The algebraic Bethe ansatz for rational braid-monoid lattice models
Martins, M J
1997-01-01
In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B_n, C_n and D_n Lie algebra and by the superalgebra Osp(n|2m). We present a unified formulation of the quantum inverse scattering method for many of these lattice models. The appropriate fundamental commutation rules are found, allowing us to construct the eigenvectors and the eigenvalues of the transfer matrix associated to the B_n, C_n, D_n, Osp(2n-1|2), Osp(2|2n-2), Osp(2n-2|2) and Osp(1|2n) models. The corresponding Bethe Ansatz equations can be formulated in terms of the root structure of the underlying algebra.
Implicitization of rational maps
Botbol, Nicolas
2011-01-01
Motivated by the interest in computing explicit formulas for resultants and discriminants initiated by B\\'ezout, Cayley and Sylvester in the eighteenth and nineteenth centuries, and emphasized in the latest years due to the increase of computing power, we focus on the implicitization of hypersurfaces in several contexts. Our approach is based on the use of linear syzygies by means of approximation complexes, following [Bus\\'e Jouanolou 03], where they develop the theory for a rational map $f:P^{n-1}\\dashrightarrow P^n$. Approximation complexes were first introduced by Herzog, Simis and Vasconcelos in [Herzog Simis Vasconcelos 82] almost 30 years ago. The main obstruction for this approximation complex-based method comes from the bad behavior of the base locus of $f$. Thus, it is natural to try different compatifications of $A^{n-1}$, that are better suited to the map $f$, in order to avoid unwanted base points. With this purpose, in this thesis we study toric compactifications $T$ for $A^{n-1}$. We provide re...
Rational formality of mapping spaces
Felix, Yves
2010-01-01
Let X and Y be finite nilpotent CW complexes with dimension of X less than the connectivity of Y. Generalizing results of Vigu\\'e-Poirrier and Yamaguchi, we prove that the mapping space Map(X,Y) is rationally formal if and only if Y has the rational homotopy type of a finite product of odd dimensional spheres.
Height Estimates for Equidimensional Dominant Rational Maps
Silverman, Joseph H
2009-01-01
Let F : W --> V be a dominant rational map between quasi-projective varieties of the same dimension. We give two proofs that h_V(F(P)) >> h_W(P) for all points P in a nonempty Zariski open subset of W. For dominant rational maps F : P^n --> P^n, we give a uniform estimate in which the implied constant depends only on n and the degree of F. As an application, we prove a specialization theorem for equidimensional dominant rational maps to semiabelian varieties, providing a complement to Habegger's recent theorem on unlikely intersections.
Boundary perimeter Bethe ansatz
Frassek, Rouven
2017-06-01
We study the partition function of the six-vertex model in the rational limit on arbitrary Baxter lattices with reflecting boundary. Every such lattice is interpreted as an invariant of the twisted Yangian. This identification allows us to relate the partition function of the vertex model to the Bethe wave function of an open spin chain. We obtain the partition function in terms of creation operators on a reference state from the algebraic Bethe ansatz and as a sum of permutations and reflections from the coordinate Bethe ansatz.
Scattering in Three Dimensions from Rational Maps
Cachazo, Freddy; Yuan, Ellis Ye
2013-01-01
The complete tree-level S-matrix of four dimensional ${\\cal N}=4$ super Yang-Mills and ${\\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes in three dimensions by using the fact that when amplitudes are dressed with proper wave functions dimensional reduction becomes straightforward. This procedure leads to formulas in terms of rational maps for three dimensional maximally supersymmetric Yang-Mills and gravity theories. The integrand of the new formulas contains three basic structures: Parke-Taylor-like factors, Vandermonde determinants and resultants. Integrating out some of the Grassmann directions produces formulas for theories with less than maximal supersymmetry, which exposes yet a fourth kind of structure. Combining all four basic structures we start a search for consistent S-matrices in three dimensions. Very nicely, the most natural ones are those corresponding to ABJM and BLG theories. We also make a...
Rational Expansion for Nonlinear Input-Output Maps
1988-01-01
This paper introduces a Rational Expansion for Nonlinear Input-Output MAPS. The method is new and is based on the rational expansion of functions of several complex variables. If truncated, this series reduces to a ratio of truncated Volterra series, A "feedback form" will be presented.
Constructing rational maps with cluster points using the mating operation
Sharland, Thomas
2011-01-01
In this article, we show that all admissible rational maps with fixed or period two cluster cycles can be constructed by the mating of polynomials. We also investigate the polynomials which make up the matings that construct these rational maps. In the one cluster case, one of the polynomials must be an $n$-rabbit and in the two cluster case, one of the maps must be either $f$, a "double rabbit", or $g$, a secondary map which lies in the wake of the double rabbit $f$. There is also a very simple combinatorial way of classifiying the maps which must partner the aforementioned polynomials to create rational maps with cluster cycles. Finally, we also investigate the multiplicities of the shared matings arising from the matings in the paper.
SOME DYNAMICAL PROPERTIES OF QUADRATIC RATIONAL MAPS
YINYONGCHENG
1994-01-01
This paper studies the dynamics of the analytic family z+1/z+b and describes the topology of the parameter space, structural stability and J-stability. The mapping class group of almost all maps of the above family is determined.
Levkovich-Maslyuk, Fedor
2016-08-01
We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the SU(2) chiral Gross-Neveu model. We derive the Bethe equations via algebraic Bethe ansatz, solving in the process the Heisenberg XXX spin chain. We discuss this famous spin chain model in some detail, covering in particular the coordinate Bethe ansatz, some properties of Bethe states, and the classical scaling limit leading to finite-gap equations. Then we proceed to the more involved SU(3) chiral Gross-Neveu model and derive the Bethe equations using nested algebraic Bethe ansatz to solve the arising SU(3) spin chain. Finally we show how a method similar to the Bethe ansatz works in a completely different setting, namely for the 1D oscillator in quantum mechanics.
Order of Meromorphic Maps and Rationality of the Image Space
Noguchi, Junjiro
2011-01-01
Let $\\iota : \\C^2 \\hookrightarrow S$ be a compactification of the two dimensional complex space $\\C^2$. By making use of Nevanlinna theoretic methods and the classification of compact complex surfaces K. Kodaira proved in 1971 (\\cite{ko71}) that $S$ is a rational surface. Here we deal with a more general meromorphic map $f: \\C^n \\to X$ into a compact complex manifold $X$ of dimension $n$, whose differential $df$ has generically rank $n$. Let $\\rho_f$ denote the order of $f$. We will prove that if $\\rho_f<2$, then every global symmetric holomorphic tensor must vanish; in particular, {\\it if $\\dim X=2$ and $X$ is k\\"ahler, then $X$ is a rational surface. Without the k\\"ahler condition there is no such conclusion, as we will show by a counter-example using a Hopf surface.} This may be the first instance that the k\\"ahler or non-k\\"ahler condition makes a difference in the value distribution theory.
Osano, Bob
2016-01-01
We present an ansatz for the relationship between magnetic flux density and fluid vorticity evolution equations. We also suggest that the magnetic flux density evolution equations be compared to the evolution equation for an effective vorticity ($\\omega_{eff}$), which bears a power law relation to the ordinary vorticity.
Hierarchy of rational order families of chaotic maps with an invariant measure
M A Jafarizadeh; M Foroutan; S Ahadpour
2006-12-01
We introduce an interesting hierarchy of rational order chaotic maps that possess an invariant measure. In contrast to the previously introduced hierarchy of chaotic maps [1–5], with merely entropy production, the rational order chaotic maps can simultaneously produce and consume entropy. We compute the Kolmogorov–Sinai entropy of these maps analytically and also their Lyapunov exponent numerically, where the obtained numerical results support the analytical calculations.
Height bound and preperiodic points for jointly regular families of rational maps
Lee, ChongGyu
2010-01-01
Silverman proved a height inequality for jointly regular family of rational maps and the author improved it for jointly regular pairs. In this paper, we provide the same improvement for jointly regular family; if S is a jointly regular set of rational maps, then \\sum_{f\\in S} \\dfrac{1}{\\deg f} h\\bigl(f(P) \\bigr) > (1+ \\dfrac{1}{r}) f(P) - C where r = \\max_{f\\in S} r(f).
SOME RATIONALITY CONDITIONS OF JOINT EFFICIENT MAPPING IN GROUP MULTI-OBJECTIVE PROGRAMMING
Jing LI; Yuda HU
2007-01-01
The joint efficient ordering method is a fundamental method of ordering alternatives in group multi-objective programming problems. In this paper, the rational properties of the joint efficient mapping corresponding to the joint efficient ordering method are studied, and some necessary conditions of this mapping are proven.
Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b-Metric Spaces
Farzaneh Zabihi
2014-01-01
Full Text Available We introduce the new notion of a hybrid rational Geraghty contractive mapping and investigate the existence of fixed point and coincidence point for such mappings in ordered b-metric spaces. We also provide an example to illustrate the results presented herein. Finally, we establish an existence theorem for a solution of an integral equation.
Levkovich-Maslyuk, Fedor
2016-01-01
We give a pedagogical introduction to the Bethe ansatz techniques in integrable QFTs and spin chains. We first discuss and motivate the general framework of asymptotic Bethe ansatz for the spectrum of integrable QFTs in large volume, based on the exact S-matrix. Then we illustrate this method in several concrete theories. The first case we study is the SU(2) chiral Gross-Neveu model. We derive the Bethe equations via algebraic Bethe ansatz, solving in the process the Heisenberg XXX spin chain. We discuss this famous spin chain model in some detail, covering in particular the coordinate Bethe ansatz, some properties of Bethe states, and the classical scaling limit leading to finite-gap equations. Then we proceed to the more involved SU(3) chiral Gross-Neveu model and derive the Bethe equations using nested algebraic Bethe ansatz to solve the arising SU(3) spin chain. Finally we show how a method similar to the Bethe ansatz works in a completley different setting, namely for the 1d oscillator in quantum mechani...
Construction of Rational Maps on the Projective Line with Given Dynamical Structure
2016-05-11
1)2 = (x+ 1) (x− 1) we see that g(x) is in fact a linear map. Consider another map: h(x) = x2 + 1 x2 − 2x+ 1. Res(h) = ∣∣∣∣∣∣∣∣∣∣∣∣ 1 0 1 0 0 1 0 1 1...a1 = b1 + b0 12 Also note that if a2 = 0 or b0 = 0 the map will become linear . Therefore if a quadratic rational map φ has fixed points 0,1...quadratic map using algebra to show the fixed points and two-cycle hold for the map, then using the resultant to show that the map is quadratic and does not
Some fixed point results for rational type and subrational type contractive mappings
Huang Huaping
2017-08-01
Full Text Available In this paper, we introduce the concepts of rational type and subrational type contractive mappings. We expand and improve some fixed point theorems obtained by Alsulami et al. (Fixed Point Theory Appl., 2015, 2015: 97. Moreover, we give an example to support our results.
Stripe Ansatzs from Exactly Solved Models
2001-01-01
Using the Boltzmann weights of classical Statistical Mechanics vertex models we define a new class of Tensor Product Ansatzs for 2D quantum lattice systems, characterized by a strong anisotropy, which gives rise to stripe like structures. In the case of the six vertex model we compute exactly, in the thermodynamic limit, the norm of the ansatz and other observables. Employing this ansatz we study the phase diagram of a Hamiltonian given by the sum of XXZ Hamiltonians along the legs coupled by...
Silverman, Joseph H
2011-01-01
Let F : P^N --> P^N be a dominant rational map. The dynamical degree of F is the quantity d_F = lim (deg F^n)^(1/n). When F is defined over a number field, we define the arithmetic degree of an algebraic point P to be a_F(P) = limsup h(F^n(P))^(1/n) and the canonical height of P to be h_F(P) = limsup h(F^n(P))/n^k d_F^n for an appropriately chosen integer k = k_F. In this article we prove some elementary relations and make some deep conjectures relating d_F, a_F(P), and h_F(P). We prove our conjectures for semisimple monomial maps.
Newman-Janis Ansatz in conformastatic spacetimes
Gutiérrez-Piñeres, Antonio C
2016-01-01
The Newman-Janis Ansatz was used first to obtain the stationary Kerr metric from the static Schwarzschild metric. Many works have been devoted to investigate the physical significance of this Ansatz, but no definite answer has been given so far. We show that this Ansatz can be applied in general to conformastatic vacuum metrics, and leads to stationary generalizations which, however, do not preserve the conformal symmetry. We investigate also the particular case when the seed solution is given by the Schwarzschild spacetime and show that the resulting rotating configuration does not correspond to a vacuum solution, even in the limiting case of slow rotation. In fact, it describes in general a relativistic fluid with anisotropic pressure and heat flux. This implies that the Newman-Janis Ansatz strongly depends on the choice of representation for the seed solution. We interpret this result as as a further indication of its applicability limitations.
Newman-Janis Ansatz in conformastatic spacetimes
Gutiérrez-Piñeres, Antonio C.; Quevedo, Hernando
2016-11-01
The Newman-Janis Ansatz was used first to obtain the stationary Kerr metric from the static Schwarzschild metric. Many works have been devoted to investigate the physical significance of this Ansatz, but no definite answer has been given so far. We show that this Ansatz can be applied in general to conformastatic vacuum metrics, and leads to stationary generalizations which, however, do not preserve the conformal symmetry. We investigate also the particular case when the seed solution is given by the Schwarzschild spacetime and show that the resulting rotating configuration does not correspond to a vacuum solution, even in the limiting case of slow rotation. In fact, it describes in general a relativistic fluid with anisotropic pressure and heat flux. This implies that the Newman-Janis Ansatz strongly depends on the choice of representation for the seed solution. We interpret this result as a further indication of its applicability limitations.
Sumit Chandok
2013-03-01
Full Text Available The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a mixed $g$-monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.
Algebraic Bethe ansatz for Q-operators: The Heisenberg spin chain
Frassek, Rouven
2015-01-01
We diagonalize Q-operators for rational homogeneous sl(2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. After deriving the fundamental commutation relations relevant for this case from the Yang-Baxter equation we demonstrate that the Q-operators act diagonally on the Bethe vectors if the Bethe equations are satisfied. In this way we provide a direct proof that the eigenvalues of the Q-operators studied here are given by Baxter's Q-functions.
Scaling ansatz for the jamming transition
Goodrich, Carl P.; Liu, Andrea J.; Sethna, James P.
2016-08-01
We propose a Widom-like scaling ansatz for the critical jamming transition. Our ansatz for the elastic energy shows that the scaling of the energy, compressive strain, shear strain, system size, pressure, shear stress, bulk modulus, and shear modulus are all related to each other via scaling relations, with only three independent scaling exponents. We extract the values of these exponents from already known numerical or theoretical results, and we numerically verify the resulting predictions of the scaling theory for the energy and residual shear stress. We also derive a scaling relation between pressure and residual shear stress that yields insight into why the shear and bulk moduli scale differently. Our theory shows that the jamming transition exhibits an emergent scale invariance, setting the stage for the potential development of a renormalization group theory for jamming.
Introduction to the thermodynamic Bethe ansatz
van Tongeren, Stijn J
2016-01-01
We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. We set the stage by deriving the Fermi-Dirac distribution and associated free energy of free electrons, and then in a similar though technically more complicated fashion treat the thermodynamics of integrable models, focusing on the one dimensional Bose gas with delta function interaction as a clean pedagogical example, secondly the XXX spin chain as an elementary (lattice) model with prototypical complicating features in the form of bound states, and finally the SU(2) chiral Gross-Neveu model as a field theory example. Throughout this discussion we emphasize the central role of particle and hole densities, whose relations determine the model under consideration. We then discuss tricks that allow us to use the same methods to describe the exact spectra of integrable field theories on a circle, in particular ...
Scaling ansatz for the jamming transition.
Goodrich, Carl P; Liu, Andrea J; Sethna, James P
2016-08-30
We propose a Widom-like scaling ansatz for the critical jamming transition. Our ansatz for the elastic energy shows that the scaling of the energy, compressive strain, shear strain, system size, pressure, shear stress, bulk modulus, and shear modulus are all related to each other via scaling relations, with only three independent scaling exponents. We extract the values of these exponents from already known numerical or theoretical results, and we numerically verify the resulting predictions of the scaling theory for the energy and residual shear stress. We also derive a scaling relation between pressure and residual shear stress that yields insight into why the shear and bulk moduli scale differently. Our theory shows that the jamming transition exhibits an emergent scale invariance, setting the stage for the potential development of a renormalization group theory for jamming.
Algebraic Bethe ansatz for a singular solution
Nepomechie, Rafael I
2013-01-01
The Bethe equations for the spin-1/2 Heisenberg chain with N sites have a "two-string" solution i/2, -i/2 that is singular: both the corresponding energy and algebraic Bethe ansatz vector are divergent. We show that this solution must be carefully regularized in order to obtain the correct eigenvector. This regularization involves a parameter that can be determined using a generalization of the Bethe equations. It follows that this solution must be excluded for odd N.
Bethe Ansatz in Stringy Sigma Models
Klose, T.; Zarembo, K.
2006-01-01
We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model on S(2)), Alday-Arutyunov-Frolov model (fermionic sigma-model with su(1|1) symmetry), and Faddeev-Reshetikhin model (string sigma-model on S(3)xR).
Quantum Computing via The Bethe Ansatz
Zhang, Yong,
2011-01-01
We recognize quantum circuit model of computation as factorisable scattering model and propose that a quantum computer is associated with a quantum many-body system solved by the Bethe ansatz. As an typical example to support our perspectives on quantum computation, we study quantum computing in one-dimensional nonrelativistic system with delta-function interaction, where the two-body scattering matrix satisfies the factorisation equation (the quantum Yang--Baxter equation) and acts as a para...
Introduction to the thermodynamic Bethe ansatz
van Tongeren, Stijn J.
2016-08-01
We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that allows us to describe the thermodynamics of integrable models whose spectrum is found via the (asymptotic) Bethe ansatz. We set the stage by deriving the Fermi-Dirac distribution and associated free energy of free electrons, and then in a similar though technically more complicated fashion treat the thermodynamics of integrable models, focusing first on the one-dimensional Bose gas with delta function interaction as a clean pedagogical example, secondly the XXX spin chain as an elementary (lattice) model with prototypical complicating features in the form of bound states, and finally the {SU}(2) chiral Gross-Neveu model as a field theory example. Throughout this discussion we emphasize the central role of particle and hole densities, whose relations determine the model under consideration. We then discuss tricks that allow us to use the same methods to describe the exact spectra of integrable field theories on a circle, in particular the chiral Gross-Neveu model. We moreover discuss the simplification of TBA equations to Y systems, including the transition back to integral equations given sufficient analyticity data, in simple examples.
Holographic Dynamics from Multiscale Entanglement Renormalization Ansatz
Chua, Victor; Tiwari, Apoorv; Ryu, Shinsei
2016-01-01
The Multiscale Entanglement Renormalization Ansatz (MERA) is a tensor network based variational ansatz that is capable of capturing many of the key physical properties of strongly correlated ground states such as criticality and topological order. MERA also shares many deep relationships with the AdS/CFT (gauge-gravity) correspondence by realizing a UV complete holographic duality within the tensor networks framework. Motivated by this, we have re-purposed the MERA tensor network as an analysis tool to study the real-time evolution of the 1D transverse Ising model in its low energy excited state sector. We performed this analysis by allowing the ancilla qubits of the MERA tensor network to acquire quantum fluctuations, which yields a unitary transform between the physical (boundary) and ancilla qubit (bulk) Hilbert spaces. This then defines a reversible quantum circuit which is used as a `holographic transform' to study excited states and their real-time dynamics from the point of the bulk ancillae. In the ga...
Proof of Bekenstein-Mukhanov ansatz in loop quantum gravity
Majhi, Abhishek
2016-01-01
A simple proof of Bekenstein-Mukhanov(BM) ansatz is given within the loop quantum gravity(LQG) framework. The macroscopic area of an equilibrium black hole horizon indeed manifests a linear quantization. The quantum number responsible for this discreteness of the macroscopic area has a physical meaning in the LQG framework, unlike the ad hoc one that remained unexplained in BM ansatz.
Shifting of wrapped phase maps in the frequency domain using a rational number
Gdeisat, Munther A.; Burton, David R.; Lilley, Francis; Arevalillo-Herráez, Miguel; Abushakra, Ahmad; Qaddoura, Maen
2016-10-01
The number of phase wraps in an image can be either reduced, or completely eliminated, by transforming the image into the frequency domain using a Fourier transform, and then shifting the spectrum towards the origin. After this, the spectrum is transformed back to the spatial domain using the inverse Fourier transform and finally the phase is extracted using the arctangent function. However, it is a common concern that the spectrum can be shifted only by an integer number, meaning that the phase wrap reduction is often not optimal. In this paper we propose an algorithm than enables the spectrum to be frequency shifted by a rational number. The principle of the proposed method is confirmed both by using an initial computer simulation and is subsequently validated experimentally on real fringe patterns. The technique may offer in some cases the prospects of removing the necessity for a phase unwrapping process altogether and/or speeding up the phase unwrapping process. This may be beneficial in terms of potential increases in signal recovery robustness and also for use in time-critical applications.
The Kerr-Schild ansatz revised
Bini, Donato; Kerr, Roy P
2014-01-01
Kerr-Schild metrics have been introduced as a linear superposition of the flat spacetime metric and a squared null vector field, say $\\boldsymbol{k}$, multiplied by some scalar function, say $H$. The basic assumption which led to Kerr solution was that $\\boldsymbol{k}$ be both geodesic and shearfree. This condition is relaxed here and Kerr-Schild ansatz is revised by treating Kerr-Schild metrics as {\\it exact linear perturbations} of Minkowski spacetime. The scalar function $H$ is taken as the perturbing function, so that Einstein's field equations are solved order by order in powers of $H$. It turns out that the congruence must be geodesic and shearfree as a consequence of third and second order equations, leading to an alternative derivation of Kerr solution.
Cyclotomic Gaudin Models: Construction and Bethe Ansatz
Vicedo, Benoît; Young, Charles
2016-05-01
To any finite-dimensional simple Lie algebra g and automorphism {σ: gto g we associate a cyclotomic Gaudin algebra. This is a large commutative subalgebra of {U(g)^{⊗ N}} generated by a hierarchy of cyclotomic Gaudin Hamiltonians. It reduces to the Gaudin algebra in the special case {σ =id}. We go on to construct joint eigenvectors and their eigenvalues for this hierarchy of cyclotomic Gaudin Hamiltonians, in the case of a spin chain consisting of a tensor product of Verma modules. To do so we generalize an approach to the Bethe ansatz due to Feigin, Frenkel and Reshetikhin involving vertex algebras and the Wakimoto construction. As part of this construction, we make use of a theorem concerning cyclotomic coinvariants, which we prove in a companion paper. As a byproduct, we obtain a cyclotomic generalization of the Schechtman-Varchenko formula for the weight function.
Holographic dynamics from multiscale entanglement renormalization ansatz
Chua, Victor; Passias, Vasilios; Tiwari, Apoorv; Ryu, Shinsei
2017-05-01
The multiscale entanglement renormalization ansatz (MERA) is a tensor network based variational ansatz that is capable of capturing many of the key physical properties of strongly correlated ground states such as criticality and topological order. MERA also shares many deep relationships with the AdS/CFT (gauge-gravity) correspondence by realizing a UV complete holographic duality within the tensor networks framework. Motivated by this, we have repurposed the MERA tensor network as an analysis tool to study the real-time evolution of the 1D transverse Ising model in its low-energy excited state sector. We performed this analysis by allowing the ancilla qubits of the MERA tensor network to acquire quantum fluctuations, which yields a unitary transform between the physical (boundary) and ancilla qubit (bulk) Hilbert spaces. This then defines a reversible quantum circuit, which is used as a "holographic transform" to study excited states and their real-time dynamics from the point of the bulk ancillae. In the gapped paramagnetic phase of the transverse field Ising model, we demonstrate the holographic duality between excited states induced by single spin-flips (Ising "magnons") acting on the ground state and single ancilla qubit spin flips. The single ancillae qubit excitation is shown to be stable in the bulk under real-time evolution and hence defines a stable holographic quasiparticle, which we have named the "hologron." Their bulk 2D Hamiltonian, energy spectrum, and dynamics within the MERA network are studied numerically. The "dictionary" between the bulk and boundary is determined and realizes many features of the holographic correspondence in a non-CFT limit of the boundary theory. As an added spin-off, this dictionary together with the extension to multihologron sectors gives us a systematic way to construct quantitatively accurate low-energy effective Hamiltonians.
Quelques applications de l'Ansatz de Bethe (Some applications of the Bethe Ansatz)
Zinn-Justin, P
1998-01-01
The Bethe Ansatz is a method that is used in quantum integrable models in order to solve them explicitly. This method is explained here in a general framework, which applies to 1D quantum spin chains, 2D statistical lattice models (vertex models) and relativistic field theories with 1 space dimension and 1 time dimension. The connection with quantum groups is expounded. Several applications are then presented. Finite size corrections are calculated via two methods: The Non-Linear Integral Equations, which are applied to the study of the states of the affine Toda model with imaginary coupling, and their interpolation between the high energy (ultra-violet) and low energy (infra-red) regions; and the Thermodynamic Bethe Ansatz Equations, along with the associated Fusion Equations, which are used to determine the thermodynamic properties of the generalized multi-channel Kondo model. The latter is then studied in more detail, still using the Bethe Ansatz and quantum groups, so as to characterize the spectrum of th...
A model for the parabolic slices Per1(e2πip/q) in moduli space of quadratic rational maps
Uhre, Eva
2010-01-01
The notion of relatedness loci in the parabolic slices Per1(e2πip/q) in moduli space of quadratic rational maps is introduced. They are counterparts of the disconnectedness or escape locus in the slice of quadratic polynomials. A model for these loci is presented, and a strategy of proof of the f...
Correlation functions and the algebraic Bethe ansatz in the AdS/CFT correspondence
Hernandez, Rafael
2014-01-01
Inverse scattering and the algebraic Bethe ansatz can be used to reduce the evaluation of form factors and correlation functions to the calculation of a product of Bethe states. In this article we develop a method to compute correlation functions of spin operators located at arbitrary sites of the spin chain. We will focus our analysis on the SU(2) sector of N=4 supersymmetric Yang-Mills at weak-coupling. At one-loop we provide a systematic treatment of the apparent divergences arising from the algebra of the elements of the monodromy matrix of an homogeneous spin chain. Beyond one-loop the analysis can be extended through the map of the long-range Bethe ansatz to an inhomogeneous spin chain. We also show that a careful normalization of states in the spin chain requires choosing them as Zamolodchikov-Faddeev states.
A variational matrix product ansatz for dispersion relations
Haegeman, Jutho; Weir, David J; Cirac, J Ignacio; Osborne, Tobias J; Verschelde, Henri; Verstraete, Frank
2011-01-01
A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient and stable implementation of the variational principle. Unlike previous approaches, the ansatz includes topologically non-trivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the S=1/2 XXZ antiferromagnet, the S=1 Heisenberg antiferromagnet and the S=1 XXZ antiferromagnet, and we obtain surprisingly accurate results.
Realization theory for rational systems
Ně mcová, J.; Schuppen, J.H. van
2008-01-01
In this paper we solve the problem of realization of response maps for rational systems. Sufficient and necessary conditions for a response map to be realizable by a rational system are presented. The properties of rational realizations such as observability, controllability, and minimality are stud
Off-diagonal Bethe ansatz for exactly solvable models
Wang, Yupeng; Cao, Junpeng; Shi, Kangjie
2015-01-01
This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models. It also presents some fundamental knowledge about quantum integrability and the algebraic Bethe Ansatz method. Based on the intrinsic properties of R-matrix and K-matrices, the book introduces a systematic method to construct operator identities of transfer matrix. These identities allow one to establish the inhomogeneous T-Q relation formalism to obtain Bethe Ansatz equations and to retrieve corresponding eigenstates. Several longstanding models can thus be solved via this method since the lack of obvious reference states is made up. Both the exact results and the off-diagonal Bethe Ansatz method itself may have important applications in the fields of quantum field theory, low-dimensional condensed matter physics, statistical physics and cold atom systems.
Hopfions interaction from the viewpoint of the product ansatz
Acus, A.; Norvaišas, E. [Vilnius University, Institute of Theoretical Physics and Astronomy, Goštauto 12, Vilnius 01108 (Lithuania); Shnir, Ya. [BLTP, JINR, Dubna (Russian Federation); Institute of Physics, Carl von Ossietzky University, Oldenburg (Germany)
2014-06-02
We discuss the relation between the solutions of the Skyrme model of lower degrees and the corresponding axially symmetric Hopfions which is given by the projection onto the coset space SU(2)/U(1). The interaction energy of the Hopfions is evaluated directly from the product ansatz. Our results show that if the separation between the constituents is not very small, the product ansatz can be considered as a relatively good approximation to the general pattern of the charge 1 Hopfions interaction both in repulsive and attractive channels.
Hopfions interaction from the viewpoint of the product ansatz
Acus, A; Shnir, Ya
2014-01-01
We discuss the relation between the solutions of the Skyrme model of lower degrees and the corresponding axially symmetric Hopfions which is given by the projection onto the coset space SU(2)/U(1). The interaction energy of the Hopfions is evaluated directly from the product ansatz. Our results show that if the separation between the constituents is not very small, the product ansatz can be considered as a relatively good approximation to the general pattern of the charge one Hopfions interaction both in repulsive and attractive channel.
Some Rational Conditions of Group Utopian Preference Mapping%群体理想偏爱映射的若干理性条件
洪振杰; 徐贤胜; 叶帆
2007-01-01
本文研究求解群体多目标最优化问题的理想偏爱法的性质,证明了对应的理想偏爱映射满足基数型群体决策规则的匿名性,中立性,正响应性,非负响应性,强Pareto原则以及局部非独裁性等理性条件.%Some cardinal rational conditions as anonymity, neutrality, positive responsiveness, nonnegative responsiveness, Pareto rule and local nondictatorship are defined and the group utopian preference mapping relative to group utopian preference method is proved to satisfy all these rational conditions.
Gulson, Kalervo N.; Webb, P. Taylor
2017-01-01
Contemporary education policy involves the integration of novel forms of data and the creation of new data platforms, in addition to the infusion of business principles into school governance networks, and intensification of socio-technical relations. In this paper, we examine how "computational rationality" may be understood as…
Coordinate Bethe ansatz for the string S-matrix
Leeuw, M de [Institute for Theoretical Physics and Spinoza Institute, Utrecht University, 3508 TD Utrecht (Netherlands)
2007-11-30
We use the coordinate Bethe ansatz approach to derive the nested Bethe equations corresponding to the recently found S-matrix for strings in AdS{sub 5} x S{sup 5}, compatible with centrally extended su(2 vertical bar 2) symmetry.
Bethe ansatz solution of triangular trimers on the triangular lattice
Verberkmoes, A.; Nienhuis, B.
2001-01-01
Recently, a model consisting of triangular trimers covering the triangular lattice was introduced and its exact free energy given. In this paper we present the complete calculation leading to this exact result. The solution involves a coordinate Bethe ansatz with two kinds of particles. It is simila
Coordinate Bethe Ansatz for Spin s XXX Model
Crampé, Nicolas; Ragoucy, Eric; Alonzi, Ludovic
2011-01-01
We compute the eigenfunctions and eigenvalues of the periodic integrable spin s XXX model using the coordinate Bethe ansatz. To do so, we compute explicitly the Hamiltonian of the model. These results generalize what has been obtained for spin 1/2 and spin 1 chains.
Generalized coordinate Bethe ansatz for non diagonal boundaries
Crampe, N
2011-01-01
We compute the spectrum and the eigenstates of the open XXX model with non-diagonal (triangular) boundary matrices. Since the boundary matrices are not diagonal, the usual coordinate Bethe ansatz does not work anymore, and we use a generalization of it to solve the problem.
Mayo, David J.
1998-01-01
The rational suicide paradigm is contrasted with the traditional view of the mental health professions. Historical background on suicide in western civilization is supplied and the concept of rationality elucidated. Parallels between the questions of refusing life-prolonging therapy and rational suicide are discussed, as are reasons for suicide.…
How algebraic Bethe ansatz works for integrable model
Fadeev, L
1996-01-01
I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated more superficially, only the specific details are given. Several parameters, appearing in these generalizations: spin s, anisotropy parameter \\ga, shift \\om in the alternating chain, allow to include in our treatment most known examples of soliton theory, including relativistic model of Quantum Field Theory.
Reflection Amplitudes of ADE Toda Theories and Thermodynamic Bethe Ansatz
Ahn, C; Kim, C; Rim, C; Yang, B; Ahn, Changrim; Kim, Chanju; Rim, Chaiho; Yang, Bedl
2000-01-01
We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed non-affine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization condition for the vacuum wave function, describing zero-mode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results.
Hu, Q; Vidal, G
2017-07-07
The generalization of the multiscale entanglement renormalization ansatz (MERA) to continuous systems, or cMERA [Haegeman et al., Phys. Rev. Lett. 110, 100402 (2013)PRLTAO0031-900710.1103/PhysRevLett.110.100402], is expected to become a powerful variational ansatz for the ground state of strongly interacting quantum field theories. In this Letter, we investigate, in the simpler context of Gaussian cMERA for free theories, the extent to which the cMERA state |Ψ^{Λ}⟩ with finite UV cutoff Λ can capture the spacetime symmetries of the ground state |Ψ⟩. For a free boson conformal field theory (CFT) in 1+1 dimensions, as a concrete example, we build a quasilocal unitary transformation V that maps |Ψ⟩ into |Ψ^{Λ}⟩ and show two main results. (i) Any spacetime symmetry of the ground state |Ψ⟩ is also mapped by V into a spacetime symmetry of the cMERA |Ψ^{Λ}⟩. However, while in the CFT, the stress-energy tensor T_{μν}(x) (in terms of which all the spacetime symmetry generators are expressed) is local, and the corresponding cMERA stress-energy tensor T_{μν}^{Λ}(x)=VT_{μν}(x)V^{†} is quasilocal. (ii) From the cMERA, we can extract quasilocal scaling operators O_{α}^{Λ}(x) characterized by the exact same scaling dimensions Δ_{α}, conformal spins s_{α}, operator product expansion coefficients C_{αβγ}, and central charge c as the original CFT. Finally, we argue that these results should also apply to interacting theories.
Hougaard, Jens Leth; Moreno-Ternero, Juan D.; Østerdal, Lars Peter Raahave
The standard problem of adjudicating conflicting claims describes a situation in which a given amount of a divisible good has to be allocated among agents who hold claims against it exceeding the available amount. This paper considers more general rationing problems in which, in addition to claims......, there exist baselines (to be interpreted as objective entitlements, ideal targets, or past consumption) that might play an important role in the allocation process. The model we present is able to accommodate real-life rationing situations, ranging from resource allocation in the public health care sector...... to international protocols for the reduction of greenhouse emissions, or water distribution in drought periods. We define a family of allocation methods for such general rationing problems - called baseline rationing rules - and provide an axiomatic characterization for it. Any baseline rationing rule within...
Gordon and Kerr-Schild ansatze in massive and bimetric gravity
Baccetti, Valentina; Visser, Matt
2012-01-01
We develop the "generalized Gordon ansatz" for the ghost-free versions of both massive and bimetric gravity, an ansatz which is general enough to include almost all spacetimes commonly considered to be physically interesting, and restricted enough to greatly simplify calculations. The ansatz allows explicit calculation of the matrix square root gamma = sqrt{g^{-1} f} appearing as a central feature of the ghost-free analysis. In particular, this ansatz automatically allows us to write the effective stress-energy tensor as that corresponding to a perfect fluid. A qualitatively similar "generalized Kerr-Schild ansatz" can also be easily considered, now leading to an effective stress-energy tensor that corresponds to a null fluid. Cosmological implications are considered, as are consequences for black hole physics. Finally we have a few words to say concerning the null energy condition in the framework provided by these ansatze.
Bethe Ansatz Solutions of the Bose-Hubbard Dimer
Jon Links
2006-12-01
Full Text Available The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly solved by Bethe ansatz methods. Here we review the known exact solutions, highlighting the contributions of V.B. Kuznetsov to this field. Two of the exact solutions arise in the context of the Quantum Inverse Scattering Method, while the third solution uses a differential operator realisation of the su(2 Lie algebra.
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
Sh. Khachatryan
2015-10-01
Full Text Available We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz approach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of particles, the quark-anti-quark (meson scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability.
An ansatz for solving nonlinear partial differential equations in mathematical physics
Akbar, M. Ali; Ali, Norhashidah Hj Mohd
2016-01-01
In this article, we introduce an ansatz involving exact traveling wave solutions to nonlinear partial differential equations. To obtain wave solutions using direct method, the choice of an appropriate ansatz is of great importance. We apply this ansatz to examine new and further general traveling wave solutions to the (1+1)-dimensional modified Benjamin–Bona–Mahony equation. Abundant traveling wave solutions are derived including solitons, singular solitons, periodic solutions and general sol...
Novel Ansatzes and Scalar Quantities in Gravito-Electromagnetism
Bakopoulos, Athanasios
2016-01-01
In this work, we focus on the theory of Gravito-Electromagnetism (GEM) -- the theory that describes the dynamics of the gravitational field in terms of quantities met in Electromagnetism -- and we propose two novel forms of metric perturbations. The first one is a generalisation of the traditional GEM ansatz, and succeeds in reproducing the whole set of Maxwell's equations even for a dynamical vector potential A. The second form, the so-called alternative ansatz, goes beyond that leading to an expression for the Lorentz force that matches the one of Electromagnetism and is free of additional terms even for a dynamical scalar potential \\Phi. In the context of the linearised theory, we then search for scalar invariant quantities in analogy to Electromagnetism. We define three novel, 3rd-rank gravitational tensors, and demonstrate that the last two can be employed to construct scalar quantities that succeed in giving results very similar to those found in Electromagnetism. Finally, the gauge invariance of the li...
Novel ansatzes and scalar quantities in gravito-electromagnetism
Bakopoulos, A.; Kanti, P.
2017-03-01
In this work, we focus on the theory of gravito-electromagnetism (GEM)—the theory that describes the dynamics of the gravitational field in terms of quantities met in electromagnetism—and we propose two novel forms of metric perturbations. The first one is a generalisation of the traditional GEM ansatz, and succeeds in reproducing the whole set of Maxwell's equations even for a dynamical vector potential A. The second form, the so-called alternative ansatz, goes beyond that leading to an expression for the Lorentz force that matches the one of electromagnetism and is free of additional terms even for a dynamical scalar potential Φ. In the context of the linearised theory, we then search for scalar invariant quantities in analogy to electromagnetism. We define three novel, 3rd-rank gravitational tensors, and demonstrate that the last two can be employed to construct scalar quantities that succeed in giving results very similar to those found in electromagnetism. Finally, the gauge invariance of the linearised gravitational theory is studied, and shown to lead to the gauge invariance of the GEM fields E and B for a general configuration of the arbitrary vector involved in the coordinate transformations.
Blackett, S.A. [Univ. of Auckland (New Zealand). Dept of Engineering Science
1996-02-01
Numerical analysis is an important part of Engineering. Frequently relationships are not adequately understood, or too complicated to be represented by theoretical formulae. Instead, empirical approximations based on observed relationships can be used for simple fast and accurate evaluations. Historically, storage of data has been a large constraint on approximately methods. So the challenge is to find a sufficiently accurate representation of data which is valid over as large a range as possible while requiring the storage of only a few numerical values. Polynomials, popular as approximation functions because of their simplicity, can be used to represent simple data. Equation 1.1 shows a simple 3rd order polynomial approximation. However, just increasing the order and number of terms included in a polynomial approximation does not improve the overall result. Although the function may fit exactly to observed data, between these points it is likely that the approximation is increasingly less smooth and probably inadequate. An alternative to adding further terms to the approximation is to make the approximation rational. Equation 1.2 shows a rational polynomial, 3rd order in the numerator and denominator. A rational polynomial approximation allows poles and this can greatly enhance an approximation. In Sections 2 and 3 two different methods for fitting rational polynomials to a given data set are detailed. In Section 4, consideration is given to different rational polynomials used on adjacent regions. Section 5 shows the performance of the rational polynomial algorithms. Conclusions are presented in Section 6.
Off-diagonal Bethe ansatz solution of the XXX spin chain with arbitrary boundary conditions
Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng
2013-10-01
Employing the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the XXX spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated T-Q relation and the Bethe ansatz equations are derived.
Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
Cao, Junpeng; Shi, Kangjie; Wang, Yupeng
2013-01-01
With the off-diagonal Bethe ansatz method proposed recently by the present authors, we exactly diagonalize the $XXX$ spin chain with arbitrary boundary fields. By constructing a functional relation between the eigenvalues of the transfer matrix and the quantum determinant, the associated $T-Q$ relation and the Bethe ansatz equations are derived.
Bethe ansatz matrix elements as non-relativistic limits of form factors of quantum field theory
Kormos, M.; Mussardo, G.; Pozsgay, B.
2010-01-01
We show that the matrix elements of integrable models computed by the algebraic Bethe ansatz (BA) can be put in direct correspondence with the form factors of integrable relativistic field theories. This happens when the S-matrix of a Bethe ansatz model can be regarded as a suitable non-relativistic
Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries
Gombor, Tamas
2015-01-01
The finite volume problem of O(2N) sigma models with integrable diagonal boundaries on a finite interval is investigated. The double row transfer matrix is diagonalized by Algebraic Bethe Ansatz. The boundary Bethe Yang equations for the particle rapidities and the accompanying Bethe Ansatz equations are derived.
Gravitational instantons of type $D_k$ and a generalization of the Gibbons-Hawking Ansatz
Ionas, Radu A
2016-01-01
We describe a quaternionic-based Ansatz generalizing the Gibbons-Hawking Ansatz to a class of hyperk\\"ahler metrics with hidden symmetries. We then apply it to obtain explicit expressions for gravitational instanton metrics of type $D_k$.
Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries
Gombor, Tamás [MTA Lendület Holographic QFT Group, Wigner Research Centre,H-1525 Budapest 114, P.O.B. 49 (Hungary); Institute for Theoretical Physics, Roland Eötvös University,1117 Budapest, Pázmány s. 1/A (Hungary); Palla, László [Institute for Theoretical Physics, Roland Eötvös University,1117 Budapest, Pázmány s. 1/A (Hungary)
2016-02-24
The finite volume problem of O(2N) sigma models with integrable diagonal boundaries on a finite interval is investigated. The double row transfer matrix is diagonalized by Algebraic Bethe Ansatz. The boundary Bethe Yang equations for the particle rapidities and the accompanying Bethe Ansatz equations are derived.
An ansatz for solving nonlinear partial differential equations in mathematical physics.
Akbar, M Ali; Ali, Norhashidah Hj Mohd
2016-01-01
In this article, we introduce an ansatz involving exact traveling wave solutions to nonlinear partial differential equations. To obtain wave solutions using direct method, the choice of an appropriate ansatz is of great importance. We apply this ansatz to examine new and further general traveling wave solutions to the (1+1)-dimensional modified Benjamin-Bona-Mahony equation. Abundant traveling wave solutions are derived including solitons, singular solitons, periodic solutions and general solitary wave solutions. The solutions emphasize the nobility of this ansatz in providing distinct solutions to various tangible phenomena in nonlinear science and engineering. The ansatz could be more efficient tool to deal with higher dimensional nonlinear evolution equations which frequently arise in many real world physical problems.
Tensor Network Renormalization Yields the Multiscale Entanglement Renormalization Ansatz
Evenbly, G.; Vidal, G.
2015-11-01
We show how to build a multiscale entanglement renormalization ansatz (MERA) representation of the ground state of a many-body Hamiltonian H by applying the recently proposed tensor network renormalization [G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)] to the Euclidean time evolution operator e-β H for infinite β . This approach bypasses the costly energy minimization of previous MERA algorithms and, when applied to finite inverse temperature β , produces a MERA representation of a thermal Gibbs state. Our construction endows tensor network renormalization with a renormalization group flow in the space of wave functions and Hamiltonians (and not merely in the more abstract space of tensors) and extends the MERA formalism to classical statistical systems.
Discontinuites of BFKL amplitudes and the BDS ansatz
Fadin, V S
2015-01-01
We perform an examination of discontinuities of multiple production amplitudes, which are required for further development of the BFKL approach. It turns out that the discontinuities of 2 $\\to$ 2 + n amplitudes obtained in the BFKL approach contradict to the BDS ansatz for amplitudes with maximal helicity violation in N = 4 supersymmetric Yang-Mills theory with large number of colours starting with n = 2. Explicit expressions for the discontinuities of the 2 $\\to$ 3 and 2 $\\to$ 4 amplitudes in the invariant mass of pairs of produced gluons are obtained in the planar N=4 SYM in the next-to-leading logarithmic approximation. These expressions can be used for checking the conjectured duality between the light-like Wilson loops and the MHV amplitudes.
Discontinuities of BFKL amplitudes and the BDS ansatz
Fadin, V. S.; Fiore, R.
2015-12-01
We perform an examination of discontinuities of multiple production amplitudes, which are required for further development of the BFKL approach. It turns out that the discontinuities of 2 → 2 + n amplitudes obtained in the BFKL approach contradict to the BDS ansatz for amplitudes with maximal helicity violation in N = 4 supersymmetric Yang-Mills theory with large number of colors starting with n = 2. Explicit expressions for the discontinuities of the 2 → 3 and 2 → 4 amplitudes in the invariant mass of pairs of produced gluons are obtained in the planar N = 4 SYM in the next-to-leading logarithmic approximation. These expressions can be used for checking the conjectured duality between the light-like Wilson loops and the MHV amplitudes.
Critical phenomena in one dimension from a Bethe ansatz perspective
Guan, Xiwen
2014-08-01
This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb-Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids (LLs), the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.
Discontinuities of BFKL amplitudes and the BDS ansatz
V.S. Fadin
2015-12-01
Full Text Available We perform an examination of discontinuities of multiple production amplitudes, which are required for further development of the BFKL approach. It turns out that the discontinuities of 2→2+n amplitudes obtained in the BFKL approach contradict to the BDS ansatz for amplitudes with maximal helicity violation in N=4 supersymmetric Yang–Mills theory with large number of colors starting with n=2. Explicit expressions for the discontinuities of the 2→3 and 2→4 amplitudes in the invariant mass of pairs of produced gluons are obtained in the planar N=4 SYM in the next-to-leading logarithmic approximation. These expressions can be used for checking the conjectured duality between the light-like Wilson loops and the MHV amplitudes.
Twist-three at five loops, Bethe Ansatz and wrapping
Beccaria, M; Lukowski, T; Zieme, S
2009-01-01
We present a formula for the five-loop anomalous dimension of N=4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luescher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist-two anomalous dimension at four-loops, wrapping effects are of order log^2 M/M^2 for large values of the spin.
Tensor Network Renormalization Yields the Multiscale Entanglement Renormalization Ansatz.
Evenbly, G; Vidal, G
2015-11-13
We show how to build a multiscale entanglement renormalization ansatz (MERA) representation of the ground state of a many-body Hamiltonian H by applying the recently proposed tensor network renormalization [G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)] to the Euclidean time evolution operator e(-βH) for infinite β. This approach bypasses the costly energy minimization of previous MERA algorithms and, when applied to finite inverse temperature β, produces a MERA representation of a thermal Gibbs state. Our construction endows tensor network renormalization with a renormalization group flow in the space of wave functions and Hamiltonians (and not merely in the more abstract space of tensors) and extends the MERA formalism to classical statistical systems.
Ein Integraler Gestalt-Ansatz fuer Therapie und Beratung
Martina Gremmler-Fuhr
2005-06-01
Full Text Available Zusammenfassung: In diesem Text stellen wir unseren Ansatz für Psychotherapie und Beratung auf dem Hintergrund des integralen Paradigmas dar. Wir erläutern zunächst kurz vier Anforderungen an ein integrales Konzept in diesem professionellen Bereich: Umgang mit Komplexität und Vielperspektivität, Berücksichtigung gerichteter, vieldimensionaler Entwicklung, Orientierungs- und Sinngebungsfunktion, Realisierung relationaler Qualitäten in der Arbeit. Nach einer Begriffsbestimmung von „Therapie“, „Beratung“ und „Bildung“ charakterisieren wir das seit vielen Jahren von uns entwickelte Konzept für den Integralen Gestalt-Ansatz unter den Fragen nach (1 den Intentionen und Aufgaben von Therapie und Beratung, (2 der Gestaltung der Kommunikation und Beziehung, (3 der Art der Problemdefinition und dem Umgang mit Diagnostik sowie (4 den Strategien und Methoden – alle unter Rückkopplung an die zuvor erläuterten Anforderungen an ein integrales Konzept. Abstract: In this text we present our approach to psychotherapy and counseling on the background of the integral paradigm. We shortly explain four major requirements for such an integral concept: handling complexity and multi-perspectivity, considering directed and multi-dimensional development, offering orientation and meaning, relational qualities. After defining the terms „psychotherapy“, „counselling“, and „education“ we present our concept for the Integral Gestalt Approach which we have developed and evaluated for many years by dealing with four questions: (1 the intentions and tasks of therapy and counselling, (2 the formation of communication and relationship, (3 the specific way of defining problems and using diagnostics, and (4 the strategies and methods – all related back to the major requirements of an integral concept.
Macmillan, C. J. B.
1985-01-01
The recognition of teaching as a special relationship among individuals is currently being overlooked in much contemporary educational research and policymaking. The author examines the philosophy of rationality in teaching and relates it to the educational vision presented in George Orwell's novel, "Nineteen Eighty-Four." (CB)
Lam, Chi-Ming
2014-01-01
Nowadays, there is still a widely held view that the Chinese and Western modes of thought are quite distinct from each other. In particular, the Chinese mode of thought derived from Confucianism is considered as comparatively less rational than the Western one. In this article, I first argue that although the analogical mode of argumentation,…
Georg Spielthenner
2007-01-01
Full Text Available Valuations are ubiquitous. We may be for or against genetically modified food; we find some politicians irresponsible; we prefer Beethoven to rock ‘n’ roll or vice versa; some enjoy bird-watching while others find it boring; and we may think that we have to tighten up on green-house gas emissions. Valuing is pervasive and often we are not even aware that we are valuing. However, many of ourvaluations are ill grounded and rationally defective. They are frequently based on misinformation, sloppy thinking, prejudice, and are biased in many ways as psychological research shows. For this reason there is widespread agreement among phi-losophers that we need an account of substantive valuational rationality, both for the theory of practical reasoning and for ethics as well. My main objectin this paper is to outline such an account and to present a principle that allows a non-technical rational criticism of valuations
Off-diagonal Bethe Ansatz solution of the $\\tau_2$-model
Xu, Xiaotian; Cui, Shuai; Yang, Wen-Li; Shi, Kangjie; Wang, Yupeng
2015-01-01
The generic quantum $\\tau_2$-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix (solutions of the recursive functional relations in $\\tau_j$-hierarchy) with generic site-dependent inhomogeneity parameters are given in terms of an inhomogeneous T-Q relation with polynomial Q-functions. The associated Bethe Ansatz equations are obtained. Numerical solutions of the Bethe Ansatz equations for small number of sites indicate that the inhomogeneous T-Q relation does indeed give the complete spectrum.
Off-diagonal Bethe Ansatz solution of the τ{sub 2}-model
Xu, Xiaotian [Institute of Modern Physics, Northwest University,Xian 710069 (China); Cao, Junpeng [Beijing National Laboratory for Condensed Matter Physics,Institute of Physics, Chinese Academy of Sciences,Beijing 100190 (China); Collaborative Innovation Center of Quantum Matter,Beijing (China); Cui, Shuai [Beijing National Laboratory for Condensed Matter Physics,Institute of Physics, Chinese Academy of Sciences,Beijing 100190 (China); Yang, Wen-Li [Institute of Modern Physics, Northwest University,Xian 710069 (China); Beijing Center for Mathematics and Information Interdisciplinary Sciences,Beijing 100048 (China); Shi, Kangjie [Institute of Modern Physics, Northwest University,Xian 710069 (China); Wang, Yupeng [Beijing National Laboratory for Condensed Matter Physics,Institute of Physics, Chinese Academy of Sciences,Beijing 100190 (China); Collaborative Innovation Center of Quantum Matter,Beijing (China)
2015-09-30
The generic quantum τ{sub 2}-model (also known as Baxter-Bazhanov-Stroganov (BBS) model) with periodic boundary condition is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix (solutions of the recursive functional relations in τ{sub j}-hierarchy) with generic site-dependent inhomogeneity parameters are given in terms of an inhomogeneous T−Q relation with polynomial Q-functions. The associated Bethe Ansatz equations are obtained. Numerical solutions of the Bethe Ansatz equations for small number of sites indicate that the inhomogeneous T−Q relation does indeed give the complete spectrum.
Ballester Pla, Coralio
2012-03-01
Full Text Available The observation of the actual behavior by economic decision makers in the lab and in the field justifies that bounded rationality has been a generally accepted assumption in many socio-economic models. The goal of this paper is to illustrate the difficulties involved in providing a correct definition of what a rational (or irrational agent is. In this paper we describe two frameworks that employ different approaches for analyzing bounded rationality. The first is a spatial segregation set-up that encompasses two optimization methodologies: backward induction and forward induction. The main result is that, even under the same state of knowledge, rational and non-rational agents may match their actions. The second framework elaborates on the relationship between irrationality and informational restrictions. We use the beauty contest (Nagel, 1995 as a device to explain this relationship.
La observación del comportamiento de los agentes económicos tanto en el laboratorio como en la vida real justifica que la racionalidad acotada sea un supuesto aceptado en numerosos modelos socio-económicos. El objetivo de este artículo es ilustrar las dificultades que conlleva una correcta definición de qué es un agente racional (irracional. En este artículo se describen dos marcos que emplean diferentes metodologías para analizar la racionalidad acotada. El primero es un modelo de segregación espacial donde se contrastan dos metodologías de optimización: inducción hacia atrás y hacia adelante. El resultado principal es que, incluso con el mismo nivel de conocimiento, tanto agentes racionales como irracionales podrían coincidir en sus acciones. El segundo marco trabaja sobre la relación entre irracionalidad y restricción de información. Se utiliza el juego llamado “beauty contest” (Nagel 1995 como mecanismo para explicar dicha relación.
Toward a standard model 2, via Kaluza ansatz 2
Batakis, Nikolaos A
2012-01-01
New results and perspectives precipitate from the (modified as) Kaluza ansatz 2 (KA2), whereby, instead of appending $n$ Planck-scale (${\\rm L_o}$) compact SL dimensions to ordinary 4D spacetime, one augments $n$ such dimensions by 3 large ones. By KA2, the fundamental role of gravity in the dynamics of vacuum geometry is being conceded to the remaining fundamental interactions. The ground state in KA2 is of the form $\\bar{\\cal M}^{n+4}=\\bar{\\cal C}^{n+1}\\times\\IR^3$, where the static (averaged-out over scales ${\\rm L}>>{\\rm L_o}$) $\\bar{\\cal C}^{n+1}$ carries {\\em effective torsion} as relic of the deeper vacuum dynamics at Planck scale. For the simplest non-trivial implementation of KA2, the Bianchi IX subclass of SU(2)-invariant ${\\cal B}^4_{\\rm IX}$ provides the $\\bar{\\cal C}^5=\\bar{\\cal B}^4_{\\rm M}\\times S^1$, with the $S^1$ coming from 'augmentability', a complement to compactification. The classical action involves (i) the gravitational and EW sectors in elegant {\\em hierarchy}, (ii) the {\\em higgsles...
Linking Chains Together: String Bits And The Bethe Ansatz
Lübcke, M
2004-01-01
This thesis is divided into two parts. In the first part we focus mainly on certain aspects of the AdS/CFT correspondence. The AdS/CFT correspondence is a proposed duality between Type IIB superstring theory on AdS5 × S5 and N = 4 supersymmetric Yang-Mills theory. In the BMN limit string states located in the center of AdS5 rotate quickly around the equator of the S5 and correspond, in the dual theory, to operators constructed as long chains of sub-operators. This structure of the operators can be formulated as a spin chain and by using the Bethe ansatz their properties can be obtained by solving a set of Bethe equations. Having infinitely many sub-operators, there are methods for solving the Bethe equations in certain sectors. In paper III finite size corrections to the anomalous dimensions in the SU(2) sector are calculated to leading order. Inspired by the chain structure of the corresponding operators, the theory of string bits treats the strings as a discrete sets of points. This theory suffers...
Hidden Relation between Reflection Amplitudes and Thermodynamic Bethe Ansatz
Ahn, C; Rim, C; Ahn, Changrim; Kim, Chanju; Rim, Chaiho
1999-01-01
In this paper we compute the scaling functions of the effective central charges for various quantum integrable models in a deep ultraviolet region $R\\to 0$ using two independent methods. One is based on the ``reflection amplitudes'' of the (super-)Liouville field theory where the scaling functions are given by the conjugate momentum to the zero-modes. The conjugate momentum is quantized for the sinh-Gordon, the Bullough-Dodd, and the super sinh-Gordon models where the quantization conditions depend on the size $R$ of the system and the reflection amplitudes. The other method is to solve the standard thermodynamic Bethe ansatz (TBA) equations for the integrable models in a perturbative series of $1/(const. - \\ln R)$. The constant factor which is not fixed in the lowest order computations can be identified {\\it only when} we compare the higher order corrections with the quantization conditions. Numerical TBA analysis shows a perfect match for the scaling functions obtained by the first method. Our results show ...
BETHE ANSATZ FOR SUPERSYMMETRIC MODEL WITH?Uq[osp( 1｜2 ) ] SYMMETRY
杨文力
2001-01-01
Using the algebraic Bethe ansatz method, we obtain the eigenvalues of the transfer matrix of the supersymmetric model with Uq[osp(1｜2)] symmetry under periodic boundary and twisted boundary conditions.
Algebraic Bethe Ansatz for the Osp(1|2) Model with Reflecting Boundaries
YUE Rui-Hong; XIONG Chuan-Hua
2001-01-01
In the framework of graded quantum inverse scattering method, we obtain the eigenvalues and the eigenvectors of the Osp(l|2) model with reflecting boundary conditions in FBF background. The corresponding Bathe ansatz equations are obtained.
Binmore, Ken
2008-01-01
It is widely held that Bayesian decision theory is the final word on how a rational person should make decisions. However, Leonard Savage--the inventor of Bayesian decision theory--argued that it would be ridiculous to use his theory outside the kind of small world in which it is always possible to ""look before you leap."" If taken seriously, this view makes Bayesian decision theory inappropriate for the large worlds of scientific discovery and macroeconomic enterprise. When is it correct to use Bayesian decision theory--and when does it need to be modified? Using a minimum of mathematics,
Mass Ansatze for the standard model fermions from a composite perspective
Fariborz, Amir H; Nasri, Salah
2016-01-01
We consider a composite model in which the standard model fermions are bound states of elementary spin $\\frac{1}{2}$ particles, the preons, situated in the conjugate product representation of the color group. In this framework we propose and analyze two mass Ansatze one for the leptons, the other one for the quarks, based on mass formulae of the Gell-Mann Okubo type. We find that these mass Ansatze can give an adequate description of the known standard model fermion masses.
Spin-12 XYZ model revisit: General solutions via off-diagonal Bethe ansatz
Junpeng Cao
2014-09-01
Full Text Available The spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T–Q relations, which allow us to treat both the even N (the number of lattice sites and odd N cases simultaneously in a unified approach.
Xiaotian Xu
2015-09-01
Full Text Available The small polaron, a one-dimensional lattice model of interacting spinless fermions, with generic non-diagonal boundary terms is studied by the off-diagonal Bethe ansatz method. The presence of the Grassmann valued non-diagonal boundary fields gives rise to a typical U(1-symmetry-broken fermionic model. The exact spectra of the Hamiltonian and the associated Bethe ansatz equations are derived by constructing an inhomogeneous T–Q relation.
Bethe ansatz solution of the $\\tau_2$-model with arbitrary boundary fields
Xu, Xiaotian; Yang, Tao; Cao, Junpeng; Yang, Wen-Li; Shi, Kangjie
2016-01-01
The quantum $\\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an inhomogeneous T-Q relation, which is based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices. Moreover, the associated Bethe Ansatz equations are also obtained.
Rationalization: A Bibliography.
Pedrini, D. T.; Pedrini, Bonnie C.
Rationalization was studied by Sigmund Freud and was specifically labeled by Ernest Jones. Rationalization ought to be differentiated from rational, rationality, logical analysis, etc. On the one hand, rationalization is considered a defense mechanism, on the other hand, rationality is not. Haan has done much work with self-report inventories and…
Rational inattention or rational overreaction?
Browning, Martin; Hansen, Lars Gårn; Smed, Sinne
We investigate differences in how consumers of fish react to health information in the mass media. We specify a dynamic empirical model that allows for heterogeneity in all basic parameters of consumer behavior as well as in how consumers react to information. We estimate the model using a unique...... houshold panel tracking consumption, prices, news stories and media habits over 24 quarters. We fi nd that the consumers most likely to be ’rationally ignorant’ of health effects react more dramatically to health news than the consumers who most likely are well informed....
Rational inattention or rational overreaction?
Browning, Martin; Hansen, Lars Gårn; Smed, Sinne
We investigate differences in how consumers of fish react to health information in the mass media. We specify a dynamic empirical model that allows for heterogeneity in all basic parameters of consumer behavior as well as in how consumers react to information. We estimate the model using a unique...... houshold panel tracking consumption, prices, news stories and media habits over 24 quarters. We fi nd that the consumers most likely to be ’rationally ignorant’ of health effects react more dramatically to health news than the consumers who most likely are well informed....
Monodromy Substitutions and Rational Blowdowns
Endo, Hisaaki; van Horn-Morris, Jeremy
2010-01-01
We introduce several new families of relations in the mapping class groups of planar surfaces, each equating two products of right-handed Dehn twists. The interest of these relations lies in their geometric interpretation in terms of rational blowdowns of 4-manifolds, specifically via monodromy substitution in Lefschetz fibrations. The simplest example is the lantern relation, already shown by the first author and Gurtas to correspond to rational blowdown along a -4 sphere; here we give relations that extend that result to realize the "generalized" rational blowdowns of Fintushel-Stern and Park by monodromy subsitution, as well as several of the families of rational blowdowns discovered by Stipsicz-Szab\\'o-Wahl.
Angeles, Jorge
1988-01-01
A rational study of kinematics is a treatment of the subject based on invariants, i.e., quantities that remain essentially unchanged under a change of observer. An observer is understood to be a reference frame supplied with a clock (Truesdell 1966). This study will therefore include an introduction to invariants. The language of these is tensor analysis and multilinear algebra, both of which share many isomorphic relations, These subjects are treated in full detail in Ericksen (1960) and Bowen and Wang (1976), and hence will not be included here. Only a short account of notation and definitions will be presented. Moreover, definitions and basic concepts pertaining to the kinematics of rigid bodies will be also included. Although the kinematics of rigid bodies can be regarded as a particular case of the kinematics of continua, the former deserves attention on its own merits for several reasons. One of these is that it describes locally the motions undergone by continua. Another reason is that a whole area of ...
Single-Field Inflation and the Local Ansatz: Distinguishability and Consistency
de Putter, Roland; Green, Daniel; Meyers, Joel
2016-01-01
The single-field consistency conditions and the local ansatz have played separate but important roles in characterizing the non-Gaussian signatures of single- and multifield inflation respectively. We explore the precise relationship between these two approaches and their predictions. We demonstrate that the predictions of the single-field consistency conditions can never be satisfied by a general local ansatz with deviations necessarily arising at order $(n_s-1)^2$. This implies that there is, in principle, a minimum difference between single- and (fully local) multifield inflation in observables sensitive to the squeezed limit such as scale-dependent halo bias. We also explore some potential observational implications of the consistency conditions and its relationship to the local ansatz. In particular, we propose a new scheme to test the consistency relations. In analogy with delensing of the cosmic microwave background, one can deproject the coupling of the long wavelength modes with the short wavelength ...
Testing an Ansatz for the Leading Secular Loop Corrections from Quantum Gravity during Inflation
Basu, S
2016-01-01
It is widely believed that the leading secular loop corrections from quantum gravity can be subsumed into a coordinate redefinition. Hence the apparent infrared logarithm corrections to any quantity would be just the result of taking the expectation value of the tree order quantity at the transformed coordinates in the graviton vacuum. We term this the Transformation Ansatz and we compare its predictions against explicit one loop computations in Maxwell + Einstein and Dirac + Einstein on de Sitter background. In each case the ansatz fails.
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Belliard, Samuel; Crampé, Nicolas
2013-11-01
We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations) formally similar to the ones obtained in the periodic case or with diagonal boundaries.
Multi-Regge limit of the n-gluon bubble ansatz
Bartels, J. [Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik; Schomerus, V.; Sprenger, M. [Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
2012-07-15
We investigate n-gluon scattering amplitudes in the multi-Regge region of N=4 supersymmetric Yang-Mills theory at strong coupling. Through a careful analysis of the thermodynamic bubble ansatz (TBA) for surfaces in AdS{sub 5} with n-g(lu)on boundary conditions we demonstrate that the multi-Regge limit probes the large volume regime of the TBA. In reaching the multi-Regge regime we encounter wall-crossing in the TBA for all n>6. Our results imply that there exists an auxiliary system of algebraic Bethe ansatz equations which encode valuable information on the analytical structure of amplitudes at strong coupling.
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Samuel Belliard
2013-11-01
Full Text Available We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations formally similar to the ones obtained in the periodic case or with diagonal boundaries.
Heisenberg XXX model with general boundaries: Eigenvectors from Algebraic Bethe ansatz
Belliard, S
2013-01-01
We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. The ansatz takes the usual form of a product of operators acting on a particular vector except that the number of operators is equal to the length of the chain. We prove this result for the chains with small length. We obtain also an off-shell equation (i.e. satisfied without the Bethe equations) formally similar to the ones obtained in the periodic case or with diagonal boundaries.
Preiser, K.; Schweizer-Ries, P.; Parodi, O. [Fraunhofer-Institut fuer Solare Energiesysteme (ISE), Freiburg im Breisgau (Germany)
2000-07-01
An approach integrating the interplay of social potentials, natural resources and technology into a consistent concept is the socio-technical systems approach based on system theory. The contribution here explains this approach and reports a successful application, the introduction of the Solar Home System in a rural area of Argentina. (CB) [German] Eine Betrachtungsweise, die das Zusammenspiel von sozialen Potenzialen, natuerlichen Ressourcen und Technik in ihr Konzept einfuegt, ist der auf der Systemtheorie basierende sozio-technische Ansatz. Der Beitrag schildert diesen Ansatz und ein Erfolgsbeispiel aus Argentinien, das Solar Home System. (orig./CB)
Testing an ansatz for the leading secular loop corrections from quantum gravity during inflation
Basu, S.; Woodard, R. P.
2016-10-01
It is widely believed that the leading secular loop corrections from quantum gravity can be subsumed into a coordinate redefinition. Hence the apparent infrared logarithm corrections to any quantity would be just the result of taking the expectation value of the tree order quantity at the transformed coordinates in the graviton vacuum. We term this the transformation ansatz and we compare its predictions against explicit one loop computations in Maxwell + Einstein and Dirac + Einstein on de Sitter background. In each case the ansatz fails.
Algebraic Bethe Ansatz Solution to CN Vertex Model with Open Boundary Conditions
LI Guang-Liang; SHI Kang-Jie; YUE Rui-Hong
2005-01-01
We present three diagonal reflecting matrices for the CN vertex model with open boundary conditions and exactly solve the model by using the algebraic Bethe ansatz. The eigenvector is constructed and the eigenvalue and the associated Bethe equations are achieved. All the unwanted terms are cancelled out by three kinds of identities.
A self-consistent determination of the RVB and SC gaps in the YRZ ansatz
Rao, Zi-Ye; Wang, Xiao-Min; Jiang, Hong-Min
2017-03-01
A correct understanding of the origin of the pseudogap in high temperature (high-T c) cuprate superconductors is considered to be a peripheral breakthrough in the understanding of the microscopic mechanism of the high-T c superconductivity. Yang-Rice-Zhang (YRZ) ansatz is an important phenomenological theory to describe the phenomenon of pseudogap. However, in the framework of YRZ, the pseudogap (resonant valence bond (RVB) gap) and the superconducting (SC) gap are unable to have a self-consistent determination at different doping concentrations, and this severely limits the application of the YRZ ansatz. Based on the YRZ ansatz, this study develops a technical method to determine the RVB and SC gaps in a self-consistent manner. It is revealed that the self-consistent calculations of the doping dependence of RVB, SC gaps and spectral function are not only consistent with the empirical gap formula in the YRZ framework, but also consistent with the doping evolution of the Fermi surface observed in the angle-resolved photoemission spectroscopy (ARPES) experiments. Our method will greatly extend the applications of the YRZ ansatz, and will deepen our understanding of the origin of pseudogap as well as the mechanism of high-T c superconductivity.
Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain
Nepomechie, Rafael I., E-mail: nepomechie@physics.miami.edu [Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124 (United States); Pimenta, Rodrigo A., E-mail: pimenta@df.ufscar.br [Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124 (United States); Departamento de Física, Universidade Federal de São Carlos, Caixa Postal 676, CEP 13565-905, São Carlos (Brazil)
2016-09-15
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.
Algebraic Bethe ansatz for the Temperley–Lieb spin-1 chain
Rafael I. Nepomechie
2016-09-01
Full Text Available We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley–Lieb open quantum chain with “free” boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.
Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
Nepomechie, Rafael I
2016-01-01
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.
Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain
Nepomechie, Rafael I.; Pimenta, Rodrigo A.
2016-09-01
We use the algebraic Bethe ansatz to obtain the eigenvalues and eigenvectors of the spin-1 Temperley-Lieb open quantum chain with "free" boundary conditions. We exploit the associated reflection algebra in order to prove the off-shell equation satisfied by the Bethe vectors.
Mishra, A.K., E-mail: mishra@imsc.res.i [Insitituto Nacional de Pesquidas Espaciais - INPE, P.O. Box 103, CP 515, S. J. Campos, SP 12245-970 (Brazil); Kishore, R., E-mail: kishore@las.inpe.b [Insitituto Nacional de Pesquidas Espaciais - INPE, P.O. Box 103, CP 515, S. J. Campos, SP 12245-970 (Brazil)
2009-10-15
The exact nested Bethe ansatz solution for the one dimensional (1-D) U infinity Hubbard model show that the state vectors are a product of spin-less fermion and spin wavefunctions, or an appropriate superposition of such factorized wavefunctions. The spin-less fermion component of the wavefunctions ensures no double occupancy at any site. It had been demonstrated that the nested Bethe ansatz wavefunctions in the U infinity limit obey orthofermi statistics. Gutzwiller projection operator formalism is the another well known technique employed to handle U infinity Hubbard model. In general, this approach does not lead to spin-less fermion wavefunctions. Therefore, the nested Bethe ansatz and Gutzwiller projection operator approach give rise to different kinds of the wavefunctions for the U infinity limit of 1-D Hubbard Hamiltonian. To compare the consequences of this dissimilarity in the wavefunctions, we have obtained the ground state energy of a finite system consisting of three particles on a four site closed chain. It is shown that in the nested Bethe ansatz implemented through orthofermion algebra, all the permissible 2{sup 3} spin configurations are degenerate in the ground state. This eight fold degeneracy of the ground state is absent in the Gutzwiller projection operator approach. This finding becomes relevant in the context of known exact U infinity results, which require that all the energy levels are 2{sup N}-fold degenerate for an N particle system.
The Bethe ansatz for AdS5 × S5 bound states
de Leeuw, M.
2009-01-01
We reformulate the nested coordinate Bethe ansatz in terms of coproducts of Yangian symmetry generators. This allows us to derive the nested Bethe equations for arbitrary bound state string S-matrices. The bound state number dependence in the Bethe equations appears through the parameters x± and the
Algebraic Bethe Ansatz for Open XXX Model with Triangular Boundary Matrices
Belliard, Samuel; Crampé, Nicolas; Ragoucy, Eric
2013-05-01
We consider an open XXX spin chain with two general boundary matrices whose entries obey a relation, which is equivalent to the possibility to put simultaneously the two matrices in a upper-triangular form. We construct Bethe vectors by means of a generalized algebraic Bethe ansatz. As usual, the method uses Bethe equations and provides transfer matrix eigenvalues.
An interpolatory ansatz captures the physics of one-dimensional confined Fermi systems
Andersen, Molte Emil Strange; Salami Dehkharghani, Amin; Volosniev, A. G.;
2016-01-01
beyond the Bethe ansatz and bosonisation allow us to predict the behaviour of one-dimensional confined systems with strong short-range interactions, and new experiments with cold atomic Fermi gases have already confirmed these theories. Here we demonstrate that a simple linear combination of the strongly...
Cartesian Kerr-Schild variation on the Newman-Janis ansatz
Nawarajan, Deloshan
2016-01-01
The Newman-Janis ansatz is a procedure (an "ansatz" or "trick") for obtaining the Kerr spacetime from the Schwarzschild spacetime. This 50 year old "trick" continues to generate heated discussion and debate even to this day. Most of the debate focusses on whether the Newman-Janis procedure can be upgraded to the status of an "algorithm", or if it is perhaps merely an inspired "ansatz", or possibly just a random "trick" of no deep physical significance. (That the Newman-Janis procedure very quickly led to the discovery of the Kerr-Newman spacetime is a point very much in its favour.) In the current article we will not answer these deeper questions, we shall instead present a much simpler alternative variation on the theme of the Newman-Janis ansatz that might be easier to work with. We shall present a 2-step version of the Newman-Janis trick that works directly with the Kerr-Schild "Cartesian" metric presentation of the Kerr spacetime. That is, we show how the original 4-step Newman--Janis procedure can, (usin...
WANG Mei-Jiao; WANG Qi
2006-01-01
In this work, by means of a new more general ansatz and the symbolic computation system Maple, we extend the Riccati equation rational expansion method [Chaos, Solitons & Fractals 25 (2005) 1019] to uniformly construct a series of stochastic nontravelling wave solutions for nonlinear stochastic evolution equation. To illustrate the effectiveness of our method, we take the stochastic mKdV equation as an example, and successfully construct some new and more general solutions including a series of rational formal nontraveling wave and coefficient functions' soliton-like solutions and trigonometric-like function solutions. The method can also be applied to solve other nonlinear stochastic evolution equation or equations.
On rationally supported surfaces
Gravesen, Jens; Juttler, B.; Sir, Z.
2008-01-01
We analyze the class of surfaces which are equipped with rational support functions. Any rational support function can be decomposed into a symmetric (even) and an antisymmetric (odd) part. We analyze certain geometric properties of surfaces with odd and even rational support functions....... In particular it is shown that odd rational support functions correspond to those rational surfaces which can be equipped with a linear field of normal vectors, which were discussed by Sampoli et al. (Sampoli, M.L., Peternell, M., Juttler, B., 2006. Rational surfaces with linear normals and their convolutions...... with rational surfaces. Comput. Aided Geom. Design 23, 179-192). As shown recently, this class of surfaces includes non-developable quadratic triangular Bezier surface patches (Lavicka, M., Bastl, B., 2007. Rational hypersurfaces with rational convolutions. Comput. Aided Geom. Design 24, 410426; Peternell, M...
N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
Ahn, Changrim
2008-01-01
We propose the exact S-matrix for the planar limit of the N=6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS_4/CFT_3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.
Hougaard, Jens Leth; Moreno-Ternero, Juan D.; Østerdal, Lars Peter Raahave
2013-01-01
We introduce a new operator for general rationing problems in which, besides conflicting claims, individual baselines play an important role in the rationing process. The operator builds onto ideas of composition, which are not only frequent in rationing, but also in related problems...... such as bargaining, choice, and queuing. We characterize the operator and show how it preserves some standard axioms in the literature on rationing. We also relate it to recent contributions in such literature....
Functional Bethe ansatz methods for the open XXX chain
Frahm, Holger; Grelik, Jan H; Seel, Alexander; Wirth, Tobias, E-mail: Holger.Frahm@itp.uni-hannover.d, E-mail: Jan.Grelik@itp.uni-hannover.d, E-mail: Alexander.Seel@itp.uni-hannover.d [Institut fuer Theoretische Physik, Leibniz Universitaet Hannover, Appelstr. 2, 30167 Hannover (Germany)
2011-01-07
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional equations obtained by separation of variables or, equivalently, from the fusion of transfer matrices. For generic boundary conditions the eigenvalues cannot be obtained from the solution of finitely many algebraic Bethe equations. Based on careful finite size studies of the analytic properties of the underlying hierarchy of transfer matrices we devise two approaches to analyze the functional equations. First we introduce a truncation method leading to Bethe-type equations determining the energy spectrum of the spin chain. In a second approach, the hierarchy of functional equations is mapped to an infinite system of nonlinear integral equations of TBA type. The two schemes have complementary ranges of applicability and facilitate an efficient numerical analysis for a wide range of boundary parameters. Some data are presented on the finite-size corrections to the energy of the state which evolves into the antiferromagnetic ground state in the limit of parallel boundary fields.
The Beta Ansatz: A Tale of Two Complex Structures
Hanany, Amihay; Jejjala, Vishnu; Pasukonis, Jurgis; Ramgoolam, Sanjaye; Rodriguez-Gomez, Diego
2011-01-01
Brane tilings, sometimes called dimer models, are a class of bipartite graphs on a torus which encode the gauge theory data of four-dimensional SCFTs dual to D3-branes probing toric Calabi--Yau threefolds. An efficient way of encoding this information exploits the theory of dessin d'enfants, expressing the structure in terms of a permutation triple, which is in turn related to a Belyi pair, namely a holomorphic map from a torus to a P^1 with three marked points. The procedure of a-maximization, in the context of isoradial embeddings of the dimer, also associates a complex structure to the torus, determined by the R-charges in the SCFT, which can be compared with the Belyi complex structure. Algorithms for the explicit construction of the Belyi pairs are described in detail. In the case of orbifolds, these algorithms are related to the construction of covers of elliptic curves, which exploits the properties of Weierstrass elliptic functions. We present a counterexample to a previous conjecture identifying the ...
Functional Bethe ansatz methods for the open XXX chain
Frahm, Holger; Grelik, Jan H.; Seel, Alexander; Wirth, Tobias
2011-01-01
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional equations obtained by separation of variables or, equivalently, from the fusion of transfer matrices. For generic boundary conditions the eigenvalues cannot be obtained from the solution of finitely many algebraic Bethe equations. Based on careful finite size studies of the analytic properties of the underlying hierarchy of transfer matrices we devise two approaches to analyze the functional equations. First we introduce a truncation method leading to Bethe-type equations determining the energy spectrum of the spin chain. In a second approach, the hierarchy of functional equations is mapped to an infinite system of nonlinear integral equations of TBA type. The two schemes have complementary ranges of applicability and facilitate an efficient numerical analysis for a wide range of boundary parameters. Some data are presented on the finite-size corrections to the energy of the state which evolves into the antiferromagnetic ground state in the limit of parallel boundary fields.
ODE/IM correspondence and Bethe ansatz for affine Toda field equations
Ito, Katsushi
2015-01-01
We study the linear problem associated with modified affine Toda field equation for the Langlands dual $\\hat{\\mathfrak{g}}^\\vee$, where $\\hat{\\mathfrak{g}}$ is an untwisted affine Lie algebra. The connection coefficients for the asymptotic solutions of the linear problem correspond to the Q-functions for $\\mathfrak{g}$-type quantum integrable models. The $\\psi$-system for the solutions associated with the fundamental representations of $\\mathfrak{g}$ leads to Bethe ansatz equations associated with the affine Lie algebra $\\hat{\\mathfrak{g}}$. We also study the $A^{(2)}_{2r}$ affine Toda field equation in massless limit in detail and find its Bethe ansatz equations as well as T-Q relations.
ODE/IM correspondence and Bethe ansatz for affine Toda field equations
Katsushi Ito
2015-07-01
Full Text Available We study the linear problem associated with modified affine Toda field equation for the Langlands dual gˆ∨, where gˆ is an untwisted affine Lie algebra. The connection coefficients for the asymptotic solutions of the linear problem are found to correspond to the Q-functions for g-type quantum integrable models. The ψ-system for the solutions associated with the fundamental representations of g leads to Bethe ansatz equations associated with the affine Lie algebra gˆ. We also study the A2r(2 affine Toda field equation in massless limit in detail and find its Bethe ansatz equations as well as T–Q relations.
Modified algebraic Bethe ansatz for XXZ chain on the segment – II – general cases
S. Belliard
2015-05-01
Full Text Available The spectral problem of the Heisenberg XXZ spin-12 chain on the segment is investigated within a modified algebraic Bethe ansatz framework. We consider in this work the most general boundaries allowed by integrability. The eigenvalues and the eigenvectors are obtained. They are characterised by a set of Bethe roots with cardinality equal to N, the length of the chain, and which satisfies a set of Bethe equations with an additional term.
Generalized Coordinate Bethe Ansatz for open spin chains with non-diagonal boundaries
Ragoucy, E
2011-01-01
We introduce a generalization of the original Coordinate Bethe Ansatz that allows to treat the case of open spin chains with non-diagonal boundary matrices. We illustrate it on two cases: the XXX and XXZ chains. Short review on a joint work with N. Crampe (L2C) and D. Simon (LPMA), see arXiv:1009.4119, arXiv:1105.4119 and arXiv:1106.3264.
Comment on ``New ansatz for metric operator calculation in pseudo-Hermitian field theory''
Bender, Carl M.; Benincasa, Gregorio; Jones, H. F.
2009-12-01
In a recent Brief Report by Shalaby, a new first-order perturbative calculation of the metric operator for an iϕ3 scalar field theory is given. It is claimed that the incorporation of derivative terms in the ansatz for the metric operator results in a local solution, in contrast to the nonlocal solution previously obtained by Bender, Brody, and Jones. Unfortunately, Shalaby’s calculation is not valid because of sign errors.
Random-fractal Ansatz for the configurations of two-dimensional critical systems
Lee, Ching Hua; Ozaki, Dai; Matsueda, Hiroaki
2016-12-01
Critical systems have always intrigued physicists and precipitated the development of new techniques. Recently, there has been renewed interest in the information contained in the configurations of classical critical systems, whose computation do not require full knowledge of the wave function. Inspired by holographic duality, we investigated the entanglement properties of the classical configurations (snapshots) of the Potts model by introducing an Ansatz ensemble of random fractal images. By virtue of the central limit theorem, our Ansatz accurately reproduces the entanglement spectra of actual Potts snapshots without any fine tuning of parameters or artificial restrictions on ensemble choice. It provides a microscopic interpretation of the results of previous studies, which established a relation between the scaling behavior of snapshot entropy and the critical exponent. More importantly, it elucidates the role of ensemble disorder in restoring conformal invariance, an aspect previously ignored. Away from criticality, the breakdown of scale invariance leads to a renormalization of the parameter Σ in the random fractal Ansatz, whose variation can be used as an alternative determination of the critical exponent. We conclude by providing a recipe for the explicit construction of fractal unit cells consistent with a given scaling exponent.
An interpolatory ansatz captures the physics of one-dimensional confined Fermi systems.
Andersen, M E S; Dehkharghani, A S; Volosniev, A G; Lindgren, E J; Zinner, N T
2016-01-01
Interacting one-dimensional quantum systems play a pivotal role in physics. Exact solutions can be obtained for the homogeneous case using the Bethe ansatz and bosonisation techniques. However, these approaches are not applicable when external confinement is present. Recent theoretical advances beyond the Bethe ansatz and bosonisation allow us to predict the behaviour of one-dimensional confined systems with strong short-range interactions, and new experiments with cold atomic Fermi gases have already confirmed these theories. Here we demonstrate that a simple linear combination of the strongly interacting solution with the well-known solution in the limit of vanishing interactions provides a simple and accurate description of the system for all values of the interaction strength. This indicates that one can indeed capture the physics of confined one-dimensional systems by knowledge of the limits using wave functions that are much easier to handle than the output of typical numerical approaches. We demonstrate our scheme for experimentally relevant systems with up to six particles. Moreover, we show that our method works also in the case of mixed systems of particles with different masses. This is an important feature because these systems are known to be non-integrable and thus not solvable by the Bethe ansatz technique.
Batic, D
2005-01-01
In this paper we compute the square root of the generalized squared total angular momentum operator $J$ for a Dirac particle in the Kerr-Newman metric. The separation constant $\\lambda$ arising from the Chandrasekahr separation ansatz turns out to be the eigenvalue of $J$. After proving that $J$ is a symmetry operator, we show the completeness of Chandrasekhar Ansatz for the Dirac equation in oblate spheroidal coordinates and derive an explicit formula for the propagator $e^{-itH}$.
Atsuo Kuniba
2010-01-01
Full Text Available We study an integrable vertex model with a periodic boundary condition associated with U_q(A_n^{(1} at the crystallizing point q=0. It is an (n+1-state cellular automaton describing the factorized scattering of solitons. The dynamics originates in the commuting family of fusion transfer matrices and generalizes the ultradiscrete Toda/KP flow corresponding to the periodic box-ball system. Combining Bethe ansatz and crystal theory in quantum group, we develop an inverse scattering/spectral formalism and solve the initial value problem based on several conjectures. The action-angle variables are constructed representing the amplitudes and phases of solitons. By the direct and inverse scattering maps, separation of variables into solitons is achieved and nonlinear dynamics is transformed into a straight motion on a tropical analogue of the Jacobi variety. We decompose the level set into connected components under the commuting family of time evolutions and identify each of them with the set of integer points on a torus. The weight multiplicity formula derived from the q=0 Bethe equation acquires an elegant interpretation as the volume of the phase space expressed by the size and multiplicity of these tori. The dynamical period is determined as an explicit arithmetical function of the n-tuple of Young diagrams specifying the level set. The inverse map, i.e., tropical Jacobi inversion is expressed in terms of a tropical Riemann theta function associated with the Bethe ansatz data. As an application, time average of some local variable is calculated.
Determinants of Actor Rationality
Ellegaard, Chris
Industrial companies must exercise influence on their suppliers (or supplier actors). Actor rationality is a central theme connected to this management task. In this article, relevant literature is studied with the purpose of shedding light on determinants of actor rationality. Two buyer......-supplier relations are investigated in a multiple case study, leading to the proposal of various additional factors that determine and shape actor rationality. Moreover a conceptual model of rationality determinants in the buyer-supplier relation is proposed, a model that may help supply managers analyse...
Standby Gasoline Rationing Plan
None
1980-06-01
The final rules adopted by the President for a Standby Gasoline Rationing Plan are presented. The plan provides that eligibility for ration allotments will be determined primarily on the basis of motor vehicle registrations, taking into account historical differences in the use of gasoline among states. The regulations also provide authority for supplemental allotments to firms so that their allotment will equal a specified percentage of gasoline use during a base period. Priority classifications, i.e., agriculture, defense, etc., are established to assure adequate gasoline supplies for designated essential services. Ration rights must be provided by end-users to their suppliers for each gallon sold. DOE will regulate the distribution of gasoline at the wholesale level according to the transfer by suppliers of redeemed ration rights and the gasoline allocation regulations. Ration rights are transferable. A ration banking system is created to facilitate transfers of ration rights. Each state will be provided with a reserve of ration rights to provide for hardship needs and to alleviate inequities. (DC)
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
Cirilo António, N., E-mail: nantonio@math.ist.utl.pt [Centro de Análise Funcional e Aplicações, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa (Portugal); Manojlović, N., E-mail: nmanoj@ualg.pt [Grupo de Física Matemática da Universidade de Lisboa, Av. Prof. Gama Pinto 2, PT-1649-003 Lisboa (Portugal); Departamento de Matemática, F.C.T., Universidade do Algarve, Campus de Gambelas, PT-8005-139 Faro (Portugal); Salom, I., E-mail: isalom@ipb.ac.rs [Institute of Physics, University of Belgrade, P.O. Box 57, 11080 Belgrade (Serbia)
2014-12-15
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the relevant Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the corresponding Bethe vectors through the so-called quasi-classical limit. Moreover, this action is as simple as it could possibly be, yielding the spectrum and the Bethe equations of the Gaudin model.
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
Cirilo António, N.; Manojlović, N.; Salom, I.
2014-12-01
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the relevant Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the corresponding Bethe vectors through the so-called quasi-classical limit. Moreover, this action is as simple as it could possibly be, yielding the spectrum and the Bethe equations of the Gaudin model.
Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary
António, N Cirilo; Ragoucy, E; Salom, I
2015-01-01
Following Sklyanin's proposal in the periodic case, we derive the generating function of the Gaudin Hamiltonians with boundary terms. Our derivation is based on the quasi-classical expansion of the linear combination of the transfer matrix of the XXX Heisenberg spin chain and the central element, the so-called Sklyanin determinant. The corresponding Gaudin Hamiltonians with boundary terms are obtained as the residues of the generating function. By defining the appropriate Bethe vectors which yield strikingly simple off shell action of the generating function, we fully implement the algebraic Bethe ansatz, obtaining the spectrum of the generating function and the corresponding Bethe equations.
Algebraic Bethe ansatz for the XXX chain with triangular boundaries and Gaudin model
António, N Cirilo; Salom, I
2014-01-01
We implement fully the algebraic Bethe ansatz for the XXX Heisenberg spin chain in the case when both boundary matrices can be brought to the upper-triangular form. We define the Bethe vectors which yield the strikingly simple expression for the off shell action of the transfer matrix, deriving the spectrum and the corresponding Bethe equations. We explore further these results by obtaining the off shell action of the generating function of the Gaudin Hamiltonians on the Bethe vectors through the so-called quasi-classical limit.
Miyaji, Masamichi; Numasawa, Tokiro; Shiba, Noburo; Takayanagi, Tadashi; Watanabe, Kento
2015-10-01
We present how the surface-state correspondence, conjectured by Miyaji and Takayanagi, works in the setup of AdS3/CFT2 by generalizing the formulation of a continuous multiscale entanglement renormalization group ansatz. The boundary states in conformal field theories play a crucial role in our formulation and the bulk diffeomorphism is naturally taken into account. We give an identification of bulk local operators which reproduces correct scalar field solutions on AdS3 and bulk scalar propagators. We also calculate the information metric for a locally excited state and show that it reproduces the time slice of AdS3.
Modified algebraic Bethe ansatz for XXZ chain on the segment – I: Triangular cases
Samuel Belliard
2015-03-01
Full Text Available The modified algebraic Bethe ansatz, introduced by Crampé and the author [8], is used to characterize the spectral problem of the Heisenberg XXZ spin-12 chain on the segment with lower and upper triangular boundaries. The eigenvalues and the eigenvectors are conjectured. They are characterized by a set of Bethe roots with cardinality equal to N the length of the chain and which satisfies a set of Bethe equations with an additional term. The conjecture follows from exact results for small chains. We also present a factorized formula for the Bethe vectors of the Heisenberg XXZ spin-12 chain on the segment with two upper triangular boundaries.
Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
Karaiskos, Nikos; Frahm, Holger
2013-01-01
The small polaron with generic, nondiagonal boundary terms is investigated within the framework of quantum integrability. The eigenvalues of the model are extracted by using the fusion hierarchy of the transfer matrices and the corresponding Bethe Ansatz equations are presented. For particular values of the anisotropy parameter the fusion hierarchy truncates, giving rise to a set of functional relations for the transfer matrix. Exploiting the latter ones, the same set of eigenvalues is rederived, confirming our results. Finally, we comment on the eigenvectors of the model and explicitly compute the state with all sites unoccupied for arbitrary chain lengths.
Nested Bethe Ansatz for Spin Ladder Model with Open Boundary Conditions
WU Jun-Fang; ZHANG Chun-Min; YUE Rui-Hong; LI Run-Ling
2005-01-01
The nested Bethe ansatz (BA) method is applied to find the eigenvalues and the eigenvectors of the transfer matrix for spin-ladder model with open boundary conditions. Based on the reflection equation, we find the general diagonal solution, which determines the generalboundary interaction in the Hamiltonian. We introduce the spin-ladder model with open boundary conditions. By finding the solution K± of the reflection equation which determines the nontrivial boundary terms in the Hamiltonian, we diagonalize the transfer matrix of the spin-ladder model with open boundary conditions in the framework of nested BA.
First-principles Theory of the Momentum-dependent Local Ansatz for Correlated Electron System
Chandra, Sumal; Kakehashi, Yoshiro
The momentum-dependent local-ansatz (MLA) wavefunction describes well correlated electrons in solids in both the weak and strong interaction regimes. In order to apply the theory to the realistic system, we have extended the MLA to the first-principles version using the tight-binding LDA+U Hamiltonian. We demonstrate for the paramagnetic Fe that the first-principles MLA can describe a reasonable correlation energy gain and suppression of charge fluctuations due to electron correlations. Furthermore, we show that the MLA yields a distinct momentum dependence of the momentum distribution, and thus improves the Gutzwiller wavefunction.
Deng-Fan Potential for Relativistic Spinless Particles -- an Ansatz Solution
H. Hassanabadi; B.H. Yazarloo; S. Zarrinkamar; H. Rahimov
2012-01-01
Deng-Fan potential originally appeared many years ago as an attractive proposition for molecular systems. On the contrary to the ground state of one-dimensional Schr6dinger equation, this potential fails to admit exact analytical solutions for arbitrary quantum number in both relativistic and nonrelativistic regime. Because of this complexity, there exists only few papers, which discuss this interesting problem. Here, using an elegant ansatz, we have calculated the system spectra as well as the eigenfunctions in the general case of unequal vector and scalar potentials under Klein-Gordon equation.
Miyaji, Masamichi; Numasawa, Tokiro; Shiba, Noburo; Takayanagi, Tadashi; Watanabe, Kento
2015-10-23
We present how the surface-state correspondence, conjectured by Miyaji and Takayanagi, works in the setup of AdS(3)/CFT(2) by generalizing the formulation of a continuous multiscale entanglement renormalization group ansatz. The boundary states in conformal field theories play a crucial role in our formulation and the bulk diffeomorphism is naturally taken into account. We give an identification of bulk local operators which reproduces correct scalar field solutions on AdS(3) and bulk scalar propagators. We also calculate the information metric for a locally excited state and show that it reproduces the time slice of AdS(3).
Entanglement entropy in quantum many-particle systems and their simulation via ansatz states
Barthel, Thomas
2009-12-10
A main topic of this thesis is the development of efficient numerical methods for the simulation of strongly correlated quantum lattice models. For one-dimensional systems, the density-matrix renormalization-group (DMRG) is such a very successful method. The physical states of interest are approximated within a certain class of ansatz states. These ansatz states are designed in a way that the number of degrees of freedom are prevented from growing exponentially. They are the so-called matrix product states. The first part of the thesis, therefore, provides analytical and numerical analysis of the scaling of quantum nonlocality with the system size or time in different, physically relevant scenarios. For example, the scaling of Renyi entropies and their dependence on boundary conditions is derived within the 1+1-dimensional conformal field theory. Conjectures and analytical indications concerning the properties of entanglement entropy in critical fermionic and bosonic systems are confirmed numerically with high precision. For integrable models in the thermodynamic limit, general preconditions are derived under which subsystems converge to steady states. These steady states are non-thermal and retain information about the initial state. It is shown that the entanglement entropy in such steady states is extensive. For short times, the entanglement entropy grows typically linearly with time, causing an exponential increase in computation costs for the DMRG method. The second part of the thesis focuses on the development and improvement of the abovementioned numerical techniques. The time-dependent DMRG is complemented with an extrapolation technique for the evaluated observables. In this way, the problem of the entropy increase can be circumvented, allowing for a precise determination of spectral functions. The method is demonstrated using the example of the Heisenberg antiferromagnet and results are compared to Bethe-Ansatz data for T=0 and quantum Monte Carlo data
The Generalized Coherent State ansatz: Application to quantum electron-vibrational dynamics
Borrelli, Raffaele; Gelin, Maxim F.
2016-12-01
A new ansatz for molecular vibronic wave functions based on a superposition of time-dependent Generalized Coherent States is developed and analysed. The methodology is specifically tailored to describe the time evolution of the wave function of a system in which several interacting electronic states are coupled to a bath of harmonic oscillators. The equations of motion for the wave packet parameters are obtained by using the Dirac-Frenkel time-dependent variational principle. The methodology is used to describe the quantum dynamical behavior of a model polaron system and its scaling and convergence properties are discussed and compared with numerically exact results.
Irrational Rationality of Terrorism
Robert Nalbandov
2013-12-01
Full Text Available The present article deals with the ontological problem of applying the rational choice frameworks to the study of terrorism. It testing the application of the rational choice to the “old” (before the end of the Cold War and the “new” (after the end of the Cold War terrorisms. It starts with analyzing the fundamentals of rationality and applies it at two levels: the individual (actors and group (collective via two outlooks: tactical (short-term and strategic (long-term. The main argument of the article is that while the “old” terrorism can be explained by the rational choice theory its “new” version represents a substantial departure from rationality.
Universal Bethe ansatz solution for the Temperley-Lieb spin chain
Nepomechie, Rafael I.; Pimenta, Rodrigo A.
2016-09-01
We consider the Temperley-Lieb (TL) open quantum spin chain with "free" boundary conditions associated with the spin-s representation of quantum-deformed sl (2). We construct the transfer matrix, and determine its eigenvalues and the corresponding Bethe equations using analytical Bethe ansatz. We show that the transfer matrix has quantum group symmetry, and we propose explicit formulas for the number of solutions of the Bethe equations and the degeneracies of the transfer-matrix eigenvalues. We propose an algebraic Bethe ansatz construction of the off-shell Bethe states, and we conjecture that the on-shell Bethe states are highest-weight states of the quantum group. We also propose a determinant formula for the scalar product between an off-shell Bethe state and its on-shell dual, as well as for the square of the norm. We find that all of these results, except for the degeneracies and a constant factor in the scalar product, are universal in the sense that they do not depend on the value of the spin. In an appendix, we briefly consider the closed TL spin chain with periodic boundary conditions, and show how a previously-proposed solution can be improved so as to obtain the complete (albeit non-universal) spectrum.
"Generalized" algebraic Bethe ansatz, Gaudin-type models and Zp-graded classical r-matrices
Skrypnyk, T.
2016-12-01
We consider quantum integrable systems associated with reductive Lie algebra gl (n) and Cartan-invariant non-skew-symmetric classical r-matrices. We show that under certain restrictions on the form of classical r-matrices "nested" or "hierarchical" Bethe ansatz usually based on a chain of subalgebras gl (n) ⊃ gl (n - 1) ⊃ . . . ⊃ gl (1) is generalized onto the other chains or "hierarchies" of subalgebras. We show that among the r-matrices satisfying such the restrictions there are "twisted" or Zp-graded non-skew-symmetric classical r-matrices. We consider in detail example of the generalized Gaudin models with and without external magnetic field associated with Zp-graded non-skew-symmetric classical r-matrices and find the spectrum of the corresponding Gaudin-type hamiltonians using nested Bethe ansatz scheme and a chain of subalgebras gl (n) ⊃ gl (n -n1) ⊃ gl (n -n1 -n2) ⊃ gl (n - (n1 + . . . +np-1)), where n1 +n2 + . . . +np = n.
Testing Invisible Momentum Ansatze in Missing Energy Events at the LHC arXiv
Kim, Doojin; Moortgat, Filip; Pape, Luc
We consider SUSY-like events with two decay chains, each terminating in an invisible particle, whose true energy and momentum are not measured in the detector. Nevertheless, a useful educated guess about the invisible momenta can still be obtained by optimizing a suitable invariant mass function. We review and contrast several proposals in the literature for such ansatze: four versions of the M_T2-assisted on-shell reconstruction (MAOS), as well as several variants of the on-shell constrained M_2 variables. We compare the performance of these methods with regards to the mass determination of a new particle resonance along the decay chain from the peak of the reconstructed invariant mass distribution. For concreteness, we consider the event topology of dilepton ttbar events and study each of the three possible subsystems, in both a ttbar and a SUSY example. We find that the M_2 variables generally provide sharper peaks and therefore better ansatze for the invisible momenta. We show that the performance can be ...
Datengeleitetes Lernen im studienbegleitenden Deutschunterricht am Beispiel des KoGloss-Ansatzes
Agnese Dubova
2016-04-01
Full Text Available Der vorliegende Aufsatz stellt den sprachdidaktischen Ansatz KoGloss vor und beschreibt die Möglichkeiten seines Einsatzes im studienbegleitenden Deutschunterricht. Als eine der Formen des datengeleiteten Lernens ermöglicht der KoGloss-Ansatz eine forschungsorientierte und lernerzentrierte Herangehensweise, die insbesondere im akademischen Sprachunterricht gefragt ist. Eine korpusbasierte Erschließung von (Fach-Wörtern und komplexen sprachlichen Mustern, das learning by doing, die Kooperation und Kollaboration zwischen den Lernenden und Lehrenden dienen als Schlüsselwörter zur Beschreibung der mit KoGloss angestrebten Lehr- und Lernform im studienbegleitenden Unterricht des Deutschen als Fremdsprache (bzw. Fachsprache. The paper deals with the didactic approach of KoGloss in language acquisition and describes the possibilities of its use in acquisition of German language as study-accompanying course. As one of the data-driven approaches types the KoGloss approach ensures research-driven and learner-centered learning, which is particularly important in language instruction in higher education. The keywords given by KoGloss for the learning and teaching method of acquisition of the “accompanying” study subject, i.e. the German language as foreign language (namely as language for special purposes – LSP are as follows: defining corpus-based special application of words and complex language patterns, learning by doing, cooperation and collaboration between the teaching staff and students.
The single-particle density matrix of a quantum bright soliton from the coordinate Bethe ansatz
Ayet, Alex; Brand, Joachim
2017-02-01
We present a novel approach for computing reduced density matrices for superpositions of eigenstates of a Bethe-ansatz solvable model by direct integration of the wave function in coordinate representation. A diagrammatic approach is developed to keep track of relevant terms and identify symmetries, which helps to reduce the number of terms that have to be evaluated numerically. As a first application we compute with modest numerical resources the single-particle density matrix and its eigenvalues including the condensate fraction for a quantum bright soliton with up to N = 10 bosons. The latter are constructed as superpositions of string-type Bethe-ansatz eigenstates of nonrelativistic bosons in one spatial dimension with attractive contact interaction. Upon delocalising the superposition in momentum space we find that the condensate fraction reaches maximum values larger than 97% with weak particle-number dependence in the range of particles studied. The presented approach is suitable for studying time-dependent problems and generalises to higher-order correlation functions.
Universal Bethe ansatz solution for the Temperley-Lieb spin chain
Nepomechie, Rafael I
2016-01-01
We consider the Temperley-Lieb (TL) open quantum spin chain with "free" boundary conditions associated with the spin-$s$ representation of quantum-deformed $sl(2)$. We construct the transfer matrix, and determine its eigenvalues and the corresponding Bethe equations using analytical Bethe ansatz. We show that the transfer matrix has quantum group symmetry, and we propose explicit formulas for the number of solutions of the Bethe equations and the degeneracies of the transfer-matrix eigenvalues. We propose an algebraic Bethe ansatz construction of the off-shell Bethe states, and we conjecture that the on-shell Bethe states are highest-weight states of the quantum group. We also propose a determinant formula for the scalar product between an off-shell Bethe state and its on-shell dual, as well as for the square of the norm. We find that all of these results, except for the degeneracies and a constant factor in the scalar product, are universal in the sense that they do not depend on the value of the spin. In an...
Exploring rationality in schizophrenia
Revsbech, Rasmus; Mortensen, Erik Lykke; Owen, Gareth
2015-01-01
Background Empirical studies of rationality (syllogisms) in patients with schizophrenia have obtained different results. One study found that patients reason more logically if the syllogism is presented through an unusual content. Aims To explore syllogism-based rationality in schizophrenia. Method...... Thirty-eight first-admitted patients with schizophrenia and 38 healthy controls solved 29 syllogisms that varied in presentation content (ordinary v. unusual) and validity (valid v. invalid). Statistical tests were made of unadjusted and adjusted group differences in models adjusting for intelligence...... differences became non-significant. Conclusions When taking intelligence and neuropsychological performance into account, patients with schizophrenia and controls perform similarly on syllogism tests of rationality....
Zen, Andrea; Luo, Ye; Sorella, Sandro; Guidoni, Leonardo
2014-01-01
Diradical molecules are essential species involved in many organic and inorganic chemical reactions. The computational study of their electronic structure is often challenging, because a reliable description of the correlation, and in particular of the static one, requires multi-reference techniques. The Jastrow correlated Antisymmetrized Geminal Power (JAGP) is a compact and efficient wave function ansatz, based on the valence-bond representation, which can be used within Quantum Monte Carlo (QMC) approaches. The AGP part can be rewritten in terms of molecular orbitals, obtaining a multi-determinant expansion with zero-seniority number. In the present work we demonstrate the capability of the JAGP ansatz to correctly describe the electronic structure of two diradical prototypes: the orthogonally twisted ethylene, C2H4, and the methylene, CH2, representing respectively a homosymmetric and heterosymmetric system. On the other hand, we show that the simple ansatz of a Jastrow correlated Single Determinant (JSD)...
Abe, Yuya; Fukushima, Kenji
2016-11-01
We investigate a simple model using the numerical simulation in the complex Langevin equation (CLE) and the analytical approximation with the Gaussian ansatz. We find that the Gaussian ansatz captures the essential and even quantitative features of the CLE results quite well when they converge to the exact answer, as well as the border of the unstable region where the CLE converges to a wrong answer. The Gaussian ansatz is therefore useful for looking into this convergence problem and we find that the exact answer in the unstable region is nicely reproduced by another solution that is naively excluded from the stability condition. We consider the Gaussian probability distributions corresponding to multiple solutions along the Lefschetz thimble to discuss the stability and the locality. Our results suggest a prescription to improve the convergence of the CLE simulation to the exact answer.
Abe, Yuya
2016-01-01
We investigate a simple model using the numerical simulation in the complex Langevin equation (CLE) and the analytical approximation with the Gaussian Ansatz. We find that the Gaussian Ansatz captures the essential and even quantitative features of the CLE results quite well including unwanted behavior in the unstable region where the CLE converges to a wrong answer. The Gaussian Ansatz is therefore useful for looking into this convergence problem and we find that the exact answer in the unstable region is nicely reproduced by another solution that is naively excluded from the stability condition. We consider the Gaussian probability distributions corresponding to multiple solutions along the Lefschetz thimble to discuss the stability and the locality. Our results suggest a prescription to improve the convergence of the CLE simulation to the exact answer.
Kitanine, N
2007-09-15
Spin chains are the basic elements of integrable quantum models. These models have direct applications in condense matter theory, in statistical physics, in quantum optics, in field theory and even in string theory but they are also important because they enable us to solve, in an exact manner, non-perturbative phenomena that otherwise would stay unresolved. The method described in this work is based on the algebraic Bethe Ansatz. It is shown how this method can be used for the computation of null temperature correlation functions of the Heisenberg 1/2 spin chain. The important point of this approach is the solution of the inverse quantum problem given by the XXZ spin chain. This solution as well as a simple formulae for the scalar product of the Bethe states, have enabled us to get the most basic correlation functions under the form of multiple integrals. The formalism of multiple integrals open the way for asymptotic analysis for a few physical quantities like the probability of vacuum formation. It is worth noticing that this formalism can give exact results for two-point functions that are the most important correlation functions for applications. A relationship has been discovered between these multiple integrals and the sum of the form factors. The results have been extended to dynamical correlation functions. (A.C.)
Information, Utility & Bounded Rationality
Ortega, Pedro A
2011-01-01
Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we employ an axiomatic framework for bounded rational decision-making based on a thermodynamic interpretation of resource costs as information costs. This leads to a variational "free utility" principle akin to thermodynamical free energy that trades off utility and information costs. We show that bounded optimal control solutions can be derived from this variational principle, which leads in general to stochastic policies. Furthermore, we show that risk-sensitive and robust (minimax) control schemes fall out naturally from this framework if the environment is considered as a bounded rational and perfectly rational opponent, respectively. When resource costs are ignored, the maximum expected utility principle is recovered.
Uncertainty, rationality, and agency
Hoek, Wiebe van der
2006-01-01
Goes across 'classical' borderlines of disciplinesUnifies logic, game theory, and epistemics and studies them in an agent-settingCombines classical and novel approaches to uncertainty, rationality, and agency
Crab Rationalization Permit Program
National Oceanic and Atmospheric Administration, Department of Commerce — The Crab Rationalization Program (Program) allocates BSAI crab resources among harvesters, processors, and coastal communities. The North Pacific Fishery Management...
Janusz J. Charatonik
1994-05-01
Full Text Available Spaces which are metrizable completions of the space Q of rationals are described. A characterization of metrizable spaces having the same family of metrizable completions as Q is deduced.
[Concepts of rational taxonomy].
Pavlinov, I Ia
2011-01-01
The problems are discussed related to development of concepts of rational taxonomy and rational classifications (taxonomic systems) in biology. Rational taxonomy is based on the assumption that the key characteristic of rationality is deductive inference of certain partial judgments about reality under study from other judgments taken as more general and a priory true. Respectively, two forms of rationality are discriminated--ontological and epistemological ones. The former implies inference of classifications properties from general (essential) properties of the reality being investigated. The latter implies inference of the partial rules of judgments about classifications from more general (formal) rules. The following principal concepts of ontologically rational biological taxonomy are considered: "crystallographic" approach, inference of the orderliness of organismal diversity from general laws of Nature, inference of the above orderliness from the orderliness of ontogenetic development programs, based on the concept of natural kind and Cassirer's series theory, based on the systemic concept, based on the idea of periodic systems. Various concepts of ontologically rational taxonomy can be generalized by an idea of the causal taxonomy, according to which any biologically sound classification is founded on a contentwise model of biological diversity that includes explicit indication of general causes responsible for that diversity. It is asserted that each category of general causation and respective background model may serve as a basis for a particular ontologically rational taxonomy as a distinctive research program. Concepts of epistemologically rational taxonomy and classifications (taxonomic systems) can be interpreted in terms of application of certain epistemological criteria of substantiation of scientific status of taxonomy in general and of taxonomic systems in particular. These concepts include: consideration of taxonomy consistency from the
Review of AdS/CFT Integrability, Chapter III.1: Bethe Ans\\"atze and the R-Matrix Formalism
Staudacher, Matthias
2012-01-01
The one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, we outline the coordinate and the algebraic Bethe ansatz, giving reference to literature suitable for learning these techniques. Finally we speculate which of the methods might lift to the exact solution of the AdS/CFT system, and sketch a promising method for constructing the Baxter Q-operator of the XXX chain. It allows to find the spectrum of the model using certain algebraic techniques, while entirely avoiding Bethe's ansatz.
Topological Field Theory and Rational Curves
Aspinwall, Paul S; Aspinwall, Paul S.; Morrison, David R.
1993-01-01
We analyze the superstring propagating on a Calabi-Yau threefold. This theory naturally leads to the consideration of Witten's topological non-linear sigma-model and the structure of rational curves on the Calabi-Yau manifold. We study in detail the case of the world-sheet of the string being mapped to a multiple cover of an isolated rational curve and we show that a natural compactification of the moduli space of such a multiple cover leads to a formula in agreement with a conjecture by Candelas, de la Ossa, Green and Parkes.
Controllability under rational expectations.
Hughes Hallett Andrew; Di Bartolomeo Giovanni; Acocella Nicola
2008-01-01
We show that rational expectations do not affect the controllability of an economic system, either in its static or in its dynamic version, even though their introduction in many other circumstances may make it impossible for the policymaker to affect certain variables due to policy invariance, policy neutrality or time inconsistency problems. The controllability conditions stated by Tinbergen and subsequent authors continue to hold under rational expectations; and when they are satisfied rat...
Phronesis – hermeneutic rationality
Michał Januszkiewicz
2016-01-01
The paper is an attempt to rethink the problem of rationality in the humanities in the context of hermeneutics. The author argues that this concept of rationality must be founded on the Aristotelian concept of practical reason (phronesis). Phronesis is a need for discernment of the self or rather to find itself in its own, tangible, specific situation. This understanding concerns Being-inthe-world and belongs to what in Martin Heidegger’s ontohermeneutics we can determine precisely as underst...
Adiabatic electronic flux density: a Born-Oppenheimer Broken Symmetry ansatz
Pohl, Vincent
2016-01-01
The Born-Oppenheimer approximation leads to the counterintuitive result of a vanishing electronic flux density upon vibrational dynamics in the electronic ground state. To circumvent this long known issue, we propose using pairwise anti-symmetrically translated vibronic densities to generate a symmetric electronic density that can be forced to satisfy the continuity equation approximately. The so-called Born-Oppenheimer broken symmetry ansatz yields all components of the flux density simultaneously while requiring only knowledge about the nuclear quantum dynamics on the electronic adiabatic ground state potential energy surface. The underlying minimization procedure is transparent and computationally inexpensive, and the solution can be computed from the standard output of any quantum chemistry program. Taylor series expansion reveals that the implicit electron dynamics originates from non-adiabatic coupling to the explicit Born-Oppenheimer nuclear dynamics. The new approach is applied to the ${\\rm H}_2^+$ mo...
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
Gainutdinov, Azat M.; Nepomechie, Rafael I.
2016-08-01
For generic values of q, all the eigenvectors of the transfer matrix of the Uq sl (2)-invariant open spin-1/2 XXZ chain with finite length N can be constructed using the algebraic Bethe ansatz (ABA) formalism of Sklyanin. However, when q is a root of unity (q =e iπ / p with integer p ≥ 2), the Bethe equations acquire continuous solutions, and the transfer matrix develops Jordan cells. Hence, there appear eigenvectors of two new types: eigenvectors corresponding to continuous solutions (exact complete p-strings), and generalized eigenvectors. We propose general ABA constructions for these two new types of eigenvectors. We present many explicit examples, and we construct complete sets of (generalized) eigenvectors for various values of p and N.
Bethe ansatz solution of the small polaron with nondiagonal boundary terms
Karaiskos, Nikos; Grabinski, André M.; Frahm, Holger
2013-07-01
The small polaron with generic, nondiagonal boundary terms is investigated within the framework of quantum integrability. The fusion hierarchy of the transfer matrices and its truncation for particular values of the anisotropy parameter are both employed, so that the spectral problem is formulated in terms of a TQ equation. The solution of this equation for generic boundary conditions is based on a deformation of the diagonal case. The eigenvalues of the model are extracted and the corresponding Bethe ansatz equations are presented. Finally, we comment on the eigenvectors of the model and explicitly compute the eigenstate of the model which evolves into the Fock vacuum when the off-diagonal boundary terms are switched off.
Ruban, V P
2015-01-01
The nonlinear dynamics of an obliquely oriented wave packet at sea surface is studied both analytically and numerically for various initial parameters of the packet, in connection with the problem of oceanic rogue waves. In the framework of Gaussian variational ansatz applied to the corresponding (1+2D) hyperbolic nonlinear Schr\\"odinger equation, a simplified Lagrangian system of differential equations is derived, which determines the evolution of coefficients of the real and imaginary quadratic forms appearing in the Gaussian. This model provides a semi-quantitative description for the process of nonlinear spatio-temporal focusing, which is one of the most probable mechanisms of rogue wave formation in random wave fields. The system is integrated in quadratures, which fact allows us to understand qualitative differences between the linear and nonlinear regimes of the focusing of wave packet. Comparison of the Gaussian model predictions with results of direct numerical simulation of fully nonlinear long-cres...
Mass matrix Ansatz and lepton flavor violation in the THDM-III
Díaz-Cruz, J L; Rosado, A
2004-01-01
Predictive Higgs-fermion couplings can be obtained when a specific texture for the fermion mass matrices is included in the general two-Higgs doublet model. We derive the form of these couplings in the charged lepton sector using a Hermitian mass matrix Ansatz with four-texture zeros. The presence of unconstrained phases in the vertices phi-li-lj modifies the pattern of flavor-violating Higgs interactions. Bounds on the model parameters are obtained from present limits on rare lepton flavor violating processes, which could be extended further by the search for the decay tau -> mu mu mu and mu-e conversion at future experiments. The signal from Higgs boson decays phi -> tau mu could be searched at the large hadron collider (LHC), while e-mu transitions could produce a detectable signal at a future e mu-collider, through the reaction e mu -> h0 -> tau tau.
Kakehashi, Yoshiro; Chandra, Sumal
2016-04-01
We have developed a first-principles local ansatz wavefunction approach with momentum-dependent variational parameters on the basis of the tight-binding LDA+U Hamiltonian. The theory goes beyond the first-principles Gutzwiller approach and quantitatively describes correlated electron systems. Using the theory, we find that the momentum distribution function (MDF) bands of paramagnetic bcc Fe along high-symmetry lines show a large deviation from the Fermi-Dirac function for the d electrons with eg symmetry and yield the momentum-dependent mass enhancement factors. The calculated average mass enhancement m*/m = 1.65 is consistent with low-temperature specific heat data as well as recent angle-resolved photoemission spectroscopy (ARPES) data.
Particle-hole symmetry in algebraic Bethe Ansatz for the XXX model
Stagraczynski, R.; Lulek, T.
2010-03-01
It is well known that the space of all quantum states of the XXX model for a magnetic ring of N nodes, each with the spin 1/2, decomposes into sectors with r spin deviations, r = 0,1, 2,..., N [1, 2, 3, 4]. The sectors r and N - r are related mutually by the particle-hole transformation which exchanges the signs + and - on each node. We discuss here effects of this transformation on the formalism of algebraic Bethe Ansatz, in particular on the form of the monodromy matrix, the main tool of this formalism. We derive explicitly appropriate transformation rules for CN- orbits of magnetic configurations and the corresponding Fourier transformations within the bases of wavelets. In particular, we point out some important phase relations between orbits on both sides of the equator.
Algebraic Bethe ansatz for the quantum group invariant open XXZ chain at roots of unity
Gainutdinov, Azat M
2016-01-01
For generic values of q, all the eigenvectors of the transfer matrix of the U_q sl(2)-invariant open spin-1/2 XXZ chain with finite length N can be constructed using the algebraic Bethe ansatz (ABA) formalism of Sklyanin. However, when q is a root of unity (q=exp(i pi/p) with integer p>1), the Bethe equations acquire continuous solutions, and the transfer matrix develops Jordan cells. Hence, there appear eigenvectors of two new types: eigenvectors corresponding to continuous solutions (exact complete p-strings), and generalized eigenvectors. We propose general ABA constructions for these two new types of eigenvectors. We present many explicit examples, and we construct complete sets of (generalized) eigenvectors for various values of p and N.
Reflection Amplitudes in Non-Simply Laced Toda Theories and Thermodynamic Bethe Ansatz
Ahn, C; Fateev, V A; Kim, C; Rim, C; Ahn, Changrim; Kim, Chanju; Rim, Chaiho
2000-01-01
We study the ultraviolet asymptotics in non-simply laced affine Toda theoriesconsidering them as perturbed non-affine Toda theories, which possess theextended conformal symmetry. We calculate the reflection amplitudes, innon-affine Toda theories and use them to derive the quantization condition forthe vacuum wave function, describing zero-mode dynamics. The solution of thisquantization conditions for the ground state energy determines the UVasymptotics of the effective central charge. These asymptotics are in a goodagreement with Thermodynamic Bethe Ansatz(TBA) results. To make the comparisonwith TBA possible, we give the exact relations between parameters of the actionand masses of particles as well as the bulk free energies for non-simply lacedaffine Toda theories.
Combinatorial Constructions for Sifting Primes and Enumerating the Rationals
Gnang, Edinah K
2012-01-01
We describe a combinatorial approach for investigating properties of rational numbers. The overall approach rests on structural bijections between rational numbers and familiar combinatorial objects, namely rooted trees. We emphasize that such mappings achieve much more than enumeration of rooted trees. We discuss two related structural bijections. The first corresponds to a bijective map between integers and rooted trees. The first bijection also suggests a new algorithm for sifting primes. The second bijection extends the first one in order to map rational numbers to a family of rooted trees. The second bijection suggests a new combinatorial construction for generating reduced rational numbers, thereby producing refinements of the output of the Wilf-Calkin[1] Algorithm.
Free energy calculations, enhanced by a Gaussian ansatz, for the "chemical work" distribution.
Boulougouris, Georgios C
2014-05-15
The evaluation of the free energy is essential in molecular simulation because it is intimately related with the existence of multiphase equilibrium. Recently, it was demonstrated that it is possible to evaluate the Helmholtz free energy using a single statistical ensemble along an entire isotherm by accounting for the "chemical work" of transforming each molecule, from an interacting one, to an ideal gas. In this work, we show that it is possible to perform such a free energy perturbation over a liquid vapor phase transition. Furthermore, we investigate the link between a general free energy perturbation scheme and the novel nonequilibrium theories of Crook's and Jarzinsky. We find that for finite systems away from the thermodynamic limit the second law of thermodynamics will always be an inequality for isothermal free energy perturbations, resulting always to a dissipated work that may tend to zero only in the thermodynamic limit. The work, the heat, and the entropy produced during a thermodynamic free energy perturbation can be viewed in the context of the Crooks and Jarzinsky formalism, revealing that for a given value of the ensemble average of the "irreversible" work, the minimum entropy production corresponded to a Gaussian distribution for the histogram of the work. We propose the evaluation of the free energy difference in any free energy perturbation based scheme on the average irreversible "chemical work" minus the dissipated work that can be calculated from the variance of the distribution of the logarithm of the work histogram, within the Gaussian approximation. As a consequence, using the Gaussian ansatz for the distribution of the "chemical work," accurate estimates for the chemical potential and the free energy of the system can be performed using much shorter simulations and avoiding the necessity of sampling the computational costly tails of the "chemical work." For a more general free energy perturbation scheme that the Gaussian ansatz may not be
Krishnaswami, G S
2003-01-01
In recent work, we have developed a variational principle for large N multi-matrix models based on the extremization of non-commutative entropy. Here, we test the simplest variational ansatz for our entropic variational principle with Monte-Carlo measurements. In particular, we study the two matrix model with action Tr[{m^2 \\over 2} (A_1^2 + A_2^2) - {1 \\over 4} [A_1,A_2]^2] which has not been exactly solved. We estimate the expectation values of traces of products of matrices and also those of traces of products of exponentials of matrices (Wilson loop operators). These are compared with a Monte-Carlo simulation. We find that the simplest wignerian variational ansatz provides a remarkably good estimate for observables when $m^2$ is of order unity or more. For small values of m^2 the wignerian ansatz is not a good approximation: the measured correlations grow without bound, reflecting the non-convergence of matrix integrals defining the pure commutator squared action. Comparison of this ansatz with the exact ...
Bethe Ansatz for Supersymmetric Model Constructed from Uq[osp(2|2)(2)] R-Matrix
YANG Wen-Li; ZHEN Yi
2001-01-01
Using the algebraic Bethe ansatz method, we obtain the eigenvalues of transfer matrix of the supersymmetric model constructed from the R-matrix of the twisted affine superalgebra Uq[osp(2|2)(2)] in periodic boundary condition and twisted boundary condition.``
Shuaibu, A. [Department of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia and Physics Department, Faculty of Science, Nigerian Defence Academy, P.M.B 2109, Kaduna (Nigeria); Rahman, M. M. [Physics Department, Faculty of Science, Nigerian Defence Academy, P.M.B 2109, Kaduna (Nigeria)
2014-03-05
We study the low temperature behavior of a triangular lattice quantum spin-1 Heisenberg antiferromagnet with single-site anisotropy by using coordinate Bethe ansatz method. We compute the standard two-particle Hermitian Hamiltonian, and obtain the eigenfunctions and eigenvalue of the system. The obtained results show a number of advantages in comparison with many results.
Chao, S.-P.; Palacios, G.
2010-01-01
We derive the transport properties of a quantum dot subject to a source-drain bias voltage at zero temperature and magnetic field. Using the Scattering Bethe Anstaz, a generalization of the traditional Thermodynamic Bethe Ansatz to open systems out of equilibrium, we derive exact results for the
Hou, B; Yang, W L; Hou, Boyu; Sasaki, Ryu; Yang, Wen-Li
2004-01-01
Ruijsenaars-Schneider models associated with $A_{n-1}$ root system with a discrete coupling constant are studied. The eigenvalues of the Hamiltonian are givein in terms of the Bethe ansatz formulas. Taking the "non-relativistic" limit, we obtain the spectrum of the corresponding Calogero-Moser systems in the third formulas of Felder et al [20].
[Rational use of antibiotics].
Walger, P
2016-06-01
International and national campaigns draw attention worldwide to the rational use of the available antibiotics. This has been stimulated by the high prevalence rates of drug-resistant pathogens, such as methicillin-resistant Staphylococcus aureus (MRSA) and vancomycin-resistant enterococci (VRE), a threatening spread of development of resistance in Gram-negative rod-shaped bacteria and the selection of Clostridium difficile with a simultaneous clear reduction in the development of new antibiotics. The implementation of antibiotic stewardship programs aims to maintain their effectiveness by a rational use of the available antibiotics. The essential target of therapy with antibiotics is successful treatment of individual patients with bacterial infections. The optimal clinical treatment results can only be achieved when the toxicity, selection of pathogens and development of resistance are minimized. This article presents the principles of a rational antibiotic therapy.
Algebraic Topology, Rational Homotopy
1988-01-01
This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. Of particular interest for specialists are papers on construction of the minimal model in tame theory and computation of the Lusternik-Schnirelmann category by means articles on Moore conjectures, on tame homotopy and on the properties of Poincaré series of loop spaces.
Phronesis – hermeneutic rationality
Michał Januszkiewicz
2016-06-01
Full Text Available The paper is an attempt to rethink the problem of rationality in the humanities in the context of hermeneutics. The author argues that this concept of rationality must be founded on the Aristotelian concept of practical reason (phronesis. Phronesis is a need for discernment of the self or rather to find itself in its own, tangible, specific situation. This understanding concerns Being-inthe-world and belongs to what in Martin Heidegger’s ontohermeneutics we can determine precisely as understanding in the hermeneutic sense.
Ideal Theory, Real Rationality
Flyvbjerg, Bent
Understanding rationality and power are key to understanding actual political and administrative behavior. Political and administrative theory that ignores this fact stand in danger of being at best irrelevant or, at worst part of the problem it whishes to solve. The paper presents Jürgen Haberma...
In Between Magic and Rationality, Vibeke Steffen, Steffen Jöhncke, and Kirsten Marie Raahauge bring together a diverse range of ethnographies that examine and explore the forms of reflection, action, and interaction that govern the ways different contemporary societies create and challenge...
Dryden, Windy
2010-01-01
In this title, highly respected author, Windy Dryden, discusses some of the ideas that are central to the theory underpinning rational emotive behaviour therapy (REBT). Founded in 1955 by Albert Ellis (1913-2007) and developed in the intervening years, REBT was the first approach to be created within what is now known as the cognitive behaviour therapy (CBT) tradition.
Diagnosis, Dogmatism, and Rationality.
Rabinowitz, Jonathan; Efron, Noah J.
1997-01-01
Presents findings suggesting that misdiagnoses frequently stem from flaws in human information processing, particularly in collecting and using information. Claims that improved diagnostic tools will not remedy the problem. Drawing on the work of Karl Popper and Robin Collingwood, proposes operational principles to ensure a rational diagnostic…
Ideal Theory, Real Rationality
Flyvbjerg, Bent
Understanding rationality and power are key to understanding actual political and administrative behavior. Political and administrative theory that ignores this fact stand in danger of being at best irrelevant or, at worst part of the problem it whishes to solve. The paper presents Jürgen Habermas...
Rationality and social behavior.
Tullberg, Jan
2003-10-21
This article penetrates the relationship between social behavior and rationality. A critical analysis is made of efforts to classify some behaviors as altruistic, as they simultaneously meet criteria of rationality by not truly being self-destructive. Newcomb's paradox is one attempt to create a hybrid behavior that is both irrational and still meets some criterion of rationality. Such dubious rationality is often seen as a source of altruistic behavior. Group selection is a controversial topic. Sober and Wilson (Unto Others--The Evolution and Psychology of Unselfish Behavior, Harvard University Press, Cambridge, MA, 1998) suggest that a very wide concept of group selection might be used to explain altruism. This concept also includes kin selection and reciprocity, which blurs its focus. The latter mechanisms hardly need further arguments to prove their existence. This article suggests that it is group selection in a strict sense that should be investigated to limit semantic neologism and confusion. In evaluation, the effort to muster a mechanism for altruism out of group selection has not been successful. However, this is not the end to group selection, but rather a good reason to investigate more promising possibilities. There is little reason to burden group selection with the instability of altruism caused by altruistic members of a group having lower fitness than egoistic members. Group selection is much more likely to develop in combination with group egoism. A common project is supported by incitement against free riding, where conformist members joined in solidarity achieve a higher fitness than members pursuing more individualistic options. Group egoism is in no conflict with rationality, and the effects of group selection will be supported rather than threatened by individual selection. Empirical evidence indicates a high level of traits such as conformism and out-group antagonism in line with group egoism. These traits are also likely candidates for
VT - Vermont Rational Service Areas
Vermont Center for Geographic Information — Data Layer Name: Vermont Rational Service Areas (RSAs)Alternate Name: Vermont RSAsOverview:Rational Service Areas (RSAs), originally developed in 2001 and revised in...
Rational management of epilepsy.
Viswanathan, Venkataraman
2014-09-01
Management of epilepsies in children has improved considerably over the last decade, all over the world due to the advances seen in the understanding of the patho-physiology of epileptogenesis, availability of both structural and functional imaging studies along with better quality EEG/video-EEG recordings and the availability of a plethora of newer anti-epileptic drugs which are tailormade to act on specific pathways. In spite of this, there is still a long way to go before one is able to be absolutely rational about which drug to use for which type of epilepsy. There have been a lot of advances in the area of epilepsy surgery and is certainly gaining ground for specific cases. Better understanding of the genetic basis of epilepsies will hopefully lead to a more rational treatment plan in the future. Also, a lot of work needs to be done to dispel various misunderstandings and myths about epilepsy which still exists in our country.
Alternative Disaster Feeding Ration
2012-06-08
is that a healthy person can last about a week without food, but children are more vulnerable lasting for just a few days. In these scenarios, the...ration bar could be edible across different health or dietary constrained populations. For example, diabetics or those with high cholesterol could...Hurricane Katrina was a powerful Category 5 storm that devastated the southeastern states along the Gulf of Mexico in 2005.2 Having seen the aftermath
Bethe ansatz solution for a defect particle in the asymmetric exclusion process
Derrida, B.; Evans, M. R.
1999-07-01
The asymmetric exclusion process on a ring in one dimension is considered with a single defect particle. The steady state has previously been solved by a matrix product method. Here we use the Bethe ansatz to solve exactly for the long time limit behaviour of the generating function of the distance travelled by the defect particle. This allows us to recover steady state properties known from the matrix approach such as the velocity, and obtain new results such as the diffusion constant of the defect particle. In the case where the defect particle is a second-class particle we determine the large deviation function and show that in a certain range the distribution of the distance travelled about the mean is Gaussian. Moreover, the variance (diffusion constant) grows as L1/2 where L is the system size. This behaviour can be related to the superdiffusive spreading of excess mass fluctuations on an infinite system. In the case where the defect particle produces a shock, our expressions for the velocity and the diffusion constant coincide with those calculated previously for an infinite system by Ferrari and Fontes.
Variational ansatz for the nonlinear Landau-Zener problem for cold atom association
Ishkhanyan, A [Institute for Physical Research NAS of Armenia, 0203 Ashtarak-2 (Armenia); Joulakian, B [LPMC, Universite Paul Verlaine-Metz, 1 Bld Arago, 57078 Metz Cedex 3 (France); Suominen, K-A [Department of Physics and Astronomy, University of Turku, 20014 Turun yliopisto (Finland)
2009-11-28
We present a rigorous analysis of the Landau-Zener linear-in-time term crossing problem for quadratic-nonlinear systems relevant to the coherent association of ultracold atoms in degenerate quantum gases. Our treatment is based on an exact third-order nonlinear differential equation for the molecular state probability. Applying a variational two-term ansatz, we construct a simple approximation that accurately describes the whole-time dynamics of the coupled atom-molecular system for any set of involved parameters. Ensuring an absolute error of less than 10{sup -5} for the final transition probability, the resultant solution improves by several orders of magnitude the accuracy of the previous approximations by A Ishkhanyan et al developed separately for the weak coupling (2005 J. Phys. A: Math. Gen. 38 3505) and strong interaction (2006 J. Phys. A: Math. Gen. 39 14887) limits. In addition, the constructed approximation covers the whole moderate-coupling regime, providing this intermediate regime with the same accuracy as the two mentioned limits. The obtained results reveal the remarkable observation, that for the strong-coupling limit the resonance crossing is mostly governed by the nonlinearity, while the coherent atom-molecular oscillations arising soon after the resonance has been crossed are basically of a linear nature. This observation is supposed to be of a general character, due to the basic attributes of the resonance-crossing processes in the nonlinear quantum systems of the discussed type of involved quadratic nonlinearity. (fast track communication)
Exact results in the Skyrme model in (3+1) dimensions via the generalized hedgehog ansatz
Canfora, Fabrizio
2016-09-01
We present exact results in the (3 + 1) -dimensional Skyrme model. First of all, it will be shown that, in the Pionic sector, a quite remarkable phenomenon for a non-integrable (3 + 1) -dimensional field theory appears: a non-linear superposition law is available allowing the composition of solutions in order to generate new solutions of the full field equations keeping alive, at the same time, the interactions terms in the energy-density. Secondly, it will be shown that the generalized hedgehog ansatz can be extended to suitable curved backgrounds. Interestingly, one can choose the background metric in such a way to describe finite-volume effects and, at the same time, to simplify the Skyrme field equations. In this way, it is possible to construct the first exact multi-Skyrmionic configurations of the (3 + 1) -dimensional Skyrme model with arbitrary high winding number and living at finite volume. Last but not least, a novel BPS bound (which is sharper than the usual one in term of the winding number) will be derived which can be saturated and reduces the field equations to a first-order equation for the profile.
Destri, C
1994-01-01
We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic chains and field theories that includes the finite size (and zero temperature) calculations for lattice BA models. In all cases, the free energy follows by quadratures from the solution of a {\\bf single} non-linear integral equation (NLIE). [A system of NLIE appears for nested BA]. We derive the NLIE for: a) the six-vertex model with twisted boundary conditions; b) the XXZ chain in an external magnetic field h_z and c) the sine-Gordon-massive Thirring model (sG-mT) in a periodic box of size \\b \\equiv 1/T using the light-cone approach. This NLIE is solved by iteration in one regime (high T in the XXZ chain and low T in the sG-mT model). In the opposite (conformal) regime, the leading behaviors are obtained in closed form. Higher corrections can be derived from the Riemann-Hilbert form of the NLIE that we present.
Ruban, V. P., E-mail: ruban@itp.ac.ru [Russian Academy of Sciences, Landau Institute for Theoretical Physics (Russian Federation)
2015-05-15
The nonlinear dynamics of an obliquely oriented wave packet on a sea surface is analyzed analytically and numerically for various initial parameters of the packet in relation to the problem of the so-called rogue waves. Within the Gaussian variational ansatz applied to the corresponding (1+2)-dimensional hyperbolic nonlinear Schrödinger equation (NLSE), a simplified Lagrangian system of differential equations is derived that describes the evolution of the coefficients of the real and imaginary quadratic forms appearing in the Gaussian. This model provides a semi-quantitative description of the process of nonlinear spatiotemporal focusing, which is one of the most probable mechanisms of rogue wave formation in random wave fields. The system of equations is integrated in quadratures, which allows one to better understand the qualitative differences between linear and nonlinear focusing regimes of a wave packet. Predictions of the Gaussian model are compared with the results of direct numerical simulation of fully nonlinear long-crested waves.
Computational Intelligence Determines Effective Rationality
无
2008-01-01
Rationality is a fundamental concept in economics. Most researchers will accept that human beings are not fully rational.Herbert Simon suggested that we are "bounded rational". However, it is very difficult to quantify "bounded rationality", and therefore it is difficult to pinpoint its impact to all those economic theories that depend on the assumption of full rationality. Ariel Rubinstein proposed to model bounded rationality by explicitly specifying the decision makers' decision-making procedures. This paper takes a computational point of view to Rubinstein's approach. From a computational point of view, decision procedures can be encoded in algorithms and heuristics. We argue that, everything else being equal, the effective rationality of an agent is determined by its computational power - we refer to this as the computational intelligence determines effective rationality (CIDER) theory. This is not an attempt to propose a unifying definition of bounded rationality. It is merely a proposal of a computational point of view of bounded rationality. This way of interpreting bounded rationality enables us to (computationally) reason about economic systems when the full rationality assumption is relaxed.
Masoero, Davide; Valeri, Daniele
2015-01-01
We assess the ODE/IM correspondence for the quantum $\\mathfrak{g}$-KdV model, for a non-simply laced Lie algebra $\\mathfrak{g}$. This is done by studying a meromorphic connection with values in the Langlands dual algebra of the affine Lie algebra ${\\mathfrak{g}}^{(1)}$, and constructing the relevant $\\Psi$-system among subdominant solutions. We then use the $\\Psi$-system to prove that the generalized spectral determinants satisfy the Bethe Ansatz equations of the quantum $\\mathfrak{g}$-KdV model. We also consider generalized Airy functions for twisted Kac--Moody algebras and we construct new explicit solutions to the Bethe Ansatz equations. The paper is a continuation of our previous work on the ODE/IM correspondence for simply-laced Lie algebras.
Masoero, Davide; Raimondo, Andrea; Valeri, Daniele
2016-09-01
We assess the ODE/IM correspondence for the quantum g -KdV model, for a non-simply laced Lie algebra g. This is done by studying a meromorphic connection with values in the Langlands dual algebra of the affine Lie algebra g^{(1)} , and constructing the relevant {Ψ} -system among subdominant solutions. We then use the {Ψ} -system to prove that the generalized spectral determinants satisfy the Bethe Ansatz equations of the quantum g -KdV model. We also consider generalized Airy functions for twisted Kac-Moody algebras and we construct new explicit solutions to the Bethe Ansatz equations. The paper is a continuation of our previous work on the ODE/IM correspondence for simply-laced Lie algebras.
CIME-CIRM course Rationality Problems in Algebraic Geometry
Pirola, Gian
2016-01-01
Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel–Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.
Mandal, Soma; Moudgil, Mee'nal; Mandal, Sanat K
2009-12-25
In this article, current knowledge of drug design is reviewed and an approach of rational drug design is presented. The process of drug development is challenging, expensive, and time consuming, although this process has been accelerated due to the development of computational tools and methodologies. The current target based drug design approach is incomplete because most of the drugs developed by structure guided approaches have been shown to have serious toxic side effects. Otherwise these drugs would have been an ideal choice for the treatment of diseases. Hence, rational drug design would require a multidisciplinary approach. In this regard, incorporation of gene expression technology and bioinformatics tools would be indispensable in the structure based drug design. Global gene expression data and analysis of such data using bioinformatics tools will have numerous benefits such as efficiency, cost effectiveness, time saving, and will provide strategies for combination therapy in addition to overcoming toxic side effects. As a result of incorporation of gene expression data, partial benefit of the structure based drug design is slowly emerging and rapidly changing the approach of the drug development process. To achieve the full benefit of developing a successful drug, multidisciplinary approaches (approaches such as computational chemistry and gene expression analysis, as discussed in this article) would be necessary. In the future, there is adequate room for the development of more sophisticated methodologies.
WEN Xiao-Yong
2009-01-01
With the aid of symbolic computation system Maple, some families of new rational variable separation solutions of the (2+1)-dimensional dispersive long wave equations are constructed by means of a function transformation, improved mapping approach, and variable separation approach, among which there are rational solitary wave solutions, periodic wave solutions and rational wave solutions.
Credit rationing and firm size
G. CALCAGNINI
2013-10-01
Full Text Available This paper examines the likelihood of credit rationing faced by firms of different size. Contrary to common thought, several recent contributions on this topic argue that, when rationing credit, size alone is not a sufficient condition for discriminating between firms. We show that this result can be predicted using a framework based on the Stiglitz-Weiss model. In particular, in an environment of asymmetric information, we highlight how the likelihood of credit rationing depends upon the shape of the distribution function of project returns, especially its asymmetry and Kurtosis. Our empirical results do not support the hypothesis that small firms face more credit rationing than larger firms.
Hegel's phenomenology of rationality
Huggler, Jørgen
2009-01-01
The aim of this chapter is to elucidate Hegel's conception of rationality in the Phänomenologie des Geistes (1807), and to defend the thesis that he is an author engaged in discussion with a wide variety of sources. He uses sceptical reasoning to form a line of argument with a necessary progression......, although the various materials that he considers are not linked in a simple, compelling logical way. The paper discusses what Hegel aimed at and the methods he used to reach his goal (sect. 1). These considerations are then used to cast an eye on the development of the contents of the book (sect. 2). Last......, the paper presents a metaphysical interpretation of the course of experiences and discusses why Hegel's sceptical method is adequate to the metaphysics of spirit with which the book concludes (sect. 3)....
Atomic-accuracy prediction of protein loop structures through an RNA-inspired Ansatz.
Rhiju Das
Full Text Available Consistently predicting biopolymer structure at atomic resolution from sequence alone remains a difficult problem, even for small sub-segments of large proteins. Such loop prediction challenges, which arise frequently in comparative modeling and protein design, can become intractable as loop lengths exceed 10 residues and if surrounding side-chain conformations are erased. Current approaches, such as the protein local optimization protocol or kinematic inversion closure (KIC Monte Carlo, involve stages that coarse-grain proteins, simplifying modeling but precluding a systematic search of all-atom configurations. This article introduces an alternative modeling strategy based on a 'stepwise ansatz', recently developed for RNA modeling, which posits that any realistic all-atom molecular conformation can be built up by residue-by-residue stepwise enumeration. When harnessed to a dynamic-programming-like recursion in the Rosetta framework, the resulting stepwise assembly (SWA protocol enables enumerative sampling of a 12 residue loop at a significant but achievable cost of thousands of CPU-hours. In a previously established benchmark, SWA recovers crystallographic conformations with sub-Angstrom accuracy for 19 of 20 loops, compared to 14 of 20 by KIC modeling with a comparable expenditure of computational power. Furthermore, SWA gives high accuracy results on an additional set of 15 loops highlighted in the biological literature for their irregularity or unusual length. Successes include cis-Pro touch turns, loops that pass through tunnels of other side-chains, and loops of lengths up to 24 residues. Remaining problem cases are traced to inaccuracies in the Rosetta all-atom energy function. In five additional blind tests, SWA achieves sub-Angstrom accuracy models, including the first such success in a protein/RNA binding interface, the YbxF/kink-turn interaction in the fourth 'RNA-puzzle' competition. These results establish all-atom enumeration as
Rationality in children: the first steps
Andrew Woodfield
1991-12-01
Full Text Available Not all categorization is conceptual. Many of the experimental findings concerning infant and animal categorization invite the hypothesis that the subjects form abstract perceptual representations, mental models or cognitive maps that are not composed of concepts. The paper is a reflection upon the idea that conceptual categorization involves the ability to make categorical judgements under the guidance of norms of rationality. These include a norm of truth-seeking and a norm of good evidence. Acceptance of these norms implies willingness to defer to cognitive authorities, unwillingness to commit oneself to contradictions, and knowledge of how to reorganize one's representational system upon discovering that one has made a mistake. It is proposed that the cognitive architecture required for basic rationality is similar to that which underlies pretend-play. The representational system must be able to make room for separate 'mental spaces' in which alternatives to the actual world are entertained. The same feature underlies the ability to understand modalities, time, the appearance-reality distinction, other minds, and ethics. Each area of understanding admits of degrees, and mastery (up to normal adult level takes years. But rational concept-management, at least in its most rudimentary form, does not require a capacity to form second-order representations. It requires knowledge of how to operate upon, and compare, the contents of different mental spaces.
Rationality problem for algebraic tori
Hoshi, Akinari
2017-01-01
The authors give the complete stably rational classification of algebraic tori of dimensions 4 and 5 over a field k. In particular, the stably rational classification of norm one tori whose Chevalley modules are of rank 4 and 5 is given. The authors show that there exist exactly 487 (resp. 7, resp. 216) stably rational (resp. not stably but retract rational, resp. not retract rational) algebraic tori of dimension 4, and there exist exactly 3051 (resp. 25, resp. 3003) stably rational (resp. not stably but retract rational, resp. not retract rational) algebraic tori of dimension 5. The authors make a procedure to compute a flabby resolution of a G-lattice effectively by using the computer algebra system GAP. Some algorithms may determine whether the flabby class of a G-lattice is invertible (resp. zero) or not. Using the algorithms, the suthors determine all the flabby and coflabby G-lattices of rank up to 6 and verify that they are stably permutation. The authors also show that the Krull-Schmidt theorem for G-...
Convergence of rays with rational argument in hyperbolic components
Deniz, Asli
2015-01-01
In this paper, we use the Carathéodory convergence theory to prove a landing theorem of rays in hyperbolic components with rational arguments. Although the proof is done in the setting of a family of entire transcendental maps with two singular values, the method, with some modifications, can...
A RATIONAL SEPCTRAL METHOD FOR SINGULAR DIFFERENTIAL EQUATIONS
王中庆; 王立联; 郭本瑜
2003-01-01
An orthogonal system of rational functions is derived from the mapped Laguerre polynomials,which is used for numerical solution of singular differential equations.A model problem is considered.A multiple-step algorithm is developed to implement this method.Numerical results show the efficiency of this new approach.
Quantum contextuality for rational vectors
Cabello, Adan
2010-01-01
The Kochen-Specker theorem states that noncontextual hidden variable models are inconsistent with the quantum predictions for every yes-no question on a qutrit, corresponding to every projector in three dimensions. It has been suggested [D. A. Meyer, Phys. Rev. Lett. 83, 3751 (1999)] that the inconsistency would disappear when we are restricted to projectors on unit vectors with rational components; that noncontextual hidden variables could reproduce the quantum predictions for rational vectors. Here we show that a qutrit state with rational components violates an inequality valid for noncontextual hidden-variable models [A. A. Klyachko et al., Phys. Rev. Lett. 101, 020403 (2008)] using rational projectors. This shows that the inconsistency remains even when using only rational vectors.
Quantum contextuality for rational vectors
Cabello, Adan, E-mail: adan@us.e [Departamento de Fisica Aplicada II, Universidad de Sevilla, E-41012 Sevilla (Spain); Larsson, Jan-Ake, E-mail: jan-ake.larsson@liu.s [Institutionen foer Systemteknik, Linkoepings Universitet, SE-581 83 Linkoeping (Sweden)
2010-12-01
The Kochen-Specker theorem states that noncontextual hidden variable models are inconsistent with the quantum predictions for every yes-no question on a qutrit, corresponding to every projector in three dimensions. It has been suggested [D.A. Meyer, Phys. Rev. Lett. 83 (1999) 3751] that the inconsistency would disappear when restricting to projectors on unit vectors with rational components; that noncontextual hidden variables could reproduce the quantum predictions for rational vectors. Here we show that a qutrit state with rational components violates an inequality valid for noncontextual hidden-variable models [A.A. Klyachko et al., Phys. Rev. Lett. 101 (2008) 020403] using rational projectors. This shows that the inconsistency remains even when using only rational vectors.
Limited rationality and strategic interaction
Fehr, Ernst; Tyran, Jean-Robert
2008-01-01
Much evidence suggests that people are heterogeneous with regard to their abilities to make rational, forward-looking decisions. This raises the question as to when the rational types are decisive for aggregate outcomes and when the boundedly rational types shape aggregate results. We examine...... this question in the context of a long-standing and important economic problem: the adjustment of nominal prices after an anticipated monetary shock. Our experiments suggest that two types of bounded rationality-money illusion and anchoring-are important behavioral forces behind nominal inertia. However......, depending on the strategic environment, bounded rationality has vastly different effects on aggregate price adjustment. If agents' actions are strategic substitutes, adjustment to the new equilibrium is extremely quick, whereas under strategic complementarity, adjustment is both very slow and associated...
Standby gasoline rationing plan: narrative
1979-02-01
The objectives of the rationing plan are to provide a mechanism capable of maintaining an orderly and equitable market for gasoline in a severe supply shortfall, and capable of rapid implementation; and to comply with requirements of EPCA, which mandates the development of a contingency rationing plan. Eligibility for ration allotments will be based principally on motor vehicle registration records, maintained in a national vehicle registration file. Supplemental allotments will be granted for certain priority activities to ensure the maintenance of essential public services. Supplemental allotments will also be granted to businesses and government organizations with significant off-highway gasoline requirements. Local rationing boards or other offices will be established by states, to provide special allotments to hardship applicants, within DOE guidelines. The background and history of the plan are described. The gasoline rationing plan operations, government operations, program costs, staffing, and funding are also detailed in this report. (MCW)
Integrable spin-boson models descending from rational six-vertex models
Amico, L. [MATIS-INFM and Dipartimento di Metodologie Fisiche e Chimiche (DMFCI), Universita di Catania, viale A. Doria 6, I-95125 Catania (Italy)], E-mail: lamico@dmfci.unict.it; Frahm, H.; Osterloh, A. [Institut fuer Theoretische Physik, Leibniz Universitaet Hannover, Appelstrasse 2, D-30167 Hannover (Germany); Ribeiro, G.A.P. [Theoretische Physik, Universitaet Wuppertal, Gaussstrasse 20, D-42097 Wuppertal (Germany); Universidade Federal de Sao Carlos, Departamento de Fisica, CP 676, 13565-905 Sao Carlos-SP (Brazil)
2007-12-31
We construct commuting transfer matrices for models describing the interaction between a single quantum spin and a single bosonic mode using the quantum inverse scattering framework. The transfer matrices are obtained from certain inhomogeneous rational vertex models combining bosonic and spin representations of SU(2), subject to non-diagonal toroidal and open boundary conditions. Only open boundary conditions are found to lead to integrable Hamiltonians combining both rotating and counter-rotating terms in the interaction. If the boundary matrices can be brought to triangular form simultaneously, the spectrum of the model can be obtained by means of the algebraic Bethe ansatz after a suitable gauge transformation; the corresponding Hamiltonians are found to be non-Hermitian. Alternatively, a certain quasi-classical limit of the transfer matrix is considered where Hermitian Hamiltonians are obtained as members of a family of commuting operators; their diagonalization, however, remains an unsolved problem.
Rationality in a general model of choice
Somdeb Lahiri
2015-09-01
Full Text Available In this paper we consider choice correspondences which may be empty-valued. We study conditions under which such choice correspondences are rational, transitively rational, partially rational, partially almost transitive rational, partially almost quasi-transitive rational. This provides fresh impetus and understanding of multi-criteria decision making.
Rational offset approximation of rational Bézier curves
CHENG Min; WANG Guo-jin
2006-01-01
The problem of parametric speed approximation of a rational curve is raised in this paper. Offset curves are widely used in various applications. As for the reason that in most cases the offset curves do not preserve the same polynomial or rational polynomial representations, it arouses difficulty in applications. Thus approximation methods have been introduced to solve this problem. In this paper, it has been pointed out that the crux of offset curve approximation lies in the approximation of parametric speed. Based on the Jacobi polynomial approximation theory with endpoints interpolation, an algebraic rational approximation algorithm of offset curve, which preserves the direction of normal, is presented.
Wittenbrink, Nils; Venghaus, Florian; Williams, David; Eisfeld, Wolfgang
2016-11-01
A new diabatization method is presented, which is suitable for the development of accurate high-dimensional coupled potential energy surfaces for use in quantum dynamics studies. The method is based on the simultaneous use of adiabatic wave function and energy data, respectively, and combines block-diagonalization and diabatization by ansatz approaches. It thus is called hybrid diabatization. The adiabatic wave functions of suitable ab initio calculations are projected onto a diabatic state space and the resulting vectors are orthonormalized like in standard block-diagonalization. A parametrized diabatic model Hamiltonian is set up as an ansatz for which the block-diagonalization data can be utilized to find the optimal model. Finally, the parameters are optimized with respect to the ab initio reference data such that the deviations between adiabatic energies and eigenvalues of the model as well as projected state vectors and eigenvectors of the model are minimized. This approach is particularly advantageous for problems with a complicated electronic structure where the diabatic state space must be of higher dimension than the number of calculated adiabatic states. This is an efficient way to handle problems with intruder states, which are very common for reactive systems. The use of wave function information also increases the information content for each data point without additional cost, which is beneficial in handling the undersampling problem for high-dimensional systems. The new method and its performance are demonstrated by application to three prototypical systems, ozone (O3), methyl iodide (CH3I), and propargyl (H2CCCH).
Brothers, Kyle B
2011-04-01
Provider claims to conscientious objection have generated a great deal of heated debate in recent years. However, the conflicts that arise when providers make claims to the "conscience" are only a subset of the more fundamental challenges that arise in health care practice when patients and providers come into conflict. In this piece, the author provides an account of patient-provider conflict from within the moral tradition of St. Thomas Aquinas. He argues that the practice of health care providers should be understood as a form of practical reasoning and that this practical reasoning must necessarily incorporate both "moral" and "professional" commitments. In order to understand how the practical reasoning of provider should account for the needs and commitments of the patient and vice versa, he explores the account of dependence provided by Alasdair MacIntyre in his book Dependent Rational Animals. MacIntyre argues that St. Thomas' account of practical reasoning should be extended and adapted to account for the embodied vulnerability of all humans. In light of this insight, providers must view patients not only as the subjects of their moral reflection but also as fellow humans upon whom the provider depends for feedback on the effectiveness and relevance of her practical reasoning. The author argues that this account precludes responsive providers from adopting either moral or professional conclusions on the appropriateness of interventions outside the individual circumstances that arise in particular situations. The adoption of this orientation toward patients will neither eradicate provider-patient conflict nor compel providers to perform interventions to which they object. But this account does require that providers attend meaningfully to the suffering of patients and seek feedback on whether their intervention has effectively addressed that suffering.
Collective action and rationality models
Luis Miguel Miller Moya
2004-01-01
Full Text Available The Olsonian theory of collective action (Olson, 1965 assumes a model of economic rationality, based on a simple calculus between costs and benefits, that can be hardly hold at present, given the models of rationality proposed recently by several fields of research. In relation to these fields, I will concentrate in two specific proposals, namely: evolutionary game theory and, over all, the theory of bounded rationality. Both alternatives are specially fruitful in order to propose models that do not need a maximizing rationality, or environments of complete and perfect information. Their approaches, based on the possibility of individual learning over the time, have contributed to the analysis of the emergence of social norms, which is something really necessary to the resolution of problems related to cooperation. Thus, this article asserts that these two new theoretical contributions make feasible a fundamental advance in the study of collective action.
Rationality in the Cryptographic Model
Hubacek, Pavel
This thesis presents results in the field of rational cryptography. In the first part we study the use of cryptographic protocols to avoid mediation and binding commitment when implementing game theoretic equilibrium concepts. First, we concentrate on the limits of cryptographic cheap talk....... The second part presents a study of the problem of verifiable delegation of computation in the rational setting. We define rational arguments, an extension of the recent concept of rational proofs into the computational setting, and give a single round delegation scheme for the class NC1, of search problems...... computable by log-space uniform circuits of logarithmic depth, with a sub-linear time verifier. While our approach provides a weaker (yet arguably meaningful) guarantee of soundness, it compares favorably with each of the known delegation schemes in at least one aspect. Our protocols are simple, rely...
Rational reconstructions of modern physics
Mittelstaedt, Peter
2013-01-01
Newton’s classical physics and its underlying ontology are loaded with several metaphysical hypotheses that cannot be justified by rational reasoning nor by experimental evidence. Furthermore, it is well known that some of these hypotheses are not contained in the great theories of Modern Physics, such as the theory of Special Relativity and Quantum Mechanics. This book shows that, on the basis of Newton’s classical physics and by rational reconstruction, the theory of Special Relativity as well as Quantum Mechanics can be obtained by partly eliminating or attenuating the metaphysical hypotheses. Moreover, it is shown that these reconstructions do not require additional hypotheses or new experimental results. In the second edition the rational reconstructions are completed with respect to General Relativity and Cosmology. In addition, the statistics of quantum objects is elaborated in more detail with respect to the rational reconstruction of quantum mechanics. The new material completes the approach of t...
The rationing agenda in the NHS. Rationing Agenda Group.
New, B
1996-06-22
The Rationing Agenda Group has been founded to deepen the British debate on rationing health care. It believes that rationing in health care is inevitable and that the public must be involved in the debate about issues relating to rationing. The group comprises people from all parts of health care, none of whom represent either their group or their institutions. RAG has begun by producing this document, which attempts to set an agenda of all the issues that need to be considered when debating the rationing of health care. We hope for responses to the document. The next stage will be to incorporate the responses into the agenda. Then RAG will divide the agenda into manageable chunks and commission expert, detailed commentaries. From this material a final paper will be published and used to prompt public debate. This stage should be reached early in 1997. While these papers are being prepared RAG is developing ways to involve the public in the debate and evaluate the whole process. We present as neutrally as possible all the issues related to rationing and priority setting in the NHS. We focus on the NHS for two reasons. Firstly, for those of us resident in the United Kingdom the NHS is the health care system with which we are most familiar and most concerned. Secondly, focusing on one system alone allows more coherent analysis than would be possible if issues in other systems were included as well. Our concern is with the delivery of health care, not its finance, though we discuss the possible effects of changing the financing system of the NHS. Finally, though our position is neutral, we hold two substantive views--namely, that rationing is unavoidable and that there should be more explicit debate about the principles and issues concerned. We consider the issues under four headings: preliminaries, ethics, democracy, and empirical questions. Preliminaries deal with the semantics of rationing, whether rationing is necessary, and with the range of services to which
Is Polish Crime Economically Rational?
2010-01-01
This study investigates whether crime in Poland is governed by economic rationality. An economic model of rational behavior claims that the propensity to commit criminal activi-ties is negatively related to deterrence. The potential presence of higher risk profiles for certain population segments is investigated. Panel data aggregated to sub-regional levels and observed annually for the years 2003 to 2005 are applied. Controls for endogeneity among criminal activity level and deterrence, intr...
Interpolation of rational matrix functions
Ball, Joseph A; Rodman, Leiba
1990-01-01
This book aims to present the theory of interpolation for rational matrix functions as a recently matured independent mathematical subject with its own problems, methods and applications. The authors decided to start working on this book during the regional CBMS conference in Lincoln, Nebraska organized by F. Gilfeather and D. Larson. The principal lecturer, J. William Helton, presented ten lectures on operator and systems theory and the interplay between them. The conference was very stimulating and helped us to decide that the time was ripe for a book on interpolation for matrix valued functions (both rational and non-rational). When the work started and the first partial draft of the book was ready it became clear that the topic is vast and that the rational case by itself with its applications is already enough material for an interesting book. In the process of writing the book, methods for the rational case were developed and refined. As a result we are now able to present the rational case as an indepe...
Aggarwal, Varinder K; Alonso, Emma; Bae, Imhyuck; Hynd, George; Lydon, Kevin M; Palmer, Matthew J; Patel, Mamta; Porcelloni, Marina; Richardson, Jeffery; Stenson, Rachel A; Studley, John R; Vasse, Jean-Luc; Winn, Caroline L
2003-09-10
enantioselectivity was small, the efficiency of diazo compound generation was influenced, and CH(3)CN and 1,4-dioxane emerged as the optimum solvents. A general rationalization of the factors that influence both relative and absolute stereochemistry for all of the different substrates is provided. Reversibility in formation of the betaine intermediate is an important issue in the control of diastereoselectivity. Hence, where low diastereocontrol was observed, the results have been rationalized in terms of the factors that contribute to the reduced reversion of the syn betaine back to the original starting materials. The enantioselectivity is governed by ylide conformation, facial selectivity in the ylide reaction, and, again, the degree of reversibility in betaine formation. From experimental evidence and calculations, it has been shown that sulfide 7 gives almost complete control of facial selectivity, and, hence, it is the ylide conformation and degree of reversibility that are responsible for the enantioselectivity observed. A simple test has been developed to ascertain whether the reduced enantioselectivity observed in particular cases is due to poor control in ylide conformation or due to partial reversibility in the formation of the betaine.
Zen, Andrea; Coccia, Emanuele; Luo, Ye; Sorella, Sandro; Guidoni, Leonardo
2014-03-11
Diradical molecules are essential species involved in many organic and inorganic chemical reactions. The computational study of their electronic structure is often challenging, because a reliable description of the correlation, and in particular of the static one, requires multireference techniques. The Jastrow correlated antisymmetrized geminal power (JAGP) is a compact and efficient wave function ansatz, based on the valence-bond representation, which can be used within quantum Monte Carlo (QMC) approaches. The AGP part can be rewritten in terms of molecular orbitals, obtaining a multideterminant expansion with zero-seniority number. In the present work we demonstrate the capability of the JAGP ansatz to correctly describe the electronic structure of two diradical prototypes: the orthogonally twisted ethylene, C2H4, and the methylene, CH2, representing respectively a homosymmetric and heterosymmetric system. In the orthogonally twisted ethylene, we find a degeneracy of π and π* molecular orbitals, as correctly predicted by multireference procedures, and our best estimates of the twisting barrier, using respectively the variational Monte Carlo (VMC) and the lattice regularized diffusion Monte Carlo (LRDMC) methods, are 71.9(1) and 70.2(2) kcal/mol, in very good agreement with the high-level MR-CISD+Q value, 69.2 kcal/mol. In the methylene we estimate an adiabatic triplet-singlet (X̃(3)B1-ã(1)A1) energy gap of 8.32(7) and 8.64(6) kcal/mol, using respectively VMC and LRDMC, consistently with the experimental-derived finding for Te, 9.363 kcal/mol. On the other hand, we show that the simple ansatz of a Jastrow correlated single determinant (JSD) wave function is unable to provide an accurate description of the electronic structure in these diradical molecules, both at variational level (VMC torsional barrier of C2H4 of 99.3(2) kcal/mol, triplet-singlet energy gap of CH2 of 13.45(10) kcal/mol) and, more remarkably, in the fixed-nodes projection schemes (LRDMC
A Collatz-type conjecture on the set of rational numbers
Javaheri, Mohammad
2010-01-01
Define $\\theta(x)=(x-1)/3$ if $x\\geq 1$, and $\\theta(x)=2x/(1-x)$ if $x<1$. We conjecture that the orbit of every positive rational number ends in 0. In particular, there does not exist any positive rational fixed point for a map in the semigroup $\\Omega$ generated by the maps $3x+1$ and $x/(x+2)$. In this paper, we prove that the asymptotic density of the set of elements in $\\Omega$ that have rational fixed points is zero.
Mapping 'Social Responsibility' in Science
Glerup, Cecilie; Horst, Maja
2014-01-01
This article employs the Foucauldian notion of ‘political rationality’ to map discussions and ideals about the responsibility of science toward society. By constructing and analyzing an archive of 263 journal papers, four political rationalities were identified: the Demarcation rationality, which...... aims to exclude the social from the scientific production in order to make it objective and thereby responsible; the Reflexivity rationality, which sees it as science's responsibility to let itself be guided by problems in society in choice of research focus and methods; the Contribution rationality......, which insists that responsible science should live up to public demands for innovation and democracy; and the Integration rationality, which advocates that science should be co-constructed with societal actors in order to be socially responsible. While each rationality is distinct, the article argues...
Love and rationality: on some possible rational effects of love
Gustavo Ortiz-Millán
Full Text Available In this paper I defend the idea that rather than disrupting rationality, as the common-sense conception has done it, love may actually help us to develop rational ways of thinking and acting. I make the case for romantic or erotic love, since this is the kind of love that is more frequently associated with irrationality in acting and thinking. I argue that this kind of love may make us develop epistemic and practical forms of rationality. Based on an analysis of its characteristic action tendencies, I argue that love may help us to develop an instrumental form of rationality in determining the best means to achieve the object of love. It may also narrow down the number of practical considerations that may help us to achieve our goals. Finally, love may generate rational ways of belief-formation by framing the parameters taken into account in perception and attention, and by bringing into light only a small portion of the epistemic information available. Love may make us perceive reality more acutely.
Kundu, Anjan
2016-01-01
Integrable quantum field models are known to exist mostly in one space-dimension. Exploiting the concept of multi-time in integrable systems and a Lax matrix of higher scaling order, we construct a novel quantum field model in quasi-two dimensions involving interacting fields. The Yang-Baxter integrability is proved for the model by finding a new kind of commutation rule for its basic fields, representing nonstandard scalar fields along the transverse direction. In spite of a close link with the quantum Landau-Lifshitz equation, the present model differs widely from it, in its content and the result obtained. Using further the algebraic Bethe ansatz we solve exactly the eigenvalue problem of this quantum field model for all its higher conserved operators. The idea presented here should instigate the construction of a novel class of integrable field and lattice models and exploration of a new type of underlying algebras.
Munshi, D; Melott, A L; Munshi, Dipak; Coles, Peter; Melott, Adrian L.
1999-01-01
We develop a diagrammatic technique to represent the multi-point cumulative probability density function (CPDF) of mass fluctuations in terms of the statistical properties of individual collapsed objects and relate this to other statistical descriptors such as cumulants, cumulant correlators and factorial moments. We use this approach to establish key scaling relations describing various measurable statistical quantities if clustering follows a simple general scaling ansatz, as expected in hierarchical models. We test these detailed predictions against high-resolution numerical simulations. We show that, when appropriate variables are used, the count probability distribution function (CPDF) and void probability distribution function (VPF) shows clear scaling properties in the non-linear regime. Generalising the results to the two-point count probability distribution function (2CPDF), and the bivariate void probability function (2VPF) we find good match with numerical simulations. We explore the behaviour of t...
Massless L\\"uscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
Abbott, Michael C
2015-01-01
In AdS5/CFT4 integrability the Bethe ansatz gives the spectrum of long strings, accurate up to exponentially small corrections. This is no longer true in AdS3, as we demonstrate here by studying L\\"uscher F-terms with a massless particle running in the loop. We apply this to the classic test of Hern\\'andez & L\\'opez, in which the su(2) sector Bethe equations (including one-loop dressing phase) should match the semiclassical string theory result for a circular spinning string. These calculations did not agree in AdS3xS3xT4, and we show that the sum of all massless L\\"uscher F-terms can reproduce the difference.
Yangian symmetry, S-matrices and Bethe Ansatz for the AdS{sub 5} x S{sup 5} superstring
Leeuw, M. de [Institute for Theoretical Physics and Spinoza Institute, Utrecht University (Netherlands)
2009-05-15
We discuss the relation between the recently derived bound state S-matrices for the AdS{sub 5} x S{sup 5} superstring and Yangian symmetry. We will study the relation between this Yangian symmetry and the Bethe ansatz. In particular we can use it to derive the Bethe equations for bound states. (Abstract Copyright [2009], Wiley Periodicals, Inc.)
Axioms for Rational Reinforcement Learning
Sunehag, Peter
2011-01-01
We provide a formal, simple and intuitive theory of rational decision making including sequential decisions that affect the environment. The theory has a geometric flavor, which makes the arguments easy to visualize and understand. Our theory is for complete decision makers, which means that they have a complete set of preferences. Our main result shows that a complete rational decision maker implicitly has a probabilistic model of the environment. We have a countable version of this result that brings light on the issue of countable vs finite additivity by showing how it depends on the geometry of the space which we have preferences over. This is achieved through fruitfully connecting rationality with the Hahn-Banach Theorem. The theory presented here can be viewed as a formalization and extension of the betting odds approach to probability of Ramsey and De Finetti.
Rational points on elliptic curves
Silverman, Joseph H
2015-01-01
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum. This accessibility, the informal writing style, and a wealth of exercises make Rational Points on Elliptic Curves an ideal introduction for students at all levels who are interested in learning about Diophantine equations and arithmetic geometry. Most concretely, an elliptic curve is the set of zeroes of a cubic polynomial in two variables. If the polynomial has rational coefficients, then one can ask for a description of those zeroes whose coordinates are either integers or rational numbers. It is this number theoretic question that is the main subject of this book. Topics covered include the geometry and ...
Epistemic Immodesty and Embodied Rationality
Giovanni Rolla
Full Text Available ABSTRACT Based on Pritchard's distinction (2012, 2016 between favoring and discriminating epistemic grounds, and on how those grounds bear on the elimination of skeptical possibilities, I present the dream argument as a moderate skeptical possibility that can be reasonably motivated. In order to block the dream argument skeptical conclusion, I present a version of phenomenological disjunctivism based on Noë's actionist account of perceptual consciousness (2012. This suggests that perceptual knowledge is rationally grounded because it is a form of embodied achievement - what I call embodied rationality -, which offers a way of dissolving the pseudo-problem of epistemic immodesty, namely, the seemingly counterintuitive thesis that one can acquire rationally grounded knowledge that one is not in a radical skeptical scenario.
Rational choice in field archaelology
Cătălin Pavel
2011-11-01
Full Text Available In the present article I attempt to apply advances in the study of instrumental and epistemic rationality to field archaeology in order to gain insights into the ways archaeologists reason. The cognitive processes, particularly processes of decision making, that enable archaeologists to conduct the excavation in the trench have not been adequately studied so far. I take my cues from two different bodies of theory. I first inquire into the potential that rational choice theory (RCT may have in modeling archaeological behaviour, and I define subjective expected utility, which archaeologists attempt to maximize, in terms of knowledge acquisition and social gain. Following Elster’s criticism of RCT, I conclude that RCT’s standards for rational action do not correspond with those ostensibly used in field archaeology, but that instrumental rationality has a prominent role in the “archaeological experiment”. I further explore if models proposed as reaction to RCT may account for archaeological decision making. I focus on fast and frugal heuristics, and search for archaeological illustrations for some of the cognitive biases that are better documented in psychological literature. I document confirmation and congruence biases, the endowment effect, observer-expectancy bias, illusory correlation, clustering illusion, sunk cost bias, and anchoring, among others and I propose that some of these biases are used as cognitive tools by archaeologists at work and retain epistemic value. However, I find formal logic to be secondary in the development of archaeological reasoning, with default logic and defeasible logic being used instead. I emphasize scientific knowledge as an actively negotiated social product of human inquiry, and conclude that to describe rationality in field archaeology a bounded rationality model is the most promising avenue of investigation.
Rationalizing the Promotion of Non-Rational Behaviors in Organizations.
Smith, Peter A. C.; Sharma, Meenakshi
2002-01-01
Organizations must balance rational/technical efficiency and emotions. Action learning has been proven to be effective for developing emotional openness in the workplace. Facilitators of action learning should draw upon the disciplines of counseling, Gestalt, psychodynamics, and Eastern philosophies. (Contains 23 references.) (SK)
Mental health as rational autonomy.
Edwards, R B
1981-08-01
Rather than eliminate the terms "mental health and illness" because of the grave moral consequences of psychiatric labeling, conservative definitions are proposed and defended. Mental health is rational autonomy, and mental illness is the sustained loss of such. Key terms are explained, advantages are explored, and alternative concepts are criticized. The value and descriptive components of all such definitions are consciously acknowledged. Where rational autonomy is intact, mental hospitals and psychotherapists should not think of themselves as treating an illness. Instead, they are functioning as applied axiologists, moral educators, spiritual mentors, etc. They deal with what Szasz has called "personal, social, and ethical problems in living." But mental illness is real.
Public policy, rationality and reason
Rodolfo Canto Sáenz
2015-07-01
Full Text Available This work suggests the incorporation of practical reason in the design, implementation and evaluation of public policies, alongside instrumental rationality. It takes two proposals that today point in this direction: Rawls distinction between reasonable (practical reason and rational (instrumental reason and what this author calls the CI Procedure (categorical imperative procedure and Habermas model of deliberative democracy. The main conclusion is that the analysis of public policies can not be limited to rather narrow limits of science, but requires the contribution of political and moral philosophy.
Rational Reconstructions of Modern Physics
Mittelstaedt, Peter
2011-01-01
Newton’s classical physics and its underlying ontology are loaded with several metaphysical hypotheses that cannot be justified by rational reasoning nor by experimental evidence. Furthermore, it is well known that some of these hypotheses are not contained in the great theories of modern physics, such as the theory of relativity and quantum mechanics. This book shows that, on the basis of Newton’s classical physics and by rational reconstruction, the theory of relativity as well as quantum mechanics can be obtained by partly eliminating or attenuating the metaphysical hypotheses. Moreover, it is shown that these reconstructions do not require additional hypotheses or new experimental results.
Optimal public rationing and price response.
Grassi, Simona; Ma, Ching-To Albert
2011-12-01
We study optimal public health care rationing and private sector price responses. Consumers differ in their wealth and illness severity (defined as treatment cost). Due to a limited budget, some consumers must be rationed. Rationed consumers may purchase from a monopolistic private market. We consider two information regimes. In the first, the public supplier rations consumers according to their wealth information (means testing). In equilibrium, the public supplier must ration both rich and poor consumers. Rationing some poor consumers implements price reduction in the private market. In the second information regime, the public supplier rations consumers according to consumers' wealth and cost information. In equilibrium, consumers are allocated the good if and only if their costs are below a threshold (cost effectiveness). Rationing based on cost results in higher equilibrium consumer surplus than rationing based on wealth.
Teaching Rational Decision-Making.
Woolever, Roberts
1978-01-01
Presented is an outline of a college course, "Education in American Society," that focused on teaching students rational decision-making skills while examining current issues in American Education. The outline is followed by student comments, reactions, and evaluations of the course. (JMD)
On Counting the Rational Numbers
Almada, Carlos
2010-01-01
In this study, we show how to construct a function from the set N of natural numbers that explicitly counts the set Q[superscript +] of all positive rational numbers using a very intuitive approach. The function has the appeal of Cantor's function and it has the advantage that any high school student can understand the main idea at a glance…
Rational Exponentials and Continued Fractions
Denny, J. K.
2012-01-01
Using continued fraction expansions, we can approximate constants, such as pi and e, using an appropriate integer n raised to the power x[superscript 1/x], x a suitable rational. We review continued fractions and give an algorithm for producing these approximations.
Personal Autonomy and Rational Suicide.
Webber, May A.; Shulman, Ernest
That certain suicides (which can be designated as rational) ought not to be interfered with is closely tied to the notion of the "right to autonomy." Specifically it is because the individual in question has this right that interference is prohibited. A proper understanding of the right to autonomy, while essential to understanding why suicide is…
Rational Normalization of Concentration Measures.
Bonckaert, P.; Egghe, L.
1991-01-01
Discusses normalization features of good concentration measures and extends the range of values of concentration measures that are population-size-independent. Rational normalization is described, and mathematical formulas for the coefficient of variation, Pratt's measure, the Gini index, Theil's measure, and Atkinson's indices are explained. (14…
A New Curve Algebraically but not Rationally Uniformized by Radicals
Pirola, Gian Pietro; Schlesinger, Enrico
2010-01-01
We give a new example of a curve C algebraically, but not rationally, uniformized by radicals. This means that C has no map onto the projective line P^1 with solvable Galois group, while there exists a curve C' that maps onto C and has a finite morphism to P^1 with solvable Galois group. We construct such a curve C of genus 9 in the second symmetric product of a general curve of genus 2. It is also an example of a genus 9 curve that does not satisfy condition S(4,2,9) of Abramovich and Harris.
Love and rationality: on some possible rational effects of love
Gustavo Ortiz-Millán
2007-01-01
Full Text Available In this paper I defend the idea that rather than disrupting rationality, as the common-sense conception has done it, love may actually help us to develop rational ways of thinking and acting. I make the case for romantic or erotic love, since this is the kind of love that is more frequently associated with irrationality in acting and thinking. I argue that this kind of love may make us develop epistemic and practical forms of rationality. Based on an analysis of its characteristic action tendencies, I argue that love may help us to develop an instrumental form of rationality in determining the best means to achieve the object of love. It may also narrow down the number of practical considerations that may help us to achieve our goals. Finally, love may generate rational ways of belief-formation by framing the parameters taken into account in perception and attention, and by bringing into light only a small portion of the epistemic information available. Love may make us perceive reality more acutely.Neste artigo defendo a idéia de que, em vez de perturbar a racionalidade, como a concepção do senso comum o faz, o amor pode, na verdade, ajudar-nos a desenvolver modos racionais de pensar e agir. Dou bons argumentos para o amor romântico ou erótico, uma vez que esse é o tipo de amor que é mais freqüentemente associado à irracionalidade no agir e no pensar. Argumento que esse tipo de amor pode fazer-nos desenvolver formas epistêmicas e práticas de racionalidade. Com base em uma análise de suas tendências características para a ação, argumento que o amor pode ajudar-nos a desenvolver uma forma instrumental de racionalidade para se determinar o melhor meio de atingir o objeto de amor. Ele também pode limitar o número de considerações práticas que podem ajudar-nos a atingir os nossos objetivos. Finalmente, o amor pode gerar modos racionais de formação de crenças ao estruturar os parâmetros considerados na percepção e na aten
Erich Selder
2015-01-01
Full Text Available The correspondence between right triangles with rational sides, triplets of rational squares in arithmetic succession and integral solutions of certain quadratic forms is well-known. We show how this correspondence can be extended to the generalized notions of rational θ-triangles, rational squares occurring in arithmetic progressions and concordant forms. In our approach we establish one-to-one mappings to rational points on certain elliptic curves and examine in detail the role of solutions of the θ-congruent number problem and the concordant form problem associated with nontrivial torsion points on the corresponding elliptic curves. This approach allows us to combine and extend some disjoint results obtained by a number of authors, to clarify some statements in the literature and to answer some hitherto open questions.
WAVELET RATIONAL FILTERS AND REGULARITY ANALYSIS
Zheng Kuang; Ming-gen Cui
2000-01-01
In this paper, we choose the trigonometric rational functions as wavelet filters and use them to derive various wavelets. Especially for a certain family of wavelets generated by the rational filters, the better smoothness results than Daubechies' are obtained.
Rationality, mental causation and social sciences
Mladenović Ivan
2009-01-01
Full Text Available The aim of this paper is to investigate the role of mental causation in the context of rational choice theory. The author defends psychological aspect of rational explanation against the challenge of contemporary reductive materialism.
Kakehashi, Yoshiro; Chandra, Sumal
2016-08-01
The ground-state properties of iron-group transition metals from Sc to Cu have been investigated on the basis of the first-principles momentum dependent local ansatz (MLA) theory. Correlation energy gain is found to show large values for Mn and Fe: 0.090 Ry (Mn) and 0.094 Ry (Fe). The Hund-rule coupling energies are found to be 3000 K (Fe), 1400 K (Co), and 300 K (Ni). It is suggested that these values can resolve the inconsistency in magnetic energy between the density functional theory and the first-principles dynamical coherent potential approximation theory at finite temperatures. Charge fluctuations are shown to be suppressed by the intra-orbital correlations and inter-orbital charge-charge correlations, so that they show nearly constant values from V to Fe: 1.57 (V and Cr), 1.52 (Mn), and 1.44 (Fe), which are roughly twice as large as those obtained by the d band model. The amplitudes of local moments are enhanced by the intra-orbital and inter-orbital spin-spin correlations and show large values for Mn and Fe: 2.87 (Mn) and 2.58 (Fe). These values are in good agreement with the experimental values estimated from the effective Bohr magneton number and the inner core photoemission data.
Fioravanti, Davide; Rossi, Marco
2015-01-01
Moving from Beisert-Staudacher equations, the complete set of Asymptotic Bethe Ansatz equations and $S$-matrix for the excitations over the GKP vacuum is found. The resulting model on this new vacuum is an integrable spin chain of length $R=2\\ln s$ ($s=$ spin) with particle rapidities as inhomogeneities, two (purely transmitting) defects and $SU(4)$ (residual R-)symmetry. The non-trivial dynamics of ${\\cal N}=4$ SYM appears in elaborated dressing factors of the 2D two-particle scattering factors, all depending on the 'fundamental' one between two scalar excitations. From scattering factors we determine bound states. In particular, we study the strong coupling limit, in the non-perturbative, perturbative and giant hole regimes. Eventually, from these scattering data we construct the $4D$ pentagon transition amplitudes (perturbative regime). In this manner, we detail the multi-particle contributions (flux tube) to the MHV gluon scattering amplitudes/Wilson loops (OPE or BSV series) and re-sum them to the Thermo...
Kakehashi, Yoshiro; Chandra, Sumal
2017-03-01
The momentum distribution function (MDF) bands of iron-group transition metals from Sc to Cu have been investigated on the basis of the first-principles momentum dependent local ansatz wavefunction method. It is found that the MDF for d electrons show a strong momentum dependence and a large deviation from the Fermi-Dirac distribution function along high-symmetry lines of the first Brillouin zone, while the sp electrons behave as independent electrons. In particular, the deviation in bcc Fe (fcc Ni) is shown to be enhanced by the narrow eg (t2g) bands with flat dispersion in the vicinity of the Fermi level. Mass enhancement factors (MEF) calculated from the jump on the Fermi surface are also shown to be momentum dependent. Large mass enhancements of Mn and Fe are found to be caused by spin fluctuations due to d electrons, while that for Ni is mainly caused by charge fluctuations. Calculated MEF are consistent with electronic specific heat data as well as recent angle resolved photoemission spectroscopy data.
Zen, Andrea; Sorella, Sandro; Guidoni, Leonardo
2013-01-01
Quantum Monte Carlo methods are accurate and promising many body techniques for electronic structure calculations which, in the last years, are encountering a growing interest thanks to their favorable scaling with the system size and their efficient parallelization, particularly suited for the modern high performance computing facilities. The ansatz of the wave function and its variational flexibility are crucial points for both the accurate description of molecular properties and the capabilities of the method to tackle large systems. In this paper, we extensively analyze, using different variational ansatzes, several properties of the water molecule, namely: the total energy, the dipole and quadrupole momenta, the ionization and atomization energies, the equilibrium configuration, and the harmonic and fundamental frequencies of vibration. The investigation mainly focuses on variational Monte Carlo calculations, although several lattice regularized diffusion Monte Carlo calculations are also reported. Throu...
Psychology and the Rationality of Emotion*
Clore, Gerald L.
2011-01-01
Questions addressed by recent psychological research on emotion include questions about how thought shapes emotion and how emotion, in turn, shapes thought. Research on emotion and cognition paints a somewhat different picture than that seen in traditional discussions of passion and reason. This article reviews several aspects of this research, concentrating specifically on three views of rationality: Rationality as Process, Rationality as Product, and Rationality as Outcome.
Kant on empiricism and rationalism
Vanzo, Alberto
2013-01-01
This paper aims to correct some widely held misconceptions concerning Kant's role in the formation of a widespread narrative of early modern philosophy. According to this narrative, which dominated the English-speaking world throughout the twentieth century, the early modern period was characterized by the development of two rival schools: René Descartes's, Baruch Spinoza's, and G. W. Leibniz's rationalism; and John Locke's, George Berkeley's, and David Hume's empiricism. Empiricists and rati...
Davidson on Turing: Rationality Misunderstood?
John-Michael Kuczynski
2005-12-01
Full Text Available Alan Turing advocated a kind of functionalism: A machine M is a thinker provided that it responds in certain ways to certain inputs. Davidson argues that Turing’s functionalism is inconsistent with a cer-tain kind of epistemic externalism, and is therefore false. In Davidson’s view, concepts consist of causal liasons of a certain kind between subject and object. Turing’s machine doesn’t have the right kinds of causal li-asons to its environment. Therefore it doesn’t have concepts. Therefore it doesn’t think. I argue that this reasoning is entirely fallacious. It is true that, in some cases, a causal liason between subject and object is part of one’s concept of that object. Consequently, to grasp certain propositions, one must have certain kids of causal ties to one’s environment. But this means that we must rethink some old views on what rationality is. It does not mean, pace Davidson, that a precondition for being rational is being causally embedded in one’s environment in a certain way. If Tur-ing’s machine isn’t capable of thinking (I leave it open whether it is or is not, that has nothing to do with its lacking certain kinds of causal con-nections to the environment. The larger significance of our discussion is this: rationality consists either in one’s ability to see the bearing of purely existential propositions on one another or rationality is simply not to be understood as the ability see the bearing that propositions have on one another.
Rational approximation of vertical segments
Salazar Celis, Oliver; Cuyt, Annie; Verdonk, Brigitte
2007-08-01
In many applications, observations are prone to imprecise measurements. When constructing a model based on such data, an approximation rather than an interpolation approach is needed. Very often a least squares approximation is used. Here we follow a different approach. A natural way for dealing with uncertainty in the data is by means of an uncertainty interval. We assume that the uncertainty in the independent variables is negligible and that for each observation an uncertainty interval can be given which contains the (unknown) exact value. To approximate such data we look for functions which intersect all uncertainty intervals. In the past this problem has been studied for polynomials, or more generally for functions which are linear in the unknown coefficients. Here we study the problem for a particular class of functions which are nonlinear in the unknown coefficients, namely rational functions. We show how to reduce the problem to a quadratic programming problem with a strictly convex objective function, yielding a unique rational function which intersects all uncertainty intervals and satisfies some additional properties. Compared to rational least squares approximation which reduces to a nonlinear optimization problem where the objective function may have many local minima, this makes the new approach attractive.
Bounded rationality and heterogeneous expectations in macroeconomics
D. Massaro
2012-01-01
This thesis studies the effect of individual bounded rationality on aggregate macroeconomic dynamics. Boundedly rational agents are specified as using simple heuristics in their decision making. An important aspect of the type of bounded rationality described in this thesis is that the population of
Rational Solutions in a Coupled Burgers System
HUANG Ling
2006-01-01
Three types of the rational solutions for a new coupled Burgers system are studied in detail in terms of the reduction and decoupled procedures. The first two types of rational solutions are singular and valid for one type of model parameter c＞0, and another type of rational solutions is nonsingular at any type and valid for another type of model parameter c＜0.
Rational Thinking in School-Based Practice
Clark, Mary Kristen; Flynn, Perry
2011-01-01
Purpose: We reflect on Alan Kamhi's (2011) prologue on balancing certainty and uncertainty as it pertains to school-based practice. Method: In schools, rational thinking depends on effective team processes, much like professional learning communities. We consider the conditions that are required for rational thinking and how rational team dialogue…
A Perspective on Judgment and Choice: Mapping Bounded Rationality
Kahneman, Daniel
2003-01-01
Early studies of intuitive judgment and decision making conducted with the late Amos Tversky are reviewed in the context of two related concepts: an analysis of accessibility, the ease with which thoughts come to mind; a distinction between effortless intuition and deliberate reasoning. Intuitive thoughts, like percepts, are highly accessible.…
Trees, maps, and theorems effective communication for rational minds
Doumont, Jean-Luc
2009-01-01
The book comprises five parts: first, fundamentals, then the written documents, oral presentations, and graphical displays, and finally the application of these ideas to more specific types of document.
Castro-Alvaredo, Olalla; Chen, Yixiong; Doyon, Benjamin; Hoogeveen, Marianne
2014-03-01
We evaluate the exact energy current and scaled cumulant generating function (related to the large-deviation function) in non-equilibrium steady states with energy flow, in any integrable model of relativistic quantum field theory (IQFT) with diagonal scattering. Our derivations are based on various recent results of Bernard and Doyon. The steady states are built by connecting homogeneously two infinite halves of the system thermalized at different temperatures Tl, Tr, and waiting for a long time. We evaluate the current J(Tl, Tr) using the exact QFT density matrix describing these non-equilibrium steady states and using Zamolodchikov’s method of the thermodynamic Bethe ansatz (TBA). The scaled cumulant generating function is obtained from the extended fluctuation relations which hold in integrable models. We verify our formula in particular by showing that the conformal field theory (CFT) result is obtained in the high-temperature limit. We analyze numerically our non-equilibrium steady-state TBA equations for three models: the sinh-Gordon model, the roaming trajectories model, and the sine-Gordon model at a particular reflectionless point. Based on the numerics, we conjecture that an infinite family of non-equilibrium c-functions, associated with the scaled cumulants, can be defined, which we interpret physically. We study the full scaled distribution function and find that it can be described by a set of independent Poisson processes. Finally, we show that the ‘additivity’ property of the current, which is known to hold in CFT and was proposed to hold more generally, does not hold in general IQFT—that is, J(Tl, Tr) is not of the form f(Tl) - f(Tr).
Rational choice theory and suicide.
Lester, D
1988-12-01
The implications of viewing the decision to kill oneself as a rational choice, based on an analysis of the costs and benefits, were explored. Suicide is but one symptom for an individual in distress to choose, and if suicide is prevented, other symptoms may appear in its place. Similarly, a critical question to be asked in suicide prevention is whether restriction of the availability of one method for suicide (such as detoxifying domestic gas or car exhaust) will result in suicidal individuals switching to a different method for suicide or to a different symptom of distress.
Rational SOFC material design: new advances and tools
Meilin Liu
2011-11-01
Full Text Available Solid oxide fuel cells (SOFCs offer great prospects for the most efficient and cost-effective utilization of a wide variety of fuels. However, their commercialization hinges on the rational design of low cost materials with exceptional functionalities. This article highlights some recent progress in probing and mapping surface species and incipient phases relevant to electrode reactions using in situ Raman spectroscopy, synchrotron based x-ray analysis, and multi-scale modeling of charge and mass transport. The combination of in situ characterization and multi-scale modeling is imperative to unraveling the mechanisms of chemical and energy transformation: a vital step for the rational design of next generation SOFC materials.
The relational nature of rational numbers
Bruce Brown
2015-06-01
Full Text Available It is commonly accepted that the knowledge and learning of rational numbers is more complex than that of the whole number field. This complexity includes the broader range of application of rational numbers, the increased level of technical complexity in the mathematical structure and symbol systems of this field and the more complex nature of many conceptual properties of the rational number field. Research on rational number learning is divided as to whether children’s difficulties in learning rational numbers arise only from the increased complexity or also include elements of conceptual change. This article argues for a fundamental conceptual difference between whole and rational numbers. It develops the position that rational numbers are fundamentally relational in nature and that the move from absolute counts to relative comparisons leads to a further level of abstraction in our understanding of number and quantity. The argument is based on a number of qualitative, in-depth research projects with children and adults. These research projects indicated the importance of such a relational understanding in both the learning and teaching of rational numbers, as well as in adult representations of rational numbers on the number line. Acknowledgement of such a conceptual change could have important consequences for the teaching and learning of rational numbers.
Reappraisal of Rational Choice Theory
Katalin Martinas
2013-01-01
Full Text Available The value of rational choice theory (RCT for the social sciences has long been contested. Much time has been spent by economists and critics on the pervasive but elusive concept of rationality. The critiques mainly challenge the basis of the utility theorem. Several articles on the misuse of mathematics in economics have already appeared in the literature. As N. Bouleau stated, “On several occasions, however, one feels that the criticism is that the math is being misused and should be developed in some other direction (e.g. a statistical analysis of the financial tendencies that polarize wealth and income, or a study of the positive feedback mechanisms, etc.. This leaves certain dissatisfaction – on a philosophical level.” The aim of this paper is to present a decision theory, yields intention (logos and valuation (existence. Here we present a new mathematical representation of RCT, which leads to a dynamic economic theory. We discuss the philosophical or meta-economical problems, which are needed for the successful applications of mathematics.
Rational approximations to fluid properties
Kincaid, J. M.
1990-05-01
The purpose of this report is to summarize some results that were presented at the Spring AIChE meeting in Orlando, Florida (20 March 1990). We report on recent attempts to develop a systematic method, based on the technique of rational approximation, for creating mathematical models of real-fluid equations of state and related properties. Equation-of-state models for real fluids are usually created by selecting a function tilde p(T,rho) that contains a set of parameters (gamma sub i); the (gamma sub i) is chosen such that tilde p(T,rho) provides a good fit to the experimental data. (Here p is the pressure, T the temperature and rho is the density). In most cases, a nonlinear least-squares numerical method is used to determine (gamma sub i). There are several drawbacks to this method: one has essentially to guess what tilde p(T,rho) should be; the critical region is seldom fit very well and nonlinear numerical methods are time consuming and sometimes not very stable. The rational approximation approach we describe may eliminate all of these drawbacks. In particular, it lets the data choose the function tilde p(T,rho) and its numerical implementation involves only linear algorithms.
Mapping ‘Social Responsibility’ in Science
Glerup, Cecilie; Horst, Maja
2014-01-01
This article employs the Foucauldian notion of ‘political rationality’ to map discussions and ideals about the responsibility of science toward society. By constructing and analyzing an archive of 263 journal papers, four political rationalities were identified: the Demarcation rationality, which...... aims to exclude the social from the scientific production in order to make it objective and thereby responsible; the Reflexivity rationality, which sees it as science's responsibility to let itself be guided by problems in society in choice of research focus and methods; the Contribution rationality......, which insists that responsible science should live up to public demands for innovation and democracy; and the Integration rationality, which advocates that science should be co-constructed with societal actors in order to be socially responsible. While each rationality is distinct, the article argues...
Geometric Rationalization for Freeform Architecture
Jiang, Caigui
2016-06-20
The emergence of freeform architecture provides interesting geometric challenges with regards to the design and manufacturing of large-scale structures. To design these architectural structures, we have to consider two types of constraints. First, aesthetic constraints are important because the buildings have to be visually impressive. Sec- ond, functional constraints are important for the performance of a building and its e cient construction. This thesis contributes to the area of architectural geometry. Specifically, we are interested in the geometric rationalization of freeform architec- ture with the goal of combining aesthetic and functional constraints and construction requirements. Aesthetic requirements typically come from designers and architects. To obtain visually pleasing structures, they favor smoothness of the building shape, but also smoothness of the visible patterns on the surface. Functional requirements typically come from the engineers involved in the construction process. For exam- ple, covering freeform structures using planar panels is much cheaper than using non-planar ones. Further, constructed buildings have to be stable and should not collapse. In this thesis, we explore the geometric rationalization of freeform archi- tecture using four specific example problems inspired by real life applications. We achieve our results by developing optimization algorithms and a theoretical study of the underlying geometrical structure of the problems. The four example problems are the following: (1) The design of shading and lighting systems which are torsion-free structures with planar beams based on quad meshes. They satisfy the functionality requirements of preventing light from going inside a building as shad- ing systems or reflecting light into a building as lighting systems. (2) The Design of freeform honeycomb structures that are constructed based on hex-dominant meshes with a planar beam mounted along each edge. The beams intersect without
Mehtap Sahingoz
2013-02-01
Full Text Available ABSTRACT Objective: At this study to be aimed to assess status of the knowledge of nurses who working in public and private health institutions in Sivas province use of medication fort he treatment during their illnesses and patients and the attitudes of rational drug application. Matherials and methods: the researc planned to attend 750 nurses but it has been completed with participation of 641 nurses (Reaching rate 85,5%. This is a descriptive and cross-sectional study. in the study data were collected with a questionaire, percentages stated and chi square test was used for analysis. Results: %95,3 of nurses were females and mean age of them 29.21±4.85 years. The rate of contacting a doktor in case of illness is higher in 39.1% of nurses in the 21-30 age group and 48.6% of nurses working in primary care institutions. The level of self-treating is higher in 45.5 % of nurses working less than a year in profession .In the case of illness, 53% of nurses stated that they had left the medicine when signs of disease over. %98.8 of nurses expressed that they know effects of drugs used and 99.1% of them stated they know the side effects of drugs used. The entire group of postgraduate education status stated that they have not received the drug recommended by others. The level of suggesting a drug to someone else fort he same disease is higher in 65.8% of the group 31 years and older and group working over 40 hours per week. It were determined that used in consultation with the physician 65.2% of nurses antibiotics, 87.5% of them weiht loss drug and 82.7% of them contraceptive . 99.5% of the nurses have expressed that they inform to patients about use of their medications. Among the issues that expressed informations took place the application form of drugs (51.0 %and information of need to consult one if deemed one unexpected effect (59.6% . Also has been identified that of nurses acquired inform about drugs from drug book (vademecum (87.5 % and they
Rational Choice and the Framing of Decisions.
1986-05-29
Yellen, J. (1985). Can small deviations from rationality make significant differences to economic equilibria? American Economic Review , 75, 708-720...theory of choice and the preference reversal phenomenon. American Economic Review , 69, 623-38. Hagen, 0. (1979). Towards a positive theory of preferences...Publishing Co. Haltiwanger, J. & Waldman, M. (1985). Rational expectations and the limits of rationality: An analysis of heterogeneity. American Economic Review , 75
Rational Addiction Evidence From Carbonated Soft Drinks
Xiaoou, Liu
2009-01-01
This paper applies the Becker-Murphy (1988) theory of rational addiction to the case of carbonated soft drinks, using a time-varying parameter model and scanner data from 46 U.S. cities. Empirical results provide strong evidence that carbonated soft drinks are rationally addictive, thus opening the door to taxation and regulation. Taking rational addition into account, estimated demand elasticities are much lower than previous estimates using scanner data.
Ansatz for dynamical hierarchies
Rasmussen, S.; Baas, N.A.; Mayer, B.
2001-01-01
Complex, robust functionalities can be generated naturally in at least two ways: by the assembly of structures and by the evolution of structures. This work is concerned with spontaneous formation of structures. We define the notion of dynamical hierarchies in natural systems and show...... the importance of this particular kind of organization for living systems. We then define a framework that enables us to formulate, investigate, and manipulate such dynamical hierarchies. This framework allows us to simultaneously investigate different levels of description together with them interrelationship...... three. Formulating this system as a simple two-dimensional molecular dynamics (MD) lattice gas allows us within one dynamical system to demonstrate the successive emergence of two higher levels (three levels all together) of robust structures with associated properties. Second, we demonstrate how...
The structure of bivariate rational hypergeometric functions
Cattani, Eduardo; Villegas, Fernando Rodriguez
2009-01-01
We describe the structure of all codimension-two lattice configurations $A$ which admit a stable rational $A$-hypergeometric function, that is a rational function $F$ all whose partial derivatives are non zero, and which is a solution of the $A$-hypergeometric system of partial differential equations defined by Gel'fand, Kapranov and Zelevinsky. We show, moreover, that all stable rational $A$-hypergeometric functions may be described by toric residues and apply our results to study the rationality of bivariate series whose coefficients are quotients of factorials of linear forms.
RATIONAL PHARMACOTHERAPY IN TAKOTSUBO CARDIOMYOPATHY
S. Marchev
2012-01-01
Full Text Available Rational pharmacotherapy in Takotsubo cardiomyopathy is based on clinical picture and data of functional and laboratory investigations of concrete patient. In patients with hypotension and moderate-to-severe left ventricle outflow tract obstruction inotropic agents must not to be used because they can worsen the degree of obstruction. In these patients beta blockers can improve hemodynamics by causing resolution of the obstruction. If intraventricular thrombus is detected, anticoagulation for at least 3 months is recommended. The duration of anticoagulant therapy may be modified depending on the extent of cardiac function recovery and thrombus resolution. For patients without thrombus but with severe left ventricular dysfunction, anticoagulation is recommended until the akinesis or dyskinesis has resolved but not more than 3 months.
Dual Rationality and Deliberative Agents
Debenham, John; Sierra, Carles
Human agents deliberate using models based on reason for only a minute proportion of the decisions that they make. In stark contrast, the deliberation of artificial agents is heavily dominated by formal models based on reason such as game theory, decision theory and logic—despite that fact that formal reasoning will not necessarily lead to superior real-world decisions. Further the Nobel Laureate Friedrich Hayek warns us of the ‘fatal conceit’ in controlling deliberative systems using models based on reason as the particular model chosen will then shape the system’s future and either impede, or eventually destroy, the subtle evolutionary processes that are an integral part of human systems and institutions, and are crucial to their evolution and long-term survival. We describe an architecture for artificial agents that is founded on Hayek’s two rationalities and supports the two forms of deliberation used by mankind.
Essays on Rational Portfolio Theory
Nielsen, Simon Ellersgaard
This dissertation is comprised of five research papers written during the period January 2013 -December 2015. Their abstracts are: The Fundamental Theorem of Derivative Trading. When estimated volatilities are not inperfect agreement with reality, delta hedged option portfolios will incur a non...... is proportional to volatility, we can deriveclosed form expressions for the optimal portfolio using the formalism of Hamilton-JacobixiiiBellman. We also perform an empirical investigation, which strongly suggests that there inreality are no tangible welfare gains associated with hedging stochastic volatility...... in a bondstockeconomy. Stochastic Volatility for Utility Maximisers Part II. Using martingale methods we derivebequest optimising portfolio weights for a rational investor who trades in a bond-stockderivativeeconomy characterised by a generic stochastic volatility model. For illustrativepurposes we then proceed...
Kalberg, Stephen
1980-01-01
Explores rationality in Max Weber's works and identifies four types of rationality which play major roles in his writing--practical, theoretical, substantive, and formal. Implications for society and education are discussed. (DB)
Chin, Alex W; Prior, Javier; Huelga, Susana F; Plenio, Martin B
2011-10-14
The sub-Ohmic spin-boson model possesses a quantum phase transition at zero temperature between a localized and a delocalized phase, whose properties have so far only been extracted by numerical approaches. Here we present an extension of the Silbey-Harris variational polaron ansatz which allows us to develop an analytical theory which correctly describes a continuous transition with mean-field exponents for 0
Daryai-Hansen, Petra; Barfod, Sonja; Schwarz, Lena
2015-01-01
. The German language profile is presented from three perspectives: a language policy perspective, on which the language profile was developed; from the perspective of the teachers who design the language profile inspired by the CLIL approach; finally, from the students’ perspective. How do students experience...... Perspektive der Lehrkräfte, die inspiriert durch den CLIL-Ansatz das Sprachprofil didaktisch gestalten. Abschließend fokussieren wir auf die Perspektive der Studierenden: Wie erleben sie ihren Lernprozess? Welche Resultate erzielen sie ihrer Ansicht nach?...
Daryai-Hansen, Petra; Barfod, Sonja; Schwarz, Lena
2015-01-01
. The German language profile is presented from three perspectives: a language policy perspective, on which the language profile was developed; from the perspective of the teachers who design the language profile inspired by the CLIL approach; finally, from the students’ perspective. How do students experience...... Perspektive der Lehrkräfte, die inspiriert durch den CLIL-Ansatz das Sprachprofil didaktisch gestalten. Abschließend fokussieren wir auf die Perspektive der Studierenden: Wie erleben sie ihren Lernprozess? Welche Resultate erzielen sie ihrer Ansicht nach?...
Neural representations of magnitude for natural and rational numbers.
DeWolf, Melissa; Chiang, Jeffrey N; Bassok, Miriam; Holyoak, Keith J; Monti, Martin M
2016-11-01
Humans have developed multiple symbolic representations for numbers, including natural numbers (positive integers) as well as rational numbers (both fractions and decimals). Despite a considerable body of behavioral and neuroimaging research, it is currently unknown whether different notations map onto a single, fully abstract, magnitude code, or whether separate representations exist for specific number types (e.g., natural versus rational) or number representations (e.g., base-10 versus fractions). We address this question by comparing brain metabolic response during a magnitude comparison task involving (on different trials) integers, decimals, and fractions. Univariate and multivariate analyses revealed that the strength and pattern of activation for fractions differed systematically, within the intraparietal sulcus, from that of both decimals and integers, while the latter two number representations appeared virtually indistinguishable. These results demonstrate that the two major notations formats for rational numbers, fractions and decimals, evoke distinct neural representations of magnitude, with decimals representations being more closely linked to those of integers than to those of magnitude-equivalent fractions. Our findings thus suggest that number representation (base-10 versus fractions) is an important organizational principle for the neural substrate underlying mathematical cognition.
The Rationality of Alcoholics Anonymous and the Spirituality of Rational Emotive Behavior Therapy.
Velten, Emmett
1996-01-01
Argues that Alcoholics Anonymous (AA) and Rational Emotive Behavior Therapy (REBT) share important rational objectives and numerous cognitive-behavioral methods. Both emphasize a philosophical shift as a principal ingredient for change. Provides definitions of rationality and spirituality and explains how REBT and smart recovery are spiritual…
The Rationality of Alcoholics Anonymous and the Spirituality of Rational Emotive Behavior Therapy.
Velten, Emmett
1996-01-01
Argues that Alcoholics Anonymous (AA) and Rational Emotive Behavior Therapy (REBT) share important rational objectives and numerous cognitive-behavioral methods. Both emphasize a philosophical shift as a principal ingredient for change. Provides definitions of rationality and spirituality and explains how REBT and smart recovery are spiritual…
Rationality and Belief in Learning Mathematics
Brown, Tony
2016-01-01
This paper argues that rationality and belief are mutually formative dimensions of school mathematics, where each term is more politically embedded than often depicted in the field of mathematics education research. School mathematics then presents not so much rational mathematical thought distorted by irrational beliefs but rather a particular…
Linear parameter estimation of rational biokinetic functions
Doeswijk, T.G.; Keesman, K.J.
2009-01-01
For rational biokinetic functions such as the Michaelis-Menten equation, in general, a nonlinear least-squares method is a good estimator. However, a major drawback of a nonlinear least-squares estimator is that it can end up in a local minimum. Rearranging and linearizing rational biokinetic
曹俊鹏; 侯伯宇; 岳瑞宏
2001-01-01
We propose the eigenstates and eigenvalues of Hamiltonians of the rational SU(N) Gaudin model based onthe quasi-classical limit of the SU ( N) chain under the periodic boundary condition. Using the quantum inversescattering method, we also obtain the eigenvalues of the generation function of the rational SU ( N) Gaudin model.
Empirical Rationality in the Stock Market
Raahauge, Peter
2003-01-01
for this empiricalrationality on part of the agent, the resulting empirical model assignslikelihood to the data actually observed, unlike in the unmodified rational expectationscase. A Lucas (1978)-type asset pricing model which incorporatesempirical rationality is constructed and estimated using U.S. stock data...
Counting rational points on cubic curves
HEATH-BROWN; Roger; TESTA; Damiano
2010-01-01
We prove upper bounds for the number of rational points on non-singular cubic curves defined over the rationals.The bounds are uniform in the curve and involve the rank of the corresponding Jacobian.The method used in the proof is a combination of the "determinant method" with an m-descent on the curve.
Is facet analysis based on rationalism?
Hjørland, Birger
2014-01-01
, rationalism, historicism/hermeneutics, or pragmatism/critical theory (of which only the last position fully acknowledges the non-neutrality of knowledge organisation). Ranganathan – and the whole facet-analytic school – has formerly been exemplified as a rather clear example of rationalism. Some have objected...
Are Grade Expectations Rational? A Classroom Experiment
Hossain, Belayet; Tsigaris, Panagiotis
2015-01-01
This study examines students' expectations about their final grade. An attempt is made to determine whether students form expectations rationally. Expectations in economics, rational or otherwise, carry valuable information and have important implications in terms of both teaching effectiveness and the role of grades as an incentive structure for…
The Problem of Rational Moral Enlistment
Tillson, John
2017-01-01
How can one bring children to recognize the requirements of morality without resorting only to non-rational means of persuasion (i.e. what rational ground can be offered to children for their moral enlistment)? Michael Hand has recently defended a foundationalist approach to answering this question and John White has responded by (a) criticizing…
Neurophysiology and Rationality in Political Thinking.
Peterson, Steven A.
Research both in cognitive psychology and psychobiology suggests that political behavior is often less rational than individuals believe it to be. Information processing, memory, and decision making are interlinked processes. Studies in cognitive psychology reveal that even though decision making requires rationality, individuals often adopt…
Rationality and Belief in Learning Mathematics
Brown, Tony
2016-01-01
This paper argues that rationality and belief are mutually formative dimensions of school mathematics, where each term is more politically embedded than often depicted in the field of mathematics education research. School mathematics then presents not so much rational mathematical thought distorted by irrational beliefs but rather a particular…
Rationality : a social-epistemology perspective
Wenmackers, Sylvia; Vanpoucke, Danny E. P.; Douven, Igor
2014-01-01
Both in philosophy and in psychology, human rationality has traditionally been studied from an “individualistic” perspective. Recently, social epistemologists have drawn attention to the fact that epistemic interactions among agents also give rise to important questions concerning rationality. In pr
On the Beilinson-Hodge conjecture for $H^2$ and rational varieties
Chatzistamatiou, Andre
2011-01-01
The Beilinson-Hodge conjecture asserts the surjectivity of the cycle map $$H^n_M(X,\\Q(n)) \\to {\\rm Hom}_{MHS}(\\Q(-n),H^n(X,\\Q))$$ for all positive integers $n$ and every smooth complex algebraic variety $X$. For $n=2$, we prove the conjecture if $X$ is rational.
Generalized NLS Hierarchies from Rational $W$ Algebras
Toppan, F
1994-01-01
Finite rational $\\cw$ algebras are very natural structures appearing in coset constructions when a Kac-Moody subalgebra is factored out. In this letter we address the problem of relating these algebras to integrable hierarchies of equations, by showing how to associate to a rational $\\cw$ algebra its corresponding hierarchy. We work out two examples: the $sl(2)/U(1)$ coset, leading to the Non-Linear Schr\\"{o}dinger hierarchy, and the $U(1)$ coset of the Polyakov-Bershadsky $\\cw$ algebra, leading to a $3$-field representation of the KP hierarchy already encountered in the literature. In such examples a rational algebra appears as algebra of constraints when reducing a KP hierarchy to a finite field representation. This fact arises the natural question whether rational algebras are always associated to such reductions and whether a classification of rational algebras can lead to a classification of the integrable hierarchies.
Rationality, institutions and environmental policy
Vatn, Arild [Department of Economics and Resource Management, Norwegian University of Life Sciences, Aas (Norway)
2005-11-01
This paper is about how institutions determine choices and the importance of this for environmental policy. The model of individual rational choice from neoclassical economics is compared with the model of socially determined behavior. While in the first case, institutions are either exempted from or understood as mere economizing constraints on behavior, the latter perspective views institutions as basic structures necessary also to enable people to act. The paper develops a way to integrate the individualistic model into the wider perspective of social constructivism by viewing it as a special form of such construction. On the basis of this synthesis three issues with relevance for environmental economics are discussed. First, the role of institutional factors in the process of preference formation is emphasized. Next, the role of institutions for the choice of desired states of the environment is analyzed. Finally, the effect of various policy instruments to motivate people to produce these states is discussed. It is concluded that the core policy issue is to determine which institutional frameworks are most reasonable to apply to which kind of problem. Issues, which from the perspective of neoclassical economics are pure technical, become serious value questions if understood from an institutional perspective.
[RATIONAL ASPECTS OF BACTERIOPHAGES USE].
Vakarina, A A; Kataeva, L V; Karpukhina, N F
2015-01-01
Analysis of existing aspects of bacteriophage use and study features of their lytic activity by using various techniques. Effect of monophages and associated bacteriophages (staphylococci, piopolyvalent and piocombined, intestiphage, pneumonia klebsiella and polyvalent klebsiella produced by "Microgen") was studied with 380 strains of Staphylococcus aureus and 279 cultures of Klebsiella pneumoniae in liquid and solid nutrient media. From patients with intestinal disorder, sensitivity was analyzed to 184 strains of Salmonella genus bacteria 18 serological variants to salmonella bacteriophages, 137 strains of Escherichia coli (lactose-negative, hemolytic), as well as some members of OKA groups (21 serovars) to coli-proteic and piopolyvalent bacteriophages. Lytic ability of the piobacteriophage against Klebsiella and Proteus genus bacteria was determined. Staphylococcus aureus was sensitive to staphylococcus bacteriophage in 71.6% of cases and to piobacteriophage--in 86.15% of cases. A 100% lytic ability of salmonella bacteriophage against Salmonella spp. was established. Sensitivity of E. coli of various serogroups to coli-proteic and piobacteriophage was 66 - 100%. Klebsiella, Proteus genus bacteria were sensitive to piobacteriophage in only 35% and 43.15% of cases, respectively. A more rational use of bacteriophages is necessary: development of a technique, evaluation of sensitivity of bacteria to bacteriophage, introduction of corrections into their production (expansion of bacteriophage spectra, determination and indication of their concentration in accompanying documents).
Silvia Hartung
2015-11-01
Full Text Available Der Einsatz von E-Portfolios in Bildungsinstitutionen liegt klar im Trend. Damit die daran geknüpften Erwartungen auch erfüllt werden, ist neben einer technischen auch zwingend eine inhaltliche Einführung Lernender in die Ziele und Hintergründe der E-Portfolio-Arbeit notwendig. Der vorliegende Beitrag gibt einen Einblick in die (Weiter-Entwicklung des Online-Kurses «E-Portfolios: Einführung in die Dokumentation und Selbstbeurteilung von Lernprozessen». Besonderes Augenmerk legen wir in diesem Beitrag auf das «didaktische Herzstück» der Veranstaltung: den Rollenspiel-Ansatz. Wie gut hat diese Idee funktioniert? Eignet sich der Rollenspiel-Ansatz für die Einführung in die E-Portfolio-Arbeit? Wir beschreiben, wie der Online-Kurs entstanden ist und erläutern sein didaktisches Design. Daraufhin schildern wir unsere Erfahrungen mit der Pilotdurchführung und legen Ablauf und Ergebnisse der Evaluation dar. Schliesslich beschreiben wir die Anpassungen, die aufgrund der Evaluationsergebnisse am Kurskonzept vorgenommen wurden.
Zen, Andrea; Luo, Ye; Sorella, Sandro; Guidoni, Leonardo
2013-10-08
Quantum Monte Carlo methods are accurate and promising many body techniques for electronic structure calculations which, in the last years, are encountering a growing interest thanks to their favorable scaling with the system size and their efficient parallelization, particularly suited for the modern high performance computing facilities. The ansatz of the wave function and its variational flexibility are crucial points for both the accurate description of molecular properties and the capabilities of the method to tackle large systems. In this paper, we extensively analyze, using different variational ansatzes, several properties of the water molecule, namely, the total energy, the dipole and quadrupole momenta, the ionization and atomization energies, the equilibrium configuration, and the harmonic and fundamental frequencies of vibration. The investigation mainly focuses on variational Monte Carlo calculations, although several lattice regularized diffusion Monte Carlo calculations are also reported. Through a systematic study, we provide a useful guide to the choice of the wave function, the pseudopotential, and the basis set for QMC calculations. We also introduce a new method for the computation of forces with finite variance on open systems and a new strategy for the definition of the atomic orbitals involved in the Jastrow-Antisymmetrised Geminal power wave function, in order to drastically reduce the number of variational parameters. This scheme significantly improves the efficiency of QMC energy minimization in case of large basis sets.
Senior doctors' opinions of rational suicide.
Ginn, Stephen; Price, Annabel; Rayner, Lauren; Owen, Gareth S; Hayes, Richard D; Hotopf, Matthew; Lee, William
2011-12-01
The attitudes of medical professionals towards physician assisted dying have been widely discussed. Less explored is the level of agreement among physicians on the possibility of 'rational suicide'-a considered suicide act made by a sound mind and a precondition of assisted dying legislation. To assess attitudes towards rational suicide in a representative sample of senior doctors in England and Wales. A postal survey was conducted of 1000 consultants and general practitioners randomly selected from a commercially available database. The main outcome of interest was level of agreement with a statement about rational suicide. The corrected participation rate was 50%; 363 questionnaires were analysed. Overall 72% of doctors agreed with the possibility of rational suicide, 17% disagreed, and 11% were neutral. Doctors who identified themselves as being more religious were more likely to disagree. Some doctors who disagreed with legalisation of physician assisted suicide nevertheless agreed with the concept of rational suicide. Most senior doctors in England and Wales feel that rational suicide is possible. There was no association with specialty. Strong religious belief was associated with disagreement, although levels of agreement were still high in people reporting the strongest religious belief. Most doctors who were opposed to physician assisted suicide believed that rational suicide was possible, suggesting that some medical opposition is best explained by other factors such as concerns of assessment and protection of vulnerable patients.
Rational Verification in Iterated Electric Boolean Games
Youssouf Oualhadj
2016-07-01
Full Text Available Electric boolean games are compact representations of games where the players have qualitative objectives described by LTL formulae and have limited resources. We study the complexity of several decision problems related to the analysis of rationality in electric boolean games with LTL objectives. In particular, we report that the problem of deciding whether a profile is a Nash equilibrium in an iterated electric boolean game is no harder than in iterated boolean games without resource bounds. We show that it is a PSPACE-complete problem. As a corollary, we obtain that both rational elimination and rational construction of Nash equilibria by a supervising authority are PSPACE-complete problems.
COMPUTATION OF VECTOR VALUED BLENDING RATIONAL INTERPOLANTS
檀结庆
2003-01-01
As we know, Newton's interpolation polynomial is based on divided differ-ences which can be calculated recursively by the divided-difference scheme while Thiele'sinterpolating continued fractions are geared towards determining a rational functionwhich can also be calculated recursively by so-called inverse differences. In this paper,both Newton's interpolation polynomial and Thiele's interpolating continued fractionsare incorporated to yield a kind of bivariate vector valued blending rational interpolantsby means of the Samelson inverse. Blending differences are introduced to calculate theblending rational interpolants recursively, algorithm and matrix-valued case are dis-cussed and a numerical example is given to illustrate the efficiency of the algorithm.
Perturbing rational harmonic functions by poles
Sète, Olivier; Liesen, Jörg
2014-01-01
We study how adding certain poles to rational harmonic functions of the form $R(z)-\\bar{z}$, with $R(z)$ rational and of degree $d\\geq 2$, affects the number of zeros of the resulting functions. Our results are motivated by and generalize a construction of Rhie derived in the context of gravitational microlensing (ArXiv e-print 2003). Of particular interest is the construction and the behavior of rational functions $R(z)$ that are {\\em extremal} in the sense that $R(z)-\\bar{z}$ has the maximal possible number of $5(d-1)$ zeros.
Positivity Preserving Interpolation Using Rational Bicubic Spline
Samsul Ariffin Abdul Karim
2015-01-01
Full Text Available This paper discusses the positivity preserving interpolation for positive surfaces data by extending the C1 rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters. The sufficient conditions for the positivity are derived on every four boundary curves network on the rectangular patch. Numerical comparison with existing schemes also has been done in detail. Based on Root Mean Square Error (RMSE, our partially blended rational bicubic spline is on a par with the established methods.
Bounded rational choice behaviour: applications in transport
Jensen, Anders Fjendbo
2016-01-01
rational choice behaviour focuses on how the latter approach can be seriously taken into account within transport applications. As the editors discuss in the introduction, a true optimal choice can only be made if an individual has full and perfect information of all relevant attributes in his/her choice......Even though the theory of rational behaviour has been challenged for almost 100 years, the dominant approach within the field of transport has been based upon the assumptions of neoclassical economics that we live in a world of rational decision makers who always have perfect knowledge and aim...
A systematic investigation of the link between rational number processing and algebra ability.
Hurst, Michelle; Cordes, Sara
2017-02-27
Recent research suggests that fraction understanding is predictive of algebra ability; however, the relative contributions of various aspects of rational number knowledge are unclear. Furthermore, whether this relationship is notation-dependent or rather relies upon a general understanding of rational numbers (independent of notation) is an open question. In this study, college students completed a rational number magnitude task, procedural arithmetic tasks in fraction and decimal notation, and an algebra assessment. Using these tasks, we measured three different aspects of rational number ability in both fraction and decimal notation: (1) acuity of underlying magnitude representations, (2) fluency with which symbols are mapped to the underlying magnitudes, and (3) fluency with arithmetic procedures. Analyses reveal that when looking at the measures of magnitude understanding, the relationship between adults' rational number magnitude performance and algebra ability is dependent upon notation. However, once performance on arithmetic measures is included in the relationship, individual measures of magnitude understanding are no longer unique predictors of algebra performance. Furthermore, when including all measures simultaneously, results revealed that arithmetic fluency in both fraction and decimal notation each uniquely predicted algebra ability. Findings are the first to demonstrate a relationship between rational number understanding and algebra ability in adults while providing a clearer picture of the nature of this relationship. © 2017 The British Psychological Society.
Holomorphic Cartan geometries and rational curves
Biswas, Indranil
2010-01-01
We prove that any compact K\\"ahler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact K\\"ahler manifold.
Beyond rationality : Counterfactual thinking and behavior regulation
Epstude, Kai; Roese, Neal J.
2007-01-01
Counterfactual thinking may be described as disciplined realistic, and rational, but we move a step further to describe a theoretical perspective centering on behavior regulation. According to this perspective, counterfactual thinking primarily centers on coordination of ongoing behavior. In short,
Popper, Rationality and the Possibility of Social Science
Danny Frederick
2013-02-01
Full Text Available Social science employs teleological explanations which depend upon the rationality principle, according to which people exhibit instrumental rationality. Popper points out that people also exhibit critical rationality, the tendency to stand back from, and to question or criticise, their views. I explain how our critical rationality impugns the explanatory value of the rationality principle and thereby threatens the very possibility of social science. I discuss the relationship between instrumental and critical rationality and show how we can reconcile our critical rationality with the possibility of social science if we invoke Popper’s conception of limited rationality and his indeterminism.
Is crime in Turkey economically rational?
2014-01-01
The study investigates whether crime in Turkey is governed by economic rationality. An economic model of rational behaviour claims that the propensity to commit criminal activities is negatively related to risk of deterrence. Potential presence of higher risk profiles for certain population segments is investigated. Panel data aggregated to sub-regional levels and observed annually for the years 2008 to 2010 are applied. Controls for endogeneity among criminal activity level and risk of deter...
Multinode rational operators for univariate interpolation
Dell'Accio, Francesco; Di Tommaso, Filomena; Hormann, Kai
2016-10-01
Birkhoff (or lacunary) interpolation is an extension of polynomial interpolation that appears when observation gives irregular information about function and its derivatives. A Birkhoff interpolation problem is not always solvable even in the appropriate polynomial or rational space. In this talk we split up the initial problem in subproblems having a unique polynomial solution and use multinode rational basis functions in order to obtain a global interpolant.
2-rational Cubic Spline Involving Tension Parameters
M Shrivastava; J Joseph
2000-08-01
In the present paper, 1-piecewise rational cubic spline function involving tension parameters is considered which produces a monotonic interpolant to a given monotonic data set. It is observed that under certain conditions the interpolant preserves the convexity property of the data set. The existence and uniqueness of a 2-rational cubic spline interpolant are established. The error analysis of the spline interpolant is also given.
Is crime in Turkey economically rational?
Lauridsen, Jørgen T.; Zeren, Fatma; Ari, Ayse
2014-01-01
The study investigates whether crime in Turkey is governed by economic rationality. An economic model of rational behaviour claims that the propensity to commit criminal activities is negatively related to risk of deterrence. Potential presence of higher risk profiles for certain population segments is investigated. Panel data aggregated to sub-regional levels and observed annually for the years 2008 to 2010 are applied. Controls for endogeneity among criminal activity level and risk of deter...
Rational emotive behaviour therapy: distinctive features
Dryden, Windy
2008-01-01
Rational emotive behaviour therapy (REBT) encourages the client to focus on their emotional problems in order to understand, challenge and change the irrational beliefs that underpin these problems. REBT can help clients to strengthen conviction in their alternative rational beliefs by acting in ways that are consistent with them and thus encourage a healthier outlook.\\ud \\ud This accessible and direct guide introduces the reader to REBT while indicating how it is different from other approac...
Artificial intelligence techniques for rational decision making
Marwala, Tshilidzi
2014-01-01
Develops insights into solving complex problems in engineering, biomedical sciences, social science and economics based on artificial intelligence. Some of the problems studied are in interstate conflict, credit scoring, breast cancer diagnosis, condition monitoring, wine testing, image processing and optical character recognition. The author discusses and applies the concept of flexibly-bounded rationality which prescribes that the bounds in Nobel Laureate Herbert Simon's bounded rationality theory are flexible due to advanced signal processing techniques, Moore's Law and artificial intellig
The neural basis of bounded rational behavior
Coricelli, Giorgio; Nagel, Rosemarie
2010-01-01
Bounded rational behaviour is commonly observed in experimental games and in real life situations. Neuroeconomics can help to understand the mental processing underlying bounded rationality and out-of-equilibrium behaviour. Here we report results from recent studies on the neural basis of limited steps of reasoning in a competitive setting —the beauty contest game. We use functional magnetic resonance imaging (fMRI) to study the neural correlates of human mental processes in strategic games. ...
Integral Models of Extremal Rational Elliptic Surfaces
Jarvis, Tyler J; Ricks, Jeremy R
2009-01-01
Miranda and Persson classified all extremal rational elliptic surfaces in characteristic zero. We show that each surface in Miranda and Persson's classification has an integral model with good reduction everywhere (except for those of type X_{11}(j), which is an exceptional case), and that every extremal rational elliptic surface over an algebraically closed field of characteristic p > 0 can be obtained by reducing one of these integral models mod p.
RATIONAL SOLUTIONS FOR DEVELOPMENT OF TELECOMMUNICATIONS NETWORKS
Sokolov, A.; Sokolov, N.
2014-01-01
The number of complicated problems has to be solved during modernization of the telecommunication networks. Some problems can be defined as a search for rational solutions instead of the traditional approach that consists in finding the cost function optimum. This new approach minimizes the risk that inevitably arises when elaborating a long term plan for the telecommunication networks development. The article discusses the proposed methodological approach of finding rational solutions. Probl...
Rational emotive behavior therapy: disputing irrational philosophies.
Sacks, Susan Bendersky
2004-05-01
This article provides an overview of the concepts and techniques of rational emotive behavior therapy to distinguish it from cognitive-behavioral therapy. Rational emotive behavior therapy proposes that psychological disturbance is largely created and maintained through irrational philosophies consisting of internal absolutistic demands. This therapy strives to produce sustained and profound cognitive, emotive, and behavioral change through active, vigorous disputation of underlying irrational philosophies.
Simple Equational Specifications of Rational Arithmetic
Lawrence S. Moss
2001-12-01
Full Text Available We exhibit an initial specification of the rational numbers equipped with addition, subtraction, multiplication, greatest integer function, and absolute value. Our specification uses only the sort of rational numbers. It uses one hidden function; that function is unary. But it does not use an error constant, or extra (hidden sorts, or conditional equations. All of our work is elementary and self-contained.
Municipal management cooperation : managing multiple rationalities
Holmberg, Leif
2010-01-01
Multiple rationality organizations are characterized by the simultaneously incorporation of different kinds of logic and control systems. They have to provide not only for efficiency but also to comply with e.g. ideal of fairness, sportsmanship, equal rights, and aesthetic values. Elite sport clubs, theatres, and several municipality activities are examples of organizations that have to cope with multiple rationalities. These organizations are often governed through a combination of politica...
Intergroup conflict and rational decision making.
Vicente Martínez-Tur
Full Text Available The literature has been relatively silent about post-conflict processes. However, understanding the way humans deal with post-conflict situations is a challenge in our societies. With this in mind, we focus the present study on the rationality of cooperative decision making after an intergroup conflict, i.e., the extent to which groups take advantage of post-conflict situations to obtain benefits from collaborating with the other group involved in the conflict. Based on dual-process theories of thinking and affect heuristic, we propose that intergroup conflict hinders the rationality of cooperative decision making. We also hypothesize that this rationality improves when groups are involved in an in-group deliberative discussion. Results of a laboratory experiment support the idea that intergroup conflict -associated with indicators of the activation of negative feelings (negative affect state and heart rate- has a negative effect on the aforementioned rationality over time and on both group and individual decision making. Although intergroup conflict leads to sub-optimal decision making, rationality improves when groups and individuals subjected to intergroup conflict make decisions after an in-group deliberative discussion. Additionally, the increased rationality of the group decision making after the deliberative discussion is transferred to subsequent individual decision making.
Intergroup conflict and rational decision making.
Martínez-Tur, Vicente; Peñarroja, Vicente; Serrano, Miguel A; Hidalgo, Vanesa; Moliner, Carolina; Salvador, Alicia; Alacreu-Crespo, Adrián; Gracia, Esther; Molina, Agustín
2014-01-01
The literature has been relatively silent about post-conflict processes. However, understanding the way humans deal with post-conflict situations is a challenge in our societies. With this in mind, we focus the present study on the rationality of cooperative decision making after an intergroup conflict, i.e., the extent to which groups take advantage of post-conflict situations to obtain benefits from collaborating with the other group involved in the conflict. Based on dual-process theories of thinking and affect heuristic, we propose that intergroup conflict hinders the rationality of cooperative decision making. We also hypothesize that this rationality improves when groups are involved in an in-group deliberative discussion. Results of a laboratory experiment support the idea that intergroup conflict -associated with indicators of the activation of negative feelings (negative affect state and heart rate)- has a negative effect on the aforementioned rationality over time and on both group and individual decision making. Although intergroup conflict leads to sub-optimal decision making, rationality improves when groups and individuals subjected to intergroup conflict make decisions after an in-group deliberative discussion. Additionally, the increased rationality of the group decision making after the deliberative discussion is transferred to subsequent individual decision making.
Proposed standby gasoline rationing plan: public comments
1978-12-01
Under the proposed plan, DOE would allocate ration rights (rights to purchase gasoline) to owners of registered vehicles. All vehicles in a given class would receive the same entitlement. Essential services would receive supplemental allotments of ration rights as pririty firms. Once every 3 months, ration checks would be mailed out to all vehicle registrants, allotting them a certain amount of ration rights. These checks would then be cashed at Coupon Issuance Points, where the bearer would receive ration coupons to be used at gasoline stations. Large users of gasoline could deposit their allotment checks in accounts at ration banks. Coupons or checks would be freely exchangeable in a white market. A certain percentage of the gasoline supply would be set aside in reserve for use in national emergencies. When the plan was published in the Federal Register, public comments were requested. DOE also solicited comments from private citizens, public interest groups, business and industry, state and local governments. A total of 1126 responses were reveived and these are analyzed in this paper. The second part of the report describes how the comments were classified, and gives a statistical breakdown of the major responses. The last section is a discussion and analysis of theissue raised by commenting agencies, firms, associations, and individuals. (MCW)
Kundu, Anjan
2016-12-01
Integrable quantum field models are known to exist mostly in one space-dimension. Exploiting the concept of multi-time in integrable systems and a Lax matrix of higher scaling order, we construct a novel quantum field model in quasi-two dimensions involving interacting fields. The Yang-Baxter integrability is proved for the model by finding a new kind of commutation rule for its basic fields, representing nonstandard scalar fields along the transverse direction. In spite of a close link with the quantum Landau-Lifshitz equation, the present model differs widely from it, in its content and the result obtained. Using further the algebraic Bethe ansatz we solve exactly the eigenvalue problem of this quantum field model for all its higher conserved operators. The idea presented here should instigate the construction of a novel class of integrable field and lattice models and exploration of a new type of underlying algebras.
Kundu, Anjan, E-mail: anjan.kundu@saha.ac.in
2016-12-15
Integrable quantum field models are known to exist mostly in one space-dimension. Exploiting the concept of multi-time in integrable systems and a Lax matrix of higher scaling order, we construct a novel quantum field model in quasi-two dimensions involving interacting fields. The Yang–Baxter integrability is proved for the model by finding a new kind of commutation rule for its basic fields, representing nonstandard scalar fields along the transverse direction. In spite of a close link with the quantum Landau–Lifshitz equation, the present model differs widely from it, in its content and the result obtained. Using further the algebraic Bethe ansatz we solve exactly the eigenvalue problem of this quantum field model for all its higher conserved operators. The idea presented here should instigate the construction of a novel class of integrable field and lattice models and exploration of a new type of underlying algebras.
A discussion of theoretical and practical rationality
Wahlstroem, B. [Technical Research Centre of Finland, Espoo (Finland). VTT Automation
1999-12-01
Theoretical rationality as defined in Expected Utility Theory and amended with other considerations gives a good basis for decision making. One should however always keep in mind that practical rationality often is far more complicated. People use their everyday experience when placed before new problems and this may lead to apparently irrational choices which on a closer scrutiny may be completely rational. Theories in human decision making unfortunately becomes untestable, firstly because a theory taking all considerations into account would be to complex to be practical and secondly because the data needed to test the theory cannot be collected. The benefit of EUT is that it is simple and straightforward as compared with competing theories. In the natural sciences rationality is often seen simply as a problem of optimisation. This view is practical, but it has to include also psychological and sociological considerations. The apparent controversy between natural and behavioural sciences could at least in principle be resolved by a better understanding of the complexity of human rationality. The human mind does not work in isolation, but it is adapted to a social community and a continuously changing environment. Understanding all components of human rationality is a challenge which cannot be solved on a short term basis. An important part of human rationality is connected to the intricate balance between individual and societal utility. The human mind has over thousands of years learnt to resolve that balance, but in the modern society there are decisions which may not be solvable with an intuitive approach and a strategy of trial and error. For these decisions more solid theories of rationality will be needed. EUT can in spite of its dismerits be used as the backbone for such a theory, but it has to be extended with better explanations of both individual and social rationality. If this understanding of the practical aspects of human rationality can be reached
On computing closed forms for summations. [polynomials and rational functions
Moenck, R.
1977-01-01
The problem of finding closed forms for a summation involving polynomials and rational functions is considered. A method closely related to Hermite's method for integration of rational functions derived. The method expresses the sum of a rational function as a rational function part and a transcendental part involving derivatives of the gamma function.
Using Rational-Emotive Therapy to Prevent Classroom Problems.
Webber, Jo; Coleman, Maggie
1988-01-01
Teachers are encouraged to utilize rational-emotive therapy to prevent and deal with classroom behavior problems. Rational-emotive therapy is defined, the ABC model of rational thinking briefly explained, types of irrational thinking identified, and suggestions for becoming a rational thinker are offered. Classroom examples are given. (DB)
Emotions and Decisions: Beyond Conceptual Vagueness and the Rationality Muddle.
Volz, Kirsten G; Hertwig, Ralph
2016-01-01
For centuries, decision scholars paid little attention to emotions: Decisions were modeled in normative and descriptive frameworks with little regard for affective processes. Recently, however, an "emotions revolution" has taken place, particularly in the neuroscientific study of decision making, putting emotional processes on an equal footing with cognitive ones. Yet disappointingly little theoretical progress has been made. The concepts and processes discussed often remain vague, and conclusions about the implications of emotions for rationality are contradictory and muddled. We discuss three complementary ways to move the neuroscientific study of emotion and decision making from agenda setting to theory building. The first is to use reverse inference as a hypothesis-discovery rather than a hypothesis-testing tool, unless its utility can be systematically quantified (e.g., through meta-analysis). The second is to capitalize on the conceptual inventory advanced by the behavioral science of emotions, testing those concepts and unveiling the underlying processes. The third is to model the interplay between emotions and decisions, harnessing existing cognitive frameworks of decision making and mapping emotions onto the postulated computational processes. To conclude, emotions (like cognitive strategies) are not rational or irrational per se: How (un)reasonable their influence is depends on their fit with the environment.
Economic Rationality in the Ultimatum Game
Jan Fiala
2017-03-01
Full Text Available Rigorous application of experimental methodology to the interdisciplinary research of economic decision making is the main purpose of our work. In this paper, we introduce the main decisionmaking theories and outline economic rationality. We explain why we find it useful to discriminate between the “irrational” and “non-rational” components of decision making. We offer an oriented interdisciplinary point of view on economic rationality. In the applied section, we describe the main features of the Ultimatum game and summarize the up-to-date theories explaining the non-rational course of the game. We discuss in detail the reported relations between the nominal value of the stakes and the distribution of the offers and responses. We introduce the blinded, randomized Ultimatum game experiment that we conducted in our laboratory. We stress the importance of anonymity of the study subjects and the difference in salience of a factual reward against a hypothetical reward. We present the results of our study, showing that a duly chosen non-monetary reward, directly inconvertible into money, leads to a different offer distribution in the Ultimatum game without the necessity to invest excessive sums of money in the rewards. We compare our results to research published by other authors. According to our theory, the rational, non-rational and irrational components contribute to the decision making in Ultimatum differently depending on the different reward stakes.
Rational drug design applied to myeloperoxidase inhibition.
Van Antwerpen, P; Zouaoui Boudjeltia, K
2015-06-01
Rational drug design is a general approach using protein-structure technique in which the discovery of a ligand can be driven either by chance, screening, or rational theory. Myeloperoxidase (MPO) was rapidly identified as a therapeutical target because of its involvement in chronic inflammatory syndromes. In this context, the research of MPO inhibitors was intensified and development of new chemical entities was rationally driven by the research of ligands that enter into the MPO catalytic pocket. Actually, as soon as crystallography data of MPO have become available and its structure was virtually designed, the rational drug design has been applied to this peroxidase. Pharmaceutical industries and academic laboratories apply rational drug design on MPO by either optimizing known inhibitors or searching new molecules by high-throughput virtual screening. By these ways, they were able to find efficient MPO inhibitors and understand their interactions with the enzyme. During this quest of MPO inhibition, it appears that Glu268 is a crucial residue in order to optimize ligand-target interaction. This amino acid should be carefully considered by medicinal chemist when they design inhibitors interfering with MPO activity.
Oligopolistic Banks, Bounded Rationality, and the Credit Cycle
Tobias F. Rötheli
2012-01-01
Full Text Available This paper studies how boundedly rational default expectations affect the credit cycle. I propose a simple model of oligopolistic bank competition which serves to compare situations with just a portion of boundedly rational banks to situations where either all banks are rational or all banks are boundedly rational. When all banks are boundedly rational, the credit cycle is most amplified relative to the situation where all banks are rational. However, the amplifying effect of bounded rationality on the side of banks largely remains even when only a portion of banks are boundedly rational. Hence, the interest rate decisions of a minority of boundedly rational banks induce the more rational competitors to aggravate the credit cycle.
Source localization using rational approximation on plane sections
Clerc, M.; Leblond, J.; Marmorat, J.-P.; Papadopoulo, T.
2012-05-01
In functional neuroimaging, a crucial problem is to localize active sources within the brain non-invasively, from knowledge of electromagnetic measurements outside the head. Identification of point sources from boundary measurements is an ill-posed inverse problem. In the case of electroencephalography (EEG), measurements are only available at electrode positions, the number of sources is not known in advance and the medium within the head is inhomogeneous. This paper presents a new method for EEG source localization, based on rational approximation techniques in the complex plane. The method is used in the context of a nested sphere head model, in combination with a cortical mapping procedure. Results on simulated data prove the applicability of the method in the context of realistic measurement configurations.
Changing Conspiracy Beliefs through Rationality and Ridiculing
Gábor Orosz
2016-10-01
Full Text Available Conspiracy theory (CT beliefs can be harmful. How is it possible to reduce them effectively? Three reduction strategies were tested in an online experiment using general and well-known CT beliefs on a comprehensive randomly assigned Hungarian sample (N = 813: exposing rational counter CT arguments, ridiculing those who hold CT beliefs, and empathizing with the targets of CT beliefs. Several relevant individual differences were measured. Rational and ridiculing arguments were effective in reducing CT, whereas empathizing with the targets of CTs had no effect. Individual differences played no role in CT reduction, but the perceived intelligence and competence of the individual who conveyed the CT belief-reduction information contributed to the success of the CT belief reduction. Rational arguments targeting the link between the object of belief and its characteristics appear to be an effective tool in fighting conspiracy theory beliefs.
Decision Making: Between Rationality and Reality
Marko Polič
2009-12-01
Full Text Available Almost by definition decision-making is typical human activity, and therefore important psychological subject. The starting point of its classical conception within psychology could be traced back to economy and mathematic, with ideas of human as rational economic being, and conceptualising decision making as choice between two or more alternatives, and as such being a separate event in space and time. Already in fifties Herbert Simon challenged such a view with his concept of bounded rationality, emerging from the joint effect of internal limitations of the human mind, and the structure of external environments in which the mind operates. During the last decades with the shift to the real word situations where decisions are embedded in larger tasks, becoming so part of the study of action, the lost rational human appeared again as efficient creature in the complex environment. Gigerenzer showed how heuristics help in this process.
Rational speculative bubbles: A critical view
Radonjić Ognjen
2007-01-01
Full Text Available According to the theory of rational bubbles, the bubble is present whenever asset prices progressively diverge from their fundamental value, which occurs because agents expect that asset prices will continue to grow exponentially (self-fulfilling prophecies far in the future and consistently, which promises the realization of ever larger capital gains. In our opinion, the basic shortcoming of this theory refers to the assumption that all market agents are perfectly informed and rational and, accordingly, form homogeneous expectations. The model does not explain decision-making processes or expectation formation, nor does it detect potential psychological and institutional factors that might significantly influence decision making processes and market participants’ reactions to news. Since assumptions of the model critically determine its validity, we conclude that comprehensiveness of the rational bubble model is, to put it mildly, limited.
Direct Extraction of One Loop Rational Terms
Badger, S D
2009-01-01
We present a method for the direct extraction of rational contributions to one-loop scattering amplitudes, missed by standard four-dimensional unitarity techniques. Working in D=4-2*epsilon dimensions, we interpret the dependence on the additional dimensions as equivalent to introducing an internal mass. We combine this with the use of generalised unitarity to write the loop amplitudes in terms of products of massive tree amplitudes. We find that the rational terms in 4-2*epsilon dimensions can be determined from quadruple, triple and double cuts without the need for independent pentagon contributions using a massive integral basis. The additional mass-dependent integral coefficients may then be extracted analytically or numerically using discrete Fourier projections. We check the method by computing the rational parts of all gluon helicity amplitudes with up to six external legs.
Does the Minimum Wage Cause Inefficient Rationing?
何满辉; 梁明秋
2008-01-01
By not allowing wages to dearthe labor market,the minimum wage could cause workers with low reservation wages to be rationed out while equally skilled woTkers with higher reservation wages are employed.I find that proxies for reservation wages of unskilled workers in high-impact stales did not rise relative to reservation wages in other states,suggesting that the increase in the minimum wage did not cause jobs to be allocated less efficiently.However,even if rationing is efficient,the minimum wage can still entail other efficiency costs.
[The role of economics in fair rationing].
Prenzler, A
2012-10-01
For several years academic disciplines have discussed the potential conflict between scarcity of funding and fair health care. This review article shows the necessity of involving economic scientists in this discussion as well as their contribution to rationalisation, prioritisation and rationing of health care services. Thereby, it becomes clear that rationing and justice are not a contradiction per se. The interdisciplinary discussion in Germany needs less disciplinary egotism and more willingness to seek solutions and compromises. In this context the procedures followed in other countries can serve as examples.
Medicinal cannabis: rational guidelines for dosing.
Carter, Gregory T; Weydt, Patrick; Kyashna-Tocha, Muraco; Abrams, Donald I
2004-05-01
The medicinal value of cannabis (marijuana) is well documented in the medical literature. Cannabinoids, the active ingredients in cannabis, have many distinct pharmacological properties. These include analgesic, anti-emetic, anti-oxidative, neuroprotective and anti-inflammatory activity, as well as modulation of glial cells and tumor growth regulation. Concurrent with all these advances in the understanding of the physiological and pharmacological mechanisms of cannabis, there is a strong need for developing rational guidelines for dosing. This paper will review the known chemistry and pharmacology of cannabis and, on that basis, discuss rational guidelines for dosing.
Rationalization with ruled surfaces in architecture
Steenstrup, Kasper Hornbak
This thesis addresses the problems of rationalizing and segmenting large scale 3D models, and how to handle difficult production constraints in this area. The design choices when constructing large scale architecture are influenced by the budget. Therefore I strive to minimize the amount of time...... and material needed for production. This makes advanced free form architecture viable for low cost projects, allowing the architects to realize their designs. By pre-cutting building blocks using hot wire robots, the amount of milling necessary can be reduced drastically. I do this by rationalizing...
Rationality: A Social-Epistemology Perspective
Sylvia eWenmackers
2014-06-01
Full Text Available Both in philosophy and in psychology, human rationality has traditionally been studied from an 'individualistic' perspective. Recently, social epistemologists have drawn attention to the fact that epistemic interactions among agents also give rise to important questions concerning rationality. In previous work, we have used a formal model to assess the risk that a particular type of social-epistemic interactions lead agents with initially consistent belief states into inconsistent belief states. Here, we continue this work by investigating the dynamics to which these interactions may give rise in the population as a whole.
The Rational Hybrid Monte Carlo Algorithm
Clark, M A
2006-01-01
The past few years have seen considerable progress in algorithmic development for the generation of gauge fields including the effects of dynamical fermions. The Rational Hybrid Monte Carlo (RHMC) algorithm, where Hybrid Monte Carlo is performed using a rational approximation in place the usual inverse quark matrix kernel is one of these developments. This algorithm has been found to be extremely beneficial in many areas of lattice QCD (chiral fermions, finite temperature, Wilson fermions etc.). We review the algorithm and some of these benefits, and we compare against other recent algorithm developements. We conclude with an update of the Berlin wall plot comparing costs of all popular fermion formulations.
The Rational Hybrid Monte Carlo algorithm
Clark, Michael
2006-12-01
The past few years have seen considerable progress in algorithmic development for the generation of gauge fields including the effects of dynamical fermions. The Rational Hybrid Monte Carlo (RHMC) algorithm, where Hybrid Monte Carlo is performed using a rational approximation in place the usual inverse quark matrix kernel is one of these developments. This algorithm has been found to be extremely beneficial in many areas of lattice QCD (chiral fermions, finite temperature, Wilson fermions etc.). We review the algorithm and some of these benefits, and we compare against other recent algorithm developements. We conclude with an update of the Berlin wall plot comparing costs of all popular fermion formulations.
Rational design of protein kinase inhibitors
Yarmoluk S. M.
2013-07-01
Full Text Available Modern methodological approaches to rational design of low molecular weight compounds with specific activity in relation to predetermined biomolecular targets are considered by example of development of high effective protein kinase inhibitors. The application of new computational methods that allow to significantly improve the quality of computational experiments (in, particular, accuracy of low molecular weight compounds activity prediction without increase of computational and time costs are highlighted. The effectiveness of strategy of rational design is demonstrated by examples of several own investigations devoted to development of new inhibitors that are high effective and selective towards protein kinases CK2, FGFR1 and ASK1.
Rational homotopy theory and differential forms
Griffiths, Phillip
2013-01-01
This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham's theorem on simplicial complexes. In addition, Sullivan's results on computing the rational homotopy type from forms is presented. New to the Second Edition: *Fully-revised appendices including an expanded discussion of the Hirsch lemma*Presentation of a natu
Planas Vilà, Mercedes
2014-01-01
The current economic situation is the reason for this conference that will be split in two main areas: first, we will focus on general concepts on rationalizing versus rationing in health care, and secondly, on rationing in the practice of clinical nutrition. According to the Spanish Royal Academy of the Language, to rationalize is to organize the production or the work in a manner such the yields are increased or the costs are reduced with the least effort. However, to ration is the action and effect of rationing or limiting the consumption of something to prevent negative consequences. In Europe, the percentage of the Gross National Product dedicated to health care progressively decreases whereas the costs of health care are ever increasing. From the economic viewpoint, this would be the main reason why the health care authorities have no other option but rationing. Until what extent the ethical principle of justice is compatible with rationing? Ethically, it seems that in order to accept rationing, not only a fair distribution of the limited resources should be achieved, but also a rational use of them. If we accept that limiting the health care allowances is necessary, we should then answer some questions: is it ethical not to limit? Who decides what is medically necessary? How is it decided? With no coherent answers to these questions it is ethically difficult to accept rationing from a healthcare viewpoint. When dealing with rationing in the practice of clinical nutrition, we should focus on how rationing impacts on hyponutrition, and more particularly on disease-related hyponutrition, since this is the focus of Clinical Nutrition. Given its importance and its implications, in several countries, including Spain, actions integrated in the European Union strategy "Together for health: a Strategic Approach for the EU 2008-2013", are being performed aimed at taking decisions for preventing and managing hyponutrition. However, restrictions persist with the
Rational approximations and quantum algorithms with postselection
Mahadev, U.; de Wolf, R.
2015-01-01
We study the close connection between rational functions that approximate a given Boolean function, and quantum algorithms that compute the same function using post-selection. We show that the minimal degree of the former equals (up to a factor of 2) the minimal query complexity of the latter. We gi
MINIMAL RATIONAL INTERPOLATION AND PRONYS METHOD
ANTOULAS, AC; WILLEMS, JC
1990-01-01
A new method is proposed for dealing with the rational interpolation problem. It is based on the reachability of an appropriately defined pair of matrices. This method permits a complete clarification of several issues raised, but not answered, by the so-called Prony method of fitting a linear model
Rational bargaining in games with coalitional externalities
Borm, Peter; Ju, Y.; Wettstein, D.
This paper provides a flexible strategic framework to analyze bargaining and values in environments with coalitional externalities. Within this framework we propose a new value that extends the Shapley value to partition function form games, the so-called Rational Belief Shapley (RBS) value. We
Rational Rhymes for Addressing Common Childhood Issues
Warren, Jeffrey M.
2011-01-01
Music-based interventions are valuable tools counselors can use when working with children. Specific types of music-based interventions, such as songs or rhymes, can be especially pertinent in addressing the thoughts, feelings, and behaviors of children. Rational-emotive behavior therapy (REBT) provides a therapeutic framework that encourages…
Dr. Strangelove and Irrational Collective Rationality
韩蕾
2012-01-01
Dr. Strangelove or: How I learned to Stop Worrying and Love the Bomb is a 1964 black comedy film with satire of arm races and nuclear scare by the director Stanley Kubrick. In the movie, irrational practice and ideologies manifest them⁃selves as collective rationality and result in the destruction of the earth.
Hietarinta, Jarmo; Hietarinta, Jarmo; Kajiwara, Kenji
1997-01-01
We study the rational solutions of the discrete version of Painleve's fourth equation d-PIV. The solutions are generated by applying Schlesinger transformations on the seed solutions -2z and -1/z. After studying the structure of these solutions we are able to write them in a determinantal form that includes an interesting parameter shift that vanishes in the continuous limit.
Bounded Rationality of Generalized Abstract Fuzzy Economies
Lei Wang
2014-01-01
Full Text Available By using a nonlinear scalarization technique, the bounded rationality model M for generalized abstract fuzzy economies in finite continuous spaces is established. Furthermore, by using the model M, some new theorems for structural stability and robustness to (λ,ϵ-equilibria of generalized abstract fuzzy economies are proved.
Rational Voters in a Partisanship Model
O.H. Swank (Otto)
1995-01-01
textabstractThis paper examines a voter model for the US which is interconnected with the partisan theory. In our model, voters are rational and forward-looking. They are perfectly informed about the preferences of political parties and about the state of the economy. The predictions of our voter mo
CONSTRAINED RATIONAL CUBIC SPLINE AND ITS APPLICATION
Qi Duan; Huan-ling Zhang; Xiang Lai; Nan Xie; Fu-hua (Frank) Cheng
2001-01-01
In this paper, a kind of rational cubic interpolation functionwith linear denominator is constructed. The constrained interpolation with constraint on shape of the interpolating curves and on the second-order derivative of the interpolating function is studied by using this interpolation, and as the consequent result, the convex interpolation conditions have been derived.
Robust identification for rational fractional transfer functions
王书宁
1997-01-01
An algorithm is proposed for robust identification of a rational fractional transfer function with a fixed degree under the framework of worst-case/deterministic robust identification. The convergence of the algorithm is proven. Its feasibility is shown with a numerical example.
Adaptive Rationality, Adaptive Behavior and Institutions
Volchik Vyacheslav, V.
2015-12-01
Full Text Available The economic literature focused on understanding decision-making and choice processes reveals a vast collection of approaches to human rationality. Theorists’ attention has moved from absolutely rational, utility-maximizing individuals to boundedly rational and adaptive ones. A number of economists have criticized the concepts of adaptive rationality and adaptive behavior. One of the recent trends in the economic literature is to consider humans irrational. This paper offers an approach which examines adaptive behavior in the context of existing institutions and constantly changing institutional environment. It is assumed that adaptive behavior is a process of evolutionary adjustment to fundamental uncertainty. We emphasize the importance of actors’ engagement in trial and error learning, since if they are involved in this process, they obtain experience and are able to adapt to existing and new institutions. The paper aims at identifying relevant institutions, adaptive mechanisms, informal working rules and practices that influence actors’ behavior in the field of Higher Education in Russia (Rostov Region education services market has been taken as an example. The paper emphasizes the application of qualitative interpretative methods (interviews and discourse analysis in examining actors’ behavior.
Heterogeneous Parking Market Subject to Parking Rationing
Saeed Asadi Bagloee
2015-01-01
Full Text Available Different types of drivers and parking spaces delineate a heterogeneous parking market for which the literature has yet to provide a model applicable to the real world. The main obstacle is computational complexities of considering various parking restrictions along with traffic congestion on the road network. In this study, the heterogeneity aspects are considered within a Logit parking choice model. A mathematical programming problem was introduced to explicitly consider parking capacities and parking rationing constraints. The parking rationing is defined as any arrangement to reserve parking space for some specific demand such as parking permit, private parking, VIP parking, and different parking durations. Introduction of parking rationing in the presence of other constraints is a unique factor in this study which makes the model more realistic. The algorithm was tested on a central business district case study. The results prove that the algorithm is able to converge rapidly. Among the algorithm’s output are shadow prices of the parking capacity and parking rationing constraints. The shadow prices contain important information which is key to addressing a variety of parking issues, such as the location of parking shortages, identification of fair parking charges, viability of parking permits, and the size of reserved parking.
Multiple Equilibria in Noisy Rational Expectations Economies
Palvolgyi, Domotor; Venter, Gyuri
This paper studies equilibrium uniqueness in standard noisy rational expectations economies with asymmetric or differential information a la Grossman and Stiglitz (1980) and Hellwig (1980). We show that the standard linear equilibrium of Grossman and Stiglitz (1980) is the unique equilibrium...
The Rational Optimist: How Prosperity Evolves
Matt Ridley
2012-05-01
Full Text Available There is much debate about the state of the world. Matt Ridley argues in The Rational Optimist that we can solve problems such as economic crashes,population explosions, climate change and terrorism, of poverty, AIDS, depression and obesity. His trust of capitalism and progress is examined and challenged in this book review.
An Appraisal of Rational-Emotive Therapy.
Haaga, David A. F.; Davison, Gerald C.
1993-01-01
Scrutinizes rational-emotive therapy (RET) on conceptual and empirical grounds, including its reliance on constructive assessment and ethical stance. Notes that, although metanalytic reviews provide support for general utility of RET, more qualitative reviews question internal and external validity of much of published research. Notes that process…
Rational Emotive Behavior Therapy with Troubled Students.
Zionts, Paul; Zionts, Laura
1997-01-01
Based on the early work of Albert Ellis, seeks to identify and challenge irrational beliefs that underlie behavior problems. Outlines concepts and methods of Rational Emotive Behavior Theory and describes the application both in counseling and as a mental health curriculum for troubled children and youth. Offers classroom techniques. (RJM)
The Rational-Emotive Approach: A Critique
Morris, G. Barry
1976-01-01
The critique of Rational-Emotive Therapy aims criticism at Ellis' concept of irrationality, analysis of human behavior and therapeutic techniques. Ellis suggests that his critic's claims lack the support of experimental evidence. He further suggests that an "existential" bias pervades which differs from his own brand of "existentialism." (KRP)
Reflections on Rational-Emotive Therapy.
Ellis, Albert
1993-01-01
Reflects rational-emotive therapy (RET) in 1955 and discusses some of its recent constructivist and humanist theories and practice. Distinguishes between general RET, called synonymous with general cognitive-behavioral therapy, from preferential RET, called unique kind of cognitive therapy that partially overlaps with general cognitive-behavioral…
Rational Suggestions for Pre-Marital Counseling.
Ball, J.D.; Henning, Lawrence H.
1981-01-01
To demonstrate the utility of Rational Emotive Therapy in pre-marital counseling, examples of specific irrational beliefs which clinicians can use to help couples are presented. Mental health practitioners are encouraged to apply these principles to other specific irrationalities they may discover in their own work experience. (Author)
Block Toeplitz operators with rational symbols (II)
Hwang, In Sung [Department of Mathematics, Sungkyunkwan University, Suwon 440-746 (Korea, Republic of); Lee, Woo Young [Department of Mathematics, Seoul National University, Seoul 151-742 (Korea, Republic of)], E-mail: ishwang@skku.edu, E-mail: wylee@math.snu.ac.kr
2008-09-26
In this paper we derive a formula for the rank of the self-commutator of hyponormal block Toeplitz operators T{sub {phi}} with matrix-valued rational symbols {phi} in L{sup {infinity}}(C{sup nxn}) via the classical Hermite-Fejer interpolation problem.
Block Toeplitz operators with rational symbols
Hwang, In Sung [Department of Mathematics, Sungkyunkwan University, Suwon 440-746 (Korea, Republic of); Lee, Woo Young [Department of Mathematics, Seoul National University, Seoul 151-742 (Korea, Republic of)], E-mail: ishwang@skku.edu, E-mail: wylee@math.snu.ac.kr
2008-05-09
In this paper we show that the hyponormality of block Toeplitz operators T{sub {phi}} with matrix-valued rational symbols {phi} in L{sup {infinity}}(C{sup nxn}) is completely determined by the tangential Hermite-Fejer interpolation problem.
Summary Report on Rational Cryptographic Protocols
Alwen, Joël; Cachin, Christian; Pereira, Olivier
This report gives an overview of some of the models and techniques in rational cryptography, an emerging research area which in particular uses the methodologies and techniques of game theory to analyze cryptographic protocols and which uses cryptographic protocol theory to implement game theoretic...
Rational and Mechanistic Perspectives on Reinforcement Learning
Chater, Nick
2009-01-01
This special issue describes important recent developments in applying reinforcement learning models to capture neural and cognitive function. But reinforcement learning, as a theoretical framework, can apply at two very different levels of description: "mechanistic" and "rational." Reinforcement learning is often viewed in mechanistic terms--as…
Rationality and its limits in Arianism
Birjukov, Dmitry
2008-06-01
Full Text Available Having considered certain recurrent issues, such as the idea of comprehensibility of God and apopahtic theology, Dmitry Birjukov (Russian Christian Academy, St. Petersburg looks at the rational tendencies in Arianism and, on the basis of available data, shows how from Arius and Asterius to the Neo-Arians the rationalist tendencies in theology gradually increase while apophatic element virtually disappears.
Macroeconomics after Two Decades of Rational Expectations.
McCallum, Bennett T.
1994-01-01
Discusses real business cycle analysis, growth theory, and other economic concepts in the context of the rational expectations revolution in macroeconomics. Focuses on post-1982 research. Concludes that the rejuvenation of growth analysis is an encouraging development because it could lead to changes in welfare policy. (CFR)
A characterization of quasi-rational polygons
Bedaride, Nicolas
2012-11-01
The aim of this paper is to study quasi-rational polygons related to the outer billiard. We compare different notions introduced in Gutkin and Simányi (1992 Commun. Math. Phys. 143 431-49) and Schwartz (2009 Outer Billiards on Kites (Annals of Mathematics Studies vol 171) (Princeton, NJ: Princeton University Press)) and make a synthesis of them.
Rational Emotive Behavior Therapy: Humanism in Action.
Hill, Larry K.
1996-01-01
Claims that humanism, in both concept and philosophy, is encased in a literature that is predominantly abstract, making humanism difficult to translate into tangible day-to-day action. Argues that rational emotive behavior therapy (REBT), however, provides a detailed method for translating humanist concepts into humanist behavior. (RJM)
Critical Thinking and Rational Emotive Behavior Therapy.
Hatcher, Donald; Brown, Tony; Gariglietti, Kelli P.
2001-01-01
Notes limitations of Rational Emotive Behavior Therapy (REBT). Suggests that should these weaknesses be addressed, teachers of critical thinking would do well to incorporate REBT into their critical thinking courses. Relates that A. Ellis has suggested that the future of REBT is in integrating it into the educational curriculum as a way of…
Some Contemporary Rational Emotive Behavior Therapy Songs.
Watts, Richard E.
1996-01-01
Presents several new rational emotive behavior therapy (REBT) songs. Claims that the songs may be used in both academic and therapeutic settings as a humorous way to address cognitive distortions or irrational beliefs. Reports that students and clients have responded favorably to these songs. (RJM)
[Popper's critical rationalism and the biomedical sciences].
Havlícek, J
1993-11-08
Popper's rationalism makes an important contribution of the 20th century philosophy to the methodology of natural sciences. Through its criterion of falsification, it enabled the scientists to take a critical but constructive view on hypotheses, conjectures and theories. This attitude found its application also in medicine.
Viagra: : A success story for rationing?
Klein, R.; Sturm, H.
2002-01-01
The 1998 launch of Viagra prompted widespread fears about the budgetary consequences for insurers and governments, all the more so since Viagra was only the first of a new wave of so-called lifestyle drugs. The fears have turned out to be greatly exaggerated. This paper analyzes the rationing strate
Isomorphism, Homogeneity, and Rationalism in University Retrenchment.
Gates, Gordon S.
1997-01-01
Describes the process of retrenchment at a medium-sized state university (pseudonyms used) for the purpose of analyzing the isomorphic pressures (mimetic, coercive, normative) surfacing during the process and the role played by rationalism in decision-making. Draws on the literature of organizational theory and change, and makes comparisons with…
Disability and Rational Emotive Behavior Therapy (REBT).
Gandy, Gerald L.
This article provides information on how Rational Emotive Behavior Therapy (REBT) can be adapted for use in rehabilitation counseling. It states that although clients with an average range of intelligence have responded well to REBT, clients with borderline intellectual functioning are not suitable candidates for cognitive disputing but can be…
Critical Thinking and Rational Emotive Behavior Therapy.
Hatcher, Donald; Brown, Tony; Gariglietti, Kelli P.
2001-01-01
Notes limitations of Rational Emotive Behavior Therapy (REBT). Suggests that should these weaknesses be addressed, teachers of critical thinking would do well to incorporate REBT into their critical thinking courses. Relates that A. Ellis has suggested that the future of REBT is in integrating it into the educational curriculum as a way of…
Rational Emotive Behavior Therapy with Troubled Students.
Zionts, Paul; Zionts, Laura
1997-01-01
Based on the early work of Albert Ellis, seeks to identify and challenge irrational beliefs that underlie behavior problems. Outlines concepts and methods of Rational Emotive Behavior Theory and describes the application both in counseling and as a mental health curriculum for troubled children and youth. Offers classroom techniques. (RJM)
Some Contemporary Rational Emotive Behavior Therapy Songs.
Watts, Richard E.
1996-01-01
Presents several new rational emotive behavior therapy (REBT) songs. Claims that the songs may be used in both academic and therapeutic settings as a humorous way to address cognitive distortions or irrational beliefs. Reports that students and clients have responded favorably to these songs. (RJM)
Rational Emotive Behavior Therapy: Humanism in Action.
Hill, Larry K.
1996-01-01
Claims that humanism, in both concept and philosophy, is encased in a literature that is predominantly abstract, making humanism difficult to translate into tangible day-to-day action. Argues that rational emotive behavior therapy (REBT), however, provides a detailed method for translating humanist concepts into humanist behavior. (RJM)
CREDIT RATIONING AND SME DEVELOPMENT IN BOTSWANA ...
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Heckman Probit Model with sample selection was used to estimate the ... is organized as follows: section 2 presents the detailed research problem, ... and joint ventures). .... It is at quantity- rationing stage that the bank fine tunes the loan contract ... This implies that firms with a lot of intangible assets, which are difficult to.
Rationing in the presence of baselines
Hougaard, Jens Leth; Moreno-Ternero, Juan D.; Østerdal, Lars Peter
2013-01-01
We analyze a general model of rationing in which agents have baselines, in addition to claims against the (insufficient) endowment of the good to be allocated. Many real-life problems fit this general model (e.g., bankruptcy with prioritized claims, resource allocation in the public health care...
... Fact Sheets Fact Sheets En Español: Mapeo Genético Genetic Mapping What is genetic mapping? How do researchers create ... genetic map? What are genetic markers? What is genetic mapping? Among the main goals of the Human Genome ...
Rational points, rational curves, and entire holomorphic curves on projective varieties
Gasbarri, Carlo; Roth, Mike; Tschinkel, Yuri
2015-01-01
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation.
Schwendimann, Beat Adrian
2014-01-01
A concept map is a node-link diagram showing the semantic relationships among concepts. The technique for constructing concept maps is called "concept mapping". A concept map consists of nodes, arrows as linking lines, and linking phrases that describe the relationship between nodes. Two nodes connected with a labeled arrow are called a proposition. Concept maps are versatile graphic organizers that can represent many different forms of relationships between concepts. The relationship between...
实践理性辨析%Rational Practice:Discussion Praclice:Rational Discussion
王炳书
2001-01-01
The problem of the rationalities of practice in not only the necessary theoretical content included by the Marxist philosophy,but also a significant task of the present practice.This dissertation,by analysis of the inner relation between practice and rationality and comparison between rationalities of practice and rationalities of theory,is going to throw some light on the innate character and distiguish features of rationalities of practice and basic form of rationalities of practice.%实践理性问题既是马克思主义哲学中必然蕴含着的理论内容，更是当代实践提出的重大课题。实践是理性的真实之所，理性是实践的重要特征，因此,必须从实践与理性的内在结合中揭示实践理性的本质，从实践理性与理论理性的比较与对照中揭示实践理性的特点，从人与世界的关系中探寻实践理性的基本形式。
de Melo, Pedro Miguel M. C.; Marini, Andrea
2016-04-01
We present a full ab initio description of the coupled out-of-equilibrium dynamics of photons, phonons, and electrons. In the present approach, the quantized nature of the electromagnetic field as well as of the nuclear oscillations is fully taken into account. The result is a set of integrodifferential equations, written on the Keldysh contour, for the Green's functions of electrons, phonons, and photons where the different kinds of interactions are merged together. We then concentrate on the electronic dynamics in order to reduce the problem to a computationally feasible approach. By using the generalized Baym-Kadanoff ansatz and the completed collision approximation, we introduce a series of efficient but controllable approximations. In this way, we reduce all equations to a set of decoupled equations for the density matrix that describe all kinds of static and dynamical correlations. The final result is a coherent, general, and inclusive scheme to calculate several physical quantities: carrier dynamics, transient photoabsorption, and light emission, all of which include, at the same time, electron-electron, electron-phonon, and electron-photon interactions. We further discuss how all these observables can be easily calculated within the present scheme using a fully atomistic ab initio approach.
Development of the Rational Behavior Inventory: Initial Validity and Reliability
Shorkey, Clayton T.; Whiteman, Victor L.
1977-01-01
The results of initial validity and reliability studies on the Rational Behavior Inventory are presented. The instrument was developed to be used for assessment, treatment planning, and evaluation of clients by counselors who use Rational Emotive Therapy. (Author/JKS)
Rationality and Organization: the Multiple Aspects of an Enigma
Victor Natanael Schwetter Silveira
2008-10-01
Full Text Available The aim of this article is to make a theoretical discussion about the rationality concept and its impacts over the organization’s context. Starting from the philosophical influences by notions of reason and rationality, a brief historical and philosophical approach is making, discussing about the duality of two basics notions: logic (thought and pragmatic (action. On sequence, the rationality concept it’s considered with regard to Weber’s theory ofbureaucracy. After that, the cognitive boundaries of human rationality are considered and the relationships between rationality, legitimacy and institutionalization are overviewed. Finally, rationality is overviewed based on Critical Theory authors like Habermas (1987a, Horkheimer (2002 and Marcuse (1975. In conclusion, this discussion tries to evidence the range and implications of the multiple facets of rationality concept and also brings concepts to go forward the debates about rationality on organizational theory field.
Behaviorally rational expectations and almost self-fulfilling equilibria
Hommes, C.
2013-01-01
Rational expectations assumes perfect, model consistency between beliefs and market realizations. Here we discuss behaviorally rational expectations, characterized by an observable, parsimonious and intuitive form of consistency between beliefs and realizations. We discuss three case-studies.
Pierre’s Rational and Public Beliefs
Victor M. Verdejo
2012-12-01
Full Text Available Paradigmatic cases of disagreement seem not to be compatible with a widespread kind of solution to Kripke’s celebrated Pierre puzzle. As a result, the classical puzzle about rational belief is shown to be also a puzzle about public disagreement/agreement phenomena. In this paper, I defend that the new public version of the puzzle is substantial and challenging and conclude that a full solution to Kripke’s considerations must offer a satisfactory account of both the rational and public character of belief attributions. I then argue that a notion of non-belief-individuating understanding is plausibly the key notion that would allow us to arrest both versions of the Pierre puzzle.
On the Rationality of Pluralistic Ignorance
Bjerring, Jens Christian Krarup; Hansen, Jens Ulrik; Pedersen, Nikolaj Jang Lee Linding
2014-01-01
Pluralistic ignorance is a socio-psychological phenomenon that involves a systematic discrepancy between people’s private beliefs and public behavior in cer- tain social contexts. Recently, pluralistic ignorance has gained increased attention in formal and social epistemology. But to get clear...... on what precisely a formal and social epistemological account of pluralistic ignorance should look like, we need answers to at least the following two questions: What exactly is the phenomenon of pluralistic ignorance? And can the phenomenon arise among perfectly rational agents? In this paper, we propose...... and social interactive aspects of the phenomenon. Second, given our characterization of pluralistic ignorance, we argue that the phenomenon can indeed arise in groups of perfectly rational agents. This, in turn, ensures that the tools of formal epistemology can be fully utilized to reason about pluralistic...
On the rationality of Manx crabs
Tove Ahlbom
2014-05-01
Full Text Available This paper accepts the challenge posed by Godfrey Baldacchino in “Islands and despots”, published in Commonwealth & Comparative Politics in February 2012, to acknowledge and investigate the implications of the “expressions of harmony and solidarity” often observed in small island societies. To do so, aspects of the Isle of Man’s political and social life are discussed from the perspectives of popular rule and rationality. This paper argues that a homogeneity in preferences and the political practices of small island states might be a rational way of protecting a vulnerable economy and thus ensuring economic growth and a sufficient allocation to each island resident of the scarce resources required to survive. Such small island homogeneity and consensualism is therefore not necessarily indicating a deficient democratic practice, but might just connote another way of conducting democratic governance, spawned from a particular way of living and a particular range of needs
Rationalism and Future Political Islam in Indonesia
Nurus Shalihin
2013-02-01
Full Text Available This paper aims to examine the Muslim rationality in legislative and executive election, and also to understand the reason why they choose national party, or Islamic party based on the alkali data of legislative and executive election in West Sumatera from 2004-2009 periods. The paradigm of research is a rational choice theory. This paradigm helps to understand the political behavior of Muslim in West Sumatera in legislative and executive election of 2004-2009 period. Finally, the research finds out that Muslim in West Sumatera always make a political choice rationale, and ignore the primordial consideration to choose the party. This fact is crucial factor why the Islamic party was lost in West Sumatera, and other places in Indonesia.
Rational Thinking and Reasonable Thinking in Physics
Isaeva E. A.
2008-04-01
Full Text Available The usual concept of space and time, based on Aristotle's principle of contemplation of the world and of the absoluteness of time, is a product of rational thinking. At the same time, in philosophy, rational thinking differs from reasonable thinking; the aim of logic is to distinguish finite forms from infinite forms. Agreeing that space and time are things of infinity in this work, we shall show that, with regard to these two things, it is necessary to apply reasonable thinking. Spaces with non-Euclidean geometry, for example Riemannian and Finslerian spaces, in particular, the space of the General Theory of the Relativity (four-dimensional pseudo-Riemannian geometry and also the concept of multi-dimensional space-time are products of reasonable thinking. Consequently, modern physical experiment not dealing with daily occurrences (greater speeds than a low speed to the velocity of light, strong fields, singularities, etc. can be covered only by reasonable thinking.
Health Care Rationing and Distributive Justice
Friedrich Breyer
2009-01-01
Full Text Available The rapid progress in medical technology makes it unavoidable to ration health care. In the discussion how to ration many people claim that principles of justice in distributing scarce resources should be applied. In this paper we argue that medical resources are not scarce as such but scarcity is a necessary by-product of collective financing arrangements such as social health insurance. So the right question to ask is the determination of the benefit package of such an institution. Hartmut Kliemt is currently involved in a commendable interdisciplinary research project in which principles of 'prioritization' of medical care are studied. This contribution adds a specific perspective to this endeavour: we ask how the goal of distributive justice can be interpreted in this context and compare different approaches to implementing 'just' allocation mechanisms.
Rational Thinking and Reasonable Thinking in Physics
Isaeva E. A.
2008-04-01
Full Text Available The usual concept of space and time, based on Aristotle’s principle of contemplation of the world and of the absoluteness of time, is a product of rational thinking. At the same time, in philosophy, rational thinking differs from reasonable thinking; the aim of logic is to distinguish finite forms from infinite forms. Agreeing that space and time are things of infinity in this work, we shall show that, with regard to these two things, it is necessary to apply reasonable thinking. Spaces with non-Euclidean geometry, for example Riemannian and Finslerian spaces, in particular, the space of the General Theory of the Relativity (four-dimensional pseudo-Riemannian geometry and also the concept of multi-dimensional space-time are products of reasonable thinking. Consequently, modern physical experiment not dealing with daily occurrences (greater speeds than a low speed to the velocity of light, strong fields, singularities, etc. can be covered only by reasonable thinking.
Rational Instability in the Natural Coalition Forming
Vinogradova, Galina
2012-01-01
We are investigating a paradigm of instability in coalition forming among countries, which indeed is intrinsic to any collection of individual groups or other social aggregations. Coalitions among countries are formed by the respective attraction or repulsion caused by the historical bond propensities between the countries, which produced an intricate circuit of bilateral bonds. Contradictory associations into coalitions occur due to the independent evolution of the bonds. Those coalitions tend to be unstable and break down frequently. The model extends some features of the physical theory of Spin Glasses. Within the frame of this model, the instability is viewed as a consequence of decentralized maximization processes searching for the best coalition allocations. In contrast to the existing literature, a rational instability is found to result from forecast rationality of countries. Using a general theoretical framework allowing to analyze the countries' decision making in coalition forming, we feature a sys...
Rational Curves on Calabi-Yau Threefolds
Katz, S
1992-01-01
The point is to compare the mathematical meaning of the ``number of rational curves on a Calabi-Yau threefold'' to the meaning ascribed to the same notion by string theorists. By considering mirror symmetry applied to conformal field theories corresponding to strings propagating in quintic hypersurfaces in projective 4-space, Candelas, de la Ossa, Green and Parkes calculated the ``number of rational curves on the hypersurface'' by comparing three point functions. Actually, the number of curves may be infinite for special examples; what is really being calculated is a path integral. The point of this talk is to give mathematical techniques and examples for computing the finite number that ``should'' correspond to an infinite family of curves (which coincides with that given by the path integral in every known instance), and to suggest that these techniques should provide the answer to the not yet solved problem of how to calculate instanton corrections to the three point function in general.
Vaccines: from empirical development to rational design.
Christine Rueckert
Full Text Available Infectious diseases are responsible for an overwhelming number of deaths worldwide and their clinical management is often hampered by the emergence of multi-drug-resistant strains. Therefore, prevention through vaccination currently represents the best course of action to combat them. However, immune escape and evasion by pathogens often render vaccine development difficult. Furthermore, most currently available vaccines were empirically designed. In this review, we discuss why rational design of vaccines is not only desirable but also necessary. We introduce recent developments towards specifically tailored antigens, adjuvants, and delivery systems, and discuss the methodological gaps and lack of knowledge still hampering true rational vaccine design. Finally, we address the potential and limitations of different strategies and technologies for advancing vaccine development.
Rational noncompliance with prescribed medical treatment.
Stewart, Douglas O; DeMarco, Joseph P
2010-09-01
Despite the attention that patient noncompliance has received from medical researchers, patient noncompliance remains poorly understood and difficult to alter. With a better theory of patient noncompliance, both greater success in achieving compliance and greater respect for patient decision making are likely. The theory presented, which uses a microeconomic approach, bridges a gap in the extant literature that has so far ignored the contributions of this classic perspective on decision making involving the tradeoff of costs and benefits. The model also generates a surprising conclusion: that patients are typically acting rationally when they refuse to comply with certain treatments. However, compliance is predicted to rise with increased benefits and reduced costs. The prediction that noncompliance is rational is especially true in chronic conditions at the point that treatment begins to move closer to the medically ideal treatment level. Although the details of this theory have not been tested empirically, it is well supported by existing prospective and retrospective studies.
Privacy-Enhancing Auctions Using Rational Cryptography
Miltersen, Peter Bro; Nielsen, Jesper Buus; Triandopoulos, Nikolaos
2009-01-01
We consider enhancing with privacy concerns a large class of auctions, which include sealed-bid single-item auctions but also general multi-item multi-winner auctions, our assumption being that bidders primarily care about monetary payoff and secondarily worry about exposing information about...... show how to use rational cryptography to approximately implement any given ex interim individually strictly rational equilibrium of such an auction without a trusted mediator through a cryptographic protocol that uses only point-to-point authenticated channels between the players. By “ex interim...... close to the original equilibrium.Supported by the Center for Algorithmic Game Theory, funded by The Carlsberg Foundation....
Towards a formal logic of design rationalization
Galle, Per
1997-01-01
Certain extensions to standard predicate logic are proposed and used as a framework for critical logical study of patterns of inference in design reasoning. It is shown that within this framework a modal logic of design rationalization (suggested by an empirical study reported earlier) can...... be formally defined in terms of quantification over a universe of discourse of ‘relevant points of view’. Five basic principles of the extended predicate logic are listed, on the basis of which the validity of ten modal patterns of inference encountered in design rationalization is tested. The basic idea...... of reducing modality to quantification is traced back to the philosophy of von Wright, and the approach is compared to that of related work on logic in design....
Thinking about acting logical foundations for rational decision making
Pollock, John L
2006-01-01
John Pollock aims to construct a theory of rational decision making for real agents--not ideal agents. Real agents have limited cognitive powers, but traditional theories of rationality have applied only to idealized agents that lack such constraints. Pollock argues that theories of ideal rationality are largely irrelevant to the decision making of real agents. Thinking about Acting aims to provide a theory of ""real rationality.""
Shape preserving rational bi-cubic function
Malik Zawwar Hussain
2012-11-01
Full Text Available The study is dedicated to the development of shape preserving interpolation scheme for monotone and convex data. A rational bi-cubic function with parameters is used for interpolation. To preserve the shape of monotone and convex data, the simple data dependent constraints are developed on these parameters in each rectangular patch. The developed scheme of this paper is confined, cheap to run and produce smooth surfaces.
NEVILLE-TYPE VECTOR VALUED RATIONAL INTERPOLANTS
陈之兵; 顾传青; 徐晨
2004-01-01
A new kind of vector valued rational interpolants is established by means of Samelson inverse, with scalar numerator and vector valued denominator. It is essen tially different from that of Graves-Morris(1983), where the interpolants are constructed by Thiele-type continued fractions with vector valued numerator and scalar denominator. The new approach is more suitable to calculate the value of a vector valued function for a given point. And an error formula is also given and proven.
Innovative process rational choice grounding in organization
S.M. Illiashenko
2015-01-01
The aim of the article. The aim of the article is to investigate and scientifically to ground recommendations concerning choice of the rational structure and innovative process content, depending on innovative development potential in the organization and innovation radicalization degree, which provides to coordinate interconnection between SRCCW and innovations marketing at its stages for various innovative business types. The results of the analysis. The generalized scheme of organizati...
Price Changes, Resource Adjustments and Rational Expectations
Hoffmann, Kira
This study investigates the relationship between the accuracy of managerial demand expectations, resource adjustment decisions and selling price changes. In line with rational expectation theory, it is argued that managers adjust resources and selling prices differently in response to expected...... that cost elasticity is higher when a demand decrease is expected among companies with similar exposure to demand uncertainty. Overall, this implies that managerial competences in predicting future demand significantly determines firms’ profitability; especially when demand uncertainty is high...
Qualitative behavior of a rational difference equation
Qian Xiao
2011-01-01
Full Text Available Abstract This article is concerned with the following rational difference equation yn+1 = (yn + yn-1/(p + ynyn-1 with the initial conditions; y-1, y0 are arbitrary positive real numbers, and p is positive constant. Locally asymptotical stability and global attractivity of the equilibrium point of the equation are investigated, and non-negative solution with prime period two cannot be found. Moreover, simulation is shown to support the results.
Rational Convolution Roots of Isobaric Polynomials
Conci, Aura; Li, Huilan; MacHenry, Trueman
2014-01-01
In this paper, we exhibit two matrix representations of the rational roots of generalized Fibonacci polynomials (GFPs) under convolution product, in terms of determinants and permanents, respectively. The underlying root formulas for GFPs and for weighted isobaric polynomials (WIPs), which appeared in an earlier paper by MacHenry and Tudose, make use of two types of operators. These operators are derived from the generating functions for Stirling numbers of the first kind and second kind. Hen...
Pattern of the rational worker incentive system
Kopytova A.V.
2017-01-01
The article presents a model of rational incentive system with the structure consisting of three blocks. The first block (financial incentives) provides monetary compensation to a worker. The second block (stimulating by comfortable living conditions) is aimed to regulate the quality of a worker’s life in and outside the place he works. The third block (non-financial incentives) takes into account cultural and social worker’s needs. The proposed structure of incentive system provides the most...
Uniform Ration Cost System - Summary Report
1975-06-01
of food util.ization data from five civil ian organizations judged to be comparable to DoD feeding. Common characteristics included the age, sex ...of this important linkage between the NRL and the FCI, a linkage affecting millions of dollars of subsistence funds annually, there is no legally...lake trout, pickerel, salmon, sole, swordfish , whitefish) or Scallops, fresh or frozen 76 Maximum Daily Ration (ounces) 12 9 9 9 12 12 12
The rational design of photocatalytic semiconductor nanoparticles
2014-01-01
This thesis reports the successful rational design of three highly active photocatalytic semiconductor nanocrystal (SNC) systems by exploiting morphology effects and the electronic properties of type II semiconductor heterojunctions. Novel architectures of colloidal SNCs are produced with the aim of suppressing exciton recombination and improving charge extraction for the successful initiation of desirable redox chemistry. Rod-shaped niobium pentoxide Nb2O5 nanocrystals (NCs) are shown to...
[What did bachelard mean by "applied rationalism" ?].
Tiles, Mary
2013-01-01
Bachelard was concerned with the processes whereby scientific knowledge is acquired, including the activity of knowing subjects. He did not equate reasoning with logic but rather argued that reasoning resulted from the use of mathematics in organizing both thought and experimental practices, which is why he conceived science as applied mathematics. This had material and technical implications, for Bachelard was concerned with the element of reason inherent in technical materialism as well as the concrete reality inherent in applied rationalism.
Scalable Mechanisms for Rational Secret Sharing
Dani, Varsha; Saia, Jared
2012-01-01
We consider the classical secret sharing problem in the case where all agents are selfish but rational. In recent work, Kol and Naor show that, when there are two players, in the non-simultaneous communication model, i.e. when rushing is possible, there is no Nash equilibrium that ensures both players learn the secret. However, they describe a mechanism for this problem, for any number of players, that is an epsilon-Nash equilibrium, in that no player can gain more than epsilon utility by deviating from it. Unfortunately, the Kol and Naor mechanism, and, to the best of our knowledge, all previous mechanisms for this problem require each agent to send O(n) messages in expectation, where n is the number of agents. This may be problematic for some applications of rational secret sharing such as secure multi-party computation and simulation of a mediator. We address this issue by describing mechanisms for rational secret sharing that are designed for large n. Both of our results hold for n > 2, and are Nash equil...
NOTES FOR THE CONSTRUCTION OF ENVIRONMENTAL RATIONALITY
Munir Jorge Felício
2015-12-01
Full Text Available The notes for the construction of Environmental Rationality proposed in this text were gathered from a contribution of an analysis of phenomenology, epistemology, and ontology relating to Marx. This initiative aims to broaden and deepen the understanding of environmental issues whose global changes raise challenges, especially for the scientific community. It is to question the development of the economic rationality from the degradation of natural resources engendered by the current socio-economic development model. This model is based on the increase of productivity, technological expansion and maintains the norm as if natural resources were still considered abundant and limitless. The transition of this Environmental Rationality is a development sought by using the knowledge gained from the analysis possibilities of phenomenology. Among these possibilities, the indicated interdisciplinary schools of thought, as required by epistemology, can become an interesting research strategy, since it has as the starting point the external demands, where the elements of the current environmental issue exist, and its consequences.
Rational design of nanomaterials for water treatment
Li, Renyuan; Zhang, Lianbin; Wang, Peng
2015-10-01
The ever-increasing human demand for safe and clean water is gradually pushing conventional water treatment technologies to their limits. It is now a popular perception that the solutions to the existing and future water challenges will hinge upon further developments in nanomaterial sciences. The concept of rational design emphasizes on `design-for-purpose' and it necessitates a scientifically clear problem definition to initiate the nanomaterial design. The field of rational design of nanomaterials for water treatment has experienced a significant growth in the past decade and is poised to make its contribution in creating advanced next-generation water treatment technologies in the years to come. Within the water treatment context, this review offers a comprehensive and in-depth overview of the latest progress in rational design, synthesis and applications of nanomaterials in adsorption, chemical oxidation and reduction reactions, membrane-based separation, oil-water separation, and synergistic multifunctional all-in-one nanomaterials/nanodevices. Special attention is paid to the chemical concepts related to nanomaterial design throughout the review.
Rational design of nanomaterials for water treatment
Li, Renyuan
2015-08-26
The ever-increasing human demand for safe and clean water is gradually pushing conventional water treatment technologies to their limits and it is now a popular perception that the solutions to the existing and future water challenges will highly hinge upon the further development of nanomaterial sciences. The concept of rational design emphasizes ‘design-for-purpose’ and it necessitates a scientifically clear problem definition to initiate the nanomaterial design. The field of rational design of nanomaterials for water treatment has experienced a significant growth in the past decade and is poised to make its contribution in creating advanced next-generation water treatment technologies in the years to come. Within the water treatment context, this review offers a comprehensive and in-depth overview of the latest progress of the rational design, synthesis and applications of nanomaterials in adsorption, chemical oxidation and reduction reactions, membrane-based separation, oil/water separation, and synergistic multifunctional all-in-one nanomaterials/nanodevices. Special attention is paid on chemical concepts of the nanomaterial designs throughout the review.
Rational suicide: philosophical perspectives on schizophrenia.
Hewitt, Jeanette
2010-02-01
Suicide prevention is a National Health Service priority in the United Kingdom. People with mental illness are seen to represent one of the most vulnerable groups for suicide and recent British Government policy has focused on prevention and management of perceived risk. This approach to suicide prevention is constructed under a biomedical model of psychiatry, which maintains that suicidal persons suffer from some form of disease or irrational drive towards self-destruction. Many react to the idea of self-inflicted death with instinctive revulsion, which has prevented serious discussion of the concept of rational suicide, particularly in relation to those with schizophrenia. The idea that there may be circumstances in which suicide can be viewed as rational is discussed within the biomedical approach to ethics and wider literature primarily in relation to physical disease, terminal states and chronic pain. It is not deemed a viable choice for those who are considered 'non-autonomous' due to the controlling forces of mental illness. I propose that suicide is not a consequence of mental illness per se, and that it may be seen as a rational response to a realistic perspective on the course and consequences of living with schizophrenia. The denial of dialogue about the validity of suicidal ideation for people with schizophrenia has led to negative consequences for people with serious mental illness in terms of justice and recognition of person-hood.
Should informed consent be based on rational beliefs?
Savulescu, J; Momeyer, R W
1997-01-01
Our aim is to expand the regulative ideal governing consent. We argue that consent should not only be informed but also based on rational beliefs. We argue that holding true beliefs promotes autonomy. Information is important insofar as it helps a person to hold the relevant true beliefs. But in order to hold the relevant true beliefs, competent people must also think rationally. Insofar as information is important, rational deliberation is important. Just as physicians should aim to provide relevant information regarding the medical procedures prior to patients consenting to have those procedures, they should also assist patients to think more rationally. We distinguish between rational choice/action and rational belief. While autonomous choice need not necessarily be rational, it should be based on rational belief. The implication for the doctrine of informed consent and the practice of medicine is that, if physicians are to respect patient autonomy and help patients to choose and act more rationally, not only must they provide information, but they should care more about the theoretical rationality of their patients. They should not abandon their patients to irrationality. They should help their patients to deliberate more effectively and to care more about thinking rationally. We illustrate these arguments in the context of Jehovah's Witnesses refusing life-saving blood transfusions. Insofar as Jehovah's Witnesses should be informed of the consequences of their actions, they should also deliberate rationally about these consequences. PMID:9358347
Coping More Effectively Through Rational Self-Counseling.
Rogers, George W., Jr.
1981-01-01
Rational Self-Counseling, a variation of rational-emotive therapy, is a self-help therapeutic technique in which students are encouraged to be responsible for their own behavior and emotions. The primary function of self-counseling is to evaluate whether thoughts are rational. A list of questions which students might ask themselves is presented.…
The Properties of Rational Modules and Coideal Subalgebras
张良云
2000-01-01
In this paper, we first prove that the dual module of a rational module is still, a rational module, and maximum rational modules keep their exact properties. Then, we give the Maschke theorem of the coideal subalgebra of quasi-Frobenius algebra, and give some equivalent conditions for the ideal subcoalgebra.
Rational Emotive Behavior Therapy Successes and Failures: Eight Personal Perspectives.
Weinrach, Stephen G.; Ellis, Albert; MacLaren, Catharine; DiGiuseppe, Raymond; Vernon, Ann; Wolfe, Janet; Malkinson, Ruth; Backx, Wouter
2001-01-01
Eight experts in Rational Emotive Behavior Therapy (REBT) provide personal examples of their own successes and failures in applying REBT to themselves. The experts actively talked to themselves both rationally and irrationally. Rational self-talk was more prevalent in the examples of how REBT was successfully used by the experts. (GCP)
Rational Emotive Behavior Therapy Successes and Failures: Eight Personal Perspectives.
Weinrach, Stephen G.; Ellis, Albert; MacLaren, Catharine; DiGiuseppe, Raymond; Vernon, Ann; Wolfe, Janet; Malkinson, Ruth; Backx, Wouter
2001-01-01
Eight experts in Rational Emotive Behavior Therapy (REBT) provide personal examples of their own successes and failures in applying REBT to themselves. The experts actively talked to themselves both rationally and irrationally. Rational self-talk was more prevalent in the examples of how REBT was successfully used by the experts. (GCP)
Rational Suicide and the Crisis of Terminal Illness.
Lokhandwala, Tasneem M.; Westefeld, John S.
1998-01-01
Whether or not suicide may be considered a rational choice for clients with terminal illness is controversial. Rational suicide and the literature and statistics pertaining to suicide and terminal illness are reviewed. Implications of accepting rational suicide as a treatment option, including moral and ethical issues, are addressed. (Author/EMK)
The tools of rational product range support
A.I. Jakovlev
2014-09-01
Full Text Available The aim of the article. The aim of the research is to improve the methodological approaches to support the rational range of products under today's market conditions. The results of the analysis. Planning and optimization of product mix does not lose its relevance under the current economic conditions. One of the most important tasks in planning is to determine the range of rational perspective to the enterprise product lines products. In this connection there is a need to expand the use of methodological approaches to support the range of products. Integrated application of methodological approaches for determining the rationality and balance the range of products increases the validity of economic decision-making in the field of marketing of the company by identifying the correlation between the profitability of product lines and their weight in the total production. Using the margin profit as a criterion for ranking groups of products with the construction of the Pareto chart allows for a more flexible product strategy, which under the current market conditions is a significant competitive advantage for the enterprise. The necessary conditions for the effective implementation of the proposals of the authors are the high level of consistency of the strategic, tactical and operational levels of management at the enterprise, as well as the analysis of the results of marketing research about customer satisfaction of product parameters. The using of Pareto charts and Spearman correlation coefficient provides increased sales volumes, increasing the target market share of the enterprise, improving the company's image, reducing the risk of marketing activities, increase the company's profit. The results of this study give the company an opportunity to identify deficiencies in a timely manner in the activities and to identify the main directions of improvement of management systems and production planning. Prospects of this study are to develop the
F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections
Lawrie, Craig; Wong, Jin-Mann
2015-01-01
We study elliptic fibrations for F-theory compactifications realizing 4d and 6d supersymmetric gauge theories with abelian gauge factors. In the fibration these U(1) symmetries are realized in terms of additional rational sections. We obtain a universal characterization of all the possible U(1) charges of matter fields by determining the corresponding codimension two fibers with rational sections. In view of modelling supersymmetric Grand Unified Theories, one of the main examples that we analyze are U(1) symmetries for SU(5) gauge theories with \\bar{5} and 10 matter. We use a combination of constraints on the normal bundle of rational curves in Calabi-Yau three- and four-folds, as well as the splitting of rational curves in the fibers in codimension two, to determine the possible configurations of smooth rational sections. This analysis straightforwardly generalizes to multiple U(1)s. We study the flops of such fibers, as well as some of the Yukawa couplings in codimension three. Furthermore, we carry out a ...
F-theory and all things rational: surveying U(1) symmetries with rational sections
Lawrie, Craig; Schäfer-Nameki, Sakura; Wong, Jin-Mann
2015-09-01
We study elliptic fibrations for F-theory compactifications realizing 4d and 6d supersymmetric gauge theories with abelian gauge factors. In the fibration these U(1) symmetries are realized in terms of additional rational section. We obtain a universal characterization of all the possible U(1) charges of matter fields by determining the corresponding codimension two fibers with rational sections. In view of modelling supersymmetric Grand Unified Theories, one of the main examples that we analyze are U(1) symmetries for SU(5) gauge theories with overline{5} and 10 matter. We use a combination of constraints on the normal bundle of rational curves in Calabi-Yau three- and four-folds, as well as the splitting of rational curves in the fibers in codimension two, to determine the possible configurations of smooth rational sections. This analysis straightforwardly generalizes to multiple U(1)s. We study the flops of such fibers, as well as some of the Yukawa couplings in codimension three. Furthermore, we carry out a universal study of the U(1)-charged GUT singlets, including their KK-charges, and determine all realizations of singlet fibers. By giving vacuum expectation values to these singlets, we propose a systematic way to analyze the Higgsing of U(1)s to discrete gauge symmetries in F-theory.
Ergodic theory of expanding thurston maps
Li, Zhiqiang
2017-01-01
Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps. In particular, we present equidistribution results for iterated preimages and periodic points with respect to the unique measure of maximal entropy by investigating the number and locations of fixed points. We then use the thermodynamical formalism to establish the existence, uniqueness, and various other properties of the equilibrium state for a Holder continuous potential on the sphere equipped with a visual metric. After studying some weak expansion properties of such maps, we obtain certain large deviation principles for iterated preimages and periodic points under an additional assumption on the critical orbits of the maps. This enables us to obtain general eq...
Ghaderpour, Ebrahim
2014-01-01
In this paper, we introduce some known map projections from a model of the Earth to a flat sheet of paper or map and derive the plotting equations for these projections. The first fundamental form and the Gaussian fundamental quantities are defined and applied to obtain the plotting equations and distortions in length, shape and size for some of these map projections.
RATIONAL CHOICE INSTITUTIONALISM AND THE EUROPEAN NEIGHBOURHOOD POLICY
Andreea Maha
2013-09-01
Full Text Available The aim of this paper is to highlight the main aspects regarding the rational choice theory in neo-institutionalism, and the role the EU Neighbourhood Policy has nowadays. The protagonist of the rational choice theory in the new institutionalism remains homo-economicus. The theory of rational choice institutionalism challenges the perfect rationality of the individual, rather than the principle of rational choice itself. ENP is a framework for consolidating the Union's relations with neighbouring countries and aims therefore intensifying cooperation with them in order to establish a zone of prosperity, good neighbourliness, stability and security.
What Information Theory Says about Bounded Rational Best Response
Wolpert, David H.
2005-01-01
Probability Collectives (PC) provides the information-theoretic extension of conventional full-rationality game theory to bounded rational games. Here an explicit solution to the equations giving the bounded rationality equilibrium of a game is presented. Then PC is used to investigate games in which the players use bounded rational best-response strategies. Next it is shown that in the continuum-time limit, bounded rational best response games result in a variant of the replicator dynamics of evolutionary game theory. It is then shown that for team (shared-payoff) games, this variant of replicator dynamics is identical to Newton-Raphson iterative optimization of the shared utility function.
Linear Parabolic Maps on the Torus
Zyczkowski, K; Zyczkowski, Karol; Nishikawa, Takashi
1999-01-01
We investigate linear parabolic maps on the torus. In a generic case these maps are non-invertible and discontinuous. Although the metric entropy of these systems is equal to zero, their dynamics is non-trivial due to folding of the image of the unit square into the torus. We study the structure of the maximal invariant set, and in a generic case we prove the sensitive dependence on the initial conditions. We study the decay of correlations and the diffusion in the corresponding system on the plane. We also demonstrate how the rationality of the real numbers defining the map influences the dynamical properties of the system.
Integrable four-dimensional symplectic maps of standard type
McLachlan, R I
1993-01-01
We search for rational, four-dimensional maps of standard type (x_{n+1} - 2x_n + x_{n-1} = eps f(x,eps)) possessing one or two polynomial integrals. There are no non-trivial maps corresponding to cubic oscillators, but we find a four-parameter family of such maps corresponding to quartic oscillators. This seems to be the only such example.
Gutwald Rebecca
2015-07-01
Full Text Available Resilienz wird in der Psychologie und Sozialpädagogik häufig als positiv angesehen. In der Armutsbekämpfung ist diese Sichtweise durchaus nachvollziehbar, insbesondere in der Prävention von Kinderarmut: wenn Resilienz das ist, was ein Kind in die Lage versetzt, die Risiken und negativen Folgen von Armut besser zu bewältigen, scheint es sinnvoll, diese Fähigkeit bei Kindern zu fördern. Mein Beitrag befürwortet diesen Befund, plädiert aber dafür, dass die Resilienzdebatte der Untermauerung durch Argumente aus der praktischen Philosophie bedarf, da das, was häufig als Resilienz bezeichnet wird, nicht immer positiv zu bewerten ist. Ziel meines Beitrags ist es, den Resilienzdiskurs im Rahmen der Kinderarmutsbekämpfung in einer normativen Theorie zu verankern: im Capability Ansatz von Amartya Sen. Resilienz wird damit, so meine These, zu einem fundamental normativen Begriff. Mein Beitrag gliedert sich in drei Teile: Zuerst wird auf die Grundideen des CA und die Stellung von Kindheit darin eingegangen. Im zweiten Teil wird der Resilienzbegriff im Kontext von Kinderarmutsprävention charakterisiert. Der dritte Teil widmet sich den Verbindungslinien zwischen der Resilienzdiskussion und dem CA. Leitgedanke ist dabei, dass der CA die menschliche Handlungsfähigkeit als normativ grundlegend auszeichnet. Auf dieser Basis lässt sich überzeugend beurteilen, warum Armut bei Kindern höchst problematisch ist und welches Ziel in der Resilienzförderung verfolgt werden soll. Wie ich argumentieren werde, ist die Bereitstellung von capabilities auch die gerechtigkeitstheoretische Basis von Resilienzförderung in der Praxis. Der Beitrag schließt mit Impulsen, welche, so meine Hoffnung, für eine weitere Diskussion der Normativität von Resilienz dienlich sein können.
Dupuy, Nicolas; Bouaouli, Samira; Mauri, Francesco; Sorella, Sandro; Casula, Michele
2015-06-01
We study the ionization energy, electron affinity, and the π → π∗ (1La) excitation energy of the anthracene molecule, by means of variational quantum Monte Carlo (QMC) methods based on a Jastrow correlated antisymmetrized geminal power (JAGP) wave function, developed on molecular orbitals (MOs). The MO-based JAGP ansatz allows one to rigorously treat electron transitions, such as the HOMO → LUMO one, which underlies the 1La excited state. We present a QMC optimization scheme able to preserve the rank of the antisymmetrized geminal power matrix, thanks to a constrained minimization with projectors built upon symmetry selected MOs. We show that this approach leads to stable energy minimization and geometry relaxation of both ground and excited states, performed consistently within the correlated QMC framework. Geometry optimization of excited states is needed to make a reliable and direct comparison with experimental adiabatic excitation energies. This is particularly important in π-conjugated and polycyclic aromatic hydrocarbons, where there is a strong interplay between low-lying energy excitations and structural modifications, playing a functional role in many photochemical processes. Anthracene is an ideal benchmark to test these effects. Its geometry relaxation energies upon electron excitation are of up to 0.3 eV in the neutral 1La excited state, while they are of the order of 0.1 eV in electron addition and removal processes. Significant modifications of the ground state bond length alternation are revealed in the QMC excited state geometry optimizations. Our QMC study yields benchmark results for both geometries and energies, with values below chemical accuracy if compared to experiments, once zero point energy effects are taken into account.
Dupuy, Nicolas; Bouaouli, Samira; Mauri, Francesco; Sorella, Sandro; Casula, Michele
2015-06-07
We study the ionization energy, electron affinity, and the π → π(∗) ((1)La) excitation energy of the anthracene molecule, by means of variational quantum Monte Carlo (QMC) methods based on a Jastrow correlated antisymmetrized geminal power (JAGP) wave function, developed on molecular orbitals (MOs). The MO-based JAGP ansatz allows one to rigorously treat electron transitions, such as the HOMO → LUMO one, which underlies the (1)La excited state. We present a QMC optimization scheme able to preserve the rank of the antisymmetrized geminal power matrix, thanks to a constrained minimization with projectors built upon symmetry selected MOs. We show that this approach leads to stable energy minimization and geometry relaxation of both ground and excited states, performed consistently within the correlated QMC framework. Geometry optimization of excited states is needed to make a reliable and direct comparison with experimental adiabatic excitation energies. This is particularly important in π-conjugated and polycyclic aromatic hydrocarbons, where there is a strong interplay between low-lying energy excitations and structural modifications, playing a functional role in many photochemical processes. Anthracene is an ideal benchmark to test these effects. Its geometry relaxation energies upon electron excitation are of up to 0.3 eV in the neutral (1)La excited state, while they are of the order of 0.1 eV in electron addition and removal processes. Significant modifications of the ground state bond length alternation are revealed in the QMC excited state geometry optimizations. Our QMC study yields benchmark results for both geometries and energies, with values below chemical accuracy if compared to experiments, once zero point energy effects are taken into account.
Dupuy, Nicolas, E-mail: nicolas.dupuy@impmc.upmc.fr [Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, Université Pierre et Marie Curie, case 115, 4 place Jussieu, 75252 Paris Cedex 05 (France); Bouaouli, Samira, E-mail: samira.bouaouli@lct.jussieu.fr [Laboratoire de Chimie Théorique, Université Pierre et Marie Curie, case 115, 4 place Jussieu, 75252 Paris Cedex 05 (France); Mauri, Francesco, E-mail: francesco.mauri@impmc.upmc.fr; Casula, Michele, E-mail: michele.casula@impmc.upmc.fr [CNRS and Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, Université Pierre et Marie Curie, case 115, 4 place Jussieu, 75252 Paris Cedex 05 (France); Sorella, Sandro, E-mail: sorella@sissa.it [International School for Advanced Studies (SISSA), Via Beirut 2-4, 34014 Trieste, Italy and INFM Democritos National Simulation Center, Trieste (Italy)
2015-06-07
We study the ionization energy, electron affinity, and the π → π{sup ∗} ({sup 1}L{sub a}) excitation energy of the anthracene molecule, by means of variational quantum Monte Carlo (QMC) methods based on a Jastrow correlated antisymmetrized geminal power (JAGP) wave function, developed on molecular orbitals (MOs). The MO-based JAGP ansatz allows one to rigorously treat electron transitions, such as the HOMO → LUMO one, which underlies the {sup 1}L{sub a} excited state. We present a QMC optimization scheme able to preserve the rank of the antisymmetrized geminal power matrix, thanks to a constrained minimization with projectors built upon symmetry selected MOs. We show that this approach leads to stable energy minimization and geometry relaxation of both ground and excited states, performed consistently within the correlated QMC framework. Geometry optimization of excited states is needed to make a reliable and direct comparison with experimental adiabatic excitation energies. This is particularly important in π-conjugated and polycyclic aromatic hydrocarbons, where there is a strong interplay between low-lying energy excitations and structural modifications, playing a functional role in many photochemical processes. Anthracene is an ideal benchmark to test these effects. Its geometry relaxation energies upon electron excitation are of up to 0.3 eV in the neutral {sup 1}L{sub a} excited state, while they are of the order of 0.1 eV in electron addition and removal processes. Significant modifications of the ground state bond length alternation are revealed in the QMC excited state geometry optimizations. Our QMC study yields benchmark results for both geometries and energies, with values below chemical accuracy if compared to experiments, once zero point energy effects are taken into account.
Research on Bounded Rationality of Fuzzy Choice Functions
Xinlin Wu
2014-01-01
Full Text Available The rationality of a fuzzy choice function is a hot research topic in the study of fuzzy choice functions. In this paper, two common fuzzy sets are studied and analyzed in the framework of the Banerjee choice function. The complete rationality and bounded rationality of fuzzy choice functions are defined based on the two fuzzy sets. An assumption is presented to study the fuzzy choice function, and especially the fuzzy choice function with bounded rationality is studied combined with some rationality conditions. Results show that the fuzzy choice function with bounded rationality also satisfies some important rationality conditions, but not vice versa. The research gives supplements to the investigation in the framework of the Banerjee choice function.
A REMARK ON IMPLICITIZING RATIONAL CURVES WITH BASE POINTS
CHENFALAI
1998-01-01
A simple relationship between the Bezout matrix corresponding to a rational curve with base points and the Bezout matrix corresponding to the same rational curve except that whose base points are eliminated is clarified. Based on this relationship,the author proves that the implicit equation of a rational curve with base points is the largest rton-zero leading principal minor of the gezout resultant corresponding to the rational curve assuming that the rational curve doesn't have triva/base point 0,and thus provides a simple approach to Jmplicitze rational curves with base points. Furthermore，as a by-product ，art algorithm is presented to compute the base points of a rational curve.
Schwerdt, R
2005-08-01
The intraprofessional discourse about economical aspects in nursing from an ethical point of view has not taken place yet. To cope with the increasing restriction of resources, some preconditions have to be met: It is necessary to communicate issues in rationalizing and rationing in nursing openly. Person-oriented criteria in the nursing process indicate a high level of competence and user-oriented quality in nursing care. But nursing professionals do not decide in favor or against resources to perform this task on a high or poor quality level. Democratic decision-making on providing nursing services depends on a continuous societal discourse about allocation criteria.
A new family of four-dimensional symplectic and integrable mappings
Capel, H.W.; Sahadevan, R.
2001-01-01
We investigate the generalisations of the Quispel, Roberts and Thompson (QRT) family of mappings in the plane leaving a rational quadratic expression invariant to the case of four variables. We assume invariance of the rational expression under a cyclic permutation of variables and we impose a sympl
,
2008-01-01
The U.S. Geological Survey (USGS) produced its first topographic map in 1879, the same year it was established. Today, more than 100 years and millions of map copies later, topographic mapping is still a central activity for the USGS. The topographic map remains an indispensable tool for government, science, industry, and leisure. Much has changed since early topographers traveled the unsettled West and carefully plotted the first USGS maps by hand. Advances in survey techniques, instrumentation, and design and printing technologies, as well as the use of aerial photography and satellite data, have dramatically improved mapping coverage, accuracy, and efficiency. Yet cartography, the art and science of mapping, may never before have undergone change more profound than today.
Innovative process rational choice grounding in organization
S.M. Illiashenko
2015-06-01
Full Text Available The aim of the article. The aim of the article is to investigate and scientifically to ground recommendations concerning choice of the rational structure and innovative process content, depending on innovative development potential in the organization and innovation radicalization degree, which provides to coordinate interconnection between SRCCW and innovations marketing at its stages for various innovative business types. The results of the analysis. The generalized scheme of organization innovative activity is investigated. It characterizes interconnections between innovative process, innovative business and innovative strategies types. The peculiarities of the works conduct concerning innovative process distinguished types are confirmed by scheme: works essence, type (types of the innovative business, innovative strategy (strategies, which is realized. Recommendations concerning works conduct reasonability of the several stages in the innovative process for organizations, which have innovative business combined type, are suggested. Essence and content of SRRCW works and innovations marketing works are confirmed at the innovative and life cycle stages of the new product. Table of decisions is developed to choose innovative process variants, which are reasonably to realize by concrete organization, depending on subsystems constituents state of its innovative development potential and innovative product radicalization degree. The enlarged block-scheme of the algorithm to choose rational structure in the innovative process within one or every innovative projects, realized by organization, is investigated. The recommendations concerning estimation of the innovative processes possible simultaneous conduct with various or similar variants of the innovative process structures by formal procedures are developed. Conclusions and directions of further researches. Author’s studies together allow to increase validity and decrease risk to choose
Are investors rational, irrational or normal?
Md Al Mamun
2015-08-01
Full Text Available The nature of investor’s rationality vs. irrationality debate drawn attention of thousands of academic papers, hundreds of conferences, roundtables discussion leading to two ends: the classical theorist i.e. the proponents of efficient market hypothesis (EMH and the behaviorist. From Fisher’s (1906 Nature of Capital & Income to Ross (1977; investor’s rationality has been considered as the principal assumption in the development of theoretical finance. Unfortunately though, various studies have shown repeated form of investor’s irrationality and incompetence in their decision process. Even the very proponents of EMH, Fama (1965 has later on in 1993 advocated the lack of market efficiency! Indeed the story of black Monday in the USA to the global financial tsunami (2007-2012 has put the proponents of EMH into the cluelessness. While, the behaviorists argument that the financial markets can be best understood by studying the psychology is also subject to criticism that there will be no existence of standard models to study agent’s behavior in the market! Therefore, this study aims at finding out the true scenarios of investor’s behavior by working on 200 individual investors in Dhaka Stock Exchange (DSE. Investors’ response to different questions relating to fundamental assumption of “rationality’ or ‘presence of irrationality." The result shows a complete absence of the assumption of rationality or irrationality in number of critical issues. Therefore, the idea of EMH or mere psychologically driven behavioral finance should become less acknowledgeable in understanding the agents of financial market i.e. the investors. Rather a combination of these two may give more insight in understanding the investor’s behavior in the financial market.
Rationally engineering natural protein assemblies in nanobiotechnology.
Howorka, Stefan
2011-08-01
Multimeric protein assemblies are essential components in viruses, bacteria, eukaryotic cells, and organisms where they act as cytoskeletal scaffold, storage containers, or for directional transport. The bottom-up structures can be exploited in nanobiotechnology by harnessing their built-in properties and combining them with new functional modules. This review summarizes the design principles of natural protein assemblies, highlights recent progress in their structural elucidation, and shows how rational engineering can create new biomaterials for applications in vaccine development, biocatalysis, materials science, and synthetic biology.
Ananyeva Rational antibiotic use in rheumatology
Boris Sergeyevich Belov
2012-06-01
Full Text Available To control infections and infectious complications is one of the most urgent challenges in medicine under present-day conditions. At the same time, rational therapy with anti-infective drugs occupies a highly importance place. In rheumatology, the necessity of using antibiotics is associated with at least two factors, such as eradication of a pathogen trigger (an infectious agent that triggers the immunopathological mechanisms of inflammation and treatment of comorbid infection. The paper gives information on etiological agents and detailed antimicrobial therapy regimens for the major infections observed in modern rheumatology.
TETRAHEDRAL Cm INTERPOLATION BY RATIONAL FUNCTIONS
Guo-liang Xu; Chuan I Chu; Wei-min Xue
2001-01-01
A general local Cm(m ≥ 0) tetrahedral interpolation scheme bypolynomials of degree 4m + l plus low order rational functions from the given data is proposed. The scheme can have either 4m + l order algebraic precision if C2m data at vertices and Cm data on faces are given or k + E[k/3] + 1 order algebraic precision if Ck (k ≤ 2m) data are given at vertices. The resulted interpolant and its partial derivatives of up to order m are polynomials on the boundaries of the tetrahedra.
Rational interpretation of the postulates in plasticity
Bohua Sun
2014-01-01
Full Text Available This article is mainly focussed on revisited of the two well-known postulates of plasticity, i.e., the Drucker and the Il’iushin postulate, and it describes their rational interpretation within the framework of irreversible thermodynamics and using exterior calculus. It shows that the Il’iushin and the Drucker postulate is the integral form and local form of the irreversible thermodynamics of plastic deformation, respectively. The Drucker and Il’iushin postulate is equivalent for both soft and hardening materials.
Multiple Equilibria in Noisy Rational Expectations Economies
Palvolgyi, Domotor; Venter, Gyuri
This paper studies equilibrium uniqueness in standard noisy rational expectations economies with asymmetric or differential information a la Grossman and Stiglitz (1980) and Hellwig (1980). We show that the standard linear equilibrium of Grossman and Stiglitz (1980) is the unique equilibrium......-sloping” demand curves, (iv) higher prices leading to future returns that are higher in expectation (price drift) and (v) more positively skewed. Discontinuous equilibria can be arbitrarily close to being fully-revealing. Finally, discontinuous equilibria with the same construction also exist in Hellwig (1980)....
Valuation models and Simon's bounded rationality
Alexandra Strommer de Farias Godoi
2009-09-01
Full Text Available This paper aims at reconciling the evidence that sophisticated valuation models are increasingly used by companies in their investment appraisal with the literature of bounded rationality, according to which objective optimization is impracticable in the real world because it would demand an immense level of sophistication of the analytical and computational processes of human beings. We show how normative valuation models should rather be viewed as forms of reality representation, frameworks according to which the real world is perceived, fragmented for a better understanding, and recomposed, providing an orderly method for undertaking a task as complex as the investment decision.
Rational defect introduction in silicon nanowires.
Shin, Naechul; Chi, Miaofang; Howe, Jane Y; Filler, Michael A
2013-05-08
The controlled introduction of planar defects, particularly twin boundaries and stacking faults, in group IV nanowires remains challenging despite the prevalence of these structural features in other nanowire systems (e.g., II-VI and III-V). Here we demonstrate how user-programmable changes to precursor pressure and growth temperature can rationally generate both transverse twin boundaries and angled stacking faults during the growth of oriented Si nanowires. We leverage this new capability to demonstrate prototype defect superstructures. These findings yield important insight into the mechanism of defect generation in semiconductor nanowires and suggest new routes to engineer the properties of this ubiquitous semiconductor.
Rational economic strategy and entropic analysis
Allred, J.C.; Howard, H.H.
1978-01-01
The neglect of entropic changes of energy and matter in the economic process leads to incorrect formulation of economic theory, as was first pointed out by the economist, Nicholas Georgescu-Roegen. Entropic analysis, that is, the reckoning of entropic changes in real-world processes, appears to be a useful guide toward a realistic understanding of the economic process. The example chosen here is the choice between natural gas and coal as fossil fuel. An outline of the necessary analysis is discussed, together with the requirements of rational economic strategy.
Obesity, social inequality and economic rationality
Dam, Thea; Jensen, Jørgen Dejgård; Kærgård, Niels
2008-01-01
' utility maximisation behaviour, which all may contribute to explain the ongoing rise in obesity prevalence in many western countries. In addition to standard neoclassical explanations of obesity, we discuss moral hazard aspects, the role of network externalities, self-control problems and habitual......This paper reviews the economic literature related to obesity and consumer decisions, pursuing the overall question, whether the current obesity epidemic and its social bias can be viewed as a result of rational consumption behaviour. We address a number of potential explanations based on consumers...
The Gross conjecture over rational function fields
OUYANG; Yi
2005-01-01
We study the Gross conjecture for the cyclotomic function field extension k(∧f)/k where k = Fq(t) is the rational function field and f is a monic polynomial in Fq[t].We prove the conjecture in the Fermat curve case(i.e., when f = t(t - 1)) by a direct calculation. We also prove the case when f is irreducible, which is analogous to the Weil reciprocity law. In the general case, we manage to show the weak version of the Gross conjecture here.
Torus knots and the rational DAHA
Gorsky, Eugene; Rasmussen, Jacob; Shende, Vivek
2012-01-01
We conjecturally extract the triply graded Khovanov-Rozansky homology of the (m, n) torus knot from the unique finite dimensional simple representation of the rational DAHA of type A, rank n - 1, and central character m/n. The conjectural differentials of Gukov, Dunfield and the third author receive an explicit algebraic expression in this picture, yielding a prescription for the doubly graded Khovanov-Rozansky homologies. We match our conjecture to previous conjectures of the first author relating knot homology to q, t-Catalan numbers, and of the last three authors relating knot homology to Hilbert schemes on singular curves.
The latent rationality of risky decisions
Japp, K.P. [Bielefeld Univ. (Germany). Faculty for Sociology
1999-12-01
The general question of rationality has changed from the old-fashioned difference of means and ends to the modern difference of system and environment. Organizations as social systems producing and reproducing decisions translate this difference into the difference of stability and variety. The question then is: In which way can the difference between stability and variety express rationality? - In the temporal dimension of risk-taking, re-entries may be expressed as 'present futures' or 'future presences'. These expressions indicate both: The irresolvable uncertainty of any risk-taking, indicated by open futures, and its boundedness by self-application of distinctions, e.g. projected futures from the background of a known past. - In the material dimension of risk-taking, re-entries may be expressed as 'stable flexibility' or 'flexible stability'. Again, these expressions indicate both: The irresolvable uncertainty of any risk-taking, indicted by open flexibilities, and its boundedness by self-application of distinctions, e.g. flexibility and stability after learning the respective costs of the single options. In the social dimension of risk-taking, re-entries may be expressed as 'pragmatic dissent' or 'controversial pragmatism'. Again, these expressions indicate both: The irresolvable uncertainty of any risk-taking, indicated by open dissent or controversies, and its boundedness by self-application of distinctions, e.g. pragmatic agreements and irresolvable dissent. Again, all three asymmetries represent re-entries. The built-in preferences simply do not work without the subtleties of re-entries, at least when these processes are described by sociologically informed observers. Who else should know that he or she is operating on the basis of something called re-entries? In everyday life communication, no one sees a thing like that since every observation has an in-built bias for one side of a distinction
Orthorhombic rational approximants for decagonal quasicrystals
S Ranganathan; Anandh Subramaniam
2003-10-01
An important exercise in the study of rational approximants is to derive their metric, especially in relation to the corresponding quasicrystal or the underlying clusters. Kuo’s model has been the widely accepted model to calculate the metric of the decagonal approximants. Using an alternate model, the metric of the approximants and other complex structures with the icosahedral cluster are explained elsewhere. In this work a comparison is made between the two models bringing out their equivalence. Further, using the concept of average lattices, a modified model is proposed.
Lying for the Greater Good: Bounded Rationality in a Team
Oktay Sürücü
2014-10-01
Full Text Available This paper is concerned with the interaction between fully and boundedly rational agents in situations where their interests are perfectly aligned. The cognitive limitations of the boundedly rational agent do not allow him to fully understand the market conditions and lead him to take non-optimal decisions in some situations. Using categorization to model bounded rationality, we show that the fully rational agent can nudge, i.e., he can manipulate the information he sends and decrease the expected loss caused by the boundedly rational agent. Assuming different types for the boundedly rational agent, who differ only in the categories used, we show that the fully rational agent may learn the type of the boundedly rational agent along their interaction. Using this additional information, the outcome can be improved and the amount of manipulated information can be decreased. Furthermore, as the length of the interaction increases the probability that the fully rational agent learns the type of the boundedly rational agent grows
Decision rules and group rationality: cognitive gain or standstill?
Petru Lucian Curşeu
Full Text Available Recent research in group cognition points towards the existence of collective cognitive competencies that transcend individual group members' cognitive competencies. Since rationality is a key cognitive competence for group decision making, and group cognition emerges from the coordination of individual cognition during social interactions, this study tests the extent to which collaborative and consultative decision rules impact the emergence of group rationality. Using a set of decision tasks adapted from the heuristics and biases literature, we evaluate rationality as the extent to which individual choices are aligned with a normative ideal. We further operationalize group rationality as cognitive synergy (the extent to which collective rationality exceeds average or best individual rationality in the group, and we test the effect of collaborative and consultative decision rules in a sample of 176 groups. Our results show that the collaborative decision rule has superior synergic effects as compared to the consultative decision rule. The ninety one groups working in a collaborative fashion made more rational choices (above and beyond the average rationality of their members than the eighty five groups working in a consultative fashion. Moreover, the groups using a collaborative decision rule were closer to the rationality of their best member than groups using consultative decision rules. Nevertheless, on average groups did not outperformed their best member. Therefore, our results reveal how decision rules prescribing interpersonal interactions impact on the emergence of collective cognitive competencies. They also open potential venues for further research on the emergence of collective rationality in human decision-making groups.
Schizophrenia, mental capacity, and rational suicide.
Hewitt, Jeanette
2010-02-01
A diagnosis of schizophrenia is often taken to denote a state of global irrationality within the psychiatric paradigm, wherein psychotic phenomena are seen to equate with a lack of mental capacity. However, the little research that has been undertaken on mental capacity in psychiatric patients shows that people with schizophrenia are more likely to experience isolated, rather than constitutive, irrationality and are therefore not necessarily globally incapacitated. Rational suicide has not been accepted as a valid choice for people with schizophrenia due in part to a belief that characteristic irrationality prevents autonomous decision-making. Since people with schizophrenia are often seen to lack insight into the nature of their disorder, both psychiatric and ethical perspectives generally presume that suicidal acts result directly from mental illness itself and not from second-order desires. In this article, I challenge notions of global irrationality conferred by a diagnosis of schizophrenia and argue that, where delusional beliefs are unifocal, schizophrenia does not necessarily lead to a state of mental incapacity. I then attempt to show that people with schizophrenia can sometimes be rational with regard to suicide, where this decision stems from a realistic appraisal of psychological suffering.
A rational treatment of Mendelian genetics
Porteous John W
2004-08-01
Full Text Available Abstract Background The key to a rational treatment of elementary Mendelian genetics, specifically to an understanding of the origin of dominant and recessive traits, lies in the facts that: (1 alleles of genes encode polypeptides; (2 most polypeptides are catalysts, i.e. enzymes or translocators; (3 the molecular components of all traits in all cells are the products of systems of enzymes, i.e. of fluxing metabolic pathways; (4 any flux to the molecular components of a trait responds non-linearly (non-additively to graded mutations in the activity of any one of the enzymes at a catalytic locus in a metabolic system; (5 as the flux responds to graded changes in the activity of an enzyme, the concentrations of the molecular components of a trait also change. Conclusions It is then possible to account rationally, and without misrepresenting Mendel, for: the origin of dominant and recessive traits; the occurrence of Mendel's 3(dominant:1(recessive trait ratio; deviations from this ratio; the absence of dominant and recessive traits in some circumstances, the occurrence of a blending of traits in others; the frequent occurrence of pleiotropy and epistasis.
Patterns in rational base number systems
Morgenbesser, Johannes F; Thuswaldner, Jörg
2012-01-01
Number systems with a rational number $a/b > 1$ as base have gained interest in recent years. In particular, relations to Mahler's 3/2-problem as well as the Josephus problem have been established. In the present paper we show that the patterns of digits in the representations of positive integers in such a number system are uniformly distributed. We study the sum-of-digits function of number systems with rational base $a/b$ and use representations w.r.t. this base to construct normal numbers in base $a$ in the spirit of Champernowne. The main challenge in our proofs comes from the fact that the language of the representations of integers in these number systems is not context-free. The intricacy of this language makes it impossible to prove our results along classical lines. In particular, we use self-affine tiles that are defined in certain subrings of the ad\\'ele ring $\\mathbb{A}_\\mathbb{Q}$ and Fourier analysis in $\\mathbb{A}_\\mathbb{Q}$. With help of these tools we are able to reformulate our results as ...
Rational decision-making in inhibitory control
Pradeep eShenoy
2011-05-01
Full Text Available An important aspect of cognitive flexibility is inhibitory control, the ability to dynamically modify or cancel planned actions in response to changes in the sensory environment or task demands. We formulate a probabilistic, rational decision-making framework for inhibitory control in the well-studied stop signal paradigm. Our model posits that subjects maintain a Bayes-optimal, continually updated representation of sensory inputs, and repeatedly assess the relative value of stopping and going on a fine temporal scale, in order to make an optimal decision on when and whether to go on each trial. We further posit that they implement this continual evaluation with respect to a global objective function capturing the various reward and penalties associated with different behavioral outcomes, such as speed and accuracy, or the relative costs of stop errors and go errors. We demonstrate that our rational decision-making model naturally gives rise to basic behavioral characteristics consistently observed for this paradigm, as well as more subtle effects due to contextual factors such as reward contingencies or motivational factors. Furthermore, we show that the classical race model can be seen as a computationally simpler, perhaps neurally plausible, approximation to optimal decision-making. This conceptual link allows us to predict how the parameters of the race model, such as the stopping latency, should change with task parameters and individual experiences/ability.
Liberal rationalism and medical decision-making.
Savulescu, Julian
1997-04-01
I contrast Robert Veatch's recent liberal vision of medical decision-making with a more rationalist liberal model. According to Veatch, physicians are biased in their determination of what is in their patient's overall interests in favour of their medical interests. Because of the extent of this bias, we should abandon the practice of physicians offering what they guess to be the best treatment option. Patients should buddy up with physicians who share the same values -- 'deep value pairing'. The goal of choice is maximal promotion of patient values. I argue that if subjectivism about value and valuing is true, this move is plausible. However, if objectivism about value is true -- that there really are states which are good for people regardless of whether they desire to be in them -- then we should accept a more rationalist liberal alternative. According to this alternative, what is required to decide which course is best is rational dialogue between physicians and patients, both about the patient's circumstances and her values, and not the seeking out of people, physicians or others, who share the same values. Rational discussion requires that physicians be reasonable and empathic. I describe one possible account of a reasonable physician.
Rational decision-making in inhibitory control.
Shenoy, Pradeep; Yu, Angela J
2011-01-01
An important aspect of cognitive flexibility is inhibitory control, the ability to dynamically modify or cancel planned actions in response to changes in the sensory environment or task demands. We formulate a probabilistic, rational decision-making framework for inhibitory control in the stop signal paradigm. Our model posits that subjects maintain a Bayes-optimal, continually updated representation of sensory inputs, and repeatedly assess the relative value of stopping and going on a fine temporal scale, in order to make an optimal decision on when and whether to go on each trial. We further posit that they implement this continual evaluation with respect to a global objective function capturing the various reward and penalties associated with different behavioral outcomes, such as speed and accuracy, or the relative costs of stop errors and go errors. We demonstrate that our rational decision-making model naturally gives rise to basic behavioral characteristics consistently observed for this paradigm, as well as more subtle effects due to contextual factors such as reward contingencies or motivational factors. Furthermore, we show that the classical race model can be seen as a computationally simpler, perhaps neurally plausible, approximation to optimal decision-making. This conceptual link allows us to predict how the parameters of the race model, such as the stopping latency, should change with task parameters and individual experiences/ability.
Modern liberalism, female circumcision, and the rationality of traditions.
Bishop, Jeffrey P
2004-08-01
Tolerance is at the heart of Western liberalism, permitting mutually exclusive ideas and practices to coexist peacefully with one another, without the proponents of the differing ideas and practices killing one another. Yet, nothing challenges tolerance like the practice of sunna, female circumcision, clitorectomy, or genital mutilation. In this essay, I critique the Western critics of the practices, not in order to defend these practices, but rather to show that Western liberalism itself does not offer transcultural and transtemporal principles, for these principles only cohere within the tradition of liberalism. The Western critique of sunna often maps onto the bodies of African women Western symbolic notions of sexual and political freedom, as symbolized in the clitoris. The practices of sunna cohere within the web of beliefs, the tradition, of those who practice them and, thus, are rationally justified within those traditions. I offer Alasdair MacIntyre's notion of moral inquiry as a guide through the complex world of cultural and moral dialogue between differing traditions.
The Rationalization of Automatic Units for HPDC Technology
A. Herman
2012-04-01
Full Text Available The paper deals with problem of optimal used automatic workplace for HPDC technology - mainly from aspects of operations sequence, efficiency of work cycle and planning of using and servicing of HPDC casting machine. Presented are possible ways to analyse automatic units for HPDC. The experimental part was focused on the rationalization of the current work cycle time for die casting of aluminium alloy. The working place was described in detail in the project. The measurements were carried out in detail with the help of charts and graphs mapped cycle of casting workplace. Other parameters and settings have been identified.The proposals for improvements were made after the first measurements and these improvements were subsequently verified. The main actions were mainly software modifications of casting center. It is for the reason that today's sophisticated workplaces have the option of a relatively wide range of modifications without any physical harm to machines themselves. It is possible to change settings or unlock some unsatisfactory parameters.
Rational and moral action : a critical survey of rational choice theory
de Jonge, J.P.R.
2009-01-01
This book is about rational choice theory from a different point of view. It is different for three reasons. First, it pays attention to the unintended consequences of intended actions. Second, it employs a non-instrumental approach to moral actions. And third, it argues that choice opportunities ma
Rational and moral action : a critical survey of rational choice theory
de Jonge, J.P.R.
2009-01-01
This book is about rational choice theory from a different point of view. It is different for three reasons. First, it pays attention to the unintended consequences of intended actions. Second, it employs a non-instrumental approach to moral actions. And third, it argues that choice opportunities ma
Denis Wood
2015-01-01
This is a description of an avant la lettre deep mapping project carried out by a geographer and a number of landscape architecture students in the early 1980s. Although humanists seem to take the “mapping” in deep mapping more metaphorically than cartographically, in this neighborhood mapping project, the mapmaking was taken literally, with the goal of producing an atlas of the neighborhood. In this, the neighborhood was construed as a transformer, turning the stuff of the world (gas, wate...
Narkiewicz, Wŀadysŀaw
1995-01-01
The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. The second part deals with fully invariant sets of polynomial mappings F in one or several variables, i.e. sets X satisfying F(X)=X . This includes in particular a study of cyclic points of such mappings in the case of rings of algebrai integers. The text contains several exercises and a list of open problems.
Salovaara-Moring, Inka
2016-01-01
practice. In particular, mapping environmental damage, endangered species, and human-made disasters has become one focal point for environmental knowledge production. This type of digital map has been highlighted as a processual turn in critical cartography, whereas in related computational journalism...... of a geo-visualization within information mapping that enhances embodiment in the experience of the information. InfoAmazonia is defined as a digitally created map-space within which journalistic practice can be seen as dynamic, performative interactions between journalists, ecosystems, space, and species...
Bethe ansatz and Isomonodromic deformations
Talalaev, D
2008-01-01
We study symmetries of the Bethe equations for the Gaudin model appeared naturally in the framework of the geometric Langlands correspondence under the name of Hecke operators and under the name of Schlesinger transformations in the theory of isomonodromic deformations, and particularly in the theory of Painlev\\'e transcendents.
MOK Ngaiming
2008-01-01
In 1993,Tsai proved that a proper holomorphic mapping f : Ω→Ω' from an irreducible bounded symmetric domain Ω of rank ≥ 2 into a bounded symmetric domain Ω' is necessarily totally geodesic provided that r' : = rank(Ω') ≤ rank(Ω) := r,proving a conjecture of the author's motivated by Hermitian metric rigidity.As a first step in the proof,Tsai showed that df preserves almost everywhere the set of tangent vectors of rank 1.Identifying bounded symmetric domains as open subsets of their compact duals by means of the Borel embedding,this means that the germ of f at a general point preserves the varieties of minimal rational tangents (VMRTs).In another completely different direction Hwang-Mok established with very few exceptions the Cartan-Fubini extension priniciple for germs of local biholomorphisms between Fano manifolds of Picard num-ber 1,showing that the germ of map extends to a global biholomorphism provided that it preserves VMRTs.We propose to isolate the problem of characterization of special holomorphic embeddings between Fano manifolds of Picard number 1,especially in the case of classical manifolds such as ratio-nal homogeneous spaces of Picard number 1,by a non-equidimensional analogue of the Cartan-Fubini extension principle.As an illustration we show along this line that standard embeddings between com-plex Grassmahn manifolds of rank ≤ 2 can be characterized by the VMRT-preserving property and a non-degeneracy condition,giving a new proof of a result of Neretin's which on the one hand paves the way for far-reaching generalizations to the context of rational homogeneous spaces and more generally Fano manifolds of Picard number 1,on the other hand should be applicable to the study of proper holomorphic mappings between bounded domains carrying some form of geometric structures.
Milnor open books of links of some rational surface singularities
Özbağcı, Burak; Bhupal, Mohan
2011-01-01
Pacific Journal of Mathematics MILNOR OPEN BOOKS OF LINKS OF SOME RATIONAL SURFACE SINGULARITIES MOHAN BHUPAL AND BURAK OZBAGCI Volume 254 No. 1 November 2011 PACIFIC JOURNAL OF MATHEMATICS Vol. 254, No. 1, 2011 MILNOR OPEN BOOKS OF LINKS OF SOME RATIONAL SURFACE SINGULARITIES MOHAN BHUPAL AND BURAK OZBAGCI We determine Legendrian surgery diagrams for the canonical contact struc-tures of links of rational surface singularities that are also small Seifert...
Cassapro in broiler ration : effect of halquinol Supplementation
I.P Kompiang; A.P Sinurat; T Purwadaria; J Darma; Supriyati
1997-01-01
A trial was conducted to determine the effect of various level of cassapro (fermented cassava) and halquinol supplementation on the performance of broiler chickens . Experimental rations were formulated isoprotein and isoenergy with graded level of cassapro (0, 10, 20 and 30%) . The 20 and 30% cassapro ration were prepared without and with halquinol supplementation (60 ppm). Each ration was fed to 40 of three day old broilers, divided into 4 cages ( 5 males and 5 females per cage) for 4 weeks...
Production performance of quails given chromium organic in ration
Deden Sudrajat; Dede Kardaya; E. Dihansih; SFS Puteri
2014-01-01
Egg production of quails depends on quality of ration. Nutrient manipulation by chromiun inclusion in ration is a possible way to improve production. It is known that chromium mineral in form of GTF in blood has a role not only in enhancement of glucose entering cells through improvement of insulin activity but also in metabolism of lipid and synthesis of protein and elimination of heat stress to improve egg production. This study aimed at assessing egg production of quails fed ration contai...
Evidence of Rational Addiction to Carbonated Soft Drinks?
Rigoberto A. Lopez; Xiaoou Liu
2012-01-01
The purpose of this paper is to apply the Becker-Murphy theory of rational addiction to the case of carbonated soft drinks. The research aims to reveal the rational addiction evidence of carbonated soft drinks and derive policy implications under this evidence. Consumers' rational addictive evidence for carbonated soft drinks provides a warning for the Chinese government to regulate the industry, due to its bad health consequences. – The authors empirically apply a time-varying parameter mode...
Rational equivariant K-homology of low dimensional groups
Lafont, Jean-François; Sánchez-García, Rubén J
2011-01-01
We consider groups G which have a cocompact, 3-manifold model for the classifying space \\underline{E}G. We provide an algorithm for computing the rationalized equivariant K-homology of \\underline{E}G. Under the additional hypothesis that the quotient 3-orbifold \\underline{E}G/G is geometrizable, the rationalized K-homology groups coincide with the rationalized K-theory of the reduced C*-algebra of G. We illustrate our algorithm on some concrete examples.
Approximation of quadrilaterals by rational quadrilaterals in the plane
2017-02-01
Many questions about triangles and quadrilaterals with rational sides, diagonals and areas can be reduced to solving certain diophantine equations. We look at a number of such questions including the question of approximating arbitrary triangles and quadrilaterals by those with rational sides, diagonals and areas. We transform these problems into questions on the existence of infinitely many rational solutions on a two parameter family of quartic curves. This is further transformed to a two parameter family of elliptic curves to deduce our main result concerning density of points on a line which are at a rational distance from three collinear points (Theorem 4). We deducefrom this a new proof of density of rational quadrilaterals in the space of all quadrilaterals (Theorem 39). The other main result (Theorem 3) of this article is on the density of rational triangles which is related to analyzing rational points on the unit circle. Interestingly, this enables us to deduce that parallelograms with rational sides and area are dense in the class of all parallelograms. We also give a criterion for density of certain sets in topological spaces using local product structure and prove the density Theorem 6 in the appendix section. An application of this proves the density of rational points as stated in Theorem 31.