conflicts, animals may perform displays that convey information about their future antagonistic behavior. Although theory once predicted that such signals of "intent" would be utterly susceptible to dishonesty, empirical studies have established that animals sometimes do signal their intentions. It remains unclear, however, what level of honesty exists within such signals. Here I report interactive-model experiments designed to expose instances of falsified intent and to reveal how frequently signalers within an invertebrate population lie about their impending hostile actions. Hermit crabs (Pagurus bernhardus) were given the opportunity to aggressively threaten an approaching model, and their subsequent behavior was then examined after the model fled from them or probed them to the point of imminent collision. Discrepancies between an individual's advertised intention and what it actually did next were infrequent. If the model fled, nearly all crabs remained in place, regardless of whether they had initially threatened. If the model probed, crabs that threatened reliably stood their ground, thus backing up their threat, whereas those that did not threaten tended to back down and retreat. Much of what has been regarded as "lying about intent" in prior nonexperimental studies may actually represent uncontrolled noise, especially recipient-response dynamics.
On generalized Melvin solution for the Lie algebra E6
International Nuclear Information System (INIS)
Bolokhov, S.V.; Ivashchuk, V.D.
2017-01-01
A multidimensional generalization of Melvin's solution for an arbitrary simple Lie algebra G is considered. The gravitational model in D dimensions, D ≥ 4, contains n 2-forms and l ≥ n scalar fields, where n is the rank of G. The solution is governed by a set of n functions H s (z) obeying n ordinary differential equations with certain boundary conditions imposed. It was conjectured earlier that these functions should be polynomials (the so-called fluxbrane polynomials). The polynomials H s (z), s = 1,.., 6, for the Lie algebra E 6 are obtained and a corresponding solution for l = n = 6 is presented. The polynomials depend upon integration constants Q s , s = 1,.., 6. They obey symmetry and duality identities. The latter ones are used in deriving asymptotic relations for solutions at large distances. The power-law asymptotic relations for E 6 -polynomials at large z are governed by the integer-valued matrix ν = A -1 (I + P), where A -1 is the inverse Cartan matrix, I is the identity matrix and P is a permutation matrix, corresponding to a generator of the Z 2 -group of symmetry of the Dynkin diagram. The 2-form fluxes Φ s , s = 1,.., 6, are calculated. (orig.)
Close Air Support versus Close Combat Attack
2012-12-06
consequence when discussing the two different processes of close air support and close combat attack. This section focuses on service culture. Understanding...According to a RAND study written by Carl Builder, the Air Force “could be said to worship at the altar of technology.”67 These are not what Hofstede...characteristics that are highly prized in a culture and thus serve as models for behavior,” people like Billy Mitchell, Hap Arnold, Tooey Spaatz to name a
Closed-loop control of magnetotactic bacteria
Khalil, I.S.M.; Pichel, Marc Philippe; Pichel, M.P.; Abelmann, Leon; Misra, Sarthak
Realization of point-to-point positioning of a magnetotactic bacterium (MTB) necessitates the application of a relatively large magnetic field gradients to decrease its velocity in the vicinity of a reference position. We investigate an alternative closed-loop control approach to position the MTB.
Analytical Lie-algebraic solution of a 3D sound propagation problem in the ocean
Energy Technology Data Exchange (ETDEWEB)
Petrov, P.S., E-mail: petrov@poi.dvo.ru [Il' ichev Pacific Oceanological Institute, 43 Baltiyskaya str., Vladivostok, 690041 (Russian Federation); Prants, S.V., E-mail: prants@poi.dvo.ru [Il' ichev Pacific Oceanological Institute, 43 Baltiyskaya str., Vladivostok, 690041 (Russian Federation); Petrova, T.N., E-mail: petrova.tn@dvfu.ru [Far Eastern Federal University, 8 Sukhanova str., 690950, Vladivostok (Russian Federation)
2017-06-21
The problem of sound propagation in a shallow sea with variable bottom slope is considered. The sound pressure field produced by a time-harmonic point source in such inhomogeneous 3D waveguide is expressed in the form of a modal expansion. The expansion coefficients are computed using the adiabatic mode parabolic equation theory. The mode parabolic equations are solved explicitly, and the analytical expressions for the modal coefficients are obtained using a Lie-algebraic technique. - Highlights: • A group-theoretical approach is applied to a problem of sound propagation in a shallow sea with variable bottom slope. • An analytical solution of this problem is obtained in the form of modal expansion with analytical expressions of the coefficients. • Our result is the only analytical solution of the 3D sound propagation problem with no translational invariance. • This solution can be used for the validation of the numerical propagation models.
Beneduce, Roberto
2015-01-01
Based on narratives of asylum-seekers from sub-Saharan Africa in northern Italy, in this article I analyze the narrative strategies used by immigrants to meet the eligibility criteria established by asylum law. For many of them, this means "arranging" biographical details within what I call "a moral economy of lying." The first question I discuss is what types of experience and 'subject positions' these narrative strategies reveal or generate. I then examine the arbitrariness and the bureaucratic violence of the asylum evaluation process, and the role of these procedures in the making of nation-language and current technologies of citizenship. Finally, I consider the politics of testification, recognition, and memory these discourses and practices combine to shape. I analyze these issues from an historical point of view of the politics of identity, truth, and falsehood as imposed in a recent past by colonizers onto the colonized.
Lying and executive control: an experimental investigation using ego depletion and goal neglect.
Debey, Evelyne; Verschuere, Bruno; Crombez, Geert
2012-06-01
This study investigated whether lying requires executive control using a reaction-time based lie test. We hypothesized that (1) goal neglect induced by a long response-stimulus interval (RSI; 5-8s) would make lying harder relative to a short RSI (.2 s) that promoted attentional focus, and (2) participants whose executive control resources were depleted by an initial executive control task would experience more difficulty to lie than control participants who performed a task that required little executive control. Across two experiments, the ego depletion manipulation did not reliably affect lying. Both experiments revealed that the cognitive cost associated with lying was larger for the long compared to the short RSI. This finding supports the idea that lying requires more executive control than truth telling. The manipulation of RSI may provide a simple, yet effective means to improve lie detection accuracy. Copyright © 2012 Elsevier B.V. All rights reserved.
Non-solvable contractions of semisimple Lie algebras in low dimension
International Nuclear Information System (INIS)
Campoamor-Stursberg, R
2007-01-01
The problem of non-solvable contractions of Lie algebras is analysed. By means of a stability theorem, the problem is shown to be deeply related to the embeddings among semisimple Lie algebras and the resulting branching rules for representations. With this procedure, we determine all deformations of indecomposable Lie algebras having a nontrivial Levi decomposition onto semisimple Lie algebras of dimension n ≤ 8, and obtain the non-solvable contractions of the latter class of algebras
Third order Lie map for the sextupole magnets
International Nuclear Information System (INIS)
Lu Jianqin
2001-01-01
Sextupole magnets are usually used in beam analyzing systems with high resolving power, micro-beam systems and storage rings of high energy accelerators. It is well known that sextupoles are equivalent to the drift spaces under first order approximation. Therefore, this kind of optical elements is often used to correct the second order aberrations of beam optics systems. When it is necessary to calculate the third order aberrations of a system, or to correct the third order aberrations with octupole magnets, one should know the analytical expressions of the third order terms of sextupoles. Lie algebraic methods were used in the analysis of relativistic particle trajectories in the sextupole magnets, and the solutions of third order approximation in the six dimensional phase spaces were obtained
Decay properties of high-lying single-particles modes
Energy Technology Data Exchange (ETDEWEB)
Beaumel, D. [Institut de Physique Nucleaire, 91 - Orsay (France); Fortier, S. [Institut de Physique Nucleaire, 91 - Orsay (France); Gales, S. [Institut de Physique Nucleaire, 91 - Orsay (France); Guillot, J. [Institut de Physique Nucleaire, 91 - Orsay (France); Langevin-Joliot, H. [Institut de Physique Nucleaire, 91 - Orsay (France); Laurent, H. [Institut de Physique Nucleaire, 91 -Orsay (France); Maison, J.M. [Institut de Physique Nucleaire, 91 - Orsay (France); Vernotte, J. [Institut de Physique Nucleaire, 91 - Orsay (France); Bordewijck, J. [Kernfysisch Versneller Instituut, 9747 Groningen (Netherlands); Brandenburg, S. [Kernfysisch Versneller Instituut, 9747 Groningen (Netherlands); Krasznahorkay, A. [Kernfysisch Versneller Instituut, 9747 Groningen (Netherlands); Crawley, G.M. [NSCL, Michigan State University, East Lansing, MI 48824 (United States); Massolo, C.P. [Universitad Nacional de La Plata, 1900 La Plata (Argentina); Renteria, M. [Universitad Nacional de La Plata, 1900 La Plata (Argentina); Khendriche, A. [University of Tizi-Ouzou, Tizi-Ouzou (Algeria)
1996-03-18
The neutron decay of high-lying single-particle states in {sup 64}Ni, {sup 90}Zr, {sup 120}Sn and {sup 208}Pb excited by means of the ({alpha},{sup 3}He) reaction has been investigated at 120 MeV incident energy using the multidetector EDEN. The characteristics of this reaction are studied using inclusive spectra and angular correlation analysis. The structure located between 11 and 15 MeV in {sup 91}Zr, and between 8 and 12 MeV excitation energy in {sup 209}Pb display large departures from a pure statistical decay. The corresponding non-statistical branching ratios are compared with the results of two theoretical calculations. (orig.).
Dual Solutions for Nonlinear Flow Using Lie Group Analysis.
Directory of Open Access Journals (Sweden)
Muhammad Awais
Full Text Available `The aim of this analysis is to investigate the existence of the dual solutions for magnetohydrodynamic (MHD flow of an upper-convected Maxwell (UCM fluid over a porous shrinking wall. We have employed the Lie group analysis for the simplification of the nonlinear differential system and computed the absolute invariants explicitly. An efficient numerical technique namely the shooting method has been employed for the constructions of solutions. Dual solutions are computed for velocity profile of an upper-convected Maxwell (UCM fluid flow. Plots reflecting the impact of dual solutions for the variations of Deborah number, Hartman number, wall mass transfer are presented and analyzed. Streamlines are also plotted for the wall mass transfer effects when suction and blowing situations are considered.
Invariants and labels for Lie-Poisson Systems
International Nuclear Information System (INIS)
Thiffeault, J.L.; Morrison, P.J.
1998-04-01
Reduction is a process that uses symmetry to lower the order of a Hamiltonian system. The new variables in the reduced picture are often not canonical: there are no clear variables representing positions and momenta, and the Poisson bracket obtained is not of the canonical type. Specifically, we give two examples that give rise to brackets of the noncanonical Lie-Poisson form: the rigid body and the two-dimensional ideal fluid. From these simple cases, we then use the semidirect product extension of algebras to describe more complex physical systems. The Casimir invariants in these systems are examined, and some are shown to be linked to the recovery of information about the configuration of the system. We discuss a case in which the extension is not a semidirect product, namely compressible reduced MHD, and find for this case that the Casimir invariants lend partial information about the configuration of the system
Deep-lying hole states in the optical model
International Nuclear Information System (INIS)
Klevansky, S.P.; Lemmer, R.H.
1982-01-01
The strength function for deep-lying hole states in an optical potential is studied by the method of Green's functions. The role of isospin is emphasized. It is shown that, while the main trends of the experimental data on hole states in isotopes of Sn and Pd can be described by an energy independent optical potential, intermediate structures in these data indicate the specific nuclear polarization effects have to be included. This is done by introducing doorway states of good isospin into the optical model potential. Such states consist of neutron hole plus proton core vibrations as well as more complicated excitations that are analog states of proton hole plus neutron core vibrations of the parent nuclear system. Specific calculations for 115 Sn and 103 Pd give satisfactory fits to the strength function data using optical model and doorway state parameters that are reasonable on physical grounds
The geometry of lie algebras and broken SO(6) symmetries
International Nuclear Information System (INIS)
Lawrence, T.R.
2001-10-01
Non-linear realisations of the groups SU(2), SO(1,4) and SO(2,4) are analysed, described by the coset spaces SU(2)/U(1), SO(1,4)/SO(1,3) and SO(2,4)/SO(1,3) x SO(1,1). The Lie algebras of certain special unitary and special orthogonal groups are studied and their projection operators are determined in order to facilitate the above analyses, in particular that of SO(2,4)/SO(l,3) x SO(1,1). The analysis consists of determining the transformation properties of the Goldstone bosons, constructing the most general possible Lagrangian for the realisations and finding the metric of the coset space. (author)
Euler equations on finite-dimensional Lie coalgebras, arising in problems of mathematical physics
Bogoyavlenskii, O. I.
1992-02-01
CONTENTSIntroductionChapter I. Euler equations on finite-dimensional Lie coalgebras, arising in physical problems §1. Classical investigations of the Euler equations of the rotation of an n-dimensional rigid body §2. Euler equations on Lie coalgebras, connected with the dynamics of a rigidbody around a fixed point and with the dynamics of a rigid body in an ideal incompressible fluid §3. Algebraic and Hamiltonian structure of the equations of rotation of a satellite around the mass centre §4. Physical applications of Euler equations on the direct sum of n Lie coalgebras SO(3)Chapter II. Integration of the dynamics of an arbitrary rigid body in the Newtonian gravitational field with an arbitrary quadratic potential §1. History of the problem §2. Integrability in the Liouville sense of the equations of rotation of a rigid body around a fixed mass centre in the field of remote attractive objects §3. Integrability in the Liouville sense of the equations of the translational-rotational dynamics of a rigid body in the Newtonian gravitational field with an arbitrary quadratic potential §4. The integrability of the dynamics in terms of Riemann theta-functions §5. Dynamics of a symmetric rigid body in the Newtonian gravitational field with an arbitrary quadratic potential §6. Integrable cases of equations of rotation of a rigid body in non-linear gravitational fields §7. Integrability of the n-dimensional analogue of the problem of rotation of a rigid body in the Newtonian gravitational field with an arbitrary quadratic potential §8. Lagrangian structure of the Kirchhoff equationsChapter III. General integrable problems of classical mechanics §1. Introduction and summary §2. Complete integrability of the dynamics of a C1-central configuration §3. General integrable problems of classical mechanics §4. Hidden symmetry of the inertial dynamics §5. Reductions and integrable cases of rotation of a Ck-central configuration around a fixed point in Newtonian
Lie-isotopic generalization of the Poincare symmetry: Classical formulation
International Nuclear Information System (INIS)
Santilli, R.M.
1991-03-01
This paper is devoted to the origin and methodology of the several phenomenological predictions of deviations from Einstein's Special Relativity and related Lorentz symmetry in the behaviour of the lifetime of unstable hadrons at different speeds, that exist in the literature since the early '60's. After reviewing the background phenomenological literature, we outline the Lie-isotopic symmetry of the emerging deformations of the Minkowski metric introduced in a preceding paper, and extend the results to the construction of the full Poincare-isotopic symmetry. The local isomorphism of the Poincare-isotopic symmetry with the conventional symmetry is proved for all possible topology-preserving deformations of the Minkowski metric. In this way we establish that the phenomenological predictions of deviations recalled earlier must be specifically referred to Einstein's Special Relativity, but they cannot be referred to the Lorentz (or to the Poincare) symmetry which remains exact. Particular attention is devoted to the proof of the compatibility of the exact validity of the Special Relativity for the center-of-mass trajectory of a hadron in a particle accelerator, with conceivable deviations from the same relativity in the interior structural problem. For completeness, the analysis is complemented with a few remarks on the gravitational profile. First, we review the pioneering Lie-isotopic generalization of Einstein's Gravitation worked out by Gasperini, which possesses precisely a locally Lorentz-isotopic structure. We then restrict this theory to the interior gravitational problem in order to achieve compatibility with the particle setting. The paper concludes with a review of the need to finally conduct direct experimental measures of the lifetime of unstable hadrons at different speeds, in order to finally resolve whether Einsteins's Special and General Relativities are locally valid in the interior of hadrons, or structurally more general relativities must be worked
Towards a New Linguistic Model for Detecting Political Lies
Directory of Open Access Journals (Sweden)
Амр М Эль-Завави
2017-12-01
Full Text Available The present study addresses the problem of how the two US presidential candidates Donald Trump and Hillary Clinton use statements judged to be false by the Politifact site while delivering their campaign speeches. Two corpora of Clinton’s and Trump’s alleged lies were compiled. Each corpus contained 16 statements judged to be false or ridiculously untrue (‘pants on fire’ by the Pulitzer Prize Winner site Politifact. Some statements were accompanied by the video recordings where they appeared; others had no video recordings affiliated because they are either tweets or their events had not been recorded on Youtube or elsewhere. The present research made use of CBCA (Criteria-based Content Analysis but as a stepping stone for building a new model of detecting lies in political discourse to suit the characteristics of campaign discourse. This furnished the qualitative dimension of the research. As for the quantitative dimension, data were analyzed using software, namely LIWC (Linguistic Inquiry & Word Count, and also focused on the content analysis of the deception cues that can be matched with the results obtained from computerized findings. When VSA (Voice Stress Analysis was required, Praat was used. Statistical analyses were occasionally applied to reach highly accurate results. The study concluded that the New Model (NM is not context-sensitive, being a quantitative one, and is thus numerically oriented in its decisions. Moreover, when qualitative analysis intervenes, especially in examining Politifact rulings, context plays a crucial role in passing judgements on deceptive vs. non-deceptive discourse.
The localized longitudinal index theorem for Lie groupoids and the van Est map
Pflaum, M.J.; Posthuma, H.; Tang, X.
2015-01-01
We define the "localized index" of longitudinal elliptic operators on Lie groupoids associated with Lie algebroid cohomology classes. We derive a topological expression for these numbers using the algebraic index theorem for Poisson manifolds on the dual of the Lie algebroid. Underlying the
Lying and executive control: an experimental investigation using ego depletion and goal neglect
Debey, E.; Verschuere, B.; Crombez, G.
2012-01-01
This study investigated whether lying requires executive control using a reaction-time based lie test. We hypothesized that (1) goal neglect induced by a long response-stimulus interval (RSI; 5-8 s) would make lying harder relative to a short RSI (.2 s) that promoted attentional focus, and (2)
The socio-rhetorical force of 'truth talk' and lies: The case of 1 John ...
African Journals Online (AJOL)
This article canvassed Greek and Roman sources for discussions concerning truth talk and lies. It has investigated what social historians and/or anthropologists are saying about truth talking and lying and has developed a model that will examine the issue of truth and lying in socio-religious terms as defined by the ...
Verschuere, B.; in 't Hout, W.
2016-01-01
The cognitive view on deception holds that lying typically requires additional mental effort as compared to truth telling. Psychopathy, however, has been associated with swift and even compulsive lying, leading us to explore the ease and compulsive nature of lying in psychopathic offenders. We
The Right to Do Wrong: Lying to Parents among Adolescents and Emerging Adults
Jensen, Lene Arnett; Arnett, Jeffrey Jensen; Feldman, S. Shirley; Cauffman, Elizabeth
2004-01-01
In this study, 229 high school students and 261 college students evaluated the acceptability of lying to parents under 19 different circumstances where a person's motive for lying differed. Students also indicated the frequency with which they had lied to their parents about diverse issue such as friends, dates, and money. Results indicated that…
van der Noort, V.
2009-01-01
This thesis is written in the subfield of mathematics known as representation theory of real reductive Lie groups. Let G be a Lie group in the Harish-Chandra class with maximal compact subgroup K and Lie algebra g. Let Omega be a connected complex manifold. By a family of G-representations
A direct link between the Lie group SU(3) and the singular ...
Indian Academy of Sciences (India)
connection between the Lie groups SU(3) and a singular curve in 3 is thus established. The key step needed to do this was to treat the Lie group as a quantum system and determine its phase space. Keywords. Lie groups; singularities; classical phase space. PACS Nos 02.20.Qs; 45.20.-d. 1. Introduction. It has long been ...
Popliger, Mina; Talwar, Victoria; Crossman, Angela
2011-01-01
Children tell prosocial lies for self- and other-oriented reasons. However, it is unclear how motivational and socialization factors affect their lying. Furthermore, it is unclear whether children's moral understanding and evaluations of prosocial lie scenarios (including perceptions of vignette characters' feelings) predict their actual prosocial…
Katarina Anthony
2015-01-01
Alongside the CMS Pixel Luminosity Telescope (PLT) – installed last month (see here) – lie diamond detectors. No ordinary gems, these lab-grown diamonds will be playing a vital role in Run 2: differentiating signals from collision products with those from the beam background. The BCM detector's green "c-shaped" printed circuit board is mounted on the PLT/BCM carbon-fibre carriage ready for installation. Earlier this year, the CMS BRIL project installed beam condition monitors (BCM) at the heart of the CMS detector. Designed to measure the online luminosity and beam background as close as possible to the LHC beam pipe, the BCMs use radiation-hard diamonds to differentiate between background and collision signals. The BCM also protects the CMS silicon trackers from damaging beam losses, by aborting the beam if the signal currents measured are above an acceptable threshold. These new BCMs are designed with Run 2 bunches in mind. &ldq...
DEFF Research Database (Denmark)
Fausing, Bent
2013-01-01
Investigations in the close-up and its meaning regarding nearness, abstraction and transparency. Face, facelike and animism are also major key-words in thsi article... . I have always been fascinated with the close-up, not as an end, but a filter of opportunities to open up for and nearness...... of transcendence, associations and memories. The close-up is not the end, it rather in my view to be regarded as a beginning of different perceptions...
Ma, Fengling; Evans, Angela D.; Liu, Ying; Luo, Xianming; Xu, Fen
2015-01-01
Prior studies have demonstrated that social-cognitive factors such as children's false-belief understanding and parenting style are related to children's lie-telling behaviors. The present study aimed to investigate how earlier forms of theory-of-mind understanding contribute to children's lie-telling as well as how parenting practices are related…
The Convex Coordinates of the Symmedian Point
Boyd, J. N.; Raychowdhury, P. N.
2006-01-01
In this note, we recall the convex (or barycentric) coordinates of the points of a closed triangular region. We relate the convex and trilinear coordinates of the interior points of the triangular region. We use the relationship between convex and trilinear coordinates to calculate the convex coordinates of the symmedian point of the triangular…
Combination of activity and lying/standing data for detection of oestrus in cows
DEFF Research Database (Denmark)
Jónsson, Ragnar Ingi; Blanke, Mogens; Poulsen, Niels Kjølstad
2009-01-01
is measured by a sensor attached to the hind leg of the cow. Activity and lying/standing behaviour are modelled as a discrete event system, constructed using automata theory. In an attempt to estimate a biologically relevant lying balance, a lying balance indicator is constructed and is influencing transition......The objective of this study is to develop an algorithm for detecting oestrus in dairy cows from measurements of activity and duration of lying/standing periods. Each cows activity is measured by a sensor attached to the neck that returns an activity index for each hour. Duration of lying...
Debey, E.; Ridderinkhof, K.R.; de Houwer, J.; Schryver, M.; Verschuere, B.
2015-01-01
Lying takes more time than telling the truth. Because lying involves withholding the truth, this "lie effect" has been related to response inhibition. We investigated the response inhibition hypothesis of lying using the delta-plot method: A leveling-off of the standard increase of the lie effect
White, Amy E
2010-09-01
In this paper, I argue that companies who use functional Magnetic Resonance Imaging (fMRI) scans for lie detection encounter the same basic ethical stumbling blocks as commercial companies that market traditional polygraphs. Markets in traditional voluntary polygraphs are common and fail to elicit much uproar among ethicists. Thus, for consistency, if markets in polygraphs are ethically unproblematic, markets using fMRIs for lie detection are equally as acceptable. Furthermore, while I acknowledge two substantial differences between the ethical concerns involving polygraphs and fMRI lie detection, I argue that these concerns can be overcome and do not lead to the conclusion that markets in fMRI lie detection are ethically dubious. It is my conclusion that voluntary markets in fMRI lie detection can be justified by consumer autonomy and should be allowed to persist.
Sex and personality traits influence the difference between time taken to tell the truth or lie.
Farrow, Tom F D; Reilly, Rebecca; Rahman, Towhida A; Herford, Amy E; Woodruff, Peter W R; Spence, Sean A
2003-10-01
A necessary component of lying is the withholding of a truthful response. Hence, lying may be conceptualised as involving the inhibition of an initial, automatic response (the truth) while an alternative response (the lie) is generated. We investigated response times to visually and auditorially presented questions probing recent episodic memory, when subjects answered questions truthfully or with lies. We also investigated whether the absolute response times or difference between time taken to tell the truth or lie was affected by participants' sex or correlated with personality scores on the Eysenck Personality Questionnaire Revised-Short Scale. 61 subjects answered the same 36 questions five times. The first time involved answering all questions truthfully, which allowed post hoc analysis of whether subjects had been consistent in their lying and truth-telling on the following four occasions. These latter four occasions involved answering all questions (one each with 'truth' or 'lie') for both types of presentation. Regardless of type of presentation or subjects' sex, subjects took approximately 200 msec. longer to lie than to tell the truth in response to each question (pEysenck 'Neuroticism' scores. There was also a significant correlation for women between mean individual lie-minus-truth time to auditorially presented questions and Eysenck 'Lie' scores. These preliminary data suggest that response time is systematically longer when telling a lie and that personality variables may play a part in this process.
Influence of social factors on the relation between lie-telling and children's cognitive abilities.
Talwar, Victoria; Lavoie, Jennifer; Gomez-Garibello, Carlos; Crossman, Angela M
2017-07-01
Lie-telling may be part of a normative developmental process for children. However, little is known about the complex interaction of social and cognitive factors related to this developmental behavior. The current study examined parenting style, maternal exposure to stressors, and children's cognitive abilities in relation to children's antisocial lie-telling behavior in an experimental setting. Children (3-6years, N=157) participated in a modified temptation resistance paradigm to elicit spontaneous lies. Results indicate that high authoritative parenting and high inhibitory control interact to predict a lower propensity to lie, but those who did lie had better semantic leakage control. This suggests that although children's lie-telling may be normative during early development, the relation to children's cognitive abilities can be moderated by responsive parenting behaviors that discourage lying. Copyright © 2017 Elsevier Inc. All rights reserved.
Lying-on position of total skin electron therapy
International Nuclear Information System (INIS)
Wu Jiaming; Leung, Stephen Wan; Wang Chongjong; Chui Chenshou
1997-01-01
Purpose: A technique for whole-body electron therapy with the patient in a lying position has been developed. This technique allows Total Skin Electron Therapy (TSET) for those patients who were previously unable to be treated in a conventional standing position. Methods and Materials: This study was carried out on a Varian 2100C linear accelerator with a 6 MeV high dose rate electron beam. The collimator was open to a width of 36 x 36 cm. There were two main procedures, with six dual-field techniques: 1) two static AP/PA vertical dual fields (VDF): the patient laid on the floor transversely under the collimator when the gantry was in a vertical position. A 0.6 cm acrylic board was placed 15 cm away from the patient, then the gantry was rotated 25 deg. clockwise and counterclockwise to treat the patient in the supine and prone positions, respectively. 2) Four oblique junction fields (OJF): the patient laid on the floor in a prone and supine position parallel to the wave guide at (227 - body thickness x tan 60 deg. ) cm away from the vertical axis of the gantry, then the gantry was rotated 60 deg. toward the patient. A 0.6 cm acrylic board was placed 15 cm away from the patient perpendicular to the beam. The patient was move along the field central axis. It allowed the patient's body to be within the 160 cm effective treatment profile. When the patient's body axis move 5 deg. toward the lateral side of the field central axis, we could obtain a better dose distribution in the vertex of the scalp and the soles of the feet. The angle of the VDF was measured by chamber detectors to obtain the effective treatment profile. Likewise, the optimal profile for the OJF was determined by the same procedures. The Rando phantom was used to measure the superficial dose of the body. Results: The dimension of effective treatment profile for the VDF was 188 x 72 cm at 87% dose level. For the OJF, we had to move the patient along the field central axis to obtain the effective
Low-lying isomeric levels in Cu75
Daugas, J. M.; Faul, T.; Grawe, H.; Pfützner, M.; Grzywacz, R.; Lewitowicz, M.; Achouri, N. L.; Angélique, J. C.; Baiborodin, D.; Bentida, R.; Béraud, R.; Borcea, C.; Bingham, C. R.; Catford, W. N.; Emsallem, A.; de France, G.; Grzywacz, K. L.; Lemmon, R. C.; Lopez Jimenez, M. J.; de Oliveira Santos, F.; Regan, P. H.; Rykaczewski, K.; Sauvestre, J. E.; Sawicka, M.; Stanoiu, M.; Sieja, K.; Nowacki, F.
2010-03-01
Isomeric low-lying states were identified and investigated in the Cu75 nucleus. Two states at 61.8(5)- and 128.3(7)-keV excitation energies with half-lives of 370(40)- and 170(15)-ns were assigned as Cu75m1 and Cu75m2, respectively. The measured half-lives combined with the recent spin assignment of the ground state allow one to deduce tentatively spin and parity of the two isomers and the dominant multipolarities of the isomeric transitions with respect to the systematics of the Cu isotopes. Shell-model calculations using an up-to-date effective interaction reproduce the evolution of the 1/2-, 3/2-, and 5/2- states for the neutron-rich odd-mass Cu isotopes when filling the νg9/2. The results indicate a significant change in the nuclear structure in this region, where a single-particle 5/2- state coexists with more and more collective 3/2- and 1/2- levels at low excitation energies.
Bagger-Lambert theory for general Lie algebras
International Nuclear Information System (INIS)
Gomis, Jaume; Milanesi, Giuseppe; Russo, Jorge G.
2008-01-01
We construct the totally antisymmetric structure constants f ABCD of a 3-algebra with a Lorentzian bi-invariant metric starting from an arbitrary semi-simple Lie algebra. The structure constants f ABCD can be used to write down a maximally superconformal 3d theory that incorporates the expected degrees of freedom of multiple M2 branes, including the 'center-of-mass' mode described by free scalar and fermion fields. The gauge field sector reduces to a three dimensional BF term, which underlies the gauge symmetry of the theory. We comment on the issue of unitarity of the quantum theory, which is problematic, despite the fact that the specific form of the interactions prevent the ghost fields from running in the internal lines of any Feynman diagram. Giving an expectation value to one of the scalar fields leads to the maximally supersymmetric 3d Yang-Mills Lagrangian with the addition of two U(1) multiplets, one of them ghost-like, which is decoupled at large g YM .
The parastatistics Fock space and explicit Lie superalgebra representations
International Nuclear Information System (INIS)
Stoilova, N I
2013-01-01
It is known that the defining triple relations of m pairs of parafermion operators f i ± and n pairs of paraboson operators b j ± with relative parafermion relations can be considered as defining relations for the Lie superalgebra osp(2m+1|2n) in terms of 2(m + n) generators. With the common hermiticity conditions, this means that the parastatistics Fock space of order p corresponds to an infinite-dimensional unitary irreducible representation V(p) of osp(2m+1|2n), with lowest weight (−(p/2),…,−(p/2)|(p/2),…,(p/2)). These representations (also in the simplest case m = n = 1) had never been constructed due to computational difficulties, despite their importance. In the present paper we partially solve the problem in the general case using group theoretical techniques, in which the u(m|n) subalgebra of osp(2m+1|2n) plays a crucial role: a set of Gelfand–Zetlin patterns of u(m|n) can be used to label the basis vectors of V(p). An explicit and elegant construction of these representations V(p) for m = n = 1, and the actions or matrix elements of the osp(3|2) generators are given. (paper)
The parastatistics Fock space and explicit Lie superalgebra representations
Stoilova, N. I.
2013-11-01
It is known that the defining triple relations of m pairs of parafermion operators f_i^+/- and n pairs of paraboson operators b_j^+/- with relative parafermion relations can be considered as defining relations for the Lie superalgebra \\mathfrak {osp}(2m+1|2n) in terms of 2(m + n) generators. With the common hermiticity conditions, this means that the parastatistics Fock space of order p corresponds to an infinite-dimensional unitary irreducible representation V(p) of \\mathfrak {osp}(2m+1|2n), with lowest weight (-\\frac{p}{2},\\ldots ,- \\frac{p}{2}|\\frac{p}{2},\\ldots ,\\frac{p}{2}). These representations (also in the simplest case m = n = 1) had never been constructed due to computational difficulties, despite their importance. In the present paper we partially solve the problem in the general case using group theoretical techniques, in which the \\mathfrak {u}(m|n) subalgebra of \\mathfrak {osp}(2m+1|2n) plays a crucial role: a set of Gelfand-Zetlin patterns of \\mathfrak {u}(m|n) can be used to label the basis vectors of V(p). An explicit and elegant construction of these representations V(p) for m = n = 1, and the actions or matrix elements of the \\mathfrak {osp}(3|2) generators are given.
Nonlinear dimensionality reduction of data lying on the multicluster manifold.
Meng, Deyu; Leung, Yee; Fung, Tung; Xu, Zongben
2008-08-01
A new method, which is called decomposition-composition (D-C) method, is proposed for the nonlinear dimensionality reduction (NLDR) of data lying on the multicluster manifold. The main idea is first to decompose a given data set into clusters and independently calculate the low-dimensional embeddings of each cluster by the decomposition procedure. Based on the intercluster connections, the embeddings of all clusters are then composed into their proper positions and orientations by the composition procedure. Different from other NLDR methods for multicluster data, which consider associatively the intracluster and intercluster information, the D-C method capitalizes on the separate employment of the intracluster neighborhood structures and the intercluster topologies for effective dimensionality reduction. This, on one hand, isometrically preserves the rigid-body shapes of the clusters in the embedding process and, on the other hand, guarantees the proper locations and orientations of all clusters. The theoretical arguments are supported by a series of experiments performed on the synthetic and real-life data sets. In addition, the computational complexity of the proposed method is analyzed, and its efficiency is theoretically analyzed and experimentally demonstrated. Related strategies for automatic parameter selection are also examined.
On the low-lying states of CuO
Bagus, P. S.; Nelin, C. J.; Bauschlicher, C. W., Jr.
1984-01-01
Self consistent field and correlated wave functions have been computed for the ground and for several low-lying states of CuO. The ground state is X(2)PI and the lowest excited state, at approximately 8,000/cm above X(2)PI, is a previously unidentified 2-sigma(+) state. The separation of these states is compared to that for the similar states of KO and is analysed in terms of integrals between orbitals of the separated free ions. A classification of the states of the molecule based on states of Cu(+) and O(-) which leads to a division into manifolds of states arising from Cu(+) 3d(10) and Cu(+) 3d(9) 4s(1) is considered. It is predicted that the state of the 3d(9) 4s(1) manifold are 10,000 to 30,000/cm above the ground state and assign the observed A2-sigma(+) state at 16,500/cm to this manifold.
Low-lying dipole response in stable and unstable nuclei
International Nuclear Information System (INIS)
Brenna, M; Colò, G; Bortignon, P F; Pozzi, G; Roca-Maza, X; Mizuyama, K
2013-01-01
The presence of some low-lying (pygmy) strength in the dipole spectrum, at excitation energy well below the isovector giant dipole energy, has been confirmed in several nuclei. The microscopic structure and the nature of these states, in particular the possible collective nature and the isospin character, are currently under strong debate. In addition, a relation with the isovector properties of the equation of state of nuclear matter, such as the symmetry energy or its slope, has been proposed. We present a detailed analysis of Skyrme Hartree–Fock plus random phase approximation (RPA) predictions for both the isoscalar and isovector dipole responses, of different neutron-rich nuclei ( 68 Ni, 132 Sn and 208 Pb). All of them show a low-energy peak that increases in magnitude with increasing values of the slope of the symmetry energy at saturation. Eventually, the collectivity associated with the RPA states contributing to this peak is more pronounced in the isoscalar than in the isovector channel. (paper)
Naji, Majid; Murugkar, Sangeeta; Anis, Hanan
2014-05-05
Single femtosecond laser-based coherent anti-Stokes Raman scattering (CARS) microscopy, using a photonic crystal fiber (PCF) pumped in the near-IR to generate a supercontinuum for the Stokes source, is rapidly being adopted as a cost-effective approach. A PCF with two closely-lying zero dispersion wavelengths is a popular choice for the Stokes source, but it is often limited to imaging lipids. A polarization-maintaining PCF with two far-lying zero dispersion wavelengths offers important advantages for polarization CARS microscopy, and for CARS imaging in the fingerprint region. This PCF fiber, though commercially available, has limited use for CARS microscopy in the C-H bond region. The main problem is that the supercontinuum from this fiber is typically noisier than that from a standard PCF with two closely-lying zero dispersion wavelengths. To overcome this, we determined the optimum operating conditions for generating a low-noise supercontinuum out of a PCF with two far-lying zero dispersion wavelengths, in terms of the input parameters of the excitation pulse. We measured the relative intensity noise (RIN) of the Stokes and the corresponding CARS signal as a function of the input laser parameters in this fiber. We showed that the results of CARS imaging using this alternate fiber are comparable to those achieved using the standard fiber, for input laser pulse conditions of low average power, narrow pulse width with slightly positive chirp, and polarization direction parallel to the slow axis of the selected fiber.
Diffusion of dust particles from a point-source above ground level
International Nuclear Information System (INIS)
Hassan, M.H.A.; Eltayeb, I.A.
1998-10-01
A pollutant of small particles is emitted by a point source at a height h above ground level in an atmosphere in which a uni-directional wind speed, U, is prevailing. The pollutant is subjected to diffusion in all directions in the presence of advection and settling due to gravity. The equation governing the concentration of the pollutant is studied with the wind speed and the different components of diffusion tensor are proportional to the distance above ground level and the source has a uniform strength. Adopting a Cartesian system of coordinates in which the x-axis lies along the direction of the wind velocity, the z-axis is vertically upwards and the y-axis completes the right-hand triad, the solution for the concentration c(x,y,z) is obtained in closed form. The relative importance of the components of diffusion along the three axes is discussed. It is found that for any plane y=constant (=A), c(x,y,z) is concentrated along a curve of ''extensive pollution''. In the plane A=0, the concentration decreases along the line of extensive pollution as we move away from the source. However, for planes A≅0, the line of extensive pollution possesses a point of accumulation, which lies at a nonzero value of x. As we move away from the plane A=0, the point of accumulation moves laterally away from the plane x=0 and towards the plane z=0. The presence of the point of accumulation is entirely due to the presence of lateral diffusion. (author)
Riemann's and Helmholtz-Lie's problems of space from Weyl's relativistic perspective
Bernard, Julien
2018-02-01
I reconstruct Riemann's and Helmholtz-Lie's problems of space, from some perspectives that allow for a fruitful comparison with Weyl. In Part II. of his inaugural lecture, Riemann justifies that the infinitesimal metric is the square root of a quadratic form. Thanks to Finsler geometry, I clarify both the implicit and explicit hypotheses used for this justification. I explain that Riemann-Finsler's kind of method is also appropriate to deal with indefinite metrics. Nevertheless, Weyl shares with Helmholtz a strong commitment to the idea that the notion of group should be at the center of the foundations of geometry. Riemann missed this point, and that is why, according to Weyl, he dealt with the problem of space in a "too formal" way. As a consequence, to solve the problem of space, Weyl abandoned Riemann-Finsler's methods for group-theoretical ones. However, from a philosophical point of view, I show that Weyl and Helmholtz are in strong opposition. The meditation on Riemann's inaugural lecture, and its clear methodological separation between the infinitesimal and the finite parts of the problem of space, must have been crucial for Weyl, while searching for strong epistemological foundations for the group-theoretical methods, avoiding Helmholtz's unjustified transition from the finite to the infinitesimal.
Directory of Open Access Journals (Sweden)
Yun Casalilla, Bartolomé
2014-12-01
Full Text Available This essay presents the transnational approach to history from an early modern historian’s perspective. It starts with a short historiographical review of the recent trends in this field, showing how the transnational approach has been used predominantly in the study of contemporary history. Distancing itself from purely terminological debates, the essay discusses how the transnational approach can also be contextualized as a tool to understand pre-modern European societies or, by extension, the history of societies that do not fit the modern notion of the nation and are not organized as nation states, emphasizing the heuristic possibilities of this approach. The essay concludes by recalling some important contributions made from this perspective, even when their authors do not use the term “trans-national”.Este ensayo es un intento de analizar las posibilidades de la historia trans-nacional desde la perspectiva del historiador de la época moderna. Se realiza en primer lugar una breve aproximación historiográfica al desarrollo reciente de esta disciplina llamando la atención sobre el modo en que su uso se ha concentrado sobre todo entre los historiadores de la época contemporánea. En un intento de distanciarse de debates puramente terminológicos, se discute a continuación el modo en que esta perspectiva analítica nos puede ayudar a entender las sociedades de la época moderna europea o, por extensión, la historia de sociedades en las que los conceptos actuales de nación y estado nacional no articulan las formas de organización política. Se trata de este modo de subrayar el valor heurístico de esta perspectiva analítica. Se termina recordando las importantes contribuciones realizadas desde esta perspectiva al conocimiento de la historia moderna incluso cuando el término tras-nacional no es ni siquiera utilizado por sus autores.
The role of executive functions and theory of mind in children's prosocial lie-telling.
Williams, Shanna; Moore, Kelsey; Crossman, Angela M; Talwar, Victoria
2016-01-01
Children's prosocial lying was examined in relation to executive functioning skills and theory of mind development. Prosocial lying was observed using a disappointing gift paradigm. Of the 79 children (ages 6-12 years) who completed the disappointing gift paradigm, 47 (59.5%) told a prosocial lie to a research assistant about liking their prize. In addition, of those children who told prosocial lies, 25 (53.2%) maintained semantic leakage control during follow-up questioning, thereby demonstrating advanced lie-telling skills. When executive functioning was examined, children who told prosocial lies were found to have significantly higher performance on measures of working memory and inhibitory control. In addition, children who lied and maintained semantic leakage control also displayed more advanced theory of mind understanding. Although children's age was not a predictor of lie-telling behavior (i.e., truthful vs. lie-teller), age was a significant predictor of semantic leakage control, with older children being more likely to maintain their lies during follow-up questioning. Copyright © 2015 Elsevier Inc. All rights reserved.
International Nuclear Information System (INIS)
Strominger, A.
1987-01-01
A gauge invariant cubic action describing bosonic closed string field theory is constructed. The gauge symmetries include local spacetime diffeomorphisms. The conventional closed string spectrum and trilinear couplings are reproduced after spontaneous symmetry breaking. The action S is constructed from the usual ''open string'' field of ghost number minus one half. It is given by the associator of the string field product which is non-vanishing because of associativity anomalies. S does not describe open string propagation because open string states associate and can thereby be shifted away. A field theory of closed and open strings can be obtained by adding to S the cubic open string action. (orig.)
Pseudo Algebraically Closed Extensions
Bary-Soroker, Lior
2009-07-01
This PhD deals with the notion of pseudo algebraically closed (PAC) extensions of fields. It develops a group-theoretic machinery, based on a generalization of embedding problems, to study these extensions. Perhaps the main result is that although there are many PAC extensions, the Galois closure of a proper PAC extension is separably closed. The dissertation also contains the following subjects. The group theoretical counterpart of pseudo algebraically closed extensions, the so-called projective pairs. Applications to seemingly unrelated subjects, e.g., an analog of Dirichlet's theorem about primes in arithmetic progression for polynomial rings in one variable over infinite fields.
Very smooth points of spaces of operators
Indian Academy of Sciences (India)
R. Narasimhan (Krishtel eMaging) 1461 1996 Oct 15 13:05:22
Our notation and terminology is standard and can be found in [HWW]. For a Banach space X by ∂eX1 we denote the set of extreme points. 2. Very smooth points. Let M ⊂ X be a closed subspace. It was observed in [MR] that if x ∈ M is a smooth point of X then it is a smooth point of M. It is easy to see that if every continuous.
Directory of Open Access Journals (Sweden)
John P. Wagle
2017-11-01
Full Text Available The purpose of the current study was (1 to examine the differences between standing and lying measures of vastus lateralis (VL, muscle thickness (MT, pennation angle (PA, and cross-sectional area (CSA using ultrasonography; and (2 to explore the relationships between lying and standing measures with isometric and dynamic assessments of force production—specifically peak force, rate of force development (RFD, impulse, and one-repetition maximum back squat. Fourteen resistance-trained subjects (age = 26.8 ± 4.0 years, height = 181.4 ± 6.0 cm, body mass = 89.8 ± 10.7 kg, back squat to body mass ratio = 1.84 ± 0.34 agreed to participate. Lying and standing ultrasonography images of the right VL were collected following 48 hours of rest. Isometric squat assessments followed ultrasonography, and were performed on force platforms with data used to determine isometric peak force (IPF, as well as RFD and impulse at various time points. Forty-eight hours later, one-repetition maximum back squats were performed by each subject. Paired-samples t-tests revealed statistically significant differences between standing and lying measurements of MT (p < 0.001, PA (p < 0.001, and CSA (p ≤ 0.05, with standing values larger in all cases. Further, standing measures were correlated more strongly and abundantly to isometric and dynamic performance. These results suggest that if practitioners intend to gain insight into strength-power potential based on ultrasonography measurements, performing the measurement collection with the athlete in a standing posture may be preferred.
Social Security Administration — This file is used to hold information about disability claims that have been closed and have been selected for sampling.Sampling is the process whereby OQR reviews...
Comparative study of spectroscopic properties of the low-lying ...
Indian Academy of Sciences (India)
Variations of the dihedral angles (Γ3, Γ4) of the ground state have given the global minima and global maxima at (180°, 180°) and (90°, 0°) conformations, respectively, with some exceptions in the case of fluoromethyl compound. Increase in the +I effect on nitrogen shifts the TICT conical intersection point away from the 90° ...
Algebras of Complete Hörmander Vector Fields, and Lie-Group Construction
Directory of Open Access Journals (Sweden)
Andrea Bonfiglioli
2014-12-01
Full Text Available The aim of this note is to characterize the Lie algebras g of the analytic vector fields in RN which coincide with the Lie algebras of the (analytic Lie groups defined on RN (with its usual differentiable structure. We show that such a characterization amounts to asking that: (i g is N-dimensional; (ii g admits a set of Lie generators which are complete vector fields; (iii g satisfies Hörmander’s rank condition. These conditions are necessary, sufficient and mutually independent. Our approach is constructive, in that for any such g we show how to construct a Lie group G = (RN, * whose Lie algebra is g. We do not make use of Lie’s Third Theorem, but we only exploit the Campbell-Baker-Hausdorff-Dynkin Theorem for ODE’s.
NSAID reduces lameness score without affecting lying behaviour of lame dairy cows
DEFF Research Database (Denmark)
Raundal, Peter M; Forkman, Björn; Herskin, Mette S.
2017-01-01
Foot lesions in dairycowsresulting in clinical lameness are often associatedwith pain (2)and altered lying behaviour compared to non‐lame cows (6).Use of non‐steroidalanti‐inflammatory drugs (NSAIDs)haveshown minoreffect on degree of lameness (3, 1) andnomodification of lying behaviour (1), However......, thesestudies didnot control fortype of foot lesions. We investigatedeffects of a4‐day NSAID treatment (ketoprofen) on lamenessscore and lying behavior in cows with lameness related to horn‐related (HR) lesionsand digital dermatitis (DD)....
Testing the tetraquark structure for the X resonances in the low-lying region
Energy Technology Data Exchange (ETDEWEB)
Kim, Hungchong [Kookmin University, Department of General Education, Seoul (Korea, Republic of); Kim, K.S. [Korea Aerospace University, School of Liberal Arts and Science, Goyang (Korea, Republic of); Cheoun, Myung-Ki [Soongsil University, Department of Physics, Seoul (Korea, Republic of); Jido, Daisuke [Tokyo Metropolitan University, Department of Physics, Hachioji, Tokyo (Japan); Oka, Makoto [Tokyo Institute of Technology, Department of Physics, Meguro (Japan); Japan Atomic Energy Agency, Advanced Science Research Center, Tokai, Ibaraki (Japan)
2016-07-15
Assuming the four-quark structure for the X resonances in the low-lying region, we calculate their masses using the color-spin interaction. Specifically, the hyperfine masses of the color-spin interaction are calculated for the possible states in spin-0, spin-1, spin-2 channels. The two states in spin-0 channel as well as the two states in spin-1 channel are diagonalized in order to generate the physical hyperfine masses. By matching the difference in hyperfine masses with the splitting in corresponding hadron masses and using the X(3872) mass as an input, we estimate the masses corresponding to the states J{sup PC} = 0{sup ++}, 1{sup +-}, 2{sup ++}. We find that the masses of two states in 1{sup +-} are close to those of X(3823), X(3900), and the mass of the 2{sup ++} state is close to that of X(3940). For them, the discrepancies are about ∝ 10 MeV. This may suggest that the quantum numbers of the controversial states are X(3823) = 1{sup +-}, X(3900) = 1{sup +-}, X(3940) = 2{sup ++}. In this work, we use the same inputs parameters, the constituent quark masses and the strength of the color-spin interaction, that have been adopted in the previous work on the D- or B-meson excited states. There, it was shown that the four-quark structure can be manifested in their excited states. Thus, our results in this work provide a consistent treatment on open- and hidden-charm mesons as far as the four-quark model is concerned. (orig.)
Kim, W Chan; Mauborgne, Renée
2003-04-01
When William Bratton was appointed police commissioner of New York City in 1994, turf wars over jurisdiction and funding were rife and crime was out of control. Yet in less than two years, and without an increase in his budget, Bratton turned New York into the safest large city in the nation. And the NYPD was only the latest of five law-enforcement agencies Bratton had turned around. In each case, he succeeded in record time despite limited resources, a demotivated staff, opposition from powerful vested interests, and an organization wedded to the status quo. Bratton's turnarounds demonstrate what the authors call tipping point leadership. The theory of tipping points hinges on the insight that in any organization, fundamental changes can occur quickly when the beliefs and energies of a critical mass of people create an epidemic movement toward an idea. Bratton begins by overcoming the cognitive hurdles that block organizations from recognizing the need for change. He does this by putting managers face-to-face with operational problems. Next, he manages around limitations on funds, staff, or equipment by concentrating resources on the areas that are most in need of change and that have the biggest payoffs. He meanwhile solves the motivation problem by singling out key influencers--people with disproportionate power due to their connections or persuasive abilities. Finally, he closes off resistance from powerful opponents. Not every CEO has the personality to be a Bill Bratton, but his successes are due to much more than his personality. He relies on a remarkably consistent method that any manager looking to turn around an organization can use to overcome the forces of inertia and reach the tipping point.
Combination of activity and lying/standing data for detection of oestrus in cows
DEFF Research Database (Denmark)
Jónsson, Ragnar Ingi; Blanke, Mogens; Poulsen, Niels Kjølstad
2009-01-01
is measured by a sensor attached to the hind leg of the cow. Activity and lying/standing behaviour are modelled as a discrete event system, constructed using automata theory. In an attempt to estimate a biologically relevant lying balance, a lying balance indicator is constructed and is influencing transition...... and results of decision algorithms are presented for Oestrus detection. Detection based on the lying balance indicator and the two sets of measured information are demonstrated to increase the detection sensitivity to 100% for a set of 10 cows....
Deceptive Intentions: Can Cues to Deception Be Measured before a Lie Is Even Stated?
Directory of Open Access Journals (Sweden)
Sabine Ströfer
Full Text Available Can deceitful intentions be discriminated from truthful ones? Previous work consistently demonstrated that deceiving others is accompanied by nervousness/stress and cognitive load. Both are related to increased sympathetic nervous system (SNS activity. We hypothesized that SNS activity already rises during intentions to lie and, consequently, cues to deception can be detected before stating an actual lie. In two experiments, controlling for prospective memory, we monitored SNS activity during lying, truth telling, and truth telling with the aim of lying at a later instance. Electrodermal activity (EDA was used as an indicator of SNS. EDA was highest during lying, and compared to the truth condition, EDA was also raised during the intention to deceive. Moreover, the switch from truth telling toward lying in the intention condition evoked higher EDA than switching toward non-deception related tasks in the lie or truth condition. These results provide first empirical evidence that increased SNS activity related to deception can be monitored before a lie is stated. This implies that cues to deception are already present during the mere intention to lie.
Deceptive Intentions: Can Cues to Deception Be Measured before a Lie Is Even Stated?
Ströfer, Sabine; Noordzij, Matthijs L; Ufkes, Elze G; Giebels, Ellen
2015-01-01
Can deceitful intentions be discriminated from truthful ones? Previous work consistently demonstrated that deceiving others is accompanied by nervousness/stress and cognitive load. Both are related to increased sympathetic nervous system (SNS) activity. We hypothesized that SNS activity already rises during intentions to lie and, consequently, cues to deception can be detected before stating an actual lie. In two experiments, controlling for prospective memory, we monitored SNS activity during lying, truth telling, and truth telling with the aim of lying at a later instance. Electrodermal activity (EDA) was used as an indicator of SNS. EDA was highest during lying, and compared to the truth condition, EDA was also raised during the intention to deceive. Moreover, the switch from truth telling toward lying in the intention condition evoked higher EDA than switching toward non-deception related tasks in the lie or truth condition. These results provide first empirical evidence that increased SNS activity related to deception can be monitored before a lie is stated. This implies that cues to deception are already present during the mere intention to lie.
Classification of filiform Lie algebras up to dimension 7 over finite fields
Falcón Ganfornina, Óscar Jesús; Falcón Ganfornina, Raúl Manuel; Núñez Valdés, Juan; Pacheco Martínez, Ana María; Villar Liñán, María Trinidad
2016-01-01
This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the problem of the classification of Lie algebras in general, dealing in this case with filiform Lie algebras up to dimension 7 over finite fields. The idea lies in the representation of each Lie algebra by a certain type of graphs. Then, some properties on Graph Theory make easier to classify the algebras. As main results, we find out that there exist, up to isomor...
The influence of FMRI lie detection evidence on juror decision-making.
McCabe, David P; Castel, Alan D; Rhodes, Matthew G
2011-01-01
In the current study, we report on an experiment examining whether functional magnetic resonance imaging (fMRI) lie detection evidence would influence potential jurors' assessment of guilt in a criminal trial. Potential jurors (N = 330) read a vignette summarizing a trial, with some versions of the vignette including lie detection evidence indicating that the defendant was lying about having committed the crime. Lie detector evidence was based on evidence from the polygraph, fMRI (functional brain imaging), or thermal facial imaging. Results showed that fMRI lie detection evidence led to more guilty verdicts than lie detection evidence based on polygraph evidence, thermal facial imaging, or a control condition that did not include lie detection evidence. However, when the validity of the fMRI lie detection evidence was called into question on cross-examination, guilty verdicts were reduced to the level of the control condition. These results provide important information about the influence of lie detection evidence in legal settings. Copyright © 2011 John Wiley & Sons, Ltd.
International Nuclear Information System (INIS)
Feng, H.; Zheng, Y.; Ding, S.
2007-01-01
Infrared multiphoton vibrational excitation of the linear triatomic molecule has been studied using the quadratic anharmonic Lie-algebra model, unitary transformations, and Magnus approximation. An explicit Lie-algebra expression for the vibrational transition probability is obtained by using a Lie-algebra approach. This explicit Lie-algebra expressions for time-evolution operator and vibrational transition probabilities make the computation clearer and easier. The infrared multiphoton vibrational excitation of the DCN linear tri-atomic molecule is discussed as an example
International Nuclear Information System (INIS)
Larsson-Leander, G.
1979-01-01
Studies of close binary stars are being persued more vigorously than ever, with about 3000 research papers and notes pertaining to the field being published during the triennium 1976-1978. Many major advances and spectacular discoveries were made, mostly due to increased observational efficiency and precision, especially in the X-ray, radio, and ultraviolet domains. Progress reports are presented in the following areas: observational techniques, methods of analyzing light curves, observational data, physical data, structure and models of close binaries, statistical investigations, and origin and evolution of close binaries. Reports from the Coordinates Programs Committee, the Committee for Extra-Terrestrial Observations and the Working Group on RS CVn binaries are included. (Auth./C.F.)
Solano, L; Barkema, H W; Pajor, E A; Mason, S; LeBlanc, S J; Nash, C G R; Haley, D B; Pellerin, D; Rushen, J; de Passillé, A M; Vasseur, E; Orsel, K
2016-03-01
Lying behavior is an important measure of comfort and well-being in dairy cattle, and changes in lying behavior are potential indicators and predictors of lameness. Our objectives were to determine individual and herd-level risk factors associated with measures of lying behavior, and to evaluate whether automated measures of lying behavior can be used to detect lameness. A purposive sample of 40 Holstein cows was selected from each of 141 dairy farms in Alberta, Ontario, and Québec. Lying behavior of 5,135 cows between 10 and 120 d in milk was automatically and continuously recorded using accelerometers over 4 d. Data on factors hypothesized to influence lying behavior were collected, including information on individual cows, management practices, and facility design. Associations between predictor variables and measures of lying behavior were assessed using generalized linear mixed models, including farm and province as random and fixed effects, respectively. Logistic regression models were used to determine whether lying behavior was associated with lameness. At the cow-level, daily lying time increased with increasing days in milk, but this effect interacted with parity; primiparous cows had more frequent but shorter lying bouts in early lactation, changing to mature-cow patterns of lying behavior (fewer and longer lying bouts) in late lactation. In barns with stall curbs >22 cm high, the use of sand or >2 cm of bedding was associated with an increased average daily lying time of 1.44 and 0.06 h/d, respectively. Feed alleys ≥ 350 cm wide or stalls ≥ 114 cm wide were associated with increased daily lying time of 0.39 and 0.33 h/d, respectively, whereas rubber flooring in the feed alley was associated with 0.47 h/d lower average lying time. Lame cows had longer lying times, with fewer, longer, and more variable duration of bouts compared with nonlame cows. In that regard, cows with lying time ≥ 14 h/d, ≤ 5 lying bouts per day, bout duration ≥ 110 min
DEFF Research Database (Denmark)
Prosman, Ernst-Jan; Wæhrens, Brian Vejrum; Liotta, Giacomo
2017-01-01
Replacing virgin materials with waste materials, a practice known as Industrial Symbiosis (IS), has been identified as a key strategy for closing material loops. This article adopts a critical view on geographic proximity and external coordinators – two key enablers of IS. By ‘uncovering’ a case ...... for geographic proximity and external coordinators. In doing so, our insights into firm-level challenges of long-distance IS exchanges contribute to closing global material loops by increasing the number of potential circular pathways....
Closed Loop Subspace Identification
Directory of Open Access Journals (Sweden)
Geir W. Nilsen
2005-07-01
Full Text Available A new three step closed loop subspace identifications algorithm based on an already existing algorithm and the Kalman filter properties is presented. The Kalman filter contains noise free states which implies that the states and innovation are uneorre lated. The idea is that a Kalman filter found by a good subspace identification algorithm will give an output which is sufficiently uncorrelated with the noise on the output of the actual process. Using feedback from the output of the estimated Kalman filter in the closed loop system a subspace identification algorithm can be used to estimate an unbiased model.
Address Points - Allegheny County Address Points 201601
NSGIC Education | GIS Inventory — This dataset contains Address Points in Allegheny County. The Address Points were created by GDR for the Allegheny County CAD project, October 2008. Data is updated...
Young Children's Self-Benefiting Lies and Their Relation to Executive Functioning and Theory of Mind
Fu, Genyue; Sai, Liyang; Yuan, Fang; Lee, Kang
2018-01-01
It is well established that children lie in different social contexts for various purposes from the age of 2 years. Surprisingly, little is known about whether very young children will spontaneously lie for personal gain, how self-benefiting lies emerge, and what cognitive factors affect the emergence of self-benefiting lies. To bridge this gap in…
Covariant field theory of closed superstrings
International Nuclear Information System (INIS)
Siopsis, G.
1989-01-01
The authors construct covariant field theories of both type-II and heterotic strings. Toroidal compactification is also considered. The interaction vertices are based on Witten's vertex representing three strings interacting at the mid-point. For closed strings, the authors thus obtain a bilocal interaction
Lee, Kiju; Wang, Yunfeng; Chirikjian, Gregory S
2007-11-01
Over the past several decades a number of O(n) methods for forward and inverse dynamics computations have been developed in the multi-body dynamics and robotics literature. A method was developed in 1974 by Fixman for O(n) computation of the mass-matrix determinant for a serial polymer chain consisting of point masses. In other recent papers, we extended this method in order to compute the inverse of the mass matrix for serial chains consisting of point masses. In the present paper, we extend these ideas further and address the case of serial chains composed of rigid-bodies. This requires the use of relatively deep mathematics associated with the rotation group, SO(3), and the special Euclidean group, SE(3), and specifically, it requires that one differentiates functions of Lie-group-valued argument.
Closed Circuit Videoinstallationen
DEFF Research Database (Denmark)
Kacunko, Slavko
be seen with only insignificant qualification as a specific characteristic of the medium. The closed-circuit video installations based on it represent the attest field of experiment for the assumptions on art and the theory and history of the medium that it might lead one make. In recent years...
African Journals Online (AJOL)
The advantages of using rebreathing circuits in anaes- thesia are discussed and the principles for their correct employment are outlined. Practical methods are described. By using closed circuit equipment in the manner described, the initial cost of the apparatus could be recouped within one year, because of the saving in ...
Effect of point source and heterogeneity on the propagation of ...
African Journals Online (AJOL)
user
This paper stands to investigate the possibility of propagation of SH waves due to a point source in a magnetoelastic monoclinic layer lying over a heterogeneous monoclinic half-space. The heterogeneity is caused by consideration of quadratic variation in rigidity. The methodology employed combines an efficient ...
Radiative symmetry breaking from interacting UV fixed points
DEFF Research Database (Denmark)
Abel, Steven; Sannino, Francesco
2017-01-01
It is shown that the addition of positive mass-squared terms to asymptotically safe gauge-Yukawa theories with perturbative UV fixed points leads to calculable radiative symmetry breaking in the IR. This phenomenon, and the multiplicative running of the operators that lies behind it, is akin...
Equilibrium points in the generalised photogravitational non-planar ...
African Journals Online (AJOL)
We generalised the photogravitational non-planar restricted three body problem by considering the smaller primary as an oblate spheroid. With both the primaries radiating, we located the equilibrium points which lie outside the orbital plane, contrary to the classical case. Besides finding the equations of motion of the ...
Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
International Nuclear Information System (INIS)
Dey, Sanjib; Fring, Andreas; Mathanaranjan, Thilagarajah
2014-01-01
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean–Lie algebraic generators. The classes are distinguished by different versions of antilinear (PT)-symmetries exhibiting various types of qualitative behaviour. On the basis of explicitly computed non-perturbative Dyson maps we construct metric operators, isospectral Hermitian counterparts for which we solve the corresponding time-independent Schrödinger equation for specific choices of the coupling constants. In these cases general analytical expressions for the solutions are obtained in the form of Mathieu functions, which we analyze numerically to obtain the corresponding energy spectra. We identify regions in the parameter space for which the corresponding spectra are entirely real and also domains where the PT symmetry is spontaneously broken and sometimes also regained at exceptional points. In some cases it is shown explicitly how the threshold region from real to complex spectra is characterized by the breakdown of the Dyson maps or the metric operator. We establish the explicit relationship to models currently under investigation in the context of beam dynamics in optical lattices. -- Highlights: •Different PT-symmetries lead to qualitatively different systems. •Construction of non-perturbative Dyson maps and isospectral Hermitian counterparts. •Numerical discussion of the eigenvalue spectra for one of the E(2)-systems. •Established link to systems studied in the context of optical lattices. •Setup for the E(3)-algebra is provided
Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
Dey, Sanjib; Fring, Andreas; Mathanaranjan, Thilagarajah
2014-07-01
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean-Lie algebraic generators. The classes are distinguished by different versions of antilinear (PT)-symmetries exhibiting various types of qualitative behaviour. On the basis of explicitly computed non-perturbative Dyson maps we construct metric operators, isospectral Hermitian counterparts for which we solve the corresponding time-independent Schrödinger equation for specific choices of the coupling constants. In these cases general analytical expressions for the solutions are obtained in the form of Mathieu functions, which we analyze numerically to obtain the corresponding energy spectra. We identify regions in the parameter space for which the corresponding spectra are entirely real and also domains where the PT symmetry is spontaneously broken and sometimes also regained at exceptional points. In some cases it is shown explicitly how the threshold region from real to complex spectra is characterized by the breakdown of the Dyson maps or the metric operator. We establish the explicit relationship to models currently under investigation in the context of beam dynamics in optical lattices.
Storage change in a flat-lying fracture during well tests
Murdoch, Lawrence C.; Germanovich, Leonid N.
2012-12-01
The volume of water released from storage per unit head drop per volume of an REV is a basic quantity in groundwater hydrology, but the details of the process of storage change in the vicinity of a well are commonly overlooked. We characterize storage change in a flat-lying fracture or thin sedimentary bed through the apparent hydraulic compliance,Cf, the change in aperture of the fracture or thickness of the layer per unit change in pressure. The results of theoretical analyses and field measurements show that Cf increases with time near the well during pumping, but it drops suddenly and may become negative at the beginning of recovery during a well test. Profiles of Cfincrease with radial distance from a well, but they are marked by a sharp increase and a sharp decrease at the edge of the region affected by the wellbore pressure transient. The conventional view in groundwater hydrology is that storage change at a point is proportional to the local change in pressure, which requires that the hydraulic compliance is uniform and constant. It appears that this conventional view is a simplification of a process that varies in both space and time and can even take on negative values. This simplification may be a source of uncertainty when interpreting well tests and extensometer records or predicting long-term well performance.
Debey, Evelyne; Ridderinkhof, Richard K; De Houwer, Jan; De Schryver, Maarten; Verschuere, Bruno
2015-12-01
Lying takes more time than telling the truth. Because lying involves withholding the truth, this "lie effect" has been related to response inhibition. We investigated the response inhibition hypothesis of lying using the delta-plot method: A leveling-off of the standard increase of the lie effect with slower reaction times would be indicative of successful response inhibition. Participants performed a reaction-time task that required them to alternate between lying and truth telling in response to autobiographical questions. In two experiments, we found that the delta plot of the lie effect leveled off with longer response latencies, but only in a group of participants who had better inhibitory skills as indexed by relatively small lie effects. This finding supports the role of response inhibition in lying. We elaborate on repercussions for cognitive models of deception and the data analysis of reaction-time based lie tests. Copyright © 2015 Elsevier Inc. All rights reserved.