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Sample records for neumann-neumann schur complement

  1. Von Neumann algebras as complemented subspaces of B(H)

    DEFF Research Database (Denmark)

    Christensen, Erik; Wang, Liguang

    2014-01-01

    Let M be a von Neumann algebra of type II1 which is also a complemented subspace of B( H). We establish an algebraic criterion, which ensures that M is an injective von Neumann algebra. As a corollary we show that if M is a complemented factor of type II1 on a Hilbert space H, then M is injective...

  2. Schur Complement Inequalities for Covariance Matrices and Monogamy of Quantum Correlations.

    Science.gov (United States)

    Lami, Ludovico; Hirche, Christoph; Adesso, Gerardo; Winter, Andreas

    2016-11-25

    We derive fundamental constraints for the Schur complement of positive matrices, which provide an operator strengthening to recently established information inequalities for quantum covariance matrices, including strong subadditivity. This allows us to prove general results on the monogamy of entanglement and steering quantifiers in continuous variable systems with an arbitrary number of modes per party. A powerful hierarchical relation for correlation measures based on the log-determinant of covariance matrices is further established for all Gaussian states, which has no counterpart among quantities based on the conventional von Neumann entropy.

  3. von Neumann Morgenstern Preferences

    DEFF Research Database (Denmark)

    Vind, Karl

    von Neumann Morgenstern utility is generalized to von Neumann Morgenstern preferences. The proof is an application of simple hyperplane theorems......von Neumann Morgenstern utility is generalized to von Neumann Morgenstern preferences. The proof is an application of simple hyperplane theorems...

  4. von Neumann Morgenstern Preferences

    DEFF Research Database (Denmark)

    Vind, Karl

    2000-01-01

    von Neumann Morgenstern utility is generalized to von Neumann Morgenstern preferences. The proof is an application of simple hyperplane theorems......von Neumann Morgenstern utility is generalized to von Neumann Morgenstern preferences. The proof is an application of simple hyperplane theorems...

  5. A comparison of deflation and the balancing Neumann-Neumann preconditioner

    NARCIS (Netherlands)

    Nabben, R.; Vuik, C.

    2004-01-01

    In this paper we compare various preconditioners for the numerical solution of partial differential equations. We compare the well-known balancing Neumann Neumann preconditioner used in domain decomposition methods with a so-called deflation preconditioner. We prove that the effective condition

  6. The Neumann compendium

    CERN Document Server

    Bródy, F

    1995-01-01

    After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence.The results receiving the 1994 Nobel Prizes in economy deeply rooted in Neumann's game theory are only minor traces of his exceptionally broad spectrum of creativity and stimulation.The book is organized by the specific subjects-quantum mechanics, ergodic theory, operator algebra, hydrodynamics, economics, computers, science and society. In a

  7. A note on derivations of Murray–von Neumann algebras

    Science.gov (United States)

    Kadison, Richard V.; Liu, Zhe

    2014-01-01

    A Murray–von Neumann algebra is the algebra of operators affiliated with a finite von Neumann algebra. In this article, we first present a brief introduction to the theory of derivations of operator algebras from both the physical and mathematical points of view. We then describe our recent work on derivations of Murray–von Neumann algebras. We show that the “extended derivations” of a Murray–von Neumann algebra, those that map the associated finite von Neumann algebra into itself, are inner. In particular, we prove that the only derivation that maps a Murray–von Neumann algebra associated with a factor of type II1 into that factor is 0. Those results are extensions of Singer’s seminal result answering a question of Kaplansky, as applied to von Neumann algebras: The algebra may be noncommutative and may even contain unbounded elements. PMID:24469831

  8. A note on derivations of Murray-von Neumann algebras.

    Science.gov (United States)

    Kadison, Richard V; Liu, Zhe

    2014-02-11

    A Murray-von Neumann algebra is the algebra of operators affiliated with a finite von Neumann algebra. In this article, we first present a brief introduction to the theory of derivations of operator algebras from both the physical and mathematical points of view. We then describe our recent work on derivations of Murray-von Neumann algebras. We show that the "extended derivations" of a Murray-von Neumann algebra, those that map the associated finite von Neumann algebra into itself, are inner. In particular, we prove that the only derivation that maps a Murray-von Neumann algebra associated with a factor of type II1 into that factor is 0. Those results are extensions of Singer's seminal result answering a question of Kaplansky, as applied to von Neumann algebras: The algebra may be noncommutative and may even contain unbounded elements.

  9. Baltimaade kunstiajaloo isa : Wilhelm Neumann 150 / Jevgeni Kaljundi

    Index Scriptorium Estoniae

    Kaljundi, Jevgeni, 1931-2011

    1999-01-01

    Wilhelm Neumann ئ iseõppija. Riias: ilmunud uurimused, töö oma projekti järgi ehitatud Läti kunstimuuseumi direktorina. Neumanni vaid Eesti kunstipärandit käsitlevad uurimused. Neumann ئ muinsuskaitsetegevuse algataja Baltimaadel, tema töid muinsuskaitse alal Eestis. W. Neumann arhitektina

  10. Clarifying the link between von Neumann and thermodynamic entropies

    Science.gov (United States)

    Deville, Alain; Deville, Yannick

    2013-01-01

    The state of a quantum system being described by a density operator ρ, quantum statistical mechanics calls the quantity - kTr( ρln ρ), introduced by von Neumann, its von Neumann or statistical entropy. A 1999 Shenker's paper initiated a debate about its link with the entropy of phenomenological thermodynamics. Referring to Gibbs's and von Neumann's founding texts, we replace von Neumann's 1932 contribution in its historical context, after Gibbs's 1902 treatise and before the creation of the information entropy concept, which places boundaries into the debate. Reexamining von Neumann's reasoning, we stress that the part of his reasoning implied in the debate mainly uses thermodynamics, not quantum mechanics, and identify two implicit postulates. We thoroughly examine Shenker's and ensuing papers, insisting upon the presence of open thermodynamical subsystems, imposing us the use of the chemical potential concept. We briefly mention Landau's approach to the quantum entropy. On the whole, it is shown that von Neumann's viewpoint is right, and why Shenker's claim that von Neumann entropy "is not the quantum-mechanical correlate of thermodynamic entropy" can't be retained.

  11. Repulsive Casimir force from fractional Neumann boundary conditions

    International Nuclear Information System (INIS)

    Lim, S.C.; Teo, L.P.

    2009-01-01

    This Letter studies the finite temperature Casimir force acting on a rectangular piston associated with a massless fractional Klein-Gordon field at finite temperature. Dirichlet boundary conditions are imposed on the walls of a d-dimensional rectangular cavity, and a fractional Neumann condition is imposed on the piston that moves freely inside the cavity. The fractional Neumann condition gives an interpolation between the Dirichlet and Neumann conditions, where the Casimir force is known to be always attractive and always repulsive respectively. For the fractional Neumann boundary condition, the attractive or repulsive nature of the Casimir force is governed by the fractional order which takes values from zero (Dirichlet) to one (Neumann). When the fractional order is larger than 1/2, the Casimir force is always repulsive. For some fractional orders that are less than but close to 1/2, it is shown that the Casimir force can be either attractive or repulsive depending on the aspect ratio of the cavity and the temperature.

  12. Spectral theory and quotients in Von Neumann algebras | West ...

    African Journals Online (AJOL)

    In this note we consider to what extent the functional calculus and the spectral theory in von Neumann algebras are preserved by the taking of quotients relative to two-sided ideals of the von Neumann algebra. Keywords:von Neumann algebra, functional calculus, spectral theory, quotient algebras. Quaestiones ...

  13. Neumann and Neumann-Rosochatius integrable systems from membranes on AdS4 x S7

    International Nuclear Information System (INIS)

    Bozhilov, Plamen

    2007-01-01

    It is known that large class of classical string solutions in the type IIB AdS 5 x S 5 background is related to the Neumann and Neumann-Rosochatius integrable systems, including spiky strings and giant magnons. It is also interesting if these integrable systems can be associated with some membrane configurations in M-theory. We show here that this is indeed the case by presenting explicitly several types of membrane embedding in AdS 4 x S 7 with the searched properties

  14. Borel reductibility and classification of von neumann algebras

    DEFF Research Database (Denmark)

    Sasyk, R.; Törnquist, Asger Dag

    2009-01-01

    We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras....

  15. Von Neumann Entropy of an Electron in One-Dimensional Determined Potentials

    Institute of Scientific and Technical Information of China (English)

    GONG Long-Yan; TONG Pei-Qing

    2005-01-01

    @@ By using the measure of von Neumann entropy, we numerically investigate quantum entanglement of an electronmoving in the one-dimensional Harper model and in the one-dimensional slowly varying potential model. Thedelocalized and localized eigenstates can be distinguished by von Neumann entropy of the individual eigenstates.There are drastic decreases in yon Neumann entropy of the individual eigenstates at mobility edges. In the curveof the spectrum averaged yon Neumann entropy as a function of potential parameter λ, a sharp transition existsat the metal-insulator transition point λc = 2. It is found that the yon Neumann entropy is a good quantity toreflect localization and metal-insulator transition.

  16. A bicategorical approach to Morita equivalence for von Neumann algebras

    International Nuclear Information System (INIS)

    Brouwer, R. M.

    2003-01-01

    We relate Morita equivalence for von Neumann algebras to the ''Connes fusion'' tensor product between correspondences. In the purely algebraic setting, it is well known that rings are Morita equivalent if they are equivalent objects in a bicategory whose 1-cells are bimodules. We present a similar result for von Neumann algebras. We show that von Neumann algebras form a bicategory, having Connes's correspondences as 1-morphisms, and (bounded) intertwiners as 2-morphisms. Further, we prove that two von Neumann algebras are Morita equivalent iff they are equivalent objects in the bicategory. The proofs make extensive use of the Tomita-Takesaki modular theory

  17. Pure Jauch-Piron states on von Neumann algebras

    International Nuclear Information System (INIS)

    Hamhalter, J.

    1993-01-01

    We study Jauch-Piron states and two-valued measures on von Neumann algebra. We prove as the main result that, under some set-theoretical assumption, a pure state of a von Neumann algebra A not containing a central abelian portion is Jauch-Piron if and only if it is σ-additive. Moreover, we show that this result holds for type I factor indenpendently on the set-theoretical axiomatics. As a consequence we obtain a lucid characterization of pure Jauch-Piron states on von Neumann algebras acting on a Hilbert space with real-nonmeasurable dimension (this can be viewed as a generalization of the paper). We also characterize the von Neumann algebras whose logic of projections is Jauch-Piron. Finally, we prove that every two-valued measure on the projection logic of A, where A contains no type I 2 central portion, has to be concentrated at an abelian direct summand of A. (orig.)

  18. The classification problem for von Neumann factors

    DEFF Research Database (Denmark)

    Sasyk, R.; Törnquist, Asger Dag

    2009-01-01

    We prove that it is not possible to classify separable von Neumann factors of types II, II or III, 0 ≤ λ ≤ 1, up to isomorphism by a Borel measurable assignment of "countable structures" as invariants. In particular the isomorphism relation of type II factors is not smooth. We also prove...... that the isomorphism relation for von Neumann II factors is analytic, but is not Borel....

  19. Von Neumann's impossibility proof: Mathematics in the service of rhetorics

    Science.gov (United States)

    Dieks, Dennis

    2017-11-01

    According to what has become a standard history of quantum mechanics, in 1932 von Neumann persuaded the physics community that hidden variables are impossible as a matter of principle, after which leading proponents of the Copenhagen interpretation put the situation to good use by arguing that the completeness of quantum mechanics was undeniable. This state of affairs lasted, so the story continues, until Bell in 1966 exposed von Neumann's proof as obviously wrong. The realization that von Neumann's proof was fallacious then rehabilitated hidden variables and made serious foundational research possible again. It is often added in recent accounts that von Neumann's error had been spotted almost immediately by Grete Hermann, but that her discovery was of no effect due to the dominant Copenhagen Zeitgeist. We shall attempt to tell a story that is more historically accurate and less ideologically charged. Most importantly, von Neumann never claimed to have shown the impossibility of hidden variables tout court, but argued that hidden-variable theories must possess a structure that deviates fundamentally from that of quantum mechanics. Both Hermann and Bell appear to have missed this point; moreover, both raised unjustified technical objections to the proof. Von Neumann's argument was basically that hidden-variables schemes must violate the ;quantum principle; that physical quantities are to be represented by operators in a Hilbert space. As a consequence, hidden-variables schemes, though possible in principle, necessarily exhibit a certain kind of contextuality. As we shall illustrate, early reactions to Bohm's theory are in agreement with this account. Leading physicists pointed out that Bohm's theory has the strange feature that pre-existing particle properties do not generally reveal themselves in measurements, in accordance with von Neumann's result. They did not conclude that the ;impossible was done; and that von Neumann had been shown wrong.

  20. An accurate von Neumann's law for three-dimensional foams

    NARCIS (Netherlands)

    Hilgenfeldt, Sascha; Kraynik, Andrew M.; Koehler, Stephan A.; Stone, Howard A.

    2001-01-01

    The diffusive coarsening of 2D soap froths is governed by von Neumann's law. A statistical version of this law for dry 3D foams has long been conjectured. A new derivation, based on a theorem by Minkowski, yields an explicit analytical von Neumann's law in 3D which is in very good agreement with

  1. Properties of von Neumann entropy

    Indian Academy of Sciences (India)

    disentangled) as seen by moving observers, is used to investigate the properties of von Neumann entropy, as a measure of spin–momentum entanglement. To do so, we partition the total Hilbert space into momentum and spin subspaces so that the ...

  2. Neumann Casimir effect: A singular boundary-interaction approach

    International Nuclear Information System (INIS)

    Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D.

    2010-01-01

    Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a δ-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction of an even more singular term, which renders the reflection and transmission coefficients ill-defined because of UV divergences. We present a possible procedure to tame those divergences, by introducing a minimum length scale, related to the nonzero 'width' of a nonlocal term. We then use this setup to reach (either exact or imperfect) Neumann conditions, by taking the appropriate limits. After defining meaningful reflection coefficients, we calculate the Casimir energies for flat parallel mirrors, presenting also the extension of the procedure to the case of arbitrary surfaces. Finally, we discuss briefly how to generalize the worldline approach to the nonlocal case, what is potentially useful in order to compute Casimir energies in theories containing nonlocal potentials; in particular, those which we use to reproduce Neumann boundary conditions.

  3. John von Neumann selected letters

    CERN Document Server

    2005-01-01

    John von Neuman was perhaps the most influential mathematician of the twentieth century, especially if his broad influence outside mathematics is included. Not only did he contribute to almost all branches of mathematics and created new fields, but he also changed post-World War II history with his work on the design of computers and with being a sought-after technical advisor to many figures in the U.S. military-political establishment in the 1940s and 1950s. The present volume is the first substantial collection of (previously mainly unpublished) letters written by von Neumann to colleagues, friends, government officials, and others. The letters give us a glimpse of the thinking of John von Neumann about mathematics, physics, computer science, science management, education, consulting, politics, and war. Readers of quite diverse backgrounds will find much of interest in this fascinating first-hand look at one of the towering figures of twentieth century science.

  4. von Neumann's hypothesis concerning coherent states

    International Nuclear Information System (INIS)

    Zak, J

    2003-01-01

    An orthonormal basis of modified coherent states is constructed. Each member of the basis is an infinite sum of coherent states on a von Neumann lattice. A single state is assigned to each unit cell of area h (Planck constant) in the phase plane. The uncertainties of the coordinate x and the square of the momentum p 2 for these states are shown to be similar to those for the usual coherent states. Expansions in the newly established set are discussed and it is shown that any function in the kq-representation can be written as a sum of two fixed kq-functions. Approximate commuting operators for x and p 2 are defined on a lattice in phase plane according to von Neumann's prescription. (leeter to the editor)

  5. The smooth entropy formalism for von Neumann algebras

    International Nuclear Information System (INIS)

    Berta, Mario; Furrer, Fabian; Scholz, Volkher B.

    2016-01-01

    We discuss information-theoretic concepts on infinite-dimensional quantum systems. In particular, we lift the smooth entropy formalism as introduced by Renner and collaborators for finite-dimensional systems to von Neumann algebras. For the smooth conditional min- and max-entropy, we recover similar characterizing properties and information-theoretic operational interpretations as in the finite-dimensional case. We generalize the entropic uncertainty relation with quantum side information of Tomamichel and Renner and discuss applications to quantum cryptography. In particular, we prove the possibility to perform privacy amplification and classical data compression with quantum side information modeled by a von Neumann algebra

  6. The smooth entropy formalism for von Neumann algebras

    Energy Technology Data Exchange (ETDEWEB)

    Berta, Mario, E-mail: berta@caltech.edu [Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125 (United States); Furrer, Fabian, E-mail: furrer@eve.phys.s.u-tokyo.ac.jp [Department of Physics, Graduate School of Science, University of Tokyo, Tokyo, Japan and Institute for Theoretical Physics, Leibniz University Hanover, Hanover (Germany); Scholz, Volkher B., E-mail: scholz@phys.ethz.ch [Institute for Theoretical Physics, ETH Zurich, Zurich (Switzerland)

    2016-01-15

    We discuss information-theoretic concepts on infinite-dimensional quantum systems. In particular, we lift the smooth entropy formalism as introduced by Renner and collaborators for finite-dimensional systems to von Neumann algebras. For the smooth conditional min- and max-entropy, we recover similar characterizing properties and information-theoretic operational interpretations as in the finite-dimensional case. We generalize the entropic uncertainty relation with quantum side information of Tomamichel and Renner and discuss applications to quantum cryptography. In particular, we prove the possibility to perform privacy amplification and classical data compression with quantum side information modeled by a von Neumann algebra.

  7. Molecular quantum control landscapes in von Neumann time-frequency phase space

    Science.gov (United States)

    Ruetzel, Stefan; Stolzenberger, Christoph; Fechner, Susanne; Dimler, Frank; Brixner, Tobias; Tannor, David J.

    2010-10-01

    Recently we introduced the von Neumann representation as a joint time-frequency description for femtosecond laser pulses and suggested its use as a basis for pulse shaping experiments. Here we use the von Neumann basis to represent multidimensional molecular control landscapes, providing insight into the molecular dynamics. We present three kinds of time-frequency phase space scanning procedures based on the von Neumann formalism: variation of intensity, time-frequency phase space position, and/or the relative phase of single subpulses. The shaped pulses produced are characterized via Fourier-transform spectral interferometry. Quantum control is demonstrated on the laser dye IR140 elucidating a time-frequency pump-dump mechanism.

  8. δ'-function perturbations and Neumann boundary-conditions by path integration

    International Nuclear Information System (INIS)

    Grosche, C.

    1994-02-01

    δ'-function perturbations and Neumann boundary conditions are incorporated into the path integral formalism. The starting point is the consideration of the path integral representation for the one dimensional Dirac particle together with a relativistic point interaction. The non-relativistic limit yields either a usual δ-function or a δ'-function perturbation; making their strengths infinitely repulsive one obtains Dirichlet, respectively Neumann boundary conditions in the path integral. (orig.)

  9. Convergence of the Neumann series in BEM for the Neumann problem of the stokes system

    Czech Academy of Sciences Publication Activity Database

    Medková, Dagmar

    2011-01-01

    Roč. 116, č. 3 (2011), s. 281-304 ISSN 0167-8019 R&D Projects: GA AV ČR IAA100190804 Institutional research plan: CEZ:AV0Z10190503 Keywords : stokes system * Neumann problem * integral equation method Subject RIV: BA - General Mathematics Impact factor: 0.899, year: 2011 http://www.springerlink.com/content/d73174l507577464/

  10. Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems

    NARCIS (Netherlands)

    Austin, T.; Eisner, T.; Tao, T.

    2011-01-01

    The Furstenberg recurrence theorem (or equivalently Szemerédi’s theorem) can be formulated in the language of von Neumann algebras as follows: given an integer k ≥ 2, an abelian finite von Neumann algebra (M,τ) with an automorphism α : M→M, and a nonnegative a in M with τ(a) > 0, one has liminf

  11. Von Neumann entropy in a Rashba-Dresselhaus nanodot; dynamical electronic spin-orbit entanglement

    Science.gov (United States)

    Safaiee, Rosa; Golshan, Mohammad Mehdi

    2017-06-01

    The main purpose of the present article is to report the characteristics of von Neumann entropy, thereby, the electronic hybrid entanglement, in the heterojunction of two semiconductors, with due attention to the Rashba and Dresselhaus spin-orbit interactions. To this end, we cast the von Neumann entropy in terms of spin polarization and compute its time evolution; with a vast span of applications. It is assumed that gate potentials are applied to the heterojunction, providing a two dimensional parabolic confining potential (forming an isotropic nanodot at the junction), as well as means of controlling the spin-orbit couplings. The spin degeneracy is also removed, even at electronic zero momentum, by the presence of an external magnetic field which, in turn, leads to the appearance of Landau states. We then proceed by computing the time evolution of the corresponding von Neumann entropy from a separable (spin-polarized) initial state. The von Neumann entropy, as we show, indicates that electronic hybrid entanglement does occur between spin and two-dimensional Landau levels. Our results also show that von Neumann entropy, as well as the degree of spin-orbit entanglement, periodically collapses and revives. The characteristics of such behavior; period, amplitude, etc., are shown to be determined from the controllable external agents. Moreover, it is demonstrated that the phenomenon of collapse-revivals' in the behavior of von Neumann entropy, equivalently, electronic hybrid entanglement, is accompanied by plateaus (of great importance in quantum computation schemes) whose durations are, again, controlled by the external elements. Along these lines, we also make a comparison between effects of the two spin-orbit couplings on the entanglement (von Neumann entropy) characteristics. The finer details of the electronic hybrid entanglement, which may be easily verified through spin polarization measurements, are also accreted and discussed. The novel results of the present

  12. Nash y von Neumann: mundos posibles y juegos de lenguaje

    Directory of Open Access Journals (Sweden)

    Salazar , Boris

    2004-06-01

    Full Text Available Este ensayo emplea las nociones de juego de lenguaje y de equivalencia entre juegos para examinar la decisión de John Nash de no jugar el juego coalicional que propuso John von Neumann. El argumento central es que Nash concibió una clase de mundos posibles incompatible con la de von Neumann, y que en el origen de esa divergencia estarían sus distintas nociones de racionalidad.

  13. Essential imposition of Neumann condition in Galerkin-Legendre elliptic solvers

    CERN Document Server

    Auteri, F; Quartapelle, L

    2003-01-01

    A new Galerkin-Legendre direct spectral solver for the Neumann problem associated with Laplace and Helmholtz operators in rectangular domains is presented. The algorithm differs from other Neumann spectral solvers by the high sparsity of the matrices, exploited in conjunction with the direct product structure of the problem. The homogeneous boundary condition is satisfied exactly by expanding the unknown variable into a polynomial basis of functions which are built upon the Legendre polynomials and have a zero slope at the interval extremes. A double diagonalization process is employed pivoting around the eigenstructure of the pentadiagonal mass matrices in both directions, instead of the full stiffness matrices encountered in the classical variational formulation of the problem with a weak natural imposition of the derivative boundary condition. Nonhomogeneous Neumann data are accounted for by means of a lifting. Numerical results are given to illustrate the performance of the proposed spectral elliptic solv...

  14. Schur complements of matrices with acyclic bipartite graphs

    DEFF Research Database (Denmark)

    Britz, Thomas Johann; Olesky, D.D.; van den Driessche, P.

    2005-01-01

    Bipartite graphs are used to describe the generalized Schur complements of real matrices having nos quare submatrix with two or more nonzero diagonals. For any matrix A with this property, including any nearly reducible matrix, the sign pattern of each generalized Schur complement is shown to be ...

  15. On the problem of completeness of QM: von Neumann against Einstein, Podolsky, and Rosen

    OpenAIRE

    Khrennikov, Andrei

    2008-01-01

    We performed a comparative analysis of the arguments of Einstein, Podolsky and Rosen -- EPR, 1935 (against the completeness of QM) and the theoretical formalism of QM (due to von Neumann, 1932). We found that the EPR considerations do not match at all with the von Neumann's theory. Thus EPR did not criticize the real theoretical model of QM. The root of EPR's paradoxical conclusion on incompleteness of QM is the misuse of von Neumann's projection postulate. EPR applied this postulate to obser...

  16. Number-conserving cellular automata with a von Neumann neighborhood of range one

    International Nuclear Information System (INIS)

    Wolnik, Barbara; Dzedzej, Adam; Baetens, Jan M; De Baets, Bernard

    2017-01-01

    We present necessary and sufficient conditions for a cellular automaton with a von Neumann neighborhood of range one to be number-conserving. The conditions are formulated for any dimension and for any set of states containing zero. The use of the geometric structure of the von Neumann neighborhood allows for computationally tractable conditions even in higher dimensions. (paper)

  17. Finite temperature Casimir effect for a massless fractional Klein-Gordon field with fractional Neumann conditions

    International Nuclear Information System (INIS)

    Eab, C. H.; Lim, S. C.; Teo, L. P.

    2007-01-01

    This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann condition which involves vanishing fractional derivatives of the field is introduced. The fractional Neumann condition allows the interpolation of Dirichlet and Neumann conditions imposed on the two plates. There exists a transition value in the difference between the orders of the fractional Neumann conditions for which the Casimir force changes from attractive to repulsive. Low and high temperature limits of Casimir energy and pressure are obtained. For sufficiently high temperature, these quantities are dominated by terms independent of the boundary conditions. Finally, validity of the temperature inversion symmetry for various boundary conditions is discussed

  18. Standing in the gap: ref lections on translating the Jung-Neumann correspondence.

    Science.gov (United States)

    McCartney, Heather

    2016-04-01

    This paper considers the experience of translating the correspondence between C.G. Jung and Erich Neumann as part of the Philemon series. The translator explores the similarities between analytical work and the task of translation by means of the concepts of the dialectical third and the interactional field. The history and politics of the translation of analytic writing and their consequences for the lingua franca of analysis are discussed. Key themes within the correspondence are outlined, including Jung and Neumann's pre-war exploration of Judaism and the unconscious, the post-war difficulties around the publication of Neumann's Depth Psychology and a New Ethic set against the early years of the C.G. Jung Institute in Zurich, and the development of the correspondents' relationship over time. © 2016, The Society of Analytical Psychology.

  19. Calculation of von Neumann entropy for hydrogen and positronium negative ions

    International Nuclear Information System (INIS)

    Lin, Chien-Hao; Ho, Yew Kam

    2014-01-01

    In the present work, we carry out calculations of von Neumann entropies and linear entropies for the hydrogen negative ion and the positronium negative ion. We concentrate on the spatial (electron–electron orbital) entanglement in these ions by using highly correlated Hylleraas functions to represent their ground states, and to take care of correlation effects. We apply the Schmidt decomposition method on the partial-wave expanded two-electron wave functions, and from which the one-particle reduced density matrix can be obtained, leading to the quantifications of linear entropy and von Neumann entropy in the H − and Ps − ions. - Highlights: • We calculate von Neumann entropies and linear entropies for hydrogen and positronium negative ions. • We employ highly correlated Hylleraas functions to take into account of correlation effects. • Spatial (electron–electron orbital) entanglement is quantified using the Schmidt decomposition method. • The eigenvalues of the one-particle reduced density matrix are calculated

  20. Rohlin flows on Von Neumann algebras

    CERN Document Server

    Masuda, Toshihiko

    2016-01-01

    The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II_1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III_0 factors. Several concrete examples are also studied.

  1. Explicit formulas for Neumann coefficients in the plane-wave geometry

    International Nuclear Information System (INIS)

    He Yanghui; Schwarz, John H.; Spradlin, Marcus; Volovich, Anastasia

    2003-01-01

    We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter μ. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large μ and find unexpectedly simple results, which are valid to all orders in 1/μ. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling λ ' . A specific example is presented

  2. Physical Realization of von Neumann Lattices in Rotating Bose Gases with Dipole Interatomic Interactions.

    Science.gov (United States)

    Cheng, Szu-Cheng; Jheng, Shih-Da

    2016-08-22

    This paper reports a novel type of vortex lattice, referred to as a bubble crystal, which was discovered in rapidly rotating Bose gases with long-range interactions. Bubble crystals differ from vortex lattices which possess a single quantum flux per unit cell, while atoms in bubble crystals are clustered periodically and surrounded by vortices. No existing model is able to describe the vortex structure of bubble crystals; however, we identified a mathematical lattice, which is a subset of coherent states and exists periodically in the physical space. This lattice is called a von Neumann lattice, and when it possesses a single vortex per unit cell, it presents the same geometrical structure as an Abrikosov lattice. In this report, we extend the von Neumann lattice to one with an integral number of flux quanta per unit cell and demonstrate that von Neumann lattices well reproduce the translational properties of bubble crystals. Numerical simulations confirm that, as a generalized vortex, a von Neumann lattice can be physically realized using vortex lattices in rapidly rotating Bose gases with dipole interatomic interactions.

  3. Regularity of spectral fractional Dirichlet and Neumann problems

    DEFF Research Database (Denmark)

    Grubb, Gerd

    2016-01-01

    Consider the fractional powers and of the Dirichlet and Neumann realizations of a second-order strongly elliptic differential operator A on a smooth bounded subset Ω of . Recalling the results on complex powers and complex interpolation of domains of elliptic boundary value problems by Seeley in ...

  4. Frobenius theory for positive maps of von Neumann algebras

    International Nuclear Information System (INIS)

    Albeverio, S.; Hoegh-Krohn, R.

    1978-01-01

    Frobenius theory about the cyclic structure of eigenvalues of irreducible non negative matrices is extended to the case of positive linear maps of von Neumann algebras. Semigroups of such maps and ergodic properties are also considered. (orig.) [de

  5. Introducing formalism in economics: The growth model of John von Neumann

    Directory of Open Access Journals (Sweden)

    Gloria-Palermo Sandye

    2010-01-01

    Full Text Available The objective is to interpret John von Neumann's growth model as a decisive step of the forthcoming formalist revolution of the 1950s in economics. This model gave rise to an impressive variety of comments about its classical or neoclassical underpinnings. We go beyond this traditional criterion and interpret rather this model as the manifestation of von Neumann's involvement in the formalist programme of mathematician David Hilbert. We discuss the impact of Kurt Gödel's discoveries on this programme. We show that the growth model reflects the pragmatic turn of the formalist programme after Gödel and proposes the extension of modern axiomatisation to economics.

  6. Nonlinear von Neumann equations for quantum dissipative systems

    International Nuclear Information System (INIS)

    Messer, J.; Baumgartner, B.

    1978-01-01

    For pure states nonlinear Schroedinger equations, the so-called Schroedinger-Langevin equations are well-known to model quantum dissipative systems of the Langevin type. For mixtures it is shown that these wave equations do not extend to master equations, but to corresponding nonlinear von Neumann equations. Solutions for the damped harmonic oscillator are discussed. (Auth.)

  7. Nonlinear von Neumann equations for quantum dissipative systems

    International Nuclear Information System (INIS)

    Messer, J.; Baumgartner, B.

    For pure states nonlinear Schroedinger equations, the so-called Schroedinger-Langevin equations are well-known to model quantum dissipative systems of the Langevin type. For mixtures it is shown that these wave equations do not extend to master equations, but to corresponding nonlinear von Neumann equations. Solutions for the damped harmonic oscillator are discussed. (Author)

  8. How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems

    OpenAIRE

    Cortazar, C.; Elgueta, M.; Rossi, J. D.; Wolanski, N.

    2006-01-01

    We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family of nonlocal diffusion operators when a rescaling parameter related to the kernel of the nonlocal operator goes to zero. We prove that the solutions of this family of problems converge to a solution of the heat equation with Neumann boundary conditions.

  9. Minimum Moduli in Von Neumann Algebras | Gopalraj | Quaestiones ...

    African Journals Online (AJOL)

    In this paper we answer a question raised in [12] in the affirmative, namely that the essential minimum modulus of an element in a von. Neumann algebra, relative to any norm closed two-sided ideal, is equal to the minimum modulus of the element perturbed by an element from the ideal. As a corollary of this result, we ...

  10. Current status of Uganda Kob (Kobus Kob Thomasi Neumann) in ...

    African Journals Online (AJOL)

    Current status of Uganda Kob (Kobus Kob Thomasi Neumann) in Toro Game Reserve, Uganda. ... As part of a biological assessment of Toro Game Reserve, the status of Uganda kob Kobus kob Thomasi ... AJOL African Journals Online.

  11. Characterizing ξ-Lie Multiplicative Isomorphisms on Von Neumann Algebras

    Directory of Open Access Journals (Sweden)

    Yamin Song

    2014-01-01

    Full Text Available Let ℳ and be von Neumann algebras without central summands of type I1. Assume that ξ∈ℂ with ξ≠1. In this paper, all maps Φ:ℳ→ satisfying ΦAB-ξBA=ΦAΦB-ξΦBΦ(A are characterized.

  12. A paradox of rationality à la von Neumann-Morgenstern

    NARCIS (Netherlands)

    Ismail, M.S.

    2015-01-01

    We show that there are games and decision situations in which it is not possible for the decision maker to be rational a la von Neumann-Morgenstern in both situations simultaneously, which is the source of the paradox presented in this note. We provide an assumption which is the necessary and

  13. Extensions of von Neumann's method for generating random variables

    International Nuclear Information System (INIS)

    Monahan, J.F.

    1979-01-01

    Von Neumann's method of generating random variables with the exponential distribution and Forsythe's method for obtaining distributions with densities of the form e/sup -G//sup( x/) are generalized to apply to certain power series representations. The flexibility of the power series methods is illustrated by algorithms for the Cauchy and geometric distributions

  14. Interpolatability distinguishes LOCC from separable von Neumann measurements

    International Nuclear Information System (INIS)

    Childs, Andrew M.; Leung, Debbie; Mančinska, Laura; Ozols, Maris

    2013-01-01

    Local operations with classical communication (LOCC) and separable operations are two classes of quantum operations that play key roles in the study of quantum entanglement. Separable operations are strictly more powerful than LOCC, but no simple explanation of this phenomenon is known. We show that, in the case of von Neumann measurements, the ability to interpolate measurements is an operational principle that sets apart LOCC and separable operations

  15. KK -theory and spectral flow in von Neumann algebras

    DEFF Research Database (Denmark)

    Kaad, Jens; Nest, Ryszard; Rennie, Adam

    2012-01-01

    We present a definition of spectral flow for any norm closed ideal J in any von Neumann algebra N. Given a path of selfadjoint operators in N which are invertible in N/J, the spectral flow produces a class in Ko (J). Given a semifinite spectral triple (A, H, D) relative to (N, t) with A separable...

  16. The Neumann Type Systems and Algebro-Geometric Solutions of a System of Coupled Integrable Equations

    International Nuclear Information System (INIS)

    Chen Jinbing; Qiao Zhijun

    2011-01-01

    A system of (1+1)-dimensional coupled integrable equations is decomposed into a pair of new Neumann type systems that separate the spatial and temporal variables for this system over a symplectic submanifold. Then, the Neumann type flows associated with the coupled integrable equations are integrated on the complex tour of a Riemann surface. Finally, the algebro-geometric solutions expressed by Riemann theta functions of the system of coupled integrable equations are obtained by means of the Jacobi inversion.

  17. A bicategorical approach to Morita equivalence for Von Neumann algebras

    NARCIS (Netherlands)

    R.M. Brouwer (Rachel)

    2003-01-01

    textabstractWe relate Morita equivalence for von Neumann algebras to the ``Connes fusion'' tensor product between correspondences. In the purely algebraic setting, it is well known that rings are Morita equivalent if and only if they are equivalent objects in a bicategory whose 1-cells are

  18. Physical properties of the Schur complement of local covariance matrices

    International Nuclear Information System (INIS)

    Haruna, L F; Oliveira, M C de

    2007-01-01

    General properties of global covariance matrices representing bipartite Gaussian states can be decomposed into properties of local covariance matrices and their Schur complements. We demonstrate that given a bipartite Gaussian state ρ 12 described by a 4 x 4 covariance matrix V, the Schur complement of a local covariance submatrix V 1 of it can be interpreted as a new covariance matrix representing a Gaussian operator of party 1 conditioned to local parity measurements on party 2. The connection with a partial parity measurement over a bipartite quantum state and the determination of the reduced Wigner function is given and an operational process of parity measurement is developed. Generalization of this procedure to an n-partite Gaussian state is given, and it is demonstrated that the n - 1 system state conditioned to a partial parity projection is given by a covariance matrix such that its 2 x 2 block elements are Schur complements of special local matrices

  19. The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation

    Directory of Open Access Journals (Sweden)

    Juan Wang

    2013-01-01

    Full Text Available We consider the existence, uniqueness, and asymptotic behavior of a classical solution to the initial and Neumann boundary value problem for a class nonlinear parabolic equation of Monge-Ampère type. We show that such solution exists for all times and is unique. It converges eventually to a solution that satisfies a Neumann type problem for nonlinear elliptic equation of Monge-Ampère type.

  20. Relations between generalized von Neumann-Jordan and James constants for quasi-Banach spaces

    Directory of Open Access Journals (Sweden)

    Young Chel Kwun

    2016-07-01

    Full Text Available Abstract Let C N J ( B $\\mathcal{C}_{NJ} ( \\mathcal{B} $ and J ( B $J ( \\mathcal{B} $ be the generalized von Neumann-Jordan and James constants of a quasi-Banach space B $\\mathcal{B}$ , respectively. In this paper we shall show the relation between C N J ( B $\\mathcal {C}_{NJ} ( \\mathcal{B} $ , J ( B $J ( \\mathcal{B} $ , and the modulus of convexity. Also, we show that if B $\\mathcal{B}$ is not uniform non-square then J ( B = C N J ( B = 2 $J ( \\mathcal{B} =\\mathcal{C}_{NJ} ( \\mathcal{B} =2$ . Moreover, we give an equivalent formula for the generalized von Neumann-Jordan constant.

  1. A von Neumann type inequality for certain domains in Cn

    Czech Academy of Sciences Publication Activity Database

    Ambrozie, Calin-Grigore; Timotin, D.

    2002-01-01

    Roč. 131, č. 3 (2002), s. 859-869 ISSN 0002-9939 R&D Projects: GA ČR GA201/03/0041 Institutional research plan: CEZ:AV0Z1019905 Keywords : von Neumann inequality * multioperators * Nevanlinna-Pick problem Subject RIV: BA - General Mathematics Impact factor: 0.334, year: 2002

  2. Integral Method of Boundary Characteristics: Neumann Condition

    Science.gov (United States)

    Kot, V. A.

    2018-05-01

    A new algorithm, based on systems of identical equalities with integral and differential boundary characteristics, is proposed for solving boundary-value problems on the heat conduction in bodies canonical in shape at a Neumann boundary condition. Results of a numerical analysis of the accuracy of solving heat-conduction problems with variable boundary conditions with the use of this algorithm are presented. The solutions obtained with it can be considered as exact because their errors comprise hundredths and ten-thousandths of a persent for a wide range of change in the parameters of a problem.

  3. Stability estimate for the aligned magnetic field in a periodic quantum waveguide from Dirichlet-to-Neumann map

    Energy Technology Data Exchange (ETDEWEB)

    Mejri, Youssef, E-mail: josef-bizert@hotmail.fr [Aix Marseille Universite, Toulon Universite, CNRS, CPT, Marseille (France); Dép. des Mathématiques, Faculté des Sciences de Bizerte, 7021 Jarzouna (Tunisia); Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l’Ingénieur, ENIT BP 37, Le Belvedere, 1002 Tunis (Tunisia)

    2016-06-15

    In this article, we study the boundary inverse problem of determining the aligned magnetic field appearing in the magnetic Schrödinger equation in a periodic quantum cylindrical waveguide, by knowledge of the Dirichlet-to-Neumann map. We prove a Hölder stability estimate with respect to the Dirichlet-to-Neumann map, by means of the geometrical optics solutions of the magnetic Schrödinger equation.

  4. The von Neumann entanglement entropy for Wigner-crystal states in one dimensional N-particle systems

    International Nuclear Information System (INIS)

    Kościk, Przemysław

    2015-01-01

    We study one-dimensional systems of N particles in a one-dimensional harmonic trap with an inverse power law interaction ∼|x| −d . Within the framework of the harmonic approximation we derive, in the strong interaction limit, the Schmidt decomposition of the one-particle reduced density matrix and investigate the nature of the degeneracy appearing in its spectrum. Furthermore, the ground-state asymptotic occupancies and their natural orbitals are derived in closed analytic form, which enables their easy determination for a wide range of values of N. A closed form asymptotic expression for the von Neumann entanglement entropy is also provided and its dependence on N is discussed for the systems with d=1 (charged particles) and with d=3 (dipolar particles). - Highlights: • We study confined systems of N particles with an inverse power law interaction. • We apply the harmonic approximation to the systems. • We derive closed form expressions for the asymptotic von Neumann entropy. • The asymptotic von Neumann entropy grows monotonically as N increases

  5. Magnetic bottles for the Neumann problem: The case of dimension 3

    Indian Academy of Sciences (India)

    M. Senthilkumar (Newgen Imaging) 1461 1996 Oct 15 13:05:22

    2 in our previous work and will be analysed in the case of dimension 3 in a future paper. Keywords. Spectral .... in x1 > 0 and with Neumann condition on x1 = 0. The bottom the ..... University of Hong-Kong) December 6–11 (1999). [LuPa5] ...

  6. Nonlinear parabolic problems with Neumann-type boundary conditions and L^1-data

    Directory of Open Access Journals (Sweden)

    Abderrahmane El Hachimi

    2007-11-01

    $$ \\frac{\\partial u}{\\partial t}-\\triangle_{p}u+\\alpha(u=f \\quad \\text{in } ]0,\\ T[\\times\\Omega, $$ with Neumann-type boundary conditions and initial data in $L^1$. Our approach is based essentially on the time discretization technique by Euler forward scheme.

  7. Factorization and dilation problems for completely positive maps on von Neumann algebras

    DEFF Research Database (Denmark)

    Haagerup, Uffe; Musat, Magdalena

    2011-01-01

    We study factorization and dilation properties of Markov maps between von Neumann algebras equipped with normal faithful states, i.e., completely positive unital maps which preserve the given states and also intertwine their automorphism groups. The starting point for our investigation has been...

  8. Ampere-Neumann electrodynamics of metals

    International Nuclear Information System (INIS)

    Graneau, P.

    1985-01-01

    Maxwell described Ampere's force law as the cardinal formula of electrodynamics. This law predicts longitudinal mechanical forces along current streamlines in metallic conductors. The Ampere forces set up tension in wires and busbars and compression in liquid metal. At normal current densities they are negligible but, increasing with the square of current, they become dominant in pulse power circuits. Ampere tension and compression have been revealed by exploding wire experiments, in liquid metal jets at solid - liquid interfaces, and with an electrodynamic pendulum. Ampere stresses are already playing an important role in the development of railguns, fuses, current limiters, opening switches, pulse magnets, and a host of other pulse-power devices. This book outlines the electrodynamic action-at-a-distance theory developed by Ampere, Neumann, Weber and, to some extent, by Maxwell. One chapter describes the 20th century extensions of the theory by Graneau and others

  9. Contact angles on a soft solid: from Young's law to Neumann's law.

    Science.gov (United States)

    Marchand, Antonin; Das, Siddhartha; Snoeijer, Jacco H; Andreotti, Bruno

    2012-12-07

    The contact angle that a liquid drop makes on a soft substrate does not obey the classical Young's relation, since the solid is deformed elastically by the action of the capillary forces. The finite elasticity of the solid also renders the contact angles differently from those predicted by Neumann's law, which applies when the drop is floating on another liquid. Here, we derive an elastocapillary model for contact angles on a soft solid by coupling a mean-field model for the molecular interactions to elasticity. We demonstrate that the limit of a vanishing elastic modulus yields Neumann's law or a variation thereof, depending on the force transmission in the solid surface layer. The change in contact angle from the rigid limit to the soft limit appears when the length scale defined by the ratio of surface tension to elastic modulus γ/E reaches the range of molecular interactions.

  10. Dissipative quantum mechanics: The generalization of the canonical quantization and von Neumann equation

    International Nuclear Information System (INIS)

    Tarasov, V.E.

    1994-07-01

    Sedov variational principle, which is the generalization of the least actional principle for the dissipative processes is used to generalize the canonical quantization and von Neumann equation for dissipative systems (particles and strings). (author). 66 refs, 1 fig

  11. Anomalies free E-infinity from von Neumann's continuous geometry

    International Nuclear Information System (INIS)

    El Naschie, M.S.

    2008-01-01

    Von Neumann's continuous geometry has been considerably developed by Connes and is characterized by two fundamental concepts. First it is formulated without any direct reference to points and second it possesses a dimensional function. The present work explores the relevance of these two points to string theory as well as E-infinity theory. In particular we show that point-lessness and dimensional function implies fractality. In turn fractality leads to the concept of average or fuzzy symmetry and the elimination of gauge anomalies

  12. Book Review: John von Neumann and the foundations of quantum physics. (Vienna Circle Institute yearbook (2000), 8) Miklos Redei and Michael Stoltzner (Eds.); Kluwer Academic Publishers, Dordrecht, 2001, pp., US 125, ISBN 0792368126

    Science.gov (United States)

    Lupher, Tracy

    2003-12-01

    Some people may be surprised to learn that John von Neumann's work on the foundations of quantum physics went far beyond what is contained within the pages of his Mathematical Foundations of Quantum Mechanics (MFQM) (von Neumann, 1955). However, this narrow focus often ignores von Neumann's later work on quantum logic and what are now called in his honor, von Neumann algebras. This volume honoring von Neumann's contributions to physics is unique in that, while it contains 12 papers that examine various aspects of von Neumann's work, it also contains two of his previously unpublished papers and some of his previously unpublished correspondence.

  13. Application of stochastic Liouville–von Neumann equation to electronic energy transfer in FMO complex

    International Nuclear Information System (INIS)

    Imai, Hajime; Ohtsuki, Yukiyoshi; Kono, Hirohiko

    2015-01-01

    Highlights: • Stochastic Liouville–von Neumann equation is applied to energy transfer dynamics. • Noise generation methods for dealing with exciton in FMO complexes are proposed. • Structured spectral densities could better support coherent population dynamics. - Abstract: A stochastic Liouville–von Neumann approach to solving a spin-boson model is applied to electronic energy transfer in Fenna–Matthews–Olson (FMO) complexes as a case study of the dynamics in biological systems. We modify a noise generation method to treat an experimentally obtained highly structured spectral density. By considering the population dynamics in a two-site system with a model structured spectral density, we numerically observe two kinds of coherent motions associated with inter-site coupling and system–bath coupling, the latter of which is mainly attributed to the peak structure of the spectral density

  14. Inadequacy of von Neumann entropy for characterizing extractable work

    International Nuclear Information System (INIS)

    Dahlsten, Oscar C O; Renner, Renato; Rieper, Elisabeth; Vedral, Vlatko

    2011-01-01

    The lack of knowledge that an observer has about a system limits the amount of work it can extract. This lack of knowledge is normally quantified using the Gibbs/von Neumann entropy. We show that this standard approach is, surprisingly, only correct in very specific circumstances. In general, one should use the recently developed smooth entropy approach. For many common physical situations, including large but internally correlated systems, the resulting values for the extractable work can deviate arbitrarily from those suggested by the standard approach.

  15. Spin chain from membrane and the Neumann-Rosochatius integrable system

    International Nuclear Information System (INIS)

    Bozhilov, P.

    2007-01-01

    We find membrane configurations in AdS 4 xS 7 , which correspond to the continuous limit of the SU(2) integrable spin chain, considered as a limit of the SU(3) spin chain, arising in N=4 SYM in four dimensions, dual to strings in AdS 5 xS 5 . We also discuss the relationship with the Neumann-Rosochatius integrable system at the level of Lagrangians, comparing the string and membrane cases

  16. Decision Utility Theory: Back to von Neumann, Morgenstern, and Markowitz

    OpenAIRE

    Kontek, Krzysztof

    2010-01-01

    Prospect Theory (1979) and its Cumulative version (1992) argue for probability weighting to explain lottery choices. Decision Utility Theory presents an alternative solution, which makes no use of this concept. The new theory distinguishes decision and perception utility, postulates a double S-shaped decision utility curve similar to one hypothesized by Markowitz (1952), and applies the expected decision utility value similarly to the theory by von Neumann and Morgenstern (1944). Decision Uti...

  17. The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide

    Czech Academy of Sciences Publication Activity Database

    Krejčiřík, David; Zuazua, E.

    2011-01-01

    Roč. 250, č. 5 (2011), s. 2334-2346 ISSN 0022-0396 R&D Projects: GA MŠk LC06002 Institutional research plan: CEZ:AV0Z10480505 Keywords : Laplacian * Dirichlet and Neumann boundary conditions * Twist Subject RIV: BE - Theoretical Physics Impact factor: 1.277, year: 2011

  18. A Duality Approach for the Boundary Variation of Neumann Problems

    DEFF Research Database (Denmark)

    Bucur, Dorin; Varchon, Nicolas

    2002-01-01

    In two dimensions, we study the stability of the solution of an elliptic equation with Neumann boundary conditions for nonsmooth perturbations of the geometric domain. Using harmonic conjugates, we relate this problem to the shape stability of the solution of an elliptic equation with Dirichlet b...... boundary conditions. As a particular case, we prove the stability of the solution under a topological constraint ( uniform number of holes), which is analogous to Sverak's result for Dirichlet boundary conditions....

  19. A duality approach or the boundary variation of Neumann problems

    DEFF Research Database (Denmark)

    Bucur, D.; Varchon, Nicolas

    2002-01-01

    In two dimensions, we study the stability of the solution of an elliptic equation with Neumann boundary conditions for nonsmooth perturbations of the geometric domain. Using harmonic conjugates, we relate this problem to the shape stability of the solution of an elliptic equation with Dirichlet b...... boundary conditions. As a particular case, we prove the stability of the solution under a topological constraint ( uniform number of holes), which is analogous to Sverak's result for Dirichlet boundary conditions....

  20. Monotonicity of the von Neumann entropy expressed as a function of R\\'enyi entropies

    OpenAIRE

    Fannes, Mark

    2013-01-01

    The von Neumann entropy of a density matrix of dimension d, expressed in terms of the first d-1 integer order R\\'enyi entropies, is monotonically increasing in R\\'enyi entropies of even order and decreasing in those of odd order.

  1. Ultraweak Continuity of σ-derivations on von Neumann Algebras

    International Nuclear Information System (INIS)

    Mirzavaziri, Madjid; Moslehian, Mohammad Sal

    2009-01-01

    Let σ be a surjective ultraweakly continuous *-linear mapping and d be a σ-derivation on a von Neumann algebra. We show that there are a surjective ultraweakly continuous *-homomorphism and a Σ-derivation such that D is ultraweakly continuous if and only if so is d. We use this fact to show that the σ-derivation d is automatically ultraweakly continuous. We also prove the converse in the sense that if σ is a linear mapping and d is an ultraweakly continuous *-σ-derivation, then there is an ultraweakly continuous linear mapping such that d is a *-Σ-derivation

  2. Hypercontractivity in group Von Neumann algebras

    CERN Document Server

    Junge, Marius; Parcet, Javier

    2017-01-01

    In this paper, the authors provide a combinatorial/numerical method to establish new hypercontractivity estimates in group von Neumann algebras. They illustrate their method with free groups, triangular groups and finite cyclic groups, for which they obtain optimal time hypercontractive L_2 \\to L_q inequalities with respect to the Markov process given by the word length and with q an even integer. Interpolation and differentiation also yield general L_p \\to L_q hypercontrativity for 1 < p \\le q < \\infty via logarithmic Sobolev inequalities. The authors' method admits further applications to other discrete groups without small loops as far as the numerical part-which varies from one group to another-is implemented and tested on a computer. The authors also develop another combinatorial method which does not rely on computational estimates and provides (non-optimal) L_p \\to L_q hypercontractive inequalities for a larger class of groups/lengths, including any finitely generated group equipped with a condit...

  3. Existence of bounded solutions of Neumann problem for a nonlinear degenerate elliptic equation

    Directory of Open Access Journals (Sweden)

    Salvatore Bonafede

    2017-10-01

    Full Text Available We prove the existence of bounded solutions of Neumann problem for nonlinear degenerate elliptic equations of second order in divergence form. We also study some properties as the Phragmen-Lindelof property and the asymptotic behavior of the solutions of Dirichlet problem associated to our equation in an unbounded domain.

  4. The Integral Equation Method and the Neumann Problem for the Poisson Equation on NTA Domains

    Czech Academy of Sciences Publication Activity Database

    Medková, Dagmar

    2009-01-01

    Roč. 63, č. 21 (2009), s. 227-247 ISSN 0378-620X Institutional research plan: CEZ:AV0Z10190503 Keywords : Poisson equation * Neumann problem * integral equation method Subject RIV: BA - General Mathematics Impact factor: 0.477, year: 2009

  5. von Neumann entropy associated with the haldane exclusion statistics

    International Nuclear Information System (INIS)

    Rajagopal, A.K.

    1995-01-01

    We obtain the von Neumann entropy per state of the Haldane exclusion statistics with parameter g in terms of the mean occupation number bar n{wlnw-(1+w)ln(1+w)}, where w=(1-bar n). This reduces correctly to the well known expressions in the limiting cases of Bose (g=0) and Fermi (g=1) statistics. We have derived the second and third order fluctuations in the occupation numbers for arbitrary g. An elegant general duality relationship between the w factor associated with the particle and that associated with the hole at the reciprocal g is deduced along with the attendant relationship between the two respective entropies

  6. Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions

    Science.gov (United States)

    Jun, Li; Huicheng, Yin

    2018-05-01

    The paper is devoted to investigating long time behavior of smooth small data solutions to 3-D quasilinear wave equations outside of compact convex obstacles with Neumann boundary conditions. Concretely speaking, when the surface of a 3-D compact convex obstacle is smooth and the quasilinear wave equation fulfills the null condition, we prove that the smooth small data solution exists globally provided that the Neumann boundary condition on the exterior domain is given. One of the main ingredients in the current paper is the establishment of local energy decay estimates of the solution itself. As an application of the main result, the global stability to 3-D static compressible Chaplygin gases in exterior domain is shown under the initial irrotational perturbation with small amplitude.

  7. Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition

    Directory of Open Access Journals (Sweden)

    Wang Jiajun

    2010-05-01

    Full Text Available Abstract Background The inverse problem of fluorescent molecular tomography (FMT often involves complex large-scale matrix operations, which may lead to unacceptable computational errors and complexity. In this research, a tree structured Schur complement decomposition strategy is proposed to accelerate the reconstruction process and reduce the computational complexity. Additionally, an adaptive regularization scheme is developed to improve the ill-posedness of the inverse problem. Methods The global system is decomposed level by level with the Schur complement system along two paths in the tree structure. The resultant subsystems are solved in combination with the biconjugate gradient method. The mesh for the inverse problem is generated incorporating the prior information. During the reconstruction, the regularization parameters are adaptive not only to the spatial variations but also to the variations of the objective function to tackle the ill-posed nature of the inverse problem. Results Simulation results demonstrate that the strategy of the tree structured Schur complement decomposition obviously outperforms the previous methods, such as the conventional Conjugate-Gradient (CG and the Schur CG methods, in both reconstruction accuracy and speed. As compared with the Tikhonov regularization method, the adaptive regularization scheme can significantly improve ill-posedness of the inverse problem. Conclusions The methods proposed in this paper can significantly improve the reconstructed image quality of FMT and accelerate the reconstruction process.

  8. Shape differentiability of the Neumann problem of the Laplace equation in the half-space

    Czech Academy of Sciences Publication Activity Database

    Amrouche, Ch.; Nečasová, Šárka; Sokolowski, J.

    2008-01-01

    Roč. 37, č. 4 (2008), s. 748-769 ISSN 0324-8569 R&D Projects: GA ČR GA201/05/0005; GA ČR GA201/08/0012 Institutional research plan: CEZ:AV0Z10190503 Keywords : shape optimization * Neumann problem * half space * material derivative Subject RIV: BA - General Mathematics Impact factor: 0.689, year: 2008

  9. On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants

    OpenAIRE

    Gesztesy, Fritz; Mitrea, Marius; Zinchenko, Maxim

    2010-01-01

    We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrodinger operators in $L^2(\\Omega; d^n x)$, $n=2,3$, where $\\Omega$ is an open set with a compact, nonempty boundary satisfying certain regularity conditions. As an application we describe a reduction of a certain ratio of modified Fredholm perturbation determinants associated with operators in $L^2(\\Omega; d^n x)$ to modified Fredholm perturbation determinants associated with operators in $L^2(\\partial\\Om...

  10. $L^q$-solution of the Neumann, Robin and transmission problem for the scalar Oseen equation

    Czech Academy of Sciences Publication Activity Database

    Medková, Dagmar

    2018-01-01

    Roč. 291, č. 4 (2018), s. 682-698 ISSN 0025-584X R&D Projects: GA ČR GA16-03230S Institutional support: RVO:67985840 Keywords : generalized jump problem * Neumann problem * Robin problem Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.742, year: 2016

  11. Die Mathematik und andere Kurzsprachen : Über John von Neumann, The Computer and the Brain

    NARCIS (Netherlands)

    Leydesdorff, L.; Baecker, D.

    2016-01-01

    Das Buch The Computer and the Brain (1958, dt. 1991; im Folgenden wird nach der deutschen Übersetzung zitiert) ist die gedruckte Version der Silliman Lectures, die zu halten John von Neumann 1956 nach Yale eingeladen worden war. Obwohl sie bis zum März 1956 vorbereitet waren, wurden sie nie

  12. Integral representation of a solution of the Neumann problem for the Stokes system

    Czech Academy of Sciences Publication Activity Database

    Medková, Dagmar

    2010-01-01

    Roč. 54, č. 4 (2010), s. 459-484 ISSN 1017-1398 R&D Projects: GA AV ČR IAA100190804 Institutional research plan: CEZ:AV0Z10190503 Keywords : Stokes system * Neumann problem * single layer potential * double layer potential * integral equation method * successive approximation Subject RIV: BA - General Mathematics Impact factor: 0.784, year: 2010 http://link.springer.com/article/10.1007%2Fs11075-009-9346-4

  13. Context-invariant quasi hidden variable (qHV) modelling of all joint von Neumann measurements for an arbitrary Hilbert space

    International Nuclear Information System (INIS)

    Loubenets, Elena R.

    2015-01-01

    We prove the existence for each Hilbert space of the two new quasi hidden variable (qHV) models, statistically noncontextual and context-invariant, reproducing all the von Neumann joint probabilities via non-negative values of real-valued measures and all the quantum product expectations—via the qHV (classical-like) average of the product of the corresponding random variables. In a context-invariant model, a quantum observable X can be represented by a variety of random variables satisfying the functional condition required in quantum foundations but each of these random variables equivalently models X under all joint von Neumann measurements, regardless of their contexts. The proved existence of this model negates the general opinion that, in terms of random variables, the Hilbert space description of all the joint von Neumann measurements for dimH≥3 can be reproduced only contextually. The existence of a statistically noncontextual qHV model, in particular, implies that every N-partite quantum state admits a local quasi hidden variable model introduced in Loubenets [J. Math. Phys. 53, 022201 (2012)]. The new results of the present paper point also to the generality of the quasi-classical probability model proposed in Loubenets [J. Phys. A: Math. Theor. 45, 185306 (2012)

  14. Entanglement in random pure states: spectral density and average von Neumann entropy

    Energy Technology Data Exchange (ETDEWEB)

    Kumar, Santosh; Pandey, Akhilesh, E-mail: skumar.physics@gmail.com, E-mail: ap0700@mail.jnu.ac.in [School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067 (India)

    2011-11-04

    Quantum entanglement plays a crucial role in quantum information, quantum teleportation and quantum computation. The information about the entanglement content between subsystems of the composite system is encoded in the Schmidt eigenvalues. We derive here closed expressions for the spectral density of Schmidt eigenvalues for all three invariant classes of random matrix ensembles. We also obtain exact results for average von Neumann entropy. We find that maximum average entanglement is achieved if the system belongs to the symplectic invariant class. (paper)

  15. Regularization of moving boundaries in a Laplacian field by a mixed Dirichlet-Neumann boundary condition : exact results

    NARCIS (Netherlands)

    B.J. Meulenbroek (Bernard); U. M. Ebert (Ute); L. Schäfer

    2005-01-01

    textabstractThe dynamics of ionization fronts that generate a conducting body, are in simplest approximation equivalent to viscous fingering without regularization. Going beyond this approximation, we suggest that ionization fronts can be modeled by a mixed Dirichlet-Neumann boundary condition. We

  16. Regularization of moving boundaries in a Laplacian field by a mixed dirichlet-neumann boundary condition: Exact results

    NARCIS (Netherlands)

    Meulenbroek, B.; Ebert, U.; Schäfer, L.

    2005-01-01

    The dynamics of ionization fronts that generate a conducting body are in the simplest approximation equivalent to viscous fingering without regularization. Going beyond this approximation, we suggest that ionization fronts can be modeled by a mixed Dirichlet-Neumann boundary condition. We derive

  17. A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions

    Science.gov (United States)

    Reimer, Ashton S.; Cheviakov, Alexei F.

    2013-03-01

    A Matlab-based finite-difference numerical solver for the Poisson equation for a rectangle and a disk in two dimensions, and a spherical domain in three dimensions, is presented. The solver is optimized for handling an arbitrary combination of Dirichlet and Neumann boundary conditions, and allows for full user control of mesh refinement. The solver routines utilize effective and parallelized sparse vector and matrix operations. Computations exhibit high speeds, numerical stability with respect to mesh size and mesh refinement, and acceptable error values even on desktop computers. Catalogue identifier: AENQ_v1_0 Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AENQ_v1_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: GNU General Public License v3.0 No. of lines in distributed program, including test data, etc.: 102793 No. of bytes in distributed program, including test data, etc.: 369378 Distribution format: tar.gz Programming language: Matlab 2010a. Computer: PC, Macintosh. Operating system: Windows, OSX, Linux. RAM: 8 GB (8, 589, 934, 592 bytes) Classification: 4.3. Nature of problem: To solve the Poisson problem in a standard domain with “patchy surface”-type (strongly heterogeneous) Neumann/Dirichlet boundary conditions. Solution method: Finite difference with mesh refinement. Restrictions: Spherical domain in 3D; rectangular domain or a disk in 2D. Unusual features: Choice between mldivide/iterative solver for the solution of large system of linear algebraic equations that arise. Full user control of Neumann/Dirichlet boundary conditions and mesh refinement. Running time: Depending on the number of points taken and the geometry of the domain, the routine may take from less than a second to several hours to execute.

  18. On the rate of convergence in von Neumann's ergodic theorem with continuous time

    International Nuclear Information System (INIS)

    Kachurovskii, A G; Reshetenko, Anna V

    2010-01-01

    The rate of convergence in von Neumann's mean ergodic theorem is studied for continuous time. The condition that the rate of convergence of the ergodic averages be of power-law type is shown to be equivalent to requiring that the spectral measure of the corresponding dynamical system have a power-type singularity at 0. This forces the estimates for the convergence rate in the above ergodic theorem to be necessarily spectral. All the results obtained have obvious exact analogues for wide-sense stationary processes. Bibliography: 7 titles.

  19. Stability analysis of WONDY (a hydrocode based on the artifical viscosity method of von Neumann and Richtmyer) for a special case of Maxwell's Law

    International Nuclear Information System (INIS)

    Hicks, D.L.

    1978-01-01

    The artification viscosity method of von Neumann and Richtmyer was originally designed and analyzed for stability in the case when the material was an ideal gas. Recently a hydrocode (WONDY) based on the von Neumann-Richymyer scheme was used in calculating wave progagation problems in materials obeying a form of Maxwell's material law; signs of an unstable difference scheme appeared. A stability analysis shows that the timestep restrictions required for stability in certain cases can be more stringent for material laws of the Maxwell type than they are for material laws of the ideal gas type

  20. Ocorrência de Amblyomma fuscum Neumann, 1899 e Amblyomma humerale Koch, 1844 (Acari: Ixodidae em Bufo arenalis no estado de São Paulo, Brasil Occurence of Amblyomma fuscum Neumann, 1899 and Amblyomma humerale Koch, 1844 (Acari: Ixodidae in Bufo arenalis in the state of São Paulo, Brazil

    Directory of Open Access Journals (Sweden)

    Afonso Lodovico Sinkoc

    1997-06-01

    Full Text Available O objetivo deste trabalho é relatar a ocorrência do parasitismo monoespecífico de A. fuscum NEUMANN, 1899 e A. humerale KOCH, 1844 em sapos (Bufo arenalis no Município de Rosana, Estado de São Paulo, Brasil. Este relato caracteriza um novo hospedeiro e uma nova localização geográfica para estas duas espécies de carrapatos.The objective of this work is to describe the occurence of the monoespecific parasitism of A. fuscum NEUMANN, 1899 and A. humerale KOCH, 1844 in toads (Bufo arenalis from the County of Rosana, State of São Paulo, Brazil. This is the description of a new host and new geographic site for those two species.

  1. Approximate Schur complement preconditioning of the lowest order nodal discretizations

    Energy Technology Data Exchange (ETDEWEB)

    Moulton, J.D.; Ascher, U.M. [Univ. of British Columbia, Vancouver, British Columbia (Canada); Morel, J.E. [Los Alamos National Lab., NM (United States)

    1996-12-31

    Particular classes of nodal methods and mixed hybrid finite element methods lead to equivalent, robust and accurate discretizations of 2nd order elliptic PDEs. However, widespread popularity of these discretizations has been hindered by the awkward linear systems which result. The present work exploits this awkwardness, which provides a natural partitioning of the linear system, by defining two optimal preconditioners based on approximate Schur complements. Central to the optimal performance of these preconditioners is their sparsity structure which is compatible with Dendy`s black box multigrid code.

  2. Motion of particles in solar and galactic systems by using Neumann boundary condition

    Science.gov (United States)

    Shenavar, Hossein

    2016-12-01

    A new equation of motion, which is derived previously by imposing Neumann boundary condition on cosmological perturbation equations (Shenavar in Astrophys. Space Sci., 2016a, doi: 10.1007/s10509-016-2676-5), is investigated. By studying the precession of perihelion, it is shown that the new equation of motion suggests a small, though detectable, correction in orbits of solar system objects. Then a system of particles is surveyed to have a better understanding of galactic structures. Also the general form of the force law is introduced by which the rotation curve and mass discrepancy of axisymmetric disks of stars are derived. In addition, it is suggested that the mass discrepancy as a function of centripetal acceleration becomes significant near a constant acceleration 2c1a0 where c1 is the Neumann constant and a0 = 6.59 ×10^{-10} m/s2 is a fundamental acceleration. Furthermore, it is shown that a critical surface density equal to σ0=a0/G, in which G is the Newton gravitational constant, has a significant role in rotation curve and mass discrepancy plots. Also, the specific form of NFW mass density profile at small radii, ρ∝1/r, is explained too. Finally, the present model will be tested by using a sample of 39 LSB galaxies for which we will show that the rotation curve fittings are generally acceptable. The derived mass to light ratios too are found within the plausible bound except for the galaxy F571-8.

  3. Conditional expectations on the von Neumann algebras and causal independence of quantized fields

    International Nuclear Information System (INIS)

    Dadashyan, K.Yu.; Khoruzhij, S.S.

    1981-01-01

    Implementation of the condition of casual independence of quantized fields has been established for a number of quantum-field systems. Implementation of a property of the Haag-Castler casual independence has been proved for a net of the von Neumann local algebras in a number of models of free and quantized fields interacting in the Fock local way. In particular, proved is a theorem of meeting the condition of casual independence with the net of local albegras of the Dirac free field. A new method based on the techniques of noncommutative probability law has been used for the proof [ru

  4. Analysis of the susceptibility in a fluid system with Neumann – plus boundary conditions

    Directory of Open Access Journals (Sweden)

    Djondjorov Peter

    2018-01-01

    Full Text Available The behaviour of the local and total susceptibilities of a fluid system bounded by different surfaces is studied in the framework of the Ginsburg-Landau Ising type model. The case of a plain geometry, Neumann-infinity boundary conditions under variations of the temperature and an external ordering field is considered. Exact analytic expressions for the order parameter, local and total susceptibilities in such a system are presented. They are used to analyse the phase behaviour of fluids confined in regions close to the bulk critical point of the respective infinite system.

  5. Schelling, von Neumann, and the Event that Didn’t Occur

    Directory of Open Access Journals (Sweden)

    Alexander J. Field

    2014-02-01

    Full Text Available Thomas Schelling was recognized by the Nobel Prize committee as a pioneer in the application of game theory and rational choice analysis to problems of politics and international relations. However, although he makes frequent references in his writings to this approach, his main explorations and insights depend upon and require acknowledgment of its limitations. One of his principal concerns was how a country could engage in successful deterrence. If the behavioral assumptions that commonly underpin game theory are taken seriously and applied consistently, however, nuclear adversaries are almost certain to engage in devastating conflict, as John von Neumann forcefully asserted. The history of the last half century falsified von Neumann’s prediction, and the “event that didn’t occur” formed the subject of Schelling’s Nobel lecture. The answer to the question “why?” is the central concern of this paper.

  6. One Measure Does Not a Construct Make: Directions toward Reinvigorating Psychopathy Research--Reply to Hare and Neumann (2010)

    Science.gov (United States)

    Skeem, Jennifer L.; Cooke, David J.

    2010-01-01

    In our article (J. L. Skeem & D. J. Cooke, 2010), we outlined the dangers inherent in conflating the Psychopathy Checklist-Revised (PCL-R; R. Hare, 1991) with psychopathy itself. In their response, R. Hare and C. Neumann (2010) seemed to agree with key points that the PCL-R should not be confused with psychopathy and that criminal behavior is not…

  7. Embeddings of model subspaces of the Hardy space: compactness and Schatten-von Neumann ideals

    International Nuclear Information System (INIS)

    Baranov, Anton D

    2009-01-01

    We study properties of the embedding operators of model subspaces K p Θ (defined by inner functions) in the Hardy space H p (coinvariant subspaces of the shift operator). We find a criterion for the embedding of K p Θ in L p (μ) to be compact similar to the Volberg-Treil theorem on bounded embeddings, and give a positive answer to a question of Cima and Matheson. The proof is based on Bernstein-type inequalities for functions in K p Θ . We investigate measures μ such that the embedding operator belongs to some Schatten-von Neumann ideal.

  8. A three-dimensional Dirichlet-to-Neumann operator for water waves over topography

    Science.gov (United States)

    Andrade, D.; Nachbin, A.

    2018-06-01

    Surface water waves are considered propagating over highly variable non-smooth topographies. For this three dimensional problem a Dirichlet-to-Neumann (DtN) operator is constructed reducing the numerical modeling and evolution to the two dimensional free surface. The corresponding Fourier-type operator is defined through a matrix decomposition. The topographic component of the decomposition requires special care and a Galerkin method is provided accordingly. One dimensional numerical simulations, along the free surface, validate the DtN formulation in the presence of a large amplitude, rapidly varying topography. An alternative, conformal mapping based, method is used for benchmarking. A two dimensional simulation in the presence of a Luneburg lens (a particular submerged mound) illustrates the accurate performance of the three dimensional DtN operator.

  9. A diagrammatic description of the equations of motion, current and noise within the second-order von Neumann approach

    DEFF Research Database (Denmark)

    Karlstrom, O.; Emary, C.; Zedler, P.

    2013-01-01

    We investigate the second-order von Neumann approach from a diagrammatic point of view and demonstrate its equivalence with the resonant tunneling approximation. The investigation of higher order diagrams shows that the method correctly reproduces the equation of motion for the single-particle re...... in a two-level dot, a phenomenon that requires the inclusion of electron–electron interaction as well as higher order tunneling processes....

  10. The Photon Shell Game and the Quantum von Neumann Architecture with Superconducting Circuits

    Science.gov (United States)

    Mariantoni, Matteo

    2012-02-01

    Superconducting quantum circuits have made significant advances over the past decade, allowing more complex and integrated circuits that perform with good fidelity. We have recently implemented a machine comprising seven quantum channels, with three superconducting resonators, two phase qubits, and two zeroing registers. I will explain the design and operation of this machine, first showing how a single microwave photon | 1 > can be prepared in one resonator and coherently transferred between the three resonators. I will also show how more exotic states such as double photon states | 2 > and superposition states | 0 >+ | 1 > can be shuffled among the resonators as well [1]. I will then demonstrate how this machine can be used as the quantum-mechanical analog of the von Neumann computer architecture, which for a classical computer comprises a central processing unit and a memory holding both instructions and data. The quantum version comprises a quantum central processing unit (quCPU) that exchanges data with a quantum random-access memory (quRAM) integrated on one chip, with instructions stored on a classical computer. I will also present a proof-of-concept demonstration of a code that involves all seven quantum elements: (1), Preparing an entangled state in the quCPU, (2), writing it to the quRAM, (3), preparing a second state in the quCPU, (4), zeroing it, and, (5), reading out the first state stored in the quRAM [2]. Finally, I will demonstrate that the quantum von Neumann machine provides one unit cell of a two-dimensional qubit-resonator array that can be used for surface code quantum computing. This will allow the realization of a scalable, fault-tolerant quantum processor with the most forgiving error rates to date. [4pt] [1] M. Mariantoni et al., Nature Physics 7, 287-293 (2011.)[0pt] [2] M. Mariantoni et al., Science 334, 61-65 (2011).

  11. Schur Complement Reduction in the Mixed-Hybrid Approximation of Darcy's Law: Rounding Error Analysis

    Czech Academy of Sciences Publication Activity Database

    Maryška, Jiří; Rozložník, Miroslav; Tůma, Miroslav

    2000-01-01

    Roč. 117, - (2000), s. 159-173 ISSN 0377-0427 R&D Projects: GA AV ČR IAA2030706; GA ČR GA201/98/P108 Institutional research plan: AV0Z1030915 Keywords : potential fluid flow problem * symmetric indefinite linear systems * Schur complement reduction * iterative methods * rounding error analysis Subject RIV: BA - General Mathematics Impact factor: 0.455, year: 2000

  12. Oberbeck–Boussinesq free convection of water based nanoliquids in a vertical channel using Dirichlet, Neumann and Robin boundary conditions on temperature

    Directory of Open Access Journals (Sweden)

    Nur Asiah Mohd Makhatar

    2016-09-01

    Full Text Available A numerical investigation is carried out into the flow and heat transfer within a fully-developed mixed convection flow of water–alumina (Al2O3–water, water–titania (TiO2–water and water–copperoxide (CuO–water in a vertical channel by considering Dirichlet, Neumann and Robin boundary conditions. Actual values of thermophysical quantities are used in arriving at conclusions on the three nanoliquids. The Biot number influences on velocity and temperature distributions are opposite in regions close to the left wall and the right wall. Robin condition is seen to favour symmetry in the flow velocity whereas Dirichlet and Neumann conditions skew the flow distribution and push the point of maximum velocity to the right of the channel. A reversal of role is seen between them in their influence on the flow in the left-half and the right-half of the channel. This leads to related consequences in heat transport. Viscous dissipation is shown to aid flow and heat transport. The present findings reiterate the observation on heat transfer in other configurations that only low concentrations of nanoparticles facilitate enhanced heat transport for all three temperature conditions. Significant change was observed in Neumann condition, whereas the changes are too extreme in Dirichlet condition. It is found that Robin condition is the most stable condition. Further, it is also found that all three nanoliquids have enhanced heat transport compared to that by base liquid, with CuO–water nanoliquid shows higher enhancement in its Nusselt number, compared to Al2O3 and TiO2.

  13. Boundary Equations and Regularity Theory for Geometric Variational Systems with Neumann Data

    Science.gov (United States)

    Schikorra, Armin

    2018-02-01

    We study boundary regularity of maps from two-dimensional domains into manifolds which are critical with respect to a generic conformally invariant variational functional and which, at the boundary, intersect perpendicularly with a support manifold. For example, harmonic maps, or H-surfaces, with a partially free boundary condition. In the interior it is known, by the celebrated work of Rivière, that these maps satisfy a system with an antisymmetric potential, from which one can derive the interior regularity of the solution. Avoiding a reflection argument, we show that these maps satisfy along the boundary a system of equations which also exhibits a (nonlocal) antisymmetric potential that combines information from the interior potential and the geometric Neumann boundary condition. We then proceed to show boundary regularity for solutions to such systems.

  14. Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators

    DEFF Research Database (Denmark)

    Gimperlein, Heiko; Grubb, Gerd

    2014-01-01

    The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(−t P) associated to a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbat......The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(−t P) associated to a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained...... for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to t∈C+  are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup....

  15. Coupling Neumann development and component mode synthesis methods for stochastic analysis of random structures

    Directory of Open Access Journals (Sweden)

    Driss Sarsri

    2014-05-01

    Full Text Available In this paper, we propose a method to calculate the first two moments (mean and variance of the structural dynamics response of a structure with uncertain variables and subjected to random excitation. For this, Newmark method is used to transform the equation of motion of the structure into a quasistatic equilibrium equation in the time domain. The Neumann development method was coupled with Monte Carlo simulations to calculate the statistical values of the random response. The use of modal synthesis methods can reduce the dimensions of the model before integration of the equation of motion. Numerical applications have been developed to highlight effectiveness of the method developed to analyze the stochastic response of large structures.

  16. Effect of background dielectric on TE-polarized photonic bandgap of metallodielectric photonic crystals using Dirichlet-to-Neumann map method.

    Science.gov (United States)

    Sedghi, Aliasghar; Rezaei, Behrooz

    2016-11-20

    Using the Dirichlet-to-Neumann map method, we have calculated the photonic band structure of two-dimensional metallodielectric photonic crystals having the square and triangular lattices of circular metal rods in a dielectric background. We have selected the transverse electric mode of electromagnetic waves, and the resulting band structures showed the existence of photonic bandgap in these structures. We theoretically study the effect of background dielectric on the photonic bandgap.

  17. Explicit treatment for Dirichlet, Neumann and Cauchy boundary conditions in POD-based reduction of groundwater models

    Science.gov (United States)

    Gosses, Moritz; Nowak, Wolfgang; Wöhling, Thomas

    2018-05-01

    In recent years, proper orthogonal decomposition (POD) has become a popular model reduction method in the field of groundwater modeling. It is used to mitigate the problem of long run times that are often associated with physically-based modeling of natural systems, especially for parameter estimation and uncertainty analysis. POD-based techniques reproduce groundwater head fields sufficiently accurate for a variety of applications. However, no study has investigated how POD techniques affect the accuracy of different boundary conditions found in groundwater models. We show that the current treatment of boundary conditions in POD causes inaccuracies for these boundaries in the reduced models. We provide an improved method that splits the POD projection space into a subspace orthogonal to the boundary conditions and a separate subspace that enforces the boundary conditions. To test the method for Dirichlet, Neumann and Cauchy boundary conditions, four simple transient 1D-groundwater models, as well as a more complex 3D model, are set up and reduced both by standard POD and POD with the new extension. We show that, in contrast to standard POD, the new method satisfies both Dirichlet and Neumann boundary conditions. It can also be applied to Cauchy boundaries, where the flux error of standard POD is reduced by its head-independent contribution. The extension essentially shifts the focus of the projection towards the boundary conditions. Therefore, we see a slight trade-off between errors at model boundaries and overall accuracy of the reduced model. The proposed POD extension is recommended where exact treatment of boundary conditions is required.

  18. Auto-validating von Neumann rejection sampling from small phylogenetic tree spaces

    Directory of Open Access Journals (Sweden)

    York Thomas

    2009-01-01

    Full Text Available Abstract Background In phylogenetic inference one is interested in obtaining samples from the posterior distribution over the tree space on the basis of some observed DNA sequence data. One of the simplest sampling methods is the rejection sampler due to von Neumann. Here we introduce an auto-validating version of the rejection sampler, via interval analysis, to rigorously draw samples from posterior distributions over small phylogenetic tree spaces. Results The posterior samples from the auto-validating sampler are used to rigorously (i estimate posterior probabilities for different rooted topologies based on mitochondrial DNA from human, chimpanzee and gorilla, (ii conduct a non-parametric test of rate variation between protein-coding and tRNA-coding sites from three primates and (iii obtain a posterior estimate of the human-neanderthal divergence time. Conclusion This solves the open problem of rigorously drawing independent and identically distributed samples from the posterior distribution over rooted and unrooted small tree spaces (3 or 4 taxa based on any multiply-aligned sequence data.

  19. A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems

    Directory of Open Access Journals (Sweden)

    Luisa Toscano

    2016-01-01

    Full Text Available A new result of solvability for a wide class of systems of variational equations depending on parameters and governed by nonmonotone operators is found in a Banach real and reflexive space with applications to Dirichlet and Neumann problems related to nonlinear elliptic systems.

  20. Logo and Von Neumann Ideas [and] Towards a Humanistic Use of Computers in Education = Hacia una insercion humanista de las computadoras en la educacion.

    Science.gov (United States)

    Reggini, Horacio C.

    The first article, "LOGO and von Neumann Ideas," deals with the creation of new procedures based on procedures defined and stored in memory as LOGO lists of lists. This representation, which enables LOGO procedures to construct, modify, and run other LOGO procedures, is compared with basic computer concepts first formulated by John von…

  1. Von-Neumann and Beyond: Memristor Architectures

    KAUST Repository

    Naous, Rawan

    2017-05-01

    An extensive reliance on technology, an abundance of data, and increasing processing requirements have imposed severe challenges on computing and data processing. Moreover, the roadmap for scaling electronic components faces physical and reliability limits that hinder the utilization of the transistors in conventional systems and promotes the need for faster, energy-efficient, and compact nano-devices. This work thus capitalizes on emerging non-volatile memory technologies, particularly the memristor for steering novel design directives. Moreover, aside from the conventional deterministic operation, a temporal variability is encountered in the devices functioning. This inherent stochasticity is addressed as an enabler for endorsing the stochastic electronics field of study. We tackle this approach of design by proposing and verifying a statistical approach to modelling the stochastic memristors behaviour. This mode of operation allows for innovative computing designs within the approximate computing and beyond Von-Neumann domains. In the context of approximate computing, sacrificing functional accuracy for the sake of energy savings is proposed based on inherently stochastic electronic components. We introduce mathematical formulation and probabilistic analysis for Boolean logic operators and correspondingly incorporate them into arithmetic blocks. Gate- and system-level accuracy of operation is presented to convey configurability and the different effects that the unreliability of the underlying memristive components has on the intermediary and overall output. An image compression application is presented to reflect the efficiency attained along with the impact on the output caused by the relative precision quantification. In contrast, in neuromorphic structures the memristors variability is mapped onto abstract models of the noisy and unreliable brain components. In one approach, we propose using the stochastic memristor as an inherent source of variability in

  2. Atomic switch: atom/ion movement controlled devices for beyond von-neumann computers.

    Science.gov (United States)

    Hasegawa, Tsuyoshi; Terabe, Kazuya; Tsuruoka, Tohru; Aono, Masakazu

    2012-01-10

    An atomic switch is a nanoionic device that controls the diffusion of metal ions/atoms and their reduction/oxidation processes in the switching operation to form/annihilate a conductive path. Since metal atoms can provide a highly conductive channel even if their cluster size is in the nanometer scale, atomic switches may enable downscaling to smaller than the 11 nm technology node, which is a great challenge for semiconductor devices. Atomic switches also possess novel characteristics, such as high on/off ratios, very low power consumption and non-volatility. The unique operating mechanisms of these devices have enabled the development of various types of atomic switch, such as gap-type and gapless-type two-terminal atomic switches and three-terminal atomic switches. Novel functions, such as selective volatile/nonvolatile, synaptic, memristive, and photo-assisted operations have been demonstrated. Such atomic switch characteristics can not only improve the performance of present-day electronic systems, but also enable development of new types of electronic systems, such as beyond von- Neumann computers. Copyright © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

  3. On the connection between quantum fields and von Neumann algebras of local operators

    International Nuclear Information System (INIS)

    Driessler, W.; Summers, S.J.; Wichmann, E.H.

    1986-01-01

    The relationship between a standard local quantum field and a net of local von Neumann algebras is discussed. Two natural possibilities for such an association are identified, and conditions for these to obtain are found. It is shown that the local net can naturally be so chosen that it satisfies the Special Condition of Duality. The notion of an intrinsically local field operator is introduced, and it is shown that such an operator defines a local net with which the field is locally associated. A regularity condition on the field is formulated, and it is shown that if this condition holds, then there exists a unique local net with which the field is locally associated if and only if the field algebra contains at least one intrinsically local operator. Conditions under which a field and other fields in its Borchers class are associated with the same local net are found, in terms of the regularity condition mentioned. (orig.)

  4. Tensor categories and endomorphisms of von Neumann algebras with applications to quantum field theory

    CERN Document Server

    Bischoff, Marcel; Longo, Roberto; Rehren, Karl-Henning

    2015-01-01

    C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables. The present introductory text reviews the basic notions and their cross-relations in different contexts. The focus is on Q-systems that serve as complete invariants, both for subfactors and for extensions of quantum field theory models. It proceeds with various operations on Q-systems (several decompositions, the mirror Q-system, braided product, centre and full centre of Q-systems) some of which are defined only in the presence of a braiding. The last chapter gives a brief exposition of the relevance of the mathematical structures presented in the main body for applications in Quantum Field Theory (in particular two-dimensional Conformal Field Theory, also with boundaries or defects).

  5. A Schur complement method for compressible two-phase flow models

    International Nuclear Information System (INIS)

    Dao, Thu-Huyen; Ndjinga, Michael; Magoules, Frederic

    2014-01-01

    In this paper, we will report our recent efforts to apply a Schur complement method for nonlinear hyperbolic problems. We use the finite volume method and an implicit version of the Roe approximate Riemann solver. With the interface variable introduced in [4] in the context of single phase flows, we are able to simulate two-fluid models ([12]) with various schemes such as upwind, centered or Rusanov. Moreover, we introduce a scaling strategy to improve the condition number of both the interface system and the local systems. Numerical results for the isentropic two-fluid model and the compressible Navier-Stokes equations in various 2D and 3D configurations and various schemes show that our method is robust and efficient. The scaling strategy considerably reduces the number of GMRES iterations in both interface system and local system resolutions. Comparisons of performances with classical distributed computing with up to 218 processors are also reported. (authors)

  6. An Augmented Incomplete Factorization Approach for Computing the Schur Complement in Stochastic Optimization

    KAUST Repository

    Petra, Cosmin G.; Schenk, Olaf; Lubin, Miles; Gä ertner, Klaus

    2014-01-01

    We present a scalable approach and implementation for solving stochastic optimization problems on high-performance computers. In this work we revisit the sparse linear algebra computations of the parallel solver PIPS with the goal of improving the shared-memory performance and decreasing the time to solution. These computations consist of solving sparse linear systems with multiple sparse right-hand sides and are needed in our Schur-complement decomposition approach to compute the contribution of each scenario to the Schur matrix. Our novel approach uses an incomplete augmented factorization implemented within the PARDISO linear solver and an outer BiCGStab iteration to efficiently absorb pivot perturbations occurring during factorization. This approach is capable of both efficiently using the cores inside a computational node and exploiting sparsity of the right-hand sides. We report on the performance of the approach on highperformance computers when solving stochastic unit commitment problems of unprecedented size (billions of variables and constraints) that arise in the optimization and control of electrical power grids. Our numerical experiments suggest that supercomputers can be efficiently used to solve power grid stochastic optimization problems with thousands of scenarios under the strict "real-time" requirements of power grid operators. To our knowledge, this has not been possible prior to the present work. © 2014 Society for Industrial and Applied Mathematics.

  7. Accurate and efficient implementation of the von Neumann representation for laser pulses with discrete and finite spectra

    International Nuclear Information System (INIS)

    Dimler, Frank; Fechner, Susanne; Rodenberg, Alexander; Brixner, Tobias; Tannor, David J

    2009-01-01

    We recently introduced the von Neumann picture, a joint time-frequency representation, for describing ultrashort laser pulses. The method exploits a discrete phase-space lattice of nonorthogonal Gaussians to represent the pulses; an arbitrary pulse shape can be represented on this lattice in a one-to-one manner. Although the representation was originally defined for signals with an infinite continuous spectrum, it can be adapted to signals with discrete and finite spectrum with great computational savings, provided that discretization and truncation effects are handled with care. In this paper, we present three methods that avoid loss of accuracy due to these effects. The approach has immediate application to the representation and manipulation of femtosecond laser pulses produced by a liquid-crystal mask with a discrete and finite number of pixels.

  8. A novel method for the measurement of the von Neumann spike in detonating high explosives

    Science.gov (United States)

    Sollier, A.; Bouyer, V.; Hébert, P.; Doucet, M.

    2016-06-01

    We present detonation wave profiles measured in T2 (97 wt. % TATB) and TX1 (52 wt. % TATB and 45 wt. % HMX) high explosives. The experiments consisted in initiating a detonation wave in a 15 mm diameter cylinder of explosive using an explosive wire detonator and an explosive booster. Free surface velocity wave profiles were measured at the explosive/air interface using a Photon Doppler Velocimetry system. We demonstrate that a comparison of these free surface wave profiles with those measured at explosive/window interfaces in similar conditions allows to bracket the von Neumann spike in a narrow range. For T2, our measurements show that the spike pressure lies between 35.9 and 40.1 GPa, whereas for TX1, it lies between 42.3 and 47.0 GPa. The numerical simulations performed in support to these measurements show that they can be used to calibrate reactive burn models and also to check the accuracy of the detonation products equation of state at low pressure.

  9. [Award of the Salomon-Neumann-Medal 2017 - Speech of the Laureate Prof. Bernt-Peter Robra, 5 September 2017, St. Peter´s Church Lübeck].

    Science.gov (United States)

    Robra, Bernt-Peter

    2018-02-19

    The Salomon-Neumann-Medal 2017 of the German Society for Social Medicine and Prevention (DGSMP) was awarded to Bernt-Peter Robra, Institute for Social Medicine and Health Economics (ISMG) of the Otto von Guericke University Magdeburg. The person and scientific merits of Manfred Pflanz are valued and topics of the masterplan2020-process are highlighted, that offer chances for developments in medicine and public health. © Georg Thieme Verlag KG Stuttgart · New York.

  10. Computational stability of the Von Neumann--Richtmyer method for the case of the ideal gas law

    International Nuclear Information System (INIS)

    Hicks, D.L.

    1978-07-01

    Two stability concepts are of interest for partial difference equations--one arises in theory--the other in practice. The theoretical kind, referred to here as asymptotic stability, is essentially just asymptotic (as Δt, Δx → 0) boundedness of the discrete solution. The other kind, referred to here as computational stability, is stability for a fixed Δt and Δx--computational instability is indicated in practice by oscillatory behavior of the discrete approximation--in particular, oscillations of period 2Δx. This report is concerned with computational stability. Only approximate stability analyses of the von Neumann-Richtmyer scheme have been done for the case of the ideal gas law. Herein a more rigorous computational stability analysis is sought. The analysis leads to a recommendation for the improvement of the time step restriction in WONDY for the case of the ideal gas law

  11. A Neumann problem with the $q$-Laplacian on a solid torus in the critical of supercritical case

    Directory of Open Access Journals (Sweden)

    Nikos Labropoulos

    2007-11-01

    Full Text Available Following the work of Ding [21] we study the existence of a nontrivial positive solution to the nonlinear Neumann problem $$displaylines{ Delta_qu+a(xu^{q-1}=lambda f(xu^{p-1}, quad u>0quad hbox{on } T,cr abla u|^{q-2}frac{partial u}{partial u}+b(x u^{q-1} =lambda g(xu^{ilde{p}-1} quadhbox{on }{partial T},cr p =frac{2q}{2-q}>6,quad ilde{p}=frac{q}{2-q}>4,quad frac{3}{2}

  12. Existence of solutions for a fourth order eigenvalue problem ] {Existence of solutions for a fourth order eigenvalue problem with variable exponent under Neumann boundary conditions

    Directory of Open Access Journals (Sweden)

    Khalil Ben Haddouch

    2016-04-01

    Full Text Available In this work we will study the eigenvalues for a fourth order elliptic equation with $p(x$-growth conditions $\\Delta^2_{p(x} u=\\lambda |u|^{p(x-2} u$, under Neumann boundary conditions, where $p(x$ is a continuous function defined on the bounded domain with $p(x>1$. Through the Ljusternik-Schnireleman theory on $C^1$-manifold, we prove the existence of infinitely many eigenvalue sequences and $\\sup \\Lambda =+\\infty$, where $\\Lambda$ is the set of all eigenvalues.

  13. Equi-frequency contour of photonic crystals with the extended Dirichlet-to-Neumann wave vector eigenvalue equation method

    International Nuclear Information System (INIS)

    Jiang Bin; Zhang Yejing; Wang Yufei; Liu Anjin; Zheng Wanhua

    2012-01-01

    We present the extended Dirichlet-to-Neumann wave vector eigenvalue equation (DtN-WVEE) method to calculate the equi-frequency contour (EFC) of square lattice photonic crystals (PhCs). With the extended DtN-WVEE method and Snell's law, the effective refractive index of the mode with a circular EFC can be obtained, which is further validated with the refractive index weighted by the electric field or magnetic field. To further verify the EFC calculated by the DtN-WVEE method, the finite-difference time-domain method is also used. Compared with other wave vector eigenvalue equation methods that calculate EFC directly, the size of the eigenmatrix used in the DtN-WVEE method is much smaller, and the computation time is significantly reduced. Since the DtN-WVEE method solves wave vectors for given arbitrary frequencies, it can also find applications in studying the optical properties of a PhC with dispersive, lossy and magnetic materials. (paper)

  14. Correlação da aferição manual e digital da distância interespinhosa pelo método de newmann em fraturas toracolombares do tipo explosão Correlación entre calibrado manual y digital de la distancia interespinhosa por el método de neumann en fracturas toracolombares tipo explosión Correlation between manual and digital measurement of inter-spinous dis tance by neumann method in burst thoracolumbar fracture

    Directory of Open Access Journals (Sweden)

    João Paulo Machado Bergamaschi

    2011-01-01

    Full Text Available OBJETIVO: Analisar a correlação entre a aferição manual e digital da distância interespinhosa pelo método de Neumann em fraturas toracolombares do tipo explosão, bem como a reprodutibilidade das duas técnicas. MÉTODOS: Foram avaliadas 212 radiografias de pacientes com fratura toracolombar do tipo explosão, sendo 160 do sexo masculino e 52 do sexo feminino. A idade média dos pacientes no tempo da fratura foi de 38,9 anos (variando de 12 a 76 anos. RESULTADOS: O coeficiente de Pearson, quando comparados os valores percentuais manuais e digitais da relação da distância interespinhosa do nível da vértebra fraturada e dos níveis adjacentes, foi de 0,95 (pOBJETIVO: El objetivo de este estudio es analizar la correlación entre calibrado manual y digital de la distancia interespinhosa por el método de Neumann en fracturas toracolombares tipo explosión, así como la reproducibilidad de los dos técnicas. MÉTODOS: Radiografías fueron evaluados 212 pacientes con fractura toracolombar tipo explosión, 160 hombres y 52 mujeres. La edad promedio de los pacientes en el momento de fractura fue 38.9 años (que van desde 12 a 76 años. RESULTADOS: El coeficiente de Pearson, cuando se comparan valores porcentuales digital y manuales de la relación de distancia interespinhosa el nivel de la vértebra fraturada y niveles adyacentes, fue 0.95 (pOBJECTIVE: The aim of this study is to analyze the correlation between the manual and digital inter-spinous distance by the Neumann method in burst thoracolumbar fracture, as well as the reproducibility of these two techniques. METHODS: We evaluated 212 x-rays of patients with burst thoracolumbar fracture. There were 60 male and 52 female. The average age at the time of the fracture was 38,9 years (12 - 76 years. RESULTS: The Pearson' coefficient between manual and digital analyses was 0,95 (p<0,01. The agreement coefficient of manual and digital measurements was 0,97 and 0,93, respectively. CONCLUSION

  15. Bandgap calculation of two-dimensional mixed solid-fluid phononic crystals by Dirichlet-to-Neumann maps

    International Nuclear Information System (INIS)

    Li Fenglian; Wang Yuesheng; Zhang Chuanzeng

    2011-01-01

    A numerical method based on the Dirichlet-to-Neumann (DtN) map is presented to compute the bandgaps of two-dimensional phononic crystals, which are composed of square or triangular lattices of circular solid cylinders in a fluid matrix. The DtN map is constructed using the cylindrical wave expansion in a unit cell. A linear eigenvalue problem, which depends on the Bloch wave vector and involves relatively small matrices, is formulated. Numerical calculations are performed for typical systems with various acoustic impedance ratios of the solid inclusions and the fluid matrix. The results indicate that the DtN-map based method can provide accurate results for various systems efficiently. In particular it takes into account the fluid-solid interface conditions and the transverse wave mode in the solid component, which has been proven to be significant when the acoustic impedance of the solid inclusions is close to or smaller than that of the fluid matrix. For systems with an acoustic impedance of the inclusion much less than that of the matrix, physical flat bands appear in the band structures, which will be missed if the transverse wave mode in the solid inclusions is neglected.

  16. Well-posedness and exact controllability of a fourth order Schrodinger equation with variable coefficients and Neumann boundary control and collocated observation

    Directory of Open Access Journals (Sweden)

    Ruili Wen

    2016-08-01

    Full Text Available We consider an open-loop system of a fourth order Schrodinger equation with variable coefficients and Neumann boundary control and collocated observation. Using the multiplier method on Riemannian manifold we show that that the system is well-posed in the sense of Salamon. This implies that the exponential stability of the closed-loop system under the direct proportional output feedback control and the exact controllability of open-loop system are equivalent. So in order to conclude feedback stabilization from well-posedness, we study the exact controllability under a uniqueness assumption by presenting the observability inequality for the dual system. In addition, we show that the system is regular in the sense of Weiss, and that the feedthrough operator is zero.

  17. A diagrammatic description of the equations of motion, current and noise within the second-order von Neumann approach

    International Nuclear Information System (INIS)

    Karlström, O; Pedersen, J N; Bergenfeldt, C; Samuelsson, P; Wacker, A; Emary, C; Zedler, P; Brandes, T

    2013-01-01

    We investigate the second-order von Neumann approach from a diagrammatic point of view and demonstrate its equivalence with the resonant tunneling approximation. The investigation of higher order diagrams shows that the method correctly reproduces the equation of motion for the single-particle reduced density matrix of an arbitrary non-interacting many-body system. This explains why the method reproduces the current exactly for such systems. We go on to show, however, that diagrams not included in the method are needed to calculate exactly higher cumulants of the charge transport. This thorough comparison sheds light on the validity of all these self-consistent second-order approaches. We analyze the discrepancy between the noise calculated by our method and the exact Levitov formula for a simple non-interacting quantum dot model. Furthermore, we study the noise of the canyon of current suppression in a two-level dot, a phenomenon that requires the inclusion of electron–electron interaction as well as higher order tunneling processes. (paper)

  18. Slice hyperholomorphic Schur analysis

    CERN Document Server

    Alpay, Daniel; Sabadini, Irene

    2016-01-01

    This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis. The third part represents the core of the book and explores quaternionic Schur analysis and its various applications. The book includes previously unpublished results and provides the basis for new directions of research.

  19. Imaginary Schur-Weyl duality

    CERN Document Server

    Kleshchev, Alexander

    2017-01-01

    The authors study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In order to define standard modules one needs to have a cuspidal system for a fixed convex preorder. A cuspidal system consists of irreducible cuspidal modules-one for each real positive root for the corresponding affine root system {\\tt X}_l^{(1)}, as well as irreducible imaginary modules-one for each l-multiplication. The authors study imaginary modules by means of "imaginary Schur-Weyl duality" and introduce an imaginary analogue of tensor space and the imaginary Schur algebra. They construct a projective generator for the imaginary Schur algebra, which yields a Morita equivalence between the imaginary and the classical Schur algebra, and construct imaginary analogues of Gelfand-Graev representations, Ringel duality and the Jacobi-Trudy formula.

  20. Non-von Neumann computing using plasmon particles interacting with phase change materials (Conference Presentation)

    Science.gov (United States)

    Saiki, Toshiharu

    2016-09-01

    Control of localized surface plasmon resonance (LSPR) excited on metal nanostructures has drawn attention for applications in dynamic switching of plasmonic devices. As a reversible active media for LSPR control, chalcogenide phase-change materials (PCMs) such as GeSbTe (GST) are promising for high-contrast robust plasmonic switching. Owing to the plasticity and the threshold behavior during both amorphization and crystallization of PCMs, PCM-based LSPR switching elements possess a dual functionality of memory and processing. Integration of LSPR switching elements so that they interact with each other will allow us to build non-von-Neumann computing devices. As a specific demonstration, we discuss the implementation of a cellular automata (CA) algorithm into interacting LSPR switching elements. In the model we propose, PCM cells, which can be in one of two states (amorphous and crystalline), interact with each other by being linked by a AuNR, whose LSPR peak wavelength is determined by the phase of PCM cells on the both sides. The CA program proceeds by irradiating with a light pulse train. The local rule set is defined by the temperature rise in the PCM cells induced by the LSPR of the AuNR, which is subject to the intensity and wavelength of the irradiating pulse. We also investigate the possibility of solving a problem analogous to the spin-glass problem by using a coupled dipole system, in which the individual coupling strengths can be modified to optimize the system so that the exact solution can be easily reached. For this algorithm, we propose an implementation based on an idea that coupled plasmon particles can create long-range spatial correlations, and the interaction of this with a phase-change material allows the coupling strength to be modified.

  1. Unordered Tuples in Quantum Computation

    Directory of Open Access Journals (Sweden)

    Robert Furber

    2015-11-01

    Full Text Available It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x M_2. What about unordered pairs? We show in detail that M_3 (+ C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra of an unordered n-tuple of d-level quantum systems. Using some further elementary representation theory and number theory, we characterize the quantum cycles. We finish with a characterization of the von Neumann algebra for unordered words.

  2. Genetic evaluation of seeds of highly endangered Pinus uliginosa Neumann from Węgliniec reserve for ex-situ conservation program

    Directory of Open Access Journals (Sweden)

    Andrzej Lewandowski

    2011-01-01

    Full Text Available Peat-bog pine Pinus uliginosa Neumann has become extinct or rare in many parts of Europe. We have investigated the levels of genetic variation and inbreeding in seeds collected from a highly endangered reserve of this species in Poland, using allozymes as genetic markers. Generally, a high level of genetic variation was observed. The mean expected heterozygosity was 0.376, while average (Na and effective (Ne numbers of alleles per locus were 2.45 and 1.67, respectively. Nevertheless, we have detected relatively low levels of outcrossing, and potential biparental inbreeding. The population-wide multilocus outcrossing rate was estimated to be 0.706 (±0.091, while the minimum variance mean of single-locus estimates was distinctly lower (ts=0.611. The estimates of outcrossing calculated for individual trees ranged widely from 0.051 to 1.017, indicating the complexity of outcrossing patterns. The investigated population of P. uliginasa from Węgliniec is small and surrounded by extensive forest stands of P. sylvestris. Our three-year records of phenological observations demonstrated that flowering periods for P. uliginosa and P. sylvestris overlap, allowing for cross-pollination. The possibility of P. uliginosa pollination by P. sylvestris creates a potential danger of genetic erosion of the P. uliginosa gene pool. Nonetheless, based on a species specific cpDNA marker we have found that among 533 seedlings of P. uliginosa there were only six seedlings carrying cpDNA marker specific for P. sylvestris, indicating that such hybridization seems to be rare.

  3. Schur indices, BPS particles, and Argyres-Douglas theories

    International Nuclear Information System (INIS)

    Córdova, Clay; Shao, Shu-Heng

    2016-01-01

    We conjecture a precise relationship between the Schur limit of the superconformal index of four-dimensional N=2 field theories, which counts local operators, and the spectrum of BPS particles on the Coulomb branch. We verify this conjecture for the special case of free field theories, N=2 QED, and SU(2) gauge theory coupled to fundamental matter. Assuming the validity of our proposal, we compute the Schur index of all Argyres-Douglas theories. Our answers match expectations from the connection of Schur operators with two-dimensional chiral algebras. Based on our results we propose that the chiral algebra of the generalized Argyres-Douglas theory (A_k_−_1,A_N_−_1) with k and N coprime, is the vacuum sector of the (k,k+N)W_k minimal model, and that the Schur index is the associated vacuum character.

  4. Neumann's Tumor

    African Journals Online (AJOL)

    GB

    2017-03-01

    ://dx.doi.org/10.4314/ejhs.v27i2.11. Received: November 21, 2016. Accepted: December 8 ... normal tooth development (9).This case report intends to .... leave a notch in the alveolus that may result in an incomplete dental ...

  5. Schur Convexity of Generalized Heronian Means Involving Two Parameters

    Directory of Open Access Journals (Sweden)

    Bencze Mihály

    2008-01-01

    Full Text Available Abstract The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting and significantly inequalities for generalized Heronian means.

  6. Modified Schur-Cohn Criterion for Stability of Delayed Systems

    Directory of Open Access Journals (Sweden)

    Juan Ignacio Mulero-Martínez

    2015-01-01

    Full Text Available A modified Schur-Cohn criterion for time-delay linear time-invariant systems is derived. The classical Schur-Cohn criterion has two main drawbacks; namely, (i the dimension of the Schur-Cohn matrix generates some round-off errors eventually resulting in a polynomial of s with erroneous coefficients and (ii imaginary roots are very hard to detect when numerical errors creep in. In contrast to the classical Schur-Cohn criterion an alternative approach is proposed in this paper which is based on the application of triangular matrices over a polynomial ring in a similar way as in the Jury test of stability for discrete systems. The advantages of the proposed approach are that it halves the dimension of the polynomial and it only requires seeking real roots, making this modified criterion comparable to the Rekasius substitution criterion.

  7. Infrared computations of defect Schur indices

    Energy Technology Data Exchange (ETDEWEB)

    Córdova, Clay [School of Natural Sciences, Institute for Advanced Study,1 Einstein Dr., Princeton, NJ (United States); Gaiotto, Davide [Perimeter Institute for Theoretical Physics,31 Caroline St., Waterloo, Ontario, N2L 2Y5 (Canada); Shao, Shu-Heng [Jefferson Physical Laboratory, Harvard University,17 Oxford St., Cambridge, MA (United States); School of Natural Sciences, Institute for Advanced Study,1 Einstein Dr., Princeton, NJ (United States)

    2016-11-18

    We conjecture a formula for the Schur index of four-dimensional N=2 theories in the presence of boundary conditions and/or line defects, in terms of the low-energy effective Seiberg-Witten description of the system together with massive BPS excitations. We test our proposal in a variety of examples for SU(2) gauge theories, either conformal or asymptotically free. We use the conjecture to compute these defect-enriched Schur indices for theories which lack a Lagrangian description, such as Argyres-Douglas theories. We demonstrate in various examples that line defect indices can be expressed as sums of characters of the associated two-dimensional chiral algebra and that for Argyres-Douglas theories the line defect OPE reduces in the index to the Verlinde algebra.

  8. Schur-Convexity for a Class of Symmetric Functions and Its Applications

    Directory of Open Access Journals (Sweden)

    Wei-Feng Xia

    2009-01-01

    Full Text Available For x=(x1,x2,…,xn∈R+n, the symmetric function ϕn(x,r is defined by ϕn(x,r=ϕn(x1,x2,…,xn;r=∏1≤i1Schur convexity, Schur multiplicative convexity and Schur harmonic convexity of ϕn(x,r are discussed. As applications, some inequalities are established by use of the theory of majorization.

  9. Semigroups of Herz-Schur multipliers

    DEFF Research Database (Denmark)

    Knudby, Søren

    2014-01-01

    function (see Theorem 1.2). It is then shown that a (not necessarily proper) generator of a semigroup of Herz–Schur multipliers splits into a positive definite kernel and a conditionally negative definite kernel. We also show that the generator has a particularly pleasant form if and only if the group...

  10. The generalization of the Schur multipliers of Bieberbach groups

    Science.gov (United States)

    Masri, Rohaidah; Hassim, Hazzirah Izzati Mat; Sarmin, Nor Haniza; Ali, Nor Muhainiah Mohd; Idrus, Nor'ashiqin Mohd

    2014-12-01

    The Schur multiplier is the second homology group of a group. It has been found to be isomorphic to the kernel of a homomorphism which maps the elements in the exterior square of the group to the elements in its derived subgroup. Meanwhile, a Bieberbach group is a space group which is a discrete cocompact group of isometries of oriented Euclidean space. In this research, the Schur multipliers of Bieberbach groups with cyclic point group of order two of finite dimension are computed.

  11. The Schur algorithm for generalized Schur functions III : J-unitary matrix polynomials on the circle

    NARCIS (Netherlands)

    Alpay, Daniel; Azizov, Tomas; Dijksma, Aad; Langer, Heinz

    2003-01-01

    The main result is that for J = ((1)(0) (0)(-1)) every J-unitary 2 x 2-matrix polynomial on the unit circle is an essentially unique product of elementary J-unitary 2 x 2-matrix polynomials which are either of degree 1 or 2k. This is shown by means of the generalized Schur transformation introduced

  12. Iwahori-Hecke algebras and Schur algebras of the symmetric group

    CERN Document Server

    Mathas, Andrew

    1999-01-01

    This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the q-Schur algebras. The study of these algebras was pioneered by Dipper and James in a series of landmark papers. The primary goal of the book is to classify the blocks and the simple modules of both algebras. The final chapter contains a survey of recent advances and open problems. The main results are proved by showing that the Iwahori-Hecke algebras and q-Schur algebras are cellular algebras (in the sense of Graham and Lehrer). This is proved by exhibiting natural bases of both algebras which are indexed by pairs of standard and semistandard tableaux respectively. Using the machinery of cellular algebras, which is developed in Chapter 2, this results in a clean and elegant classification of the irreducible representations of both algebras. The block theory is approached by first proving an analogue of the Jantzen sum formula for the q-Schur algebras. T...

  13. Plethysms, replicated Schur functions and series, with applications to vertex operators

    International Nuclear Information System (INIS)

    Fauser, Bertfried; Jarvis, Peter D; King, Ronald C

    2010-01-01

    Specializations of Schur functions are exploited to define and evaluate the Schur functions s λ [αX] and plethysms s λ [αs ν (X))] for any α-integer, real or complex. Plethysms are then used to define pairs of mutually inverse infinite series of Schur functions, M π and L π , specified by arbitrary partitions π. These are used in turn to define and provide generating functions for formal characters, s (π) λ , of certain groups H π , thereby extending known results for orthogonal and symplectic group characters. Each of these formal characters is then given a vertex operator realization, first in terms of the series M = M (0) and various L p erpendicular σ dual to L σ , and then more explicitly in the exponential form. Finally the replicated form of such vertex operators are written down. The characters of the orthogonal and symplectic groups have been found by Schur [34] and Weyl [35] respectively. The method used is transcendental, and depends on integration over the group manifold. These characters, however, may be obtained by purely algebraic methods,.... This algebraic method would seem to offer a better prospect of successful application to other restricted groups than the method of group integration. Littlewood D E 1944 Phil. Trans. R. Soc. London, Ser. A 239 (809) 392

  14. Endomorphisms on half-sided modular inclusions

    International Nuclear Information System (INIS)

    Svegstrup, Rolf Dyre

    2006-01-01

    In algebraic quantum field theory we consider nets of von Neumann algebras indexed over regions of the space time. Wiesbrock [''Conformal quantum field theory and half-sided modular inclusions of von Neumann algebras,'' Commun. Math. Phys. 158, 537-543 (1993)] has shown that strongly additive nets of von Neumann algebras on the circle are in correspondence with standard half-sided modular inclusions. We show that a finite index endomorphism on a half-sided modular inclusion extends to a finite index endomorphism on the corresponding net of von Neumann algebras on the circle. Moreover, we present another approach to encoding endomorphisms on nets of von Neumann algebras on the circle into half-sided modular inclusions. There is a natural way to associate a weight to a Moebius covariant endomorphism. The properties of this weight have been studied by Bertozzini et al. [''Covariant sectors with infinite dimension and positivity of the energy,'' Commun. Math. Phys. 193, 471-492 (1998)]. In this paper we show the converse, namely, how to associate a Moebius covariant endomorphism to a given weight under certain assumptions, thus obtaining a correspondence between a class of weights on a half-sided modular inclusion and a subclass of the Moebius covariant endomorphisms on the associated net of von Neumann algebras. This allows us to treat Moebius covariant endomorphisms in terms of weights on half-sided modular inclusions. As our aim is to provide a framework for treating endomorphisms on nets of von Neumann algebras in terms of the apparently simpler objects of weights on half-sided modular inclusions, we lastly give some basic results for manipulations with such weights

  15. A bound for the Schur index of irreducible representations of finite groups

    Energy Technology Data Exchange (ETDEWEB)

    Kiselev, D D [M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)

    2013-08-31

    We construct an optimal bound for the Schur index of irreducible complex representations of finite groups over the field of rational numbers, when only the prime divisors of the order of the group are known. We study relationships with compatible and universally compatible extensions of number fields. We give a simpler proof of the well-known Berman-Yamada bound for the Schur index over the field Q{sub p}. Bibliography: 7 titles.

  16. Interpreting quantum coherence through a quantum measurement process

    Science.gov (United States)

    Yao, Yao; Dong, G. H.; Xiao, Xing; Li, Mo; Sun, C. P.

    2017-11-01

    Recently, there has been a renewed interest in the quantification of coherence or other coherencelike concepts within the framework of quantum resource theory. However, rigorously defined or not, the notion of coherence or decoherence has already been used by the community for decades since the advent of quantum theory. Intuitively, the definitions of coherence and decoherence should be two sides of the same coin. Therefore, a natural question is raised: How can the conventional decoherence processes, such as the von Neumann-Lüders (projective) measurement postulation or partially dephasing channels, fit into the bigger picture of the recently established theoretical framework? Here we show that the state collapse rules of the von Neumann or Lüders-type measurements, as special cases of genuinely incoherent operations (GIOs), are consistent with the resource theories of quantum coherence. New hierarchical measures of coherence are proposed for the Lüders-type measurement and their relationship with measurement-dependent discord is addressed. Moreover, utilizing the fixed-point theory for C* algebra, we prove that GIOs indeed represent a particular type of partially dephasing (phase-damping) channels which have a matrix representation based on the Schur product. By virtue of the Stinespring dilation theorem, the physical realizations of incoherent operations are investigated in detail and we find that GIOs in fact constitute the core of strictly incoherent operations and generally incoherent operations and the unspeakable notion of coherence induced by GIOs can be transferred to the theories of speakable coherence by the corresponding permutation or relabeling operators.

  17. Domain decomposition methods and deflated Krylov subspace iterations

    NARCIS (Netherlands)

    Nabben, R.; Vuik, C.

    2006-01-01

    The balancing Neumann-Neumann (BNN) and the additive coarse grid correction (BPS) preconditioner are fast and successful preconditioners within domain decomposition methods for solving partial differential equations. For certain elliptic problems these preconditioners lead to condition numbers which

  18. A learnable parallel processing architecture towards unity of memory and computing.

    Science.gov (United States)

    Li, H; Gao, B; Chen, Z; Zhao, Y; Huang, P; Ye, H; Liu, L; Liu, X; Kang, J

    2015-08-14

    Developing energy-efficient parallel information processing systems beyond von Neumann architecture is a long-standing goal of modern information technologies. The widely used von Neumann computer architecture separates memory and computing units, which leads to energy-hungry data movement when computers work. In order to meet the need of efficient information processing for the data-driven applications such as big data and Internet of Things, an energy-efficient processing architecture beyond von Neumann is critical for the information society. Here we show a non-von Neumann architecture built of resistive switching (RS) devices named "iMemComp", where memory and logic are unified with single-type devices. Leveraging nonvolatile nature and structural parallelism of crossbar RS arrays, we have equipped "iMemComp" with capabilities of computing in parallel and learning user-defined logic functions for large-scale information processing tasks. Such architecture eliminates the energy-hungry data movement in von Neumann computers. Compared with contemporary silicon technology, adder circuits based on "iMemComp" can improve the speed by 76.8% and the power dissipation by 60.3%, together with a 700 times aggressive reduction in the circuit area.

  19. A learnable parallel processing architecture towards unity of memory and computing

    Science.gov (United States)

    Li, H.; Gao, B.; Chen, Z.; Zhao, Y.; Huang, P.; Ye, H.; Liu, L.; Liu, X.; Kang, J.

    2015-08-01

    Developing energy-efficient parallel information processing systems beyond von Neumann architecture is a long-standing goal of modern information technologies. The widely used von Neumann computer architecture separates memory and computing units, which leads to energy-hungry data movement when computers work. In order to meet the need of efficient information processing for the data-driven applications such as big data and Internet of Things, an energy-efficient processing architecture beyond von Neumann is critical for the information society. Here we show a non-von Neumann architecture built of resistive switching (RS) devices named “iMemComp”, where memory and logic are unified with single-type devices. Leveraging nonvolatile nature and structural parallelism of crossbar RS arrays, we have equipped “iMemComp” with capabilities of computing in parallel and learning user-defined logic functions for large-scale information processing tasks. Such architecture eliminates the energy-hungry data movement in von Neumann computers. Compared with contemporary silicon technology, adder circuits based on “iMemComp” can improve the speed by 76.8% and the power dissipation by 60.3%, together with a 700 times aggressive reduction in the circuit area.

  20. Phase-space quantum control

    International Nuclear Information System (INIS)

    Fechner, Susanne

    2008-01-01

    The von Neumann-representation introduced in this thesis describes each laser pulse in a one-to-one manner as a sum of bandwidth-limited, Gaussian laser pulses centered around different points in phase space. These pulses can be regarded as elementary building blocks from which every single laser pulse can be constructed. The von Neumann-representation combines different useful properties for applications in quantum control. First, it is a one-to-one map between the degrees of freedom of the pulse shaper and the phase-space representation of the corresponding shaped laser pulse. In other words: Every possible choice of pulse shaper parameters corresponds to exactly one von Neumann-representation and vice versa. Moreover, since temporal and spectral structures become immediately sizable, the von Neumann-representation, as well as the Husimi- or the Wigner-representations, allows for an intuitive interpretation of the represented laser pulse. (orig.)

  1. Phase-space quantum control; Quantenkontrolle im Zeit-Frequenz-Phasenraum

    Energy Technology Data Exchange (ETDEWEB)

    Fechner, Susanne

    2008-08-06

    The von Neumann-representation introduced in this thesis describes each laser pulse in a one-to-one manner as a sum of bandwidth-limited, Gaussian laser pulses centered around different points in phase space. These pulses can be regarded as elementary building blocks from which every single laser pulse can be constructed. The von Neumann-representation combines different useful properties for applications in quantum control. First, it is a one-to-one map between the degrees of freedom of the pulse shaper and the phase-space representation of the corresponding shaped laser pulse. In other words: Every possible choice of pulse shaper parameters corresponds to exactly one von Neumann-representation and vice versa. Moreover, since temporal and spectral structures become immediately sizable, the von Neumann-representation, as well as the Husimi- or the Wigner-representations, allows for an intuitive interpretation of the represented laser pulse. (orig.)

  2. Anxiety and Politics

    Directory of Open Access Journals (Sweden)

    Franz L Neumann

    2017-06-01

    Franz Leopold Neumann (1900-1954 was a political theorist associated with the Frankfurt School. He obtained a doctoral degree in legal studies at the University of Frankfurt with the dissertation „Rechtsphilosophische Einleitung zu einer Abhandlung über das Verhältnis von Staat und Strafe“ (A Legal-Philosophical Introduction to A Treatise on the Relationship between the State and Punishment. Neumann became the German Social Democratic Party’s (SPD main legal advisor at a time when the Nazis and Hitler gained strength in Germany. At the time when Hitler came to power in 1933, the legal office had to be closed and Neumann had to flee from Germany. In London, he in 1936 obtained his second doctoral degree from the London School of Economics with the work “The Governance of the Rule of Law” under the supervision of Harold Laski and Karl Mannheim. Neumann moved to New York in 1936, where he became a member of the Institute of Social Research (also known as the “Frankfurt School” that was then in exile in the USA. In 1942, he started working for the Office of Strategic Service (OSS, where he together with Herbert Marcuse and Otto Kirchheimer analysed Nazi Germany. In 1942, Neumann published his main book is Behemoth: The Structure and Practice of National Socialism, 1933–1944 (2nd, updated edition published in 1944, one of the most profound analyses of Nazi Germany’s political economy and ideology. Franz L. Neumann died in 1954 in a car accident.

  3. Schur spaces and weighted spaces of type H

    African Journals Online (AJOL)

    We extend some results related to composition operators on Hv(G) to arbitrary linear operators on Hv0 (G) and Hv(G). We also give examples of rank-one operators on Hv(G) which cannot be approximated by composition operators. Keywords: Weighted Banach spaces of holomorphic functions, Schur spaces, weakly ...

  4. Spilteorien og (et par af) dens fædre

    DEFF Research Database (Denmark)

    Hansen, Sune Welling

    2011-01-01

    Boganmeldelse af Robert Leonard's "Von Neumann, Morgenstern, and the Creation of Game Theory: From Chess to Social Science, 1900-1960". Cambridge University Press.......Boganmeldelse af Robert Leonard's "Von Neumann, Morgenstern, and the Creation of Game Theory: From Chess to Social Science, 1900-1960". Cambridge University Press....

  5. Weakly Intuitionistic Quantum Logic

    NARCIS (Netherlands)

    Hermens, Ronnie

    2013-01-01

    In this article von Neumann's proposal that in quantum mechanics projections can be seen as propositions is followed. However, the quantum logic derived by Birkhoff and von Neumann is rejected due to the failure of the law of distributivity. The options for constructing a distributive logic while

  6. Bohrification of operator algebras and quantum logic

    NARCIS (Netherlands)

    Heunen, C.; Landsman, N.P.; Spitters, B.A.W.

    2012-01-01

    Following Birkhoff and von Neumann, quantum logic has traditionally been based on the lattice of closed linear subspaces of some Hilbert space, or, more generally, on the lattice of projections in a von Neumann algebra A. Unfortunately, the logical interpretation of these lattices is impaired by

  7. Bohrification of operator algebras and quantum logic

    NARCIS (Netherlands)

    Heunen, C.; Landsman, N.P.; Spitters, B.A.W.

    2009-01-01

    Following Birkhoff and von Neumann, quantum logic has traditionally been based on the lattice of closed linear subspaces of some Hilbert space, or, more generally, on the lattice of projections in a von Neumann algebra A. Unfortunately, the logical interpretation of these lattices is impaired by

  8. ALGUNAS PROPIEDADES COMBINATORIAS DE LOS POLINOMIOS SIMÉTRICOS Y CÓMPUTO DE POLINOMIOS DE SCHUR OBLICUOS

    Directory of Open Access Journals (Sweden)

    Fernando Novoa

    2005-06-01

    Full Text Available Presentamos algunas rutinas de un programa para el sistema computacional CoCoA, las cuales realizan el cómputo de familias de polinomios de simétricos, entre ellas los polinomios de Schur. Con estas rutinas se pueden comprobar propiedades combinatorias que relacionan tablas de Young y polinomios skew de Schur.

  9. The steady-state of the (Normalized) LMS is schur convex

    KAUST Repository

    Al-Hujaili, Khaled A.

    2016-06-24

    In this work, we demonstrate how the theory of majorization and schur-convexity can be used to assess the impact of input-spread on the Mean Squares Error (MSE) performance of adaptive filters. First, we show that the concept of majorization can be utilized to measure the spread in input-regressors and subsequently order the input-regressors according to their spread. Second, we prove that the MSE of the Least Mean Squares Error (LMS) and Normalized LMS (NLMS) algorithms are schur-convex, that is, the MSE of the LMS and the NLMS algorithms preserve the majorization order of the inputs which provide an analytical justification to why and how much the MSE performance of the LMS and the NLMS algorithms deteriorate as the spread in input increases. © 2016 IEEE.

  10. The steady-state of the (Normalized) LMS is schur convex

    KAUST Repository

    Al-Hujaili, Khaled A.; Al-Naffouri, Tareq Y.; Moinuddin, Muhammad

    2016-01-01

    In this work, we demonstrate how the theory of majorization and schur-convexity can be used to assess the impact of input-spread on the Mean Squares Error (MSE) performance of adaptive filters. First, we show that the concept of majorization can be utilized to measure the spread in input-regressors and subsequently order the input-regressors according to their spread. Second, we prove that the MSE of the Least Mean Squares Error (LMS) and Normalized LMS (NLMS) algorithms are schur-convex, that is, the MSE of the LMS and the NLMS algorithms preserve the majorization order of the inputs which provide an analytical justification to why and how much the MSE performance of the LMS and the NLMS algorithms deteriorate as the spread in input increases. © 2016 IEEE.

  11. Quantum privacy and Schur product channels

    Science.gov (United States)

    Levick, Jeremy; Kribs, David W.; Pereira, Rajesh

    2017-12-01

    We investigate the quantum privacy properties of an important class of quantum channels, by making use of a connection with Schur product matrix operations and associated correlation matrix structures. For channels implemented by mutually commuting unitaries, which cannot privatise qubits encoded directly into subspaces, we nevertheless identify private algebras and subsystems that can be privatised by the channels. We also obtain further results by combining our analysis with tools from the theory of quasi-orthogonal operator algebras and graph theory.

  12. Boundedness for a system of reaction-diffusion equations with more general Arrhenius term. Pt. 1

    International Nuclear Information System (INIS)

    Okoya, S.S.

    1992-11-01

    In this paper, we consider an extended model of a coupled nonlinear reaction-diffusion equation with Neumann-Neumann boundary conditions. We obtain upper linear growth bound for one of the components. We also find the corresponding bound for the case of Dirichlet-Dirichlet boundary conditions. (author). 12 refs

  13. The Wehrl entropy has Gaussian optimizers

    DEFF Research Database (Denmark)

    De Palma, Giacomo

    2018-01-01

    We determine the minimum Wehrl entropy among the quantum states with a given von Neumann entropy and prove that it is achieved by thermal Gaussian states. This result determines the relation between the von Neumann and the Wehrl entropies. The key idea is proving that the quantum-classical channel...

  14. Additive derivations on algebras of measurable operators

    International Nuclear Information System (INIS)

    Ayupov, Sh.A.; Kudaybergenov, K.K.

    2009-08-01

    Given a von Neumann algebra M we introduce the so-called central extension mix(M) of M. We show that mix(M) is a *-subalgebra in the algebra LS(M) of all locally measurable operators with respect to M, and this algebra coincides with LS(M) if and only if M does not admit type II direct summands. We prove that if M is a properly infinite von Neumann algebra then every additive derivation on the algebra mix(M) is inner. This implies that on the algebra LS(M), where M is a type I ∞ or a type III von Neumann algebra, all additive derivations are inner derivations. (author)

  15. Integrable systems from membranes on AdS4 x S7

    International Nuclear Information System (INIS)

    Bozhilov, P.

    2008-01-01

    We describe how Neumann and Neumann-Rosochatius type integrable systems, as well as the continuous limit of the SU(2) integrable spin chain, can be obtained from membranes on AdS 4 x S 7 background, in the framework of AdS/CFT correspondence. (Abstract Copyright [2008], Wiley Periodicals, Inc.)

  16. Spin–spin entanglement in moving frames: Properties of negativity

    Indian Academy of Sciences (India)

    [8,9], cryptography [10,11], etc. In all such applications, generation and quantification of entanglement are of fundamental importance. To this end, quantification of entan- gled pure states (ensembles) is settled; for instance, through the von Neumann entropy. [12–16]. The von Neumann entropy has indeed the advantage of ...

  17. A three-point Taylor algorithm for three-point boundary value problems

    NARCIS (Netherlands)

    J.L. López; E. Pérez Sinusía; N.M. Temme (Nico)

    2011-01-01

    textabstractWe consider second-order linear differential equations $\\varphi(x)y''+f(x)y'+g(x)y=h(x)$ in the interval $(-1,1)$ with Dirichlet, Neumann or mixed Dirichlet-Neumann boundary conditions given at three points of the interval: the two extreme points $x=\\pm 1$ and an interior point

  18. Hilbert space theory of classical electrodynamics

    Indian Academy of Sciences (India)

    Hilbert space; Koopman–von Neumann theory; classical electrodynamics. PACS No. 03.50. ... The paper is divided into four sections. Section 2 .... construction of Sudarshan is to be contrasted with that of Koopman and von Neumann. ..... ture from KvN and [16] in this formulation is to define new momentum and coordinate.

  19. Strong diamagnetism for general domains and applications

    DEFF Research Database (Denmark)

    Fournais, Søren; Helffer, Bernard

    2007-01-01

    We consider the Neumann Laplacian with constant magnetic field on a regular domain. Let $B$ be the strength of the magnetic field, and let $\\lambda_1(B)$ be the first eigenvalue of the magnetic Neumann Laplacian on the domain. It is proved that $B \\mapsto \\lambda_1(B)$ is monotone increasing for ...

  20. Kadison-Kastler stable factors

    DEFF Research Database (Denmark)

    Cameron, Jan; Christensen, Erik; Sinclair, Allan M.

    2014-01-01

    It is proven that a pair of continuous finite von Neumann algebra factors are unitarily equivalent if sufficiently close and one satisfies a certain cohomological condition.......It is proven that a pair of continuous finite von Neumann algebra factors are unitarily equivalent if sufficiently close and one satisfies a certain cohomological condition....

  1. Ultraproducts of von Neumann algebras

    DEFF Research Database (Denmark)

    Ando, Hiroshi; Haagerup, Uffe

    2014-01-01

    this connection, we show that the ultraproduct action of the modular automorphism group of a normal faithful state φ of M   on the Ocneanu ultraproduct is the modular automorphism group of the ultrapower state (... that the ultrapower MωMω of a Type III0 factor is never a factor. Moreover we settle in the affirmative a recent problem by Ueda about the connection between the relative commutant of M   in MωMω and Connes' asymptotic centralizer algebra MωMω....

  2. On the range of completely bounded maps

    Directory of Open Access Journals (Sweden)

    Richard I. Loebl

    1978-01-01

    Full Text Available It is shown that if every bounded linear map from a C*-algebra α to a von Neumann algebra β is completely bounded, then either α is finite-dimensional or β⫅⊗Mn, where is a commutative von Neumann algebra and Mn is the algebra of n×n complex matrices.

  3. More comments on superstring interactions in the pp-wave background

    International Nuclear Information System (INIS)

    Pankiewicz, Ari

    2002-01-01

    We reconsider light-cone superstring field theory on the maximally supersymmetric pp-wave background. We find that the results for the fermionic Neumann matrices given so far in the literature are incomplete and verify our expressions by relating them to the bosonic Neumann matrices and proving several non-trivial consistency conditions among them, as for example the generalization of a flat space factorization theorem for the bosonic Neumann matrices. We also study the bosonic and fermionic constituents of the prefactor and point out a subtlety in the relation between continuum and oscillator basis expressions. We give a proof that a recent proposal to use a different fermionic zero-mode vertex, leads to inconsistencies not visible in supergravity. (author)

  4. Applications of majorization and Schur functions in reliability and life testing

    International Nuclear Information System (INIS)

    Proschan, F.

    1975-01-01

    This is an expository paper presenting basic definitions and properties of majorization and Schur functions, and displaying a variety of applications of these concepts in reliability prediction and modelling, and in reliability inference and life testing

  5. The Role of Antisociality in the Psychopathy Construct: Comment on Skeem and Cooke (2010)

    Science.gov (United States)

    Hare, Robert D.; Neumann, Craig S.

    2010-01-01

    J. Skeem and D. J. Cooke (2010) asserted that Hare and Neumann consider criminality to be an essential component of the psychopathy construct. The assertion, presented in the guise of a debate on the nature of psychopathy, is neither accurate nor consistent with the clinical and empirical literature on psychopathy to which Hare and Neumann have…

  6. Applications of automata and graphs: Labeling operators in Hilbert space. II

    International Nuclear Information System (INIS)

    Cho, Ilwoo; Jorgensen, Palle E. T.

    2009-01-01

    We introduced a family of infinite graphs directly associated with a class of von Neumann automaton model A G . These are finite state models used in symbolic dynamics: stimuli models and in control theory. In the context of groupoid von Neumann algebras, and an associated fractal group, we prove a classification theorem for representations of automata.

  7. Restricted flows of soliton hierarchies: coupled KdV and Harry-Dym case

    International Nuclear Information System (INIS)

    Antonowicz, M.; Rauch-Wojciechowski, S.

    1991-01-01

    Restricted flows of soliton hierarchies associated to the energy dependent Schroedinger spectral problem are determined explicitely. A remarkable connection with separable potentials is used for proving complete integrability of the restricted flows. A previously unknown lagrangian and hamiltonian formulation of the Neumann system is found. Whole families of generalizations of the Neumann and Garnier systems are given. (au)

  8. Schur rings and non-symmetric association schemes on 64 vertices

    DEFF Research Database (Denmark)

    Jørgensen, Leif Kjær

    2010-01-01

    In this paper we enumerate essentially all non-symmetric association schemes with three classes, less than 96 vertices and with a regular group of automorphisms. The enumeration is based on a computer search in Schur rings. The most interesting cases have 64 vertices. In one primitive case and in...

  9. Type II1 factors satisfying the spatial isomorphism conjecture

    DEFF Research Database (Denmark)

    Cameron, Jan; Christensen, Erik; Sinclair, Allan M.

    2012-01-01

    Det vises at hvis et par af von Neumann algebraer er tilstrækkeligt tæt på hinanden i Hausdorff-metrikken, og den ene er en II1 faktor, som er et krydset produkt af en abelsk von Neumann algebra med en gruuppvirkning af en gruppe men triviel begrænset kohomologi, så er de to algebraer unitært...

  10. Quantum leaps in philosophy of mind: Reply to Bourget'scritique

    Energy Technology Data Exchange (ETDEWEB)

    Stapp, Henry P.

    2004-07-26

    David Bourget has raised some conceptual and technical objections to my development of von Neumann's treatment of the Copenhagen idea that the purely physical process described by the Schroedinger equation must be supplemented by a psychophysical process called the choice of the experiment by Bohr and Process 1 by von Neumann. I answer here each of Bourget's objections.

  11. Counting paths with Schur transitions

    Energy Technology Data Exchange (ETDEWEB)

    Díaz, Pablo [Department of Physics and Astronomy, University of Lethbridge, Lethbridge, Alberta, T1K 3M4 (Canada); Kemp, Garreth [Department of Physics, University of Johannesburg, P.O. Box 524, Auckland Park 2006 (South Africa); Véliz-Osorio, Alvaro, E-mail: aveliz@gmail.com [Mandelstam Institute for Theoretical Physics, University of the Witwatersrand, WITS 2050, Johannesburg (South Africa); School of Physics and Astronomy, Queen Mary, University of London, Mile End Road, London E1 4NS (United Kingdom)

    2016-10-15

    In this work we explore the structure of the branching graph of the unitary group using Schur transitions. We find that these transitions suggest a new combinatorial expression for counting paths in the branching graph. This formula, which is valid for any rank of the unitary group, reproduces known asymptotic results. We proceed to establish the general validity of this expression by a formal proof. The form of this equation strongly hints towards a quantum generalization. Thus, we introduce a notion of quantum relative dimension and subject it to the appropriate consistency tests. This new quantity finds its natural environment in the context of RCFTs and fractional statistics; where the already established notion of quantum dimension has proven to be of great physical importance.

  12. West German Rearmament: From Enemy to Ally in Ten Short Years

    Science.gov (United States)

    1988-01-01

    1%5. Foerster, Roland G.; Greiner , Christian; Meyer, Georg; Rautenberg, Hans-Jurgen: and Wiggershaus, Norbert. Anfange estdeuscher Sicherhei4oolink...New York: Simon and Schuster, 1972. Noelle, Elisabeth and Neumann, Erich Peter, eds. The Germans: Public Opinion Polls 1947 - 1966. Trans. Gerard...Norton and Company, Incorporated. 1962 Noelle, Elisabeth and Neumann, Erich Peter, eds. labrfuch der OffenBt/ichen MeinunvA 17- 19M Trans. Gerard Finan

  13. Entropy type complexity of quantum processes

    International Nuclear Information System (INIS)

    Watanabe, Noboru

    2014-01-01

    von Neumann entropy represents the amount of information in the quantum state, and this was extended by Ohya for general quantum systems [10]. Umegaki first defined the quantum relative entropy for σ-finite von Neumann algebras, which was extended by Araki, and Uhlmann, for general von Neumann algebras and *-algebras, respectively. In 1983 Ohya introduced the quantum mutual entropy by using compound states; this describes the amount of information correctly transmitted through the quantum channel, which was also extended by Ohya for general quantum systems. In this paper, we briefly explain Ohya's S-mixing entropy and the quantum mutual entropy for general quantum systems. By using structure equivalent class, we will introduce entropy type functionals based on quantum information theory to improve treatment for the Gaussian communication process. (paper)

  14. A Parallel Non-Overlapping Domain-Decomposition Algorithm for Compressible Fluid Flow Problems on Triangulated Domains

    Science.gov (United States)

    Barth, Timothy J.; Chan, Tony F.; Tang, Wei-Pai

    1998-01-01

    This paper considers an algebraic preconditioning algorithm for hyperbolic-elliptic fluid flow problems. The algorithm is based on a parallel non-overlapping Schur complement domain-decomposition technique for triangulated domains. In the Schur complement technique, the triangulation is first partitioned into a number of non-overlapping subdomains and interfaces. This suggests a reordering of triangulation vertices which separates subdomain and interface solution unknowns. The reordering induces a natural 2 x 2 block partitioning of the discretization matrix. Exact LU factorization of this block system yields a Schur complement matrix which couples subdomains and the interface together. The remaining sections of this paper present a family of approximate techniques for both constructing and applying the Schur complement as a domain-decomposition preconditioner. The approximate Schur complement serves as an algebraic coarse space operator, thus avoiding the known difficulties associated with the direct formation of a coarse space discretization. In developing Schur complement approximations, particular attention has been given to improving sequential and parallel efficiency of implementations without significantly degrading the quality of the preconditioner. A computer code based on these developments has been tested on the IBM SP2 using MPI message passing protocol. A number of 2-D calculations are presented for both scalar advection-diffusion equations as well as the Euler equations governing compressible fluid flow to demonstrate performance of the preconditioning algorithm.

  15. An integrodifferential model for phase transitions: stationary solutions in higher dimensions

    Science.gov (United States)

    Cortazar, Carmen; Elgueta, Manuel; Rossi, Julio D.; Wolanski, Noemi

    2008-01-01

    We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family of nonlocal diffusion operators when a rescaling parameter related to the kernel of the nonlocal operator goes to zero. We prove that the solutions of this family of problems converge to a solution of the heat equation with Neumann boundary conditions.

  16. Measurement Theory and the Foundations of Utilitarianism

    OpenAIRE

    John a. Weymark

    2004-01-01

    Harsanyi used expected utility theory to provide two axiomatizations of weighted utilitarian rules. Sen (and later, Weymark) has argued that Harsanyi has not, in fact, axiomatized utilitarianism because he has misapplied expected utility theory. Specifically, Sen and Weymark have argued that von Neumann-Morgenstern expected utility theory is an ordinal theory and, therefore, any increasing transform of a von Neumann-Morgenstern utility function is a satisfactory representation of a preference...

  17. Gregory Bateson and the mathematicians: from interdisciplinary interaction to societal functions.

    Science.gov (United States)

    Heims, S P

    1977-04-01

    An instance of fruitful cross-disciplinary contacts is examined in detail. The ideas involved include (1) the double-blind hypothesis for schizophrenia, (2) the critique of game theory from the viewpoint of anthropology and psychiatry, and (3) the application of concepts of communication theory and theory of logical types to an interpretation of psychoanalytic practice. The protagonists of the interchange are Gregory Bateson and the two mathematicians Norbert Wiener and John von Neumann; the date, March 1946. This interchange and its sequels are described. While the interchanges between Bateson and Wiener were fruitful, those between Bateson and von Neumann were much less so. The latter two held conflicting premises concerning what is significant in science; Bateson's and Wiener's were compatible. In 1946, Wiener suggested that information and communication might be appropriate central concepts for psychoanalytic theory--a vague general idea which Bateson (with Ruesch) related to contemporary clinical practice. For Bateson, Wiener, and von Neumann, the cross-disciplinary interactions foreshadowed a shift in activities and new roles in society, to which the post World War II period was conducive. Von Neumann became a high-level government advisor; Wiener, an interpreter of science and technology for the general public; and Bateson a counter-culture figure.

  18. Nonlinear reflection of shock shear waves in soft elastic media.

    Science.gov (United States)

    Pinton, Gianmarco; Coulouvrat, François; Gennisson, Jean-Luc; Tanter, Mickaël

    2010-02-01

    For fluids, the theoretical investigation of shock wave reflection has a good agreement with experiments when the incident shock Mach number is large. But when it is small, theory predicts that Mach reflections are physically unrealistic, which contradicts experimental evidence. This von Neumann paradox is investigated for shear shock waves in soft elastic solids with theory and simulations. The nonlinear elastic wave equation is approximated by a paraxial wave equation with a cubic nonlinear term. This equation is solved numerically with finite differences and the Godunov scheme. Three reflection regimes are observed. Theory is developed for shock propagation by applying the Rankine-Hugoniot relations and entropic constraints. A characteristic parameter relating diffraction and non-linearity is introduced and its theoretical values are shown to match numerical observations. The numerical solution is then applied to von Neumann reflection, where curved reflected and Mach shocks are observed. Finally, the case of weak von Neumann reflection, where there is no reflected shock, is examined. The smooth but non-monotonic transition between these three reflection regimes, from linear Snell-Descartes to perfect grazing case, provides a solution to the acoustical von Neumann paradox for the shear wave equation. This transition is similar to the quadratic non-linearity in fluids.

  19. Quantum effective action in spacetimes with branes and boundaries

    International Nuclear Information System (INIS)

    Barvinsky, A.O.; Nesterov, D.V.

    2006-01-01

    We construct quantum effective action in spacetime with branes/boundaries. This construction is based on the reduction of the underlying Neumann type boundary value problem for the propagator of the theory to that of the much more manageable Dirichlet problem. In its turn, this reduction follows from the recently suggested Neumann-Dirichlet duality which we extend beyond the tree-level approximation. In the one-loop approximation this duality suggests that the functional determinant of the differential operator subject to Neumann boundary conditions factorizes into the product of its Dirichlet counterpart and the functional determinant of a special operator on the brane--the inverse of the brane-to-brane propagator. As a byproduct of this relation we suggest a new method for surface terms of the heat kernel expansion. This method allows one to circumvent well-known difficulties in the heat kernel theory on manifolds with boundaries for a wide class of generalized Neumann boundary conditions. In particular, we easily recover several lowest-order surface terms in the case of Robin and oblique boundary onditions. We briefly discuss multiloop applications of the suggested Dirichlet reduction and the prospects of constructing the universal background-field method for systems with branes/boundaries, analogous to the Schwinger-DeWitt technique

  20. Von-Neumann and Beyond: Memristor Architectures

    KAUST Repository

    Naous, Rawan

    2017-01-01

    and probabilistic analysis for Boolean logic operators and correspondingly incorporate them into arithmetic blocks. Gate- and system-level accuracy of operation is presented to convey configurability and the different effects that the unreliability of the underlying

  1. Measurements and von Neumann projection/collapse

    Indian Academy of Sciences (India)

    In §4, we briefly recall the essential features of supmech and in §5, a supmech- based treatment .... necessary: a better procedure is to introduce density operators for the pointer states and take into ..... Dynamics in supmech is described (in the Heisenberg-type picture) by a one-parameter family t of ...... The the word 'provi-.

  2. Matrix units and Schur elements for the degenerate cyclotomic Hecke algebras

    OpenAIRE

    Zhao, Deke

    2011-01-01

    The paper uses the cellular basis of the (semi-simple) degenerate cyclotomic Hecke algebras to investigate these algebras exhaustively. As a consequence, we describe explicitly the "Young's seminormal form" and a orthogonal bases for Specht modules and determine explicitly the closed formula for the natural bilinear form on Specht modules and Schur elements for the degenerate cyclotomic Hekce algebras.

  3. Tracking gauge symmetry factorizability on intervals

    International Nuclear Information System (INIS)

    Ngoc-Khanh Tran

    2006-01-01

    We track the gauge symmetry breaking pattern by boundary conditions on fifth and higher-dimensional intervals. It is found that, with Dirichlet-Neumann boundary conditions, the Kaluza-Klein decomposition in five-dimension for arbitrary gauge group can always be factorized into that for separate subsets of at most two gauge symmetries, and so is completely solvable. Accordingly, we present a simple and systematic geometric method to unambiguously identify the gauge breaking/mixing content by general set of Dirichlet-Neumann boundary conditions. We then formulate a limit theorem on gauge symmetry factorizability to recapitulate this interesting feature. Albeit the breaking/mixing, a particularly simple check of orthogonality and normalization of fields' modes in effective 4-dim picture is explicitly obtained. An interesting chained-mixing of gauge symmetries in higher dimensions by Dirichlet-Neumann boundary conditions is also explicitly constructed. This study has direct applications to higgsless/GUT model building

  4. Indefinite inner product spaces, Schur analysis, and differential equations a volume dedicated to Heinz Langer

    CERN Document Server

    Kirstein, Bernd

    2018-01-01

    This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role. The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.  .

  5. In-situ, In-Memory Stateful Vector Logic Operations based on Voltage Controlled Magnetic Anisotropy.

    Science.gov (United States)

    Jaiswal, Akhilesh; Agrawal, Amogh; Roy, Kaushik

    2018-04-10

    Recently, the exponential increase in compute requirements demanded by emerging applications like artificial intelligence, Internet of things, etc. have rendered the state-of-art von-Neumann machines inefficient in terms of energy and throughput owing to the well-known von-Neumann bottleneck. A promising approach to mitigate the bottleneck is to do computations as close to the memory units as possible. One extreme possibility is to do in-situ Boolean logic computations by using stateful devices. Stateful devices are those that can act both as a compute engine and storage device, simultaneously. We propose such stateful, vector, in-memory operations using voltage controlled magnetic anisotropy (VCMA) effect in magnetic tunnel junctions (MTJ). Our proposal is based on the well known manufacturable 1-transistor - 1-MTJ bit-cell and does not require any modifications in the bit-cell circuit or the magnetic device. Instead, we leverage the very physics of the VCMA effect to enable stateful computations. Specifically, we exploit the voltage asymmetry of the VCMA effect to construct stateful IMP (implication) gate and use the precessional switching dynamics of the VCMA devices to propose a massively parallel NOT operation. Further, we show that other gates like AND, OR, NAND, NOR, NIMP (complement of implication) can be implemented using multi-cycle operations.

  6. Path integral solution of linear second order partial differential equations I: the general construction

    International Nuclear Information System (INIS)

    LaChapelle, J.

    2004-01-01

    A path integral is presented that solves a general class of linear second order partial differential equations with Dirichlet/Neumann boundary conditions. Elementary kernels are constructed for both Dirichlet and Neumann boundary conditions. The general solution can be specialized to solve elliptic, parabolic, and hyperbolic partial differential equations with boundary conditions. This extends the well-known path integral solution of the Schroedinger/diffusion equation in unbounded space. The construction is based on a framework for functional integration introduced by Cartier/DeWitt-Morette

  7. Iterative numerical solution of scattering problems

    International Nuclear Information System (INIS)

    Tomio, L.; Adhikari, S.K.

    1995-05-01

    An iterative Neumann series method, employing a real auxiliary scattering integral equation, is used to calculate scattering lengths and phase shifts for the atomic Yukawa and exponential potentials. For these potentials the original Neumann series diverges. The present iterative method yields results that are far better, in convergence, stability and precision, than other momentum space methods. Accurate result is obtained in both cases with an estimated error of about 1 in 10 10 after some-8-10 iterations. (author). 31 refs, 2 tabs

  8. ゲーム理論の歴史と現在 : 人間行動の解明を目指して

    OpenAIRE

    岡田, 章

    2007-01-01

    This paper considers the history of game theory since von Neumann and Morgenstern published their monumental work The Theory of Games and Economic Behavior in 1944. It points out changes in research themes and discusses what game theory has achieved up to the present. The aim of von Neumann and Morgenstern was "to find the mathematically complete principles which define rational behavior for the participants in a social economy, and to derive from them the general characteristics of that beha...

  9. ゲーム リロン ノ レキシ ト ゲンザイ : ニンゲン コウドウ ノ カイメイ オ メザシテ

    OpenAIRE

    岡田, 章

    2007-01-01

    This paper considers the history of game theory since von Neumann and Morgenstern published their monumental work The Theory of Games and Economic Behavior in 1944. It points out changes in research themes and discusses what game theory has achieved up to the present. The aim of von Neumann and Morgenstern was "to find the mathematically complete principles which define rational behavior for the participants in a social economy, and to derive from them the general characteristics of that beha...

  10. Boundary operators in effective string theory

    Energy Technology Data Exchange (ETDEWEB)

    Hellerman, Simeon [Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo,Kashiwa, Chiba 277-8582 (Japan); Swanson, Ian [Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo,Kashiwa, Chiba 277-8582 (Japan)

    2017-04-13

    Various universal features of relativistic rotating strings depend on the organization of allowed local operators on the worldsheet. In this paper, we study the set of Neumann boundary operators in effective string theory, which are relevant for the controlled study of open relativistic strings with freely moving endpoints. Relativistic open strings are thought to encode the dynamics of confined quark-antiquark pairs in gauge theories in the planar approximation. Neumann boundary operators can be organized by their behavior under scaling of the target space coordinates X{sup μ}, and the set of allowed X-scaling exponents is bounded above by +1/2 and unbounded below. Negative contributions to X-scalings come from powers of a single invariant, or “dressing' operator, which is bilinear in the embedding coordinates. In particular, we show that all Neumann boundary operators are dressed by quarter-integer powers of this invariant, and we demonstrate how this rule arises from various ways of regulating the short-distance singularities of the effective theory.

  11. Classical solutions of two dimensional Stokes problems on non smooth domains. 1: The Radon integral operators

    International Nuclear Information System (INIS)

    Lubuma, M.S.

    1991-05-01

    The applicability of the Neumann indirect method of potentials to the Dirichlet and Neumann problems for the two-dimensional Stokes operator on a non smooth boundary Γ is subject to two kinds of sufficient and/or necessary conditions on Γ. The first one, occurring in electrostatic, is equivalent to the boundedness on C(Γ) of the velocity double layer potential W as well as to the existence of jump relations of potentials. The second condition, which forces Γ to be a simple rectifiable curve and which, compared to the Laplacian, is a stronger restriction on the corners of Γ, states that the Fredholm radius of W is greater than 2. Under these conditions, the Radon boundary integral equations defined by the above mentioned jump relations are solvable by the Fredholm theory; the double (for Dirichlet) and the single (for Neumann) layer potentials corresponding to their solutions are classical solutions of the Stokes problems. (author). 48 refs

  12. Data completion problems solved as Nash games

    International Nuclear Information System (INIS)

    Habbal, A; Kallel, M

    2012-01-01

    The Cauchy problem for an elliptic operator is formulated as a two-player Nash game. Player (1) is given the known Dirichlet data, and uses as strategy variable the Neumann condition prescribed over the inaccessible part of the boundary. Player (2) is given the known Neumann data, and plays with the Dirichlet condition prescribed over the inaccessible boundary. The two players solve in parallel the associated Boundary Value Problems. Their respective objectives involve the gap between the non used Neumann/Dirichlet known data and the traces of the BVP's solutions over the accessible boundary, and are coupled through a difference term. We prove the existence of a unique Nash equilibrium, which turns out to be the reconstructed data when the Cauchy problem has a solution. We also prove that the completion algorithm is stable with respect to noise, and present two 3D experiments which illustrate the efficiency and stability of our algorithm.

  13. Probabilistic Teleportation of an Unknown One-Particle State by a Three-Particle General W State

    International Nuclear Information System (INIS)

    Xiu Xiaoming; Dong Li; Gao Yajun

    2007-01-01

    Two schemes for teleporting an unknown one-particle state are proposed when a general W state is utilized as quantum channel. In the first scheme, after the sender (Alice) makes a Bell-state measurement on her particles, the recipient (Bob) performs a Von Neumann measurement and introduces an auxiliary particle, and carries out a unitary transformation on his particle and the auxiliary particle, and performs a Von Neumann measurement on the auxiliary particle to confirm whether the teleportation succeeds or not. In the second scheme, the recipient (Bob) does not need to perform the first Von Neumann measurement or introduce the auxiliary particle, which is necessary in the first scheme. It is shown that the maximal probabilities of successful teleportation of the two schemes are identical if the recipient (Bob) performs an appropriate unitary transformation and adopts a proper particle on which he recovers the quantum information of state to be teleported.

  14. Probabilistic Teleportation of an Unknown One-Particle State by a Three-Particle General W State

    Institute of Scientific and Technical Information of China (English)

    XIU Xiao-Ming; DONG Li; GAO Ya-Jun

    2007-01-01

    Two schemes for teleporting an unknown one-particle state are proposed when a general W state is utilized as quantum channel.In the first scheme,after the sender (Alice) makes a Bell-state measurement on her particles,the recipient (Bob) performs a Von Neumann measurement and introduces an auxiliary particle,and carries out a unitary transformation on his particle and the auxiliary particle,and performs a Von Neumann measurement on the auxiliary particle to confirm whether the teleportation succeeds or not.In the second scheme,the recipient (Bob) does not need to perform the first Von Neumann measurement or introduce the auxiliary particle,which is necessary in the first scheme.It is shown that the maximal probabilities of successful teleportation of the two schemes are identical if the recipient (Bob) performs an appropriate unitary transformation and adopts a proper particle on which he recovers the quantum information of state to be teleported.

  15. Quantum chaos: entropy signatures

    International Nuclear Information System (INIS)

    Miller, P.A.; Sarkar, S.; Zarum, R.

    1998-01-01

    A definition of quantum chaos is given in terms of entropy production rates for a quantum system coupled weakly to a reservoir. This allows the treatment of classical and quantum chaos on the same footing. In the quantum theory the entropy considered is the von Neumann entropy and in classical systems it is the Gibbs entropy. The rate of change of the coarse-grained Gibbs entropy of the classical system with time is given by the Kolmogorov-Sinai (KS) entropy. The relation between KS entropy and the rate of change of von Neumann entropy is investigated for the kicked rotator. For a system which is classically chaotic there is a linear relationship between these two entropies. Moreover it is possible to construct contour plots for the local KS entropy and compare it with the corresponding plots for the rate of change of von Neumann entropy. The quantitative and qualitative similarities of these plots are discussed for the standard map (kicked rotor) and the generalised cat maps. (author)

  16. Iterative numerical solution of scattering problems

    Energy Technology Data Exchange (ETDEWEB)

    Tomio, L; Adhikari, S K

    1995-05-01

    An iterative Neumann series method, employing a real auxiliary scattering integral equation, is used to calculate scattering lengths and phase shifts for the atomic Yukawa and exponential potentials. For these potentials the original Neumann series diverges. The present iterative method yields results that are far better, in convergence, stability and precision, than other momentum space methods. Accurate result is obtained in both cases with an estimated error of about 1 in 10{sup 10} after some-8-10 iterations. (author). 31 refs, 2 tabs.

  17. Algebraic and algorithmic frameworks for optimized quantum measurements

    DEFF Research Database (Denmark)

    Laghaout, Amine; Andersen, Ulrik Lund

    2015-01-01

    von Neumann projections are the main operations by which information can be extracted from the quantum to the classical realm. They are, however, static processes that do not adapt to the states they measure. Advances in the field of adaptive measurement have shown that this limitation can...... be overcome by "wrapping" the von Neumann projectors in a higher-dimensional circuit which exploits the interplay between measurement outcomes and measurement settings. Unfortunately, the design of adaptive measurement has often been ad hoc and setup specific. We shall here develop a unified framework...

  18. Periodic Schur process, cylindric partitions and N=2* theory

    International Nuclear Information System (INIS)

    Iqbal, Amer; Kozcaz, Can; Sohail, Tanweer

    2011-01-01

    Type IIA string theory compactified on an elliptic CY3-fold gives rise to N=2U(1) gauge theory with an adjoint hypermultiplet. We study the refined open and closed topological string partition functions of this geometry using the refined topological vertex. We show that these partition functions, open and closed, are examples of periodic Schur process and are related to the generating function of the cylindric partitions if the Kaehler parameters are quantized in units of string coupling. The level-rank duality appears as the exchange symmetry of the two Kaehler parameters of the elliptic CY3-fold.

  19. Dynamical Casimir effect on a cavity with mixed boundary conditions

    International Nuclear Information System (INIS)

    Alves, Danilo T.; Farina, Carlos; Maia Neto, Paulo Americo

    2002-01-01

    The most well-known mechanical effect related to the quantum vacuum is the Casimir force between two mirrors at rest. A new effect appears when the mirrors are set to move. In this case, the vacuum field may exert a dissipative force, damping the motion. As a consequence of energy conservation, there will be creation of real particles. If the motion is non-relativistic and has a small amplitude, the dynamical Casimir force can be found via a perturbative method proposed by Ford and Vilenkin. Using their technique, the electromagnetic dynamical Casimir problem, considered when the oscillating cavity is formed by two parallel plates of the same nature (perfectly conducting or perfectly permeable), can be divided into two separated boundary condition problems, namely: one involving Dirichlet BC, related to the transverse electric polarization and the other involving a Neumann BC, related to the transverse magnetic mode. The case of conducting plates can be found in the literature. However, another interesting case, the mixed oscillating cavity where the plates are of different nature, namely, a perfectly conducting plate and a perfectly permeable one (Boyer plates), has not been studied yet. We show that,for this case, the transverse electric models will be related to mixed boundary conditions: Dirichlet-like BC at the conducting plate and Neumann-like BC at the permeable plate. Analogously, the magnetic modes are related to a Neumann BC at the conducting plate and to a Dirichlet BC at the permeable one. As a first step before attacking the three-dimensional electromagnetic problem with mixed BC, we present here a simpler model: a one-dimensional cavity, where a massless scalar field is submitted to mixed (Dirichlet-Neumann) BC. For simplicity, we consider a non-relativistic motion for the conducting wall (Dirichlet BC) and suppose that the perfectly permeable wall (Neumann BC) is at rest. From this model we can extract insights about the dynamical Casimir

  20. Wood-hoopoes: are Phoeniculus purpureus niloticus (Neumann ...

    African Journals Online (AJOL)

    Scopus: Journal of East African Ornithology. Journal Home · ABOUT THIS JOURNAL · Advanced Search · Current Issue · Archives · Journal Home > Vol 37, No 1 (2017) >. Log in or Register to get access to full text downloads.

  1. Analyzing Von Neumann machines using decentralized symmetries

    Science.gov (United States)

    Fang, Jie

    2013-10-01

    The artificial intelligence method to e-business is defined not only by the study of fiber-optic cables, but also by the unproven need for vacuum tubes. Given the current status of virtual archetypes, theorists clearly desire the exploration of semaphores, which embodies the compelling principles of cryptoanalysis. We present an algorithm for probabilistic theory (Buck), which we use to disprove that write-back caches can be made decentralized, lossless, and reliable.

  2. Strong curvature effects in Neumann wave problems

    DEFF Research Database (Denmark)

    Willatzen, Morten; Pors, A.; Gravesen, Jens

    2012-01-01

    equation for a quantum-mechanical particle confined by infinite barriers relevant in semiconductor physics. With this in mind and the interest to tailor waveguides towards a desired spectrum and modal pattern structure in classical structures and nanostructures, it becomes increasingly important...

  3. Neumann aitab rahvuskaaslased maailma turule / Kati Murutar

    Index Scriptorium Estoniae

    Murutar, Kati, 1967-

    2009-01-01

    Norras elava rahvusvahelise äri spetsialisti Indrek Michael Neumanni firma Progate Trade International Business Consulting and Solution annab Eesti ettevõtjatele nõuandeid rahvusvahelisele turule sisenemiseks

  4. Conditional steering under the von Neumann scenario

    Science.gov (United States)

    Mukherjee, Kaushiki; Paul, Biswajit; Karmakar, Sumana; Sarkar, Debasis; Mukherjee, Amit; Bhattacharya, Some Sankar; Roy, Arup

    2017-08-01

    In Phys. Lett. A 166, 293 (1992), 10.1016/0375-9601(92)90711-T, Popescu and Rohrlich characterized nonlocality of pure n -partite entangled systems by studying bipartite violation of local realism when n -2 number of parties perform projective measurements on their particles. A pertinent question in this scenario is whether similar characterization is possible for n -partite mixed entangled states also. In the present work we have followed an analogous approach so as to explore whether given a tripartite mixed entangled state the conditional bipartite states obtained by performing projective measurement on the third party demonstrate a weaker form of nonlocality, quantum steering. We also compare this phenomenon of conditional steering with existing notions of tripartite correlations.

  5. Wood-hoopoes: are Phoeniculus purpureus niloticus (Neumann ...

    African Journals Online (AJOL)

    The Green Wood-hoopoe Phoeniculus purpureus (Miller 1784) is represented in all savanna regions of Africa, and has long been the subject of debate (Turner 2014). In addition, birds referred to as the Violet Wood-hoopoe (damarensis and granti) and. Black-billed Wood-hoopoe (somaliensis) appear very closely related to ...

  6. Leading, but not trailing, primes influence temporal order perception: further evidence for an attentional account of perceptual latency priming.

    Science.gov (United States)

    Scharlau, Ingrid

    2002-11-01

    Presenting a masked prime leading a target influences the perceived onset of the masking target (perceptual latency priming; Scharlau & Neumann, in press). This priming effect is explained by the asynchronous updating model (Neumann, 1982; Scharlau & Neumann, in press): The prime initiates attentional allocation toward its location, which renders a trailing target at the same place consciously available earlier. In three experiments, this perceptual latency priming by leading primes was examined jointly with the effects of trailing primes in order to compare the explanation of the asynchronous updating model with the onset-averaging and the P-center hypotheses. Experiment 1 showed that an attended, as well as an unattended, prime leads to perceptual latency priming. In addition, a large effect of trailing primes on the onset of a target was found. As Experiment 2 demonstrated, this effect is quite robust, although smaller than that of a leading prime. In Experiment 3, masked primes were used. Under these conditions, no influence of trailing primes could be found, whereas perceptual latency priming persisted. Thus, a nonattentional explanation for the effect of trailing primes seems likely.

  7. Quantum learning algorithms for quantum measurements

    Energy Technology Data Exchange (ETDEWEB)

    Bisio, Alessandro, E-mail: alessandro.bisio@unipv.it [QUIT Group, Dipartimento di Fisica ' A. Volta' and INFN, via Bassi 6, 27100 Pavia (Italy); D' Ariano, Giacomo Mauro, E-mail: dariano@unipv.it [QUIT Group, Dipartimento di Fisica ' A. Volta' and INFN, via Bassi 6, 27100 Pavia (Italy); Perinotti, Paolo, E-mail: paolo.perinotti@unipv.it [QUIT Group, Dipartimento di Fisica ' A. Volta' and INFN, via Bassi 6, 27100 Pavia (Italy); Sedlak, Michal, E-mail: michal.sedlak@unipv.it [QUIT Group, Dipartimento di Fisica ' A. Volta' and INFN, via Bassi 6, 27100 Pavia (Italy); Institute of Physics, Slovak Academy of Sciences, Dubravska cesta 9, 845 11 Bratislava (Slovakia)

    2011-09-12

    We study quantum learning algorithms for quantum measurements. The optimal learning algorithm is derived for arbitrary von Neumann measurements in the case of training with one or two examples. The analysis of the case of three examples reveals that, differently from the learning of unitary gates, the optimal algorithm for learning of quantum measurements cannot be parallelized, and requires quantum memories for the storage of information. -- Highlights: → Optimal learning algorithm for von Neumann measurements. → From 2 copies to 1 copy: the optimal strategy is parallel. → From 3 copies to 1 copy: the optimal strategy must be non-parallel.

  8. Generalizations of the Nash Equilibrium Theorem in the KKM Theory

    Directory of Open Access Journals (Sweden)

    Sehie Park

    2010-01-01

    Full Text Available The partial KKM principle for an abstract convex space is an abstract form of the classical KKM theorem. In this paper, we derive generalized forms of the Ky Fan minimax inequality, the von Neumann-Sion minimax theorem, the von Neumann-Fan intersection theorem, the Fan-type analytic alternative, and the Nash equilibrium theorem for abstract convex spaces satisfying the partial KKM principle. These results are compared with previously known cases for G-convex spaces. Consequently, our results unify and generalize most of previously known particular cases of the same nature. Finally, we add some detailed historical remarks on related topics.

  9. Forecasting of heat capacity of molecular inorganic liquids

    International Nuclear Information System (INIS)

    Sladkov, I.B.; Neganov, O.S.

    1992-01-01

    On the basis of analysis of experimental material on heat capacity of liquids, covering 350 molecular inorganic compounds, atomic parts of heat capacity for 58 elements of the Periodic system were obtained. Data on the accuracy of heat capacity calculation by the Neumann-Kopp rule using the recommended atomic parts C p are presented. For the Kelli rule it is assertained that the factor of proportiomality between heat capacity and the number of atoms in compound molecule in the general case depends on the type of anion and compound coordination. The Neumann-Kopp-Kelli rules provide a satisfactory accuracy of prediction

  10. Quantum learning algorithms for quantum measurements

    International Nuclear Information System (INIS)

    Bisio, Alessandro; D'Ariano, Giacomo Mauro; Perinotti, Paolo; Sedlak, Michal

    2011-01-01

    We study quantum learning algorithms for quantum measurements. The optimal learning algorithm is derived for arbitrary von Neumann measurements in the case of training with one or two examples. The analysis of the case of three examples reveals that, differently from the learning of unitary gates, the optimal algorithm for learning of quantum measurements cannot be parallelized, and requires quantum memories for the storage of information. -- Highlights: → Optimal learning algorithm for von Neumann measurements. → From 2 copies to 1 copy: the optimal strategy is parallel. → From 3 copies to 1 copy: the optimal strategy must be non-parallel.

  11. Slatan Dudow, Bulles de savon (1934) et la Suisse, ou Le mouvement des copies

    OpenAIRE

    Cosandey, Roland

    2011-01-01

    Observations à partir des deux copies de Bulles de savon conservées à la Cinémathèque suisse (35mm sonore et 16mm muette) dans le Fonds CSEO/SABZ dont le directeur de l’époque, Hans Neumann fit l’acquisition auprès du cinéaste. A discussion based on the two copies of Dudow’s Soap Bubbles held at the Cinémathèque suisse (sound 35mm and silent 16mm) in the CSEO/SABZ collection, whose director at the time, Hans Neumann, acquired the copies from the filmmaker....

  12. J(l)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting

    NARCIS (Netherlands)

    Alpay, D.; Dijksma, A.; Langer, H.

    2006-01-01

    We introduce a Schur transformation for generalized Nevanlinna functions and show that it can be used in obtaining the unique minimal factorization of a class of rational J(l)-unitary 2 x 2 matrix functions into elementary factors from the same class. (c) 2006 Elsevier Inc. All rights reserved.

  13. A "Reverse-Schur" Approach to Optimization With Linear PDE Constraints: Application to Biomolecule Analysis and Design.

    Science.gov (United States)

    Bardhan, Jaydeep P; Altman, Michael D; Tidor, B; White, Jacob K

    2009-01-01

    We present a partial-differential-equation (PDE)-constrained approach for optimizing a molecule's electrostatic interactions with a target molecule. The approach, which we call reverse-Schur co-optimization, can be more than two orders of magnitude faster than the traditional approach to electrostatic optimization. The efficiency of the co-optimization approach may enhance the value of electrostatic optimization for ligand-design efforts-in such projects, it is often desirable to screen many candidate ligands for their viability, and the optimization of electrostatic interactions can improve ligand binding affinity and specificity. The theoretical basis for electrostatic optimization derives from linear-response theory, most commonly continuum models, and simple assumptions about molecular binding processes. Although the theory has been used successfully to study a wide variety of molecular binding events, its implications have not yet been fully explored, in part due to the computational expense associated with the optimization. The co-optimization algorithm achieves improved performance by solving the optimization and electrostatic simulation problems simultaneously, and is applicable to both unconstrained and constrained optimization problems. Reverse-Schur co-optimization resembles other well-known techniques for solving optimization problems with PDE constraints. Model problems as well as realistic examples validate the reverse-Schur method, and demonstrate that our technique and alternative PDE-constrained methods scale very favorably compared to the standard approach. Regularization, which ordinarily requires an explicit representation of the objective function, can be included using an approximate Hessian calculated using the new BIBEE/P (boundary-integral-based electrostatics estimation by preconditioning) method.

  14. A Hierarchy of Compatibility and Comeasurability Levels in Quantum Logics with Unique Conditional Probabilities

    International Nuclear Information System (INIS)

    Niestegge, Gerd

    2010-01-01

    In the quantum mechanical Hilbert space formalism, the probabilistic interpretation is a later ad-hoc add-on, more or less enforced by the experimental evidence, but not motivated by the mathematical model itself. A model involving a clear probabilistic interpretation from the very beginning is provided by the quantum logics with unique conditional probabilities. It includes the projection lattices in von Neumann algebras and here probability conditionalization becomes identical with the state transition of the Lueders-von Neumann measurement process. This motivates the definition of a hierarchy of five compatibility and comeasurability levels in the abstract setting of the quantum logics with unique conditional probabilities. Their meanings are: the absence of quantum interference or influence, the existence of a joint distribution, simultaneous measurability, and the independence of the final state after two successive measurements from the sequential order of these two measurements. A further level means that two elements of the quantum logic (events) belong to the same Boolean subalgebra. In the general case, the five compatibility and comeasurability levels appear to differ, but they all coincide in the common Hilbert space formalism of quantum mechanics, in von Neumann algebras, and in some other cases. (general)

  15. The soliton solution of BBGKY quantum kinetic equations chain for different type particles system

    International Nuclear Information System (INIS)

    Rasulova, M.Yu.; Avazov, U.; Hassan, T.

    2006-12-01

    In the present paper on the basis of BBGKY chain of quantum kinetic equations the chain of equations for correlation matrices is derived, describing the evolution of a system of different types particles, which interact by pair potential. The series, which is the solution of this chain of equations for correlation matrices, is suggested. Using this series the solution of the last chain of equations is reduced to a solution of a set of homogeneous and nonhomogeneous von-Neumann's kinetic equations (analogue of Vlasov equations for quantum case). The first and second equations of this set of equations coincide with the first and second kinetic equations of the set, which is used in plasma physics. For an potential in the form of Dirac delta function, the solution of von-Neumann equation is defined through soliton solution of nonlinear Schrodinger equations. Based on von-Neumann equation one can define all terms of series, which is a solution of a chain of equations for correlation matrices. On the basis of these correlation matrices for a system of different types of particles we can define exact solution of BBGKY chain of quantum kinetic equations

  16. Fast Solutions of Maxwell's Equation for High Resolution Electromagnetic Imaging of Transport Pathways; TOPICAL

    International Nuclear Information System (INIS)

    DAY, DAVID M.; NEWMAN, GREGORY A.

    1999-01-01

    A fast precondition technique has been developed which accelerates the finite difference solutions of the 3D Maxwell's equations for geophysical modeling. The technique splits the electric field into its curl free and divergence free projections, and allows for the construction of an inverse operator. Test examples show an order of magnitude speed up compared with a simple Jacobi preconditioner. Using this preconditioner a low frequency Neumann series expansion is developed and used to compute responses at multiple frequencies very efficiently. Simulations requiring responses at multiple frequencies, show that the Neumann series is faster than the preconditioned solution, which must compute solutions at each discrete frequency. A Neumann series expansion has also been developed in the high frequency limit along with spectral Lanczos methods in both the high and low frequency cases for simulating multiple frequency responses with maximum efficiency. The research described in this report was to have been carried out over a two-year period. Because of communication difficulties, the project was funded for first year only. Thus the contents of this report are incomplete with respect to the original project objectives

  17. Diffusion escape through a cluster of small absorbing windows

    Energy Technology Data Exchange (ETDEWEB)

    Holcman, D [Department of Mathematics, Weizmann Institute of Science, Rehovot 76100 (Israel); Schuss, Z [Department of Mathematics, Tel-Aviv University, Tel-Aviv 69978 (Israel)

    2008-04-18

    We study the first eigenvalue of the Laplace equation in a bounded domain in R{sup d} (d=2,3) with mixed Neumann-Dirichlet (Zaremba) boundary conditions. The Neumann condition is imposed on most of the boundary and the Dirichlet boundary consists of a cluster of small windows. When the windows are well separated the first eigenvalue is asymptotically the sum of eigenvalues of mixed problems with a single Dirichlet window. However, when two or more Dirichlet windows cluster tightly together they interact nonlinearly. We compare our asymptotic approximation of the eigenvalue to the escape rate of simulated Brownian particles through the small windows.

  18. An alternative path integral for quantum gravity

    Energy Technology Data Exchange (ETDEWEB)

    Krishnan, Chethan; Kumar, K.V. Pavan; Raju, Avinash [Center for High Energy Physics, Indian Institute of Science,Bangalore 560012 (India)

    2016-10-10

    We define a (semi-classical) path integral for gravity with Neumann boundary conditions in D dimensions, and show how to relate this new partition function to the usual picture of Euclidean quantum gravity. We also write down the action in ADM Hamiltonian formulation and use it to reproduce the entropy of black holes and cosmological horizons. A comparison between the (background-subtracted) covariant and Hamiltonian ways of semi-classically evaluating this path integral in flat space reproduces the generalized Smarr formula and the first law. This “Neumann ensemble” perspective on gravitational thermodynamics is parallel to the canonical (Dirichlet) ensemble of Gibbons-Hawking and the microcanonical approach of Brown-York.

  19. Detecting Anisotropic Inclusions Through EIT

    Science.gov (United States)

    Cristina, Jan; Päivärinta, Lassi

    2017-12-01

    We study the evolution equation {partialtu=-Λtu} where {Λt} is the Dirichlet-Neumann operator of a decreasing family of Riemannian manifolds with boundary {Σt}. We derive a lower bound for the solution of such an equation, and apply it to a quantitative density estimate for the restriction of harmonic functions on M}=Σ_{0 to the boundaries of {partialΣt}. Consequently we are able to derive a lower bound for the difference of the Dirichlet-Neumann maps in terms of the difference of a background metrics g and an inclusion metric {g+χ_{Σ}(h-g)} on a manifold M.

  20. k-Schur functions and affine Schubert calculus

    CERN Document Server

    Lam, Thomas; Morse, Jennifer; Schilling, Anne; Shimozono, Mark; Zabrocki, Mike

    2014-01-01

    This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This is the first introductory text on this subject. It contains many examples in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advanced undergraduate and graduate students, as well as researchers, who want to become familiar with ...

  1. Detecting quantum critical points using bipartite fluctuations.

    Science.gov (United States)

    Rachel, Stephan; Laflorencie, Nicolas; Song, H Francis; Le Hur, Karyn

    2012-03-16

    We show that the concept of bipartite fluctuations F provides a very efficient tool to detect quantum phase transitions in strongly correlated systems. Using state-of-the-art numerical techniques complemented with analytical arguments, we investigate paradigmatic examples for both quantum spins and bosons. As compared to the von Neumann entanglement entropy, we observe that F allows us to find quantum critical points with much better accuracy in one dimension. We further demonstrate that F can be successfully applied to the detection of quantum criticality in higher dimensions with no prior knowledge of the universality class of the transition. Promising approaches to experimentally access fluctuations are discussed for quantum antiferromagnets and cold gases.

  2. Art history in nineteenth-century Estonia? / Rene Mäe

    Index Scriptorium Estoniae

    Jõekalda, Kristjan, 1971-

    2015-01-01

    Kunstiajaloodistsipliini teke Baltikumis, Tartu Ülikooli kunstiajaloo-alane tegevus. Kunstiajaloo esimesed viljelejad Eesti alal: Gotthard von Hansen, Friedrich Amelung, Reinhold Guleke ja Wilhelm Neumann

  3. Approximation Properties for Groups and von Neumann Algebras

    DEFF Research Database (Denmark)

    Knudby, Søren

    The main topic of the thesis is approximation properties for locally compact groups with applications to operator algebras. In order to study the relationship between weak amenability and the Haagerup property, the weak Haagerup property and the weak Haagerup constant are introduced. The weak Haa...

  4. [Neumann's tumor or congenital epulis of the newborn].

    Science.gov (United States)

    Cantaloube, D; Rives, J M; Larroque, G; Charrier, J L; Seurat, P

    1988-01-01

    Congenital epulis is a rare benign gingival tumor affecting mainly female neonates. Histology shows characteristic granular cells. Although diagnosis and therapy fail to raise particular problems, this is not the case for histopathogenesis of lesion. Two cases observed recently in West Africa are reported.

  5. Factorization of J-unitary matrix polynomials on the line and a Schur algorithm for generalized Nevanlinna functions

    NARCIS (Netherlands)

    Alpay, D.; Dijksma, A.; Langer, H.

    2004-01-01

    We prove that a 2 × 2 matrix polynomial which is J-unitary on the real line can be written as a product of normalized elementary J-unitary factors and a J-unitary constant. In the second part we give an algorithm for this factorization using an analog of the Schur transformation.

  6. Ghost story. II. The midpoint ghost vertex

    International Nuclear Information System (INIS)

    Bonora, L; Maccaferri, C; Scherer Santos, R.J.; Tolla, D D

    2009-01-01

    We construct the ghost number 9 three strings vertex for OSFT in the natural normal ordering. We find two versions, one with a ghost insertion at z = i and a twist-conjugate one with insertion at z = -i. For this reason we call them midpoint vertices. We show that the relevant Neumann matrices commute among themselves and with the matrix G representing the operator K 1 . We analyze the spectrum of the latter and find that beside a continuous spectrum there is a (so far ignored) discrete one. We are able to write spectral formulas for all the Neumann matrices involved and clarify the important role of the integration contour over the continuous spectrum. We then pass to examine the (ghost) wedge states. We compute the discrete and continuous eigenvalues of the corresponding Neumann matrices and show that they satisfy the appropriate recursion relations. Using these results we show that the formulas for our vertices correctly define the star product in that, starting from the data of two ghost number 0 wedge states, they allow us to reconstruct a ghost number 3 state which is the expected wedge state with the ghost insertion at the midpoint, according to the star recursion relation.

  7. The insertion of boundaries in world-sheets

    International Nuclear Information System (INIS)

    Green, M.B.; Wai, Paul

    1994-01-01

    This paper considers the operator that inserts a boundary in a string world-sheet on which the string coordinates satisfy either Neumann or constant Dirichlet boundary conditions. With an arbitrary open-string state attached to the boundary, this describes the vertex coupling an open string to a closed string (the ''open-closed string vertex''). A boundary with no open strings attached can be viewed as a vacuum correction to closed-string theory. This factorises into two open-closed string vertices joined together by an open-string propagator. BRST-invariant open-closed string vertices of the Neumann and Dirichlet theories are constructed in a ''light-cone-like'' frame (familiar from some formulations of covariant string field theory) as well as the ''vertex operator'' frame (in which a general open-string state is represented by a vertex operator attached to the world-sheet boundary). The vertices of the Neumann and Dirichlet theories are related to each other by space-time duality.The insertion of a closed Dirichlet boundary may be expressed in the light-cone-like gauge as an interaction vertex that acts at a fixed ''time'' and generates an explicit mass term connecting two arbitrary closed-string states. Some examples of how the presence of such boundaries modifies amplitudes for low-lying states are presented. ((orig.))

  8. Simplified approaches to some nonoverlapping domain decomposition methods

    Energy Technology Data Exchange (ETDEWEB)

    Xu, Jinchao

    1996-12-31

    An attempt will be made in this talk to present various domain decomposition methods in a way that is intuitively clear and technically coherent and concise. The basic framework used for analysis is the {open_quotes}parallel subspace correction{close_quotes} or {open_quotes}additive Schwarz{close_quotes} method, and other simple technical tools include {open_quotes}local-global{close_quotes} and {open_quotes}global-local{close_quotes} techniques, the formal one is for constructing subspace preconditioner based on a preconditioner on the whole space whereas the later one for constructing preconditioner on the whole space based on a subspace preconditioner. The domain decomposition methods discussed in this talk fall into two major categories: one, based on local Dirichlet problems, is related to the {open_quotes}substructuring method{close_quotes} and the other, based on local Neumann problems, is related to the {open_quotes}Neumann-Neumann method{close_quotes} and {open_quotes}balancing method{close_quotes}. All these methods will be presented in a systematic and coherent manner and the analysis for both two and three dimensional cases are carried out simultaneously. In particular, some intimate relationship between these algorithms are observed and some new variants of the algorithms are obtained.

  9. Series of Bessel and Kummer-type functions

    CERN Document Server

    Baricz, Arpad; Pogány, Tibor K

    2017-01-01

    This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience, including graduate students and those in the scientific community who are interested in a new perspective on Fourier–Bessel series, and their manifold and polyvalent applications, mainly in general classical analysis, applied mathematics and mathematical physics.

  10. Parasitismo humano por carrapatos na Mata Atlântica, Rio de Janeiro, Brasil.

    Directory of Open Access Journals (Sweden)

    Nicolau Serra-Freire

    2011-07-01

    Abstract. From January 1997 to December 2007 was carried out a epidemiologic investigation to identify a cases of parasitism in the human community that is invaded and occupied area of Environmental Protection - (BB, between the “State Park of the Pedra Branca” and “National Park of Tijuca Forest” located in Rio de Janeiro, RJ, Brazil. These work comprouved 6,072 cases of ixodidosis in relation with species: Amblyomma aureolatum (Pallas, Amblyomma cajennense (Fabricius, Amblyomma dubitatum Neumann, Amblyomma ovale Kock, Amblyomma varium Kock, Ixodes loricatus Neumann and Rhipicephalus sanguineus (Latreille infected local human living into the space worked. Through an analysis of statistical data demonstrating transcribes the importance of transmission of pathogens and serves as a model for understanding of the human X tick.

  11. Witten's ghost vertex made simple

    International Nuclear Information System (INIS)

    Belov, D.M.

    2004-01-01

    First, we diagonalize the bc-ghost 3-string Neumann matrices using the technique described in Phys. Rev. D 68, 066003 (2003). Their eigenvalues are in complete agreement with the previous authors. Second, we diagonalize the N-string gluing vertices for the bosonized ghost system. Third, we verify the descent and associativity relations for the combined bosonic matter+ghost gluing vertices. We find that in order for these relations to be true, the vertices must be normalized by the factor Z N . Here Z N is the partition function of the bosonic matter+ghost CFT on the gluing surface, which is the unit disk with the Neumann boundary conditions and the midpoint conelike singularity specified by the angle excess π(N-2)

  12. Properties of subentropy

    International Nuclear Information System (INIS)

    Datta, Nilanjana; Dorlas, Tony; Jozsa, Richard; Benatti, Fabio

    2014-01-01

    Subentropy is an entropy-like quantity that arises in quantum information theory; for example, it provides a tight lower bound on the accessible information for pure state ensembles, dual to the von Neumann entropy upper bound in Holevo's theorem. Here we establish a series of properties of subentropy, paralleling the well-developed analogous theory for von Neumann entropy. Further, we show that subentropy is a lower bound for min-entropy. We introduce a notion of conditional subentropy and show that it can be used to provide an upper bound for the guessing probability of any classical-quantum state of two qubits; we conjecture that the bound applies also in higher dimensions. Finally, we give an operational interpretation of subentropy within classical information theory

  13. Symplectic invariants, entropic measures and correlations of Gaussian states

    Energy Technology Data Exchange (ETDEWEB)

    Serafini, Alessio; Illuminati, Fabrizio; Siena, Silvio De [Dipartimento di Fisica ' E R Caianiello' , Universita di Salerno, INFM UdR Salerno, INFN Sezione di Napoli, Gruppo Collegato di Salerno, Via S Allende, 84081 Baronissi, SA (Italy)

    2004-01-28

    We present a derivation of the Von Neumann entropy and mutual information of arbitrary two-mode Gaussian states, based on the explicit determination of the symplectic eigenvalues of a generic covariance matrix. The key role of the symplectic invariants in such a determination is pointed out. We show that the Von Neumann entropy depends on two symplectic invariants, while the purity (or the linear entropy) is determined by only one invariant, so that the two quantities provide two different hierarchies of mixed Gaussian states. A comparison between mutual information and entanglement of formation for symmetric states is considered, taking note of the crucial role of the symplectic eigenvalues in qualifying and quantifying the correlations present in a generic state. (letter to the editor)

  14. Symplectic invariants, entropic measures and correlations of Gaussian states

    International Nuclear Information System (INIS)

    Serafini, Alessio; Illuminati, Fabrizio; Siena, Silvio De

    2004-01-01

    We present a derivation of the Von Neumann entropy and mutual information of arbitrary two-mode Gaussian states, based on the explicit determination of the symplectic eigenvalues of a generic covariance matrix. The key role of the symplectic invariants in such a determination is pointed out. We show that the Von Neumann entropy depends on two symplectic invariants, while the purity (or the linear entropy) is determined by only one invariant, so that the two quantities provide two different hierarchies of mixed Gaussian states. A comparison between mutual information and entanglement of formation for symmetric states is considered, taking note of the crucial role of the symplectic eigenvalues in qualifying and quantifying the correlations present in a generic state. (letter to the editor)

  15. Ecole d'été de probabilités de Saint-Flour XLIII

    CERN Document Server

    Burdzy, Krzysztof

    2014-01-01

    These lecture notes provide an introduction to the applications of Brownian motion to analysis and, more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in "deterministic" fields of mathematics. The notes include a brief review of Brownian motion and a section on probabilistic proofs of classical theorems in analysis. The bulk of the notes are devoted to recent (post-1990) applications of stochastic analysis to Neumann eigenfunctions, Neumann heat kernel and the heat equation in time-dependent domains.

  16. Strategic culture of the Southern African Development Community ...

    African Journals Online (AJOL)

    Regional security arrangements typically deal with external threats, but internal instabilities may .... of analysis and persistent across time' (Neumann & Heikka 2005:7-8). ...... Advanced Research and Assessment Group: Central Asian Studies,.

  17. Impact of Use of Chemical Fertiliser on Farm Households' Risk ...

    African Journals Online (AJOL)

    User

    Department of Agricultural and Resources Economics, Mekelle University ... significantly affected both farmers' risk behaviour and food security. .... The Von Neumann and Morgenstern model (Torkamani et al., 2001) was used to understand.

  18. A parallel implementation of the ghost-cell immersed boundary ...

    Indian Academy of Sciences (India)

    S Peter

    cylinder. Keywords. Taylor series; inverse distance weighting; Neumann boundary condition; ... Kim et al [4], for controlling the production of spurious force ..... continuously increases with a because of the Magnus effect. 7. Conclusions.

  19. Reflection of P and SV waves from free surface of an elastic solid ...

    Indian Academy of Sciences (India)

    Department of Mathematics, Government College, Sector-11, Chandigarh 160 011, India. e-mail: ... 1. Introduction. Duhamel (1837) and Neumann (1885) introduced the theory of uncoupled ... lar transistors, form integrated resistors, form the.

  20. Boundaries immersed in a scalar quantum field

    International Nuclear Information System (INIS)

    Actor, A.A.; Bender, I.

    1996-01-01

    We study the interaction between a scalar quantum field φ(x), and many different boundary configurations constructed from (parallel and orthogonal) thin planar surfaces on which φ(x) is constrained to vanish, or to satisfy Neumann conditions. For most of these boundaries the Casimir problem has not previously been investigated. We calculate the canonical and improved vacuum stress tensors left angle T μv (x) right angle and left angle direct difference μv (x) right angle of φ(x) for each example. From these we obtain the local Casimir forces on all boundary planes. For massless fields, both vacuum stress tensors yield identical attractive local Casimir forces in all Dirichlet examples considered. This desirable outcome is not a priori obvious, given the quite different features of left angle T μv (x) right angle and left angle direct difference μv (x) right angle. For Neumann conditions, left angle T μv (x) right angle and left angle direct difference μv (x) right angle lead to attractive Casimir stresses which are not always the same. We also consider Dirichlet and Neumann boundaries immersed in a common scalar quantum field, and find that these repel. The extensive catalogue of worked examples presented here belongs to a large class of completely solvable Casimir problems. Casimir forces previously unknown are predicted, among them ones which might be measurable. (orig.)

  1. Journal of the Nigerian Association of Mathematical Physics - Vol 12 ...

    African Journals Online (AJOL)

    On non-commutative L, spaces over quasilocal von neumann algebra · EMAIL ... Relative controllability of monlinear perturbed neutral systems with distributed .... of hybrid methods for initial value problems in ordinary differential equations ...

  2. Une méthode de calcul par éléments finis de la résistence de vague des corps flottants ou immergés en théorie linéaire A Finite Elements Method for Computing the Resistance of Floating Or Submerged Bodies to Wave Action Using a Linear Theory

    Directory of Open Access Journals (Sweden)

    Cariou A.

    2006-11-01

    Full Text Available Pour calculer le potentiel de l'écoulement autour d'un corps en mouvement rectiligne uniforme, soit en fluide illimité (engin sous-marin, soit sur une mer infinie (corps flottant ou voisin de la surface libre, on se place dans le cadre du problème de Neumann extérieur ou du problème de Neumann Kelvin. Pour résoudre ces problèmes on se propose de délimiter autour de la carène un domaine fluide fini (,ri dont les frontières sont : la carène (SC, une surface (SE entourant la carène et éventuellement la portion de surface libre (SI. limitée par les lignes de flottaison de SC et SE. La solution à l'intérieur de (,ri est déterminée à l'aide d'une méthode d'éléments finis et elle est raccordée à la solution en domaine infini elle-même calculée grâce aux fonctions de Green du problème (ou solutions élémentaires. For computing the flow potential around a body in uniform rectilinear movement, either in an unlimited fluid (subsea croft or on an infinite sea (body floating near the free surface, consideration must be given ta the outside Neumann problem or ta the Neumann Kelvin problem. Ta solve these problems, this article proposes ta delimit a finite fluid realm (T: around the body. The limits of this realm are: I the body (SC, 2 a surface (SE surrounding the body, and eventually 3 the portion of free surface (SU bounded by the waterlines of SC and SE. The solution within iri is determined by a finite elements method, and it is related ta the solution in on infinite realm which in turn is computed by the Green functions of the problem (or elementary solutions.

  3. Integrable Hamiltonian systems and spectral theory

    CERN Document Server

    Moser, J

    1981-01-01

    Classical integrable Hamiltonian systems and isospectral deformations ; geodesics on an ellipsoid and the mechanical system of C. Neumann ; the Schrödinger equation for almost periodic potentials ; finite band potentials ; limit cases, Bargmann potentials.

  4. A new kind of Hankel-Toeplitz type operator

    Czech Academy of Sciences Publication Activity Database

    Engliš, Miroslav; Hille, S. C.; Peetre, J.; Rosengren, H.; Zhang, G.

    2000-01-01

    Roč. 6, č. 1 (2000), s. 49-80 ISSN 1319-5166 Institutional research plan: CEZ:AV0Z1019905 Keywords : Hankel-Toeplitz type%Schatten von Neumann classes membership Subject RIV: BA - General Mathematics

  5. Generalized Toeplitz operators and cyclic vectors

    International Nuclear Information System (INIS)

    Gassier, G.; Mahzouli, H.; Zerouali, E.H.

    2003-04-01

    We give in this paper some asymptotic Von Neumann inequalities for power bounded operators in the class C ρ intersection C 1 . and some spacial von Neumann inequalities associated with non zero elements of the point spectrum, when it is non void, of generalized Toeplitz operators. Introducing perturbed kernel, we consider classes C R which extend the classical classes C ρ . We give results about absolute continuity with respect to the Haar measure for operators in class C R intersection C 1 . This allows us to give new results on cyclic vectors for such operators and provides invariant subspaces for their powers. Relationships between cyclic vectors for T and T* involving generalized Toeplitz operators are given and the commutativity of {T}', the commutant of T is discussed. (author)

  6. Stochastic Dominance under the Nonlinear Expected Utilities

    Directory of Open Access Journals (Sweden)

    Xinling Xiao

    2014-01-01

    Full Text Available In 1947, von Neumann and Morgenstern introduced the well-known expected utility and the related axiomatic system (see von Neumann and Morgenstern (1953. It is widely used in economics, for example, financial economics. But the well-known Allais paradox (see Allais (1979 shows that the linear expected utility has some limitations sometimes. Because of this, Peng proposed a concept of nonlinear expected utility (see Peng (2005. In this paper we propose a concept of stochastic dominance under the nonlinear expected utilities. We give sufficient conditions on which a random choice X stochastically dominates a random choice Y under the nonlinear expected utilities. We also provide sufficient conditions on which a random choice X strictly stochastically dominates a random choice Y under the sublinear expected utilities.

  7. Spectral distribution of scalar particles created by a moving boundary with Robin boundary condition

    International Nuclear Information System (INIS)

    Mintz, B.; Farina, C; Maia Neto, P.A.; Rodrigues, R.B.

    2006-01-01

    We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic boundary. By deriving a Bogoliubov transformation between the input and output bosonic field operators, we calculate the spectral distribution of created particles. The particular cases of Dirichlet and Neumann BC may be obtained from our result as limiting cases, yielding equal spectra (this result is valid only in this space-time dimensionality). The creation effect for the field under Dirichlet BC turns out to be an upper bound for the spectra derived for Robin BC. Also, we show that the particle creation phenomenon with Robin conditions can be considerably reduced (with respect to the Dirichlet or Neumann cases) by selecting a particular mechanical oscillation frequency of the moving boundary. (author)

  8. On the use of reverse Brownian motion to accelerate hybrid simulations

    Energy Technology Data Exchange (ETDEWEB)

    Bakarji, Joseph; Tartakovsky, Daniel M., E-mail: tartakovsky@stanford.edu

    2017-04-01

    Multiscale and multiphysics simulations are two rapidly developing fields of scientific computing. Efficient coupling of continuum (deterministic or stochastic) constitutive solvers with their discrete (stochastic, particle-based) counterparts is a common challenge in both kinds of simulations. We focus on interfacial, tightly coupled simulations of diffusion that combine continuum and particle-based solvers. The latter employs the reverse Brownian motion (rBm), a Monte Carlo approach that allows one to enforce inhomogeneous Dirichlet, Neumann, or Robin boundary conditions and is trivially parallelizable. We discuss numerical approaches for improving the accuracy of rBm in the presence of inhomogeneous Neumann boundary conditions and alternative strategies for coupling the rBm solver with its continuum counterpart. Numerical experiments are used to investigate the convergence, stability, and computational efficiency of the proposed hybrid algorithm.

  9. Nuclearity, split-property and duality for the Klein-Gordon field in curved spacetime

    International Nuclear Information System (INIS)

    Verch, R.

    1993-05-01

    Nuclearity, Split-Property and Duality are establihed for the nets of von Neumann algebras associated with the representations of distinguished states of the massive Klein-Gordon field propagating in particular classes of curved spacetimes. (orig.)

  10. Regularity and mass conservation for discrete coagulation–fragmentation equations with diffusion

    KAUST Repository

    Cañ izo, J.A.; Desvillettes, L.; Fellner, K.

    2010-01-01

    We present a new a priori estimate for discrete coagulation-fragmentation systems with size-dependent diffusion within a bounded, regular domain confined by homogeneous Neumann boundary conditions. Following from a duality argument, this a priori

  11. Läti Rahvusliku Kunstimuuseumi hoone uuendamisest / Margit Mutso

    Index Scriptorium Estoniae

    Mutso, Margit, 1966-

    2010-01-01

    Läti Rahvusliku Kunstimuuseumi (saksa arhitekt Wilhelm Neumann) rekonstrueerimise ja laienduse rahvusvahelisest avalikust arhitektuurivõistlusest. 1. koha pälvinud Leedu arhitektuuribüroo Processoffice ja 2. koha saanud Eesti arhitektuuribüroo Salto lahendustest

  12. Fulltext PDF

    Indian Academy of Sciences (India)

    Unknown

    study of animal behaviour and evolution. ... theory was originally developed by John von Neumann to analyse the strategies that succeed in ... Maynard Smith made it his business to tackle the most difficult problems in evolutionary biology.

  13. SPLINE-FUNCTIONS IN THE TASK OF THE FLOW AIRFOIL PROFILE

    Directory of Open Access Journals (Sweden)

    Mikhail Lopatjuk

    2013-12-01

    Full Text Available The method and the algorithm of solving the problem of streamlining are presented. Neumann boundary problem is reduced to the solution of integral equations with given boundary conditions using the cubic spline-functions

  14. Dynamical entropy of C* algebras and Von Neumann algebras

    International Nuclear Information System (INIS)

    Connes, A.; Narnhofer, H.; Thirring, W.

    1986-01-01

    The definition of the dynamical entropy is extended for automorphism groups of C * algebras. As example the dynamical entropy of the shift of a lattice algebra is studied and it is shown that in some cases it coincides with the entropy density. (Author)

  15. Distinguishability of countable quantum states and von Neumann lattice

    International Nuclear Information System (INIS)

    Kawakubo, Ryûitirô; Koike, Tatsuhiko

    2016-01-01

    The condition for distinguishability of a countably infinite number of pure states by a single measurement is given. Distinguishability is to be understood as the possibility of an unambiguous measurement. For a finite number of states, it is known that the necessary and sufficient condition of distinguishability is that the states are linearly independent. For an infinite number of states, several natural classes of distinguishability can be defined. We give a necessary and sufficient condition for a system of pure states to be distinguishable. It turns out that each level of distinguishability naturally corresponds to one of the generalizations of linear independence to families of infinite vectors. As an important example, we apply the general theory to von Neumann’s lattice, a subsystem of coherent states which corresponds to a lattice in the classical phase space. We prove that the condition for distinguishability is that the area of the fundamental region of the lattice is greater than the Planck constant, and also find subtle behavior on the threshold. These facts reveal the measurement theoretical meaning of the Planck constant and give a justification for the interpretation that it is the smallest unit of area in the phase space. The cases of uncountably many states and of mixed states are also discussed. (paper)

  16. Tick paralysis in Australia caused by Ixodes holocyclus Neumann

    DEFF Research Database (Denmark)

    Hall-Mendelin, S; Craig, S B; Hall, R A

    2011-01-01

    Ticks are obligate haematophagous ectoparasites of various animals, including humans, and are abundant in temperate and tropical zones around the world. They are the most important vectors for the pathogens causing disease in livestock and second only to mosquitoes as vectors of pathogens causing...

  17. A note on the von Neumann alternating projections algorithm

    Czech Academy of Sciences Publication Activity Database

    Kopecká, Eva; Reich, S.

    2004-01-01

    Roč. 5, č. 3 (2004), s. 379-386 ISSN 1345-4773 Institutional research plan: CEZ:AV0Z1019905 Keywords : alternating orthogonal projections * Hilbert space * nearest point mapping Subject RIV: BA - General Mathematics

  18. Another note on the von Neumann alternating projections algorithm

    Czech Academy of Sciences Publication Activity Database

    Kopecká, Eva; Reich, S.

    2010-01-01

    Roč. 11, č. 3 (2010), s. 455-460 ISSN 1345-4773 Institutional research plan: CEZ:AV0Z10190503 Keywords : projection * iteration * Hilbert space Subject RIV: BA - General Mathematics Impact factor: 0.738, year: 2010 http://www.ybook.co.jp/online/jncae/vol11/p455.html

  19. A stochastic Ergodic Theorem in Von-Neumann algebras | Tijani ...

    African Journals Online (AJOL)

    In this paper we introduce the notion of stochastic convergence of τ- measurable operators and prove a noncommutative extension of pointwise ergodic theorem of G. D. Birkhoff by means of it by using the techniques developed by Petz in [12] Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp.

  20. Some highlights on the work in probability theory in India during ...

    Indian Academy of Sciences (India)

    processes, growth of cancer cells, queuing theory ... context are: • J Medhi ... person dynamic game, the role of the Skorohod ... Neumann and oblique derivative boundary value ... belief is wrong. ... work has been done under the leadership of.

  1. Solving eigenvalue problems on curved surfaces using the Closest Point Method

    KAUST Repository

    Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J.

    2011-01-01

    defined in the embedding space and the original surface problem. For open surfaces, we present a simple way to impose Dirichlet and Neumann boundary conditions while maintaining second-order accuracy. Convergence studies and a series of examples

  2. Richard Kelly: Pioneirismo na iluminação da arquitetura moderna

    Directory of Open Access Journals (Sweden)

    Fernanda Brito Bandeira

    2018-04-01

    Full Text Available Livros resenhado: NEUMANN, Dietrich; STERN, Robert A. M. The structure of light: Richard Kelly and the illumination of modern architecture. New York: Yale University Press, 2010, 214 p. ISBN: 978-0-300-16370-4

  3. Two Versions of the Projection Postulate: From EPR Argument to One-Way Quantum Computing and Teleportation

    Directory of Open Access Journals (Sweden)

    Andrei Khrennikov

    2010-01-01

    of the projection postulate (due to von Neumann and Lüders should be taken into account seriously in the analysis of the basic constructions of quantum information theory. This paper is a review devoted to such an analysis.

  4. Mixed Generalized Multiscale Finite Element Methods and Applications

    KAUST Repository

    Chung, Eric T.; Efendiev, Yalchin R.; Lee, Chak Shing

    2015-01-01

    of two coarse regions that share the common interface. The snapshot vectors have zero Neumann boundary conditions on the outer boundaries, and we prescribe their values on the common interface. We describe several spectral decompositions in the snapshot

  5. Quaestiones Mathematicae - Vol 24, No 4 (2001)

    African Journals Online (AJOL)

    Minimum Moduli in Von Neumann Algebras · EMAIL FULL TEXT EMAIL FULL TEXT · DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. Perumal Gopalraj, Anton Ströh, 493-500. http://dx.doi.org/10.1080/16073606.2001.9639236 ...

  6. Lossless quantum data compression and variable-length coding

    International Nuclear Information System (INIS)

    Bostroem, Kim; Felbinger, Timo

    2002-01-01

    In order to compress quantum messages without loss of information it is necessary to allow the length of the encoded messages to vary. We develop a general framework for variable-length quantum messages in close analogy to the classical case and show that lossless compression is only possible if the message to be compressed is known to the sender. The lossless compression of an ensemble of messages is bounded from below by its von-Neumann entropy. We show that it is possible to reduce the number of qbits passing through a quantum channel even below the von Neumann entropy by adding a classical side channel. We give an explicit communication protocol that realizes lossless and instantaneous quantum data compression and apply it to a simple example. This protocol can be used for both online quantum communication and storage of quantum data

  7. Ticks (Acarina: Ixodida) infesting five reptile species in Sri Lanka with sixteen new host records.

    Science.gov (United States)

    Liyanaarachchi, Dilrukshi R; Rajakaruna, Rupika S; Dikkumbura, Anil W; De Silva, Anslem; Rajapakse, R P V Jayantha

    2015-05-29

    The first study on ticks on reptiles of Sri Lanka dates back to Seneviratna (1965) who reported ticks from five reptiles. Later studies were either limited to one reptile (Fernando & Fernando 2012), or captive animals in zoos (Fernando & Randeniaya 2009) and household pets (Nathanael et al. 2004). According to the current classification (Guglielmone et al. 2010), all the tick species previously recorded on reptiles belong to five species of Amblyomma: A. clypeolatum Neumann, A. gervaisi (Lucas), A. pattoni (Neumann), A. trimaculatum (Lucas) and A. varanense (Supino). Some of the species listed by Seneviratna (1965) were either synonyms or invalid in respect to the present classification. For example Amblyomma laeve sensu Warburton (1910) is a junior synonym of A. pattoni and A. gervaisii var. lucasi is considered a junior synonym of A. varanense (Guglielmone et al. 2010; D. Apanaskevich pers. comm.).

  8. Quantum nonlocality in two three-level systems

    International Nuclear Information System (INIS)

    Acin, A.; Durt, T.; Gisin, N.; Latorre, J.I.

    2002-01-01

    Recently a new Bell inequality has been introduced by Collins et al. [Phys. Rev. Lett. 88, 040404 (2002)], which is strongly resistant to noise for maximally entangled states of two d-dimensional quantum systems. We prove that a larger violation, or equivalently a stronger resistance to noise, is found for a nonmaximally entangled state. It is shown that the resistance to noise is not a good measure of nonlocality and we introduce some other possible measures. The nonmaximally entangled state turns out to be more robust also for these alternative measures. From these results it follows that two von Neumann measurements per party may be not optimal for detecting nonlocality. For d=3,4, we point out some connections between this inequality and distillability. Indeed, we demonstrate that any state violating it, with the optimal von Neumann settings, is distillable

  9. Time symmetry and interpretation of quantum mechanics

    International Nuclear Information System (INIS)

    de Beauregard, O.C.

    1976-01-01

    A drastic resolution of the quantum paradoxes is proposed, combining (I) von Neumann's postulate that collapse of the state vector is due to the act of observation, and (II) my reinterpretation of von Neumann's quantal irreversibility as an equivalence between wave retardation and entropy increase, both being ''factlike'' rather than ''lawlike'' (Mehlberg). This entails a coupling of the two de jure symmetries between (I) retarded and (II) advanced waves, and between Aristotle's information as (I) learning and (II) willing awareness. Symmetric acceptance of cognizance as a source of retarded waves, and of will as a sink of advanced waves, is submitted as a central ''paradox'' of the Copernican or Einsteinian sort, out of which new light is shed upon previously known paradoxes, such as the EPR paradox, Schroedinger's cat, and Wigner's friend. Parapsychology is thus found to creep into the picture

  10. Study of the sensitivity of the radiation transport problem in a scattering medium

    International Nuclear Information System (INIS)

    Nunes, Rogerio Chaffin

    2002-03-01

    In this work, the system of differential equations obtained by the angular approach of the two-dimensional transport equation by the discrete ordinates method is solved through the formulation of finite elements with the objective of investigating the sensitivity of the outgoing flux of radiation with the incoming flux and the properties of absorption and scattering of the medium. The variational formulation for the system of differential equations of second order with the generalized boundary conditions of Neumann (third type) allows an easy implementation of the method of the finite elements with triangular mesh and approximation space of first order. The geometry chosen for the simulations is a circle with a non homogeneous circular form in its interior. The mapping of Dirichlet-Neumann is studied through various simulations involving the incoming flux, the outgoing flux and the properties of the medium. (author)

  11. Study of the sensitivity of the radiation transport problem in a scattering medium; Estudo da sensibilidade do problema de transporte de radiacao em meio espalhador

    Energy Technology Data Exchange (ETDEWEB)

    Nunes, Rogerio Chaffin

    2002-03-15

    In this work, the system of differential equations obtained by the angular approach of the two-dimensional transport equation by the discrete ordinates method is solved through the formulation of finite elements with the objective of investigating the sensitivity of the outgoing flux of radiation with the incoming flux and the properties of absorption and scattering of the medium. The variational formulation for the system of differential equations of second order with the generalized boundary conditions of Neumann (third type) allows an easy implementation of the method of the finite elements with triangular mesh and approximation space of first order. The geometry chosen for the simulations is a circle with a non homogeneous circular form in its interior. The mapping of Dirichlet-Neumann is studied through various simulations involving the incoming flux, the outgoing flux and the properties of the medium. (author)

  12. On the rate of convergence of the alternating projection method in finite dimensional spaces

    Science.gov (United States)

    Galántai, A.

    2005-10-01

    Using the results of Smith, Solmon, and Wagner [K. Smith, D. Solomon, S. Wagner, Practical and mathematical aspects of the problem of reconstructing objects from radiographs, Bull. Amer. Math. Soc. 83 (1977) 1227-1270] and Nelson and Neumann [S. Nelson, M. Neumann, Generalizations of the projection method with application to SOR theory for Hermitian positive semidefinite linear systems, Numer. Math. 51 (1987) 123-141] we derive new estimates for the speed of the alternating projection method and its relaxed version in . These estimates can be computed in at most O(m3) arithmetic operations unlike the estimates in papers mentioned above that require spectral information. The new and old estimates are equivalent in many practical cases. In cases when the new estimates are weaker, the numerical testing indicates that they approximate the original bounds in papers mentioned above quite well.

  13. Browse Title Index

    African Journals Online (AJOL)

    Items 601 - 650 of 985 ... Vol 10 (2006), On a differential subordination of some certain ... Vol 10 (2006), On iterative solution of non-linear equation ... Vol 12 (2008), On non-commutative L, spaces over quasilocal von neumann algebra, Abstract.

  14. On filter boundary conditions in topology optimization

    DEFF Research Database (Denmark)

    Clausen, Anders; Andreassen, Erik

    2017-01-01

    Most research papers on topology optimization involve filters for regularization. Typically, boundary effects from the filters are ignored. Despite significant drawbacks the inappropriate homogeneous Neumann boundary conditions are used, probably because they are trivial to implement. In this paper...

  15. On the Clebsch-Gordan series for some Heisenberg groups

    International Nuclear Information System (INIS)

    Raszillier, H.

    1984-11-01

    We suggest the use of the Stone-von Neumann theorem for a simple insight into the Clebsch-Gordan series of the Heisenberg groups of quantum mechanics, constructed over the abelian groups Rsup(n) and Fsub(p)sup(n). (orig.)

  16. Microgravimetry and the Measurement and Application of Gravity Gradients,

    Science.gov (United States)

    1980-06-01

    Neumann, R., 1972, High precision gravimetry--recent develop- ments: Report to Paris Commission of E.A.E.G., Compagnie Generale de Geophysique , Massy...experimentation on vertical gradient: Compagnie Generale de Geophysique , Massy, France. 12. Fajklewicz, Z. J., 1976, Gravity vertical gradient

  17. Efficient two-level preconditionined conjugate gradient method on the GPU

    NARCIS (Netherlands)

    Gupta, R.; Van Gijzen, M.B.; Vuik, K.

    2011-01-01

    We present an implementation of Two-Level Preconditioned Conjugate Gradient Method for the GPU. We investigate a Truncated Neumann Series based preconditioner in combination with deflation and compare it with Block Incomplete Cholesky schemes. This combination exhibits fine-grain parallelism and

  18. Combinatorial Quantum Field Theory and Gluing Formula for Determinants

    NARCIS (Netherlands)

    Reshetikhin, N.; Vertman, B.

    2015-01-01

    We define the combinatorial Dirichlet-to-Neumann operator and establish a gluing formula for determinants of discrete Laplacians using a combinatorial Gaussian quantum field theory. In case of a diagonal inner product on cochains we provide an explicit local expression for the discrete

  19. Maximin equilibrium

    NARCIS (Netherlands)

    Ismail, M.S.

    2014-01-01

    We introduce a new concept which extends von Neumann and Morgenstern's maximin strategy solution by incorporating `individual rationality' of the players. Maximin equilibrium, extending Nash's value approach, is based on the evaluation of the strategic uncertainty of the whole game. We show that

  20. Momentous Choices: Testing nonstandard decision models in health and housing markets

    NARCIS (Netherlands)

    M. Filko (Martin)

    2013-01-01

    markdownabstract__Abstract__ During more than half a century, several strands of research contributed to the development of decision theory. The standard normative model for choice under uncertainty – expected utility – was given a foundation by von Neumann and Morgenstern (1944) and Savage

  1. On the Hughes model and numerical aspects

    KAUST Repository

    Gomes, Diogo A.; Machado Velho, Roberto

    2017-01-01

    We study a crowd model proposed by R. Hughes in [11] and we describe a numerical approach to solve it. This model comprises a Fokker-Planck equation coupled with an eikonal equation with Dirichlet or Neumann data. First, we establish a priori

  2. Some Numerical Aspects on Crowd Motion - The Hughes Model

    KAUST Repository

    Gomes, Diogo A.; Machado Velho, Roberto

    2016-01-01

    Here, we study a crowd model proposed by R. Hughes in [5] and we describe a numerical approach to solve it. This model comprises a Fokker-Planck equation coupled with an Eikonal equation with Dirichlet or Neumann data. First, we establish a priori

  3. On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces

    Directory of Open Access Journals (Sweden)

    E. J. Atto

    2014-04-01

    Full Text Available We define a particular space of bounded linear maps using a Von Neumann algebra and some operator spaces. By this, we prove some isomorphisms, and using interpolation in some particular cases, we get analogue of non-commutative Lp spaces.

  4. The effect of a curvature-dependent surface tension on the singularities at the tips of a straight interface crack

    KAUST Repository

    Zemlyanova, A. Y.

    2013-01-01

    A problem of an interface crack between two semi-planes made out of different materials under an action of an in-plane loading of general tensile-shear type is treated in a semi-analytical manner with the help of Dirichlet-to-Neumann mappings

  5. Computational complementarity

    International Nuclear Information System (INIS)

    Finkelstein, D.; Finkelstein, S.R.

    1983-01-01

    Interactivity generates paradox in that the interactive control by one system C of predicates about another system-under-study S may falsify these predicates. An ''interactive logic'' is formulated to resolve this paradox of interactivity. The construction generalizes one, the Galois connection, used by Von Neumann for the similar quantum paradox. The construction is applied to a transition system, a concept that includes general systems, automata, and quantum systems. In some (classical) automata S, the interactive predicates about S show quantumlike complementarity arising from interactivity. The interactive paradox generates the quantum paradox. Some classical S's have noncommutative algebras of interactively observable coordinates similar to the Heisenberg algebra of a quantum system. Such S's are ''hidden variable'' models of quantum theory not covered by the hidden variable studies of Von Neumann, Bohm, Bell, or Kochen and Specker. It is conceivable that some quantum effects in Nature arise from interactivity. (author)

  6. Method of interior boundaries in a mixed problem of acoustic scattering

    Directory of Open Access Journals (Sweden)

    P. A. Krutitskii

    1999-01-01

    Full Text Available The mixed problem for the Helmholtz equation in the exterior of several bodies (obstacles is studied in 2 and 3 dimensions. The Dirichlet boundary condition is given on some obstacles and the impedance boundary condition is specified on the rest. The problem is investigated by a special modification of the boundary integral equation method. This modification can be called ‘Method of interior boundaries’, because additional boundaries are introduced inside scattering bodies, where impedance boundary condition is given. The solution of the problem is obtained in the form of potentials on the whole boundary. The density in the potentials satisfies the uniquely solvable Fredholm equation of the second kind and can be computed by standard codes. In fact our method holds for any positive wave numbers. The Neumann, Dirichlet, impedance problems and mixed Dirichlet–Neumann problem are particular cases of our problem.

  7. Studies on entanglement entropy for Hubbard model with hole-doping and external magnetic field [rapid communication

    Science.gov (United States)

    Yao, K. L.; Li, Y. C.; Sun, X. Z.; Liu, Q. M.; Qin, Y.; Fu, H. H.; Gao, G. Y.

    2005-10-01

    By using the density matrix renormalization group (DMRG) method for the one-dimensional (1D) Hubbard model, we have studied the von Neumann entropy of a quantum system, which describes the entanglement of the system block and the rest of the chain. It is found that there is a close relation between the entanglement entropy and properties of the system. The hole-doping can alter the charge charge and spin spin interactions, resulting in charge polarization along the chain. By comparing the results before and after the doping, we find that doping favors increase of the von Neumann entropy and thus also favors the exchange of information along the chain. Furthermore, we calculated the spin and entropy distribution in external magnetic filed. It is confirmed that both the charge charge and the spin spin interactions affect the exchange of information along the chain, making the entanglement entropy redistribute.

  8. Inequalities among eigenvalues of Sturm–Liouville problems

    Directory of Open Access Journals (Sweden)

    Kong Q

    1999-01-01

    Full Text Available There are well-known inequalities among the eigenvalues of Sturm–Liouville problems with periodic, semi-periodic, Dirichlet and Neumann boundary conditions. In this paper, for an arbitrary coupled self-adjoint boundary condition, we identify two separated boundary conditions corresponding to the Dirichlet and Neumann conditions in the classical case, and establish analogous inequalities. It is also well-known that the lowest periodic eigenvalue is simple; here we prove a similar result for the general case. Moreover, we show that the algebraic and geometric multiplicities of the eigenvalues of self-adjoint regular Sturm–Liouville problems with coupled boundary conditions are the same. An important step in our approach is to obtain a representation of the fundamental solutions for sufficiently negative values of the spectral parameter. Our approach yields the existence and boundedness from below of the eigenvalues of arbitrary self-adjoint regular Sturm–Liouville problems without using operator theory.

  9. Computational complementarity

    Energy Technology Data Exchange (ETDEWEB)

    Finkelstein, D; Finkelstein, S R

    1983-08-01

    Interactivity generates paradox in that the interactive control by one system C of predicates about another system-under-study S may falsify these predicates. An ''interactive logic'' is formulated to resolve this paradox of interactivity. The construction generalizes one, the Galois connection, used by Von Neumann for the similar quantum paradox. The construction is applied to a transition system, a concept that includes general systems, automata, and quantum systems. In some (classical) automata S, the interactive predicates about S show quantumlike complementarity arising from interactivity. The interactive paradox generates the quantum paradox. Some classical S's have noncommutative algebras of interactively observable coordinates similar to the Heisenberg algebra of a quantum system. Such S's are ''hidden variable'' models of quantum theory not covered by the hidden variable studies of Von Neumann, Bohm, Bell, or Kochen and Specker. It is conceivable that some quantum effects in Nature arise from interactivity.

  10. Cyclic cellular automata in 3D

    International Nuclear Information System (INIS)

    Reiter, Clifford A.

    2011-01-01

    Highlights: → We explore the self-organization of cyclic cellular automata in 3D. → Von Neumann, Moore and two types of intermediate neighborhoods are investigated. → Random neighborhoods self organize through phases into complex nested structures. → Demons are seen to have many alternatives in 3D. - Abstract: Cyclic cellular automata in two dimensions have long been intriguing because they self organize into spirals and that behavior can be analyzed. The form for the patterns that develop is highly dependent upon the form of the neighborhood. We extend this work to three dimensional cyclic cellular automata and observe self organization dependent upon the neighborhood type. This includes neighborhood types intermediate between Von Neumann and Moore neighborhoods. We also observe that the patterns include nested shells with the appropriate forms but that the nesting is far more complex than the spirals that occur in two dimensions.

  11. Studies on entanglement entropy for Hubbard model with hole-doping and external magnetic field

    International Nuclear Information System (INIS)

    Yao, K.L.; Li, Y.C.; Sun, X.Z.; Liu, Q.M.; Qin, Y.; Fu, H.H.; Gao, G.Y.

    2005-01-01

    By using the density matrix renormalization group (DMRG) method for the one-dimensional (1D) Hubbard model, we have studied the von Neumann entropy of a quantum system, which describes the entanglement of the system block and the rest of the chain. It is found that there is a close relation between the entanglement entropy and properties of the system. The hole-doping can alter the charge-charge and spin-spin interactions, resulting in charge polarization along the chain. By comparing the results before and after the doping, we find that doping favors increase of the von Neumann entropy and thus also favors the exchange of information along the chain. Furthermore, we calculated the spin and entropy distribution in external magnetic filed. It is confirmed that both the charge-charge and the spin-spin interactions affect the exchange of information along the chain, making the entanglement entropy redistribute

  12. Quantum Statistical Operator and Classically Chaotic Hamiltonian ...

    African Journals Online (AJOL)

    Quantum Statistical Operator and Classically Chaotic Hamiltonian System. ... Journal of the Nigerian Association of Mathematical Physics ... In a Hamiltonian system von Neumann Statistical Operator is used to tease out the quantum consequence of (classical) chaos engendered by the nonlinear coupling of system to its ...

  13. Users in the Driver's Seat: A New Approach to Classifying Teaching Methods in a University Repository

    NARCIS (Netherlands)

    Neumann, Susanne; Oberhuemer, Petra; Koper, Rob

    2009-01-01

    Neumann, S., Oberhuemer, P., & Koper, R. (2009). Users in the Driver's Seat: A New Approach to Classifying Teaching Methods in a University Repository. In U. Cress, V. Dimitrova & M. Specht (Eds.), Learning in the Synergy of Multiple Disciplines. Proceedings of the Fourth European Conference on

  14. The equality case in a Poincare-Wirtinger type inequality

    Czech Academy of Sciences Publication Activity Database

    Brandolini, B.; Chiacchio, F.; Krejčiřík, David; Trombetti, C.

    2016-01-01

    Roč. 27, č. 4 (2016), s. 443-464 ISSN 1120-6330 R&D Projects: GA ČR(CZ) GA14-06818S Institutional support: RVO:61389005 Keywords : Hermite operator * Neumann eigenvalues * thin strips Subject RIV: BE - Theoretical Physics Impact factor: 1.096, year: 2016

  15. Relative Utilitarianism

    OpenAIRE

    DHILLON, Amrita; MERTENS, Jean-François

    1993-01-01

    In a framework of preferences over lotteries, we show that an axiom system consisting of weakned versions of Arrow’s axioms has a unique solution. “Relative Utilitarianism” consists of first normalizing individual von Neumann-Morgenstern utilities between 0 and 1 and then summing them.

  16. Disease: H00509 [KEGG MEDICUS

    Lifescience Database Archive (English)

    Full Text Available Graul-Neumann LM, van Hagen JM, van Hest L, Horovitz D, Melki J, Partsch CJ, Plauchu H, Rajab...H, van Hest L, Lund AM, Michaud J, Oley C, Patel C, Rajab A, Skidmore DL, Stewart H, Tauber M, Munnich A, Co

  17. 2. From Shannon To Quantum Information Science

    Indian Academy of Sciences (India)

    ... Journals; Resonance – Journal of Science Education; Volume 7; Issue 5. From Shannon to Quantum Information Science - Mixed States. Rajiah Simon. General Article Volume 7 Issue 5 May 2002 pp 16-33 ... Keywords. Mixed states; entanglement witnesses; partial transpose; quantum computers; von Neumann entropy ...

  18. Ship Springing Response in Finite Water Depth

    DEFF Research Database (Denmark)

    Vidic-Perunovic, Jelena

    2012-01-01

    Second-order forces and moments are derived for the pressure integration and the momentum conservation methods. They are implemented in the time-domain boundary element code AEGIR. Both Neumann-Kelvin and double-body flow linearization are used. Good agreement is found between AEGIR’s results...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Extending the result for one dimensional noise, strong convergence of quantum random walks associated with bounded structure maps to Evans–Hudson flow is proved under suitable assumptions. Starting from the bounded generator of a given uniformly continuous quantum dynamical semigroup on a von Neumann ...

  20. Bernstein, Nils: „kennen sie mich herren/meine damen und herren”. Phraseologismen in Moderner Lyrik am Beispiel von Ernst Jandl und Nicanor Parra.

    Directory of Open Access Journals (Sweden)

    Urška Valenčič Arh

    2013-12-01

    Full Text Available Bernstein, Nils (2011: „kennen sie mich herren/meine damen und herren”. Phraseologismen in Moderner Lyrik am Beispiel von Ernst Jandl und Nicanor Parra. Würzburg: Königshausen&Neumann. ISBN: 978-3-8260-4699-5, mehka vezava, 262 strani, 38,00 EUR

  1. Expected utility with lower probabilities

    DEFF Research Database (Denmark)

    Hendon, Ebbe; Jacobsen, Hans Jørgen; Sloth, Birgitte

    1994-01-01

    An uncertain and not just risky situation may be modeled using so-called belief functions assigning lower probabilities to subsets of outcomes. In this article we extend the von Neumann-Morgenstern expected utility theory from probability measures to belief functions. We use this theory...

  2. The Possibility of Impossible Stairways and Greener Grass

    NARCIS (Netherlands)

    Voorneveld, M.

    2007-01-01

    In classical game theory, players have finitely many actions and evaluate outcomes of mixed strategies using a von Neumann-Morgenstern utility function. Allowing a larger, but countable, player set introduces a host of phenomena that are impossible in finite games. Firstly, in coordination games,

  3. Application of polynomial preconditioners to conservation laws

    NARCIS (Netherlands)

    Geurts, Bernardus J.; van Buuren, R.; Lu, H.

    2000-01-01

    Polynomial preconditioners which are suitable in implicit time-stepping methods for conservation laws are reviewed and analyzed. The preconditioners considered are either based on a truncation of a Neumann series or on Chebyshev polynomials for the inverse of the system-matrix. The latter class of

  4. Scattering through a straight quantum waveguide with combined boundary conditions

    Czech Academy of Sciences Publication Activity Database

    Briet, Ph.; Dittrich, Jaroslav; Soccorsi, E.

    2014-01-01

    Roč. 55, č. 11 (2014), s. 112104 ISSN 0022-2488 R&D Projects: GA ČR(CZ) GA14-06818S Institutional support: RVO:61389005 Keywords : quantum waveguide * scattering * Dirichlet boundary condition * Neumann boundary condition Subject RIV: BE - Theoretical Physics Impact factor: 1.243, year: 2014

  5. Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations

    DEFF Research Database (Denmark)

    Garde, Henrik

    2018-01-01

    . For a fair comparison, exact matrix characterizations are used when probing the monotonicity relations to avoid errors from numerical solution to PDEs and numerical integration. Using a special factorization of the Neumann-to-Dirichlet map also makes the non-linear method as fast as the linear method...

  6. Self-Propagating Worms in Wireless Sensor Networks

    DEFF Research Database (Denmark)

    Giannetsos, Thanassis; Dimitriou, Tassos; Prasad, Neeli R.

    2009-01-01

    Malicious code is defined as software designed to execute attacks on software systems. This work demonstrates the possibility of executing malware on wireless sensor nodes that are based on the von Neumann architecture. This is achieved by exploiting a buffer overflow vulnerability to smash the c...

  7. Organization of Workshop on Emerging Technologies for In-Situ Processing

    Science.gov (United States)

    1992-08-31

    scale Structures Kengi Gamo Low Energy Fused Ion Beam System and In Situ Processing Mikio Takai Nanofabrication Using STM Tip (Discussion: Melngailis...Jon Orloff & Mitsugu Sato 1 Oregon Graduate Institute 19600 von Neumann Drive Beaverton, OR 97006, USA A high resolution focused ion beam (FIB) is an

  8. Entanglement of an Impurity in a Few-Body One-Dimensional Ideal Bose System

    DEFF Research Database (Denmark)

    García-March, M. A.; Salami Dehkharghani, Amin; Zinner, N. T.

    2016-01-01

    We study the correlation between an impurity and a small ensemble of bosonic particles in one dimension. Our study analyzes the one-body density matrix and calculates the corresponding von Neumann entanglement entropy as a function of interaction strength between the impurity and the bosons when ...

  9. Main Memory

    NARCIS (Netherlands)

    P.A. Boncz (Peter); L. Liu (Lei); M. Tamer Özsu

    2008-01-01

    htmlabstractPrimary storage, presently known as main memory, is the largest memory directly accessible to the CPU in the prevalent Von Neumann model and stores both data and instructions (program code). The CPU continuously reads instructions stored there and executes them. It is also called Random

  10. Transgender across the Curriculum: A Psychology for Inclusion

    Science.gov (United States)

    Case, Kim A.; Stewart, Briana; Tittsworth, Josephine

    2009-01-01

    Neumann (2005) called for an analysis of marginalization and inclusion of lesbian, gay, and bisexual students in psychology. As psychology instructors begin to infuse such content, the curriculum still overwhelmingly neglects the transgender community. This invisibility of transgender people within psychology courses allows for perpetuation of…

  11. The Twin-Cycle Experiential Learning Model: Reconceptualising Kolb's Theory

    Science.gov (United States)

    Bergsteiner, Harald; Avery, Gayle C.

    2014-01-01

    Experiential learning styles remain popular despite criticisms about their validity, usefulness, fragmentation and poor definitions and categorisation. After examining four prominent models and building on Bergsteiner, Avery, and Neumann's suggestion of a dual cycle, this paper proposes a twin-cycle experiential learning model to overcome…

  12. Paschke Dilations

    Directory of Open Access Journals (Sweden)

    Abraham Westerbaan

    2017-01-01

    Full Text Available In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring's dilation for normal maps into B(H.

  13. Jordan Isomorphisms on Nest Subalgebras

    Directory of Open Access Journals (Sweden)

    Aili Yang

    2015-01-01

    Full Text Available This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann algebras. It is shown that every Jordan isomorphism ϕ between the two nest subalgebras algMβ and algMγ is either an isomorphism or an anti-isomorphism.

  14. The von Neumann way to treat systems of mixed dimensionality

    Czech Academy of Sciences Publication Activity Database

    Exner, Pavel

    2005-01-01

    Roč. 55, č. 1 (2005), s. 79-92 ISSN 0034-4877 R&D Projects: GA AV ČR(CZ) IAA100480501 Institutional research plan: CEZ:AV0Z10480505 Keywords : singular coupling * self-adjoint extensions Subject RIV: BE - Theoretical Physics Impact factor: 0.606, year: 2005

  15. Mixed Boundary Value Problem on Hypersurfaces

    Directory of Open Access Journals (Sweden)

    R. DuDuchava

    2014-01-01

    Full Text Available The purpose of the present paper is to investigate the mixed Dirichlet-Neumann boundary value problems for the anisotropic Laplace-Beltrami equation divC(A∇Cφ=f on a smooth hypersurface C with the boundary Γ=∂C in Rn. A(x is an n×n bounded measurable positive definite matrix function. The boundary is decomposed into two nonintersecting connected parts Γ=ΓD∪ΓN and on ΓD the Dirichlet boundary conditions are prescribed, while on ΓN the Neumann conditions. The unique solvability of the mixed BVP is proved, based upon the Green formulae and Lax-Milgram Lemma. Further, the existence of the fundamental solution to divS(A∇S is proved, which is interpreted as the invertibility of this operator in the setting Hp,#s(S→Hp,#s-2(S, where Hp,#s(S is a subspace of the Bessel potential space and consists of functions with mean value zero.

  16. Orthogonality, Lommel integrals and cross product zeros of linear combinations of Bessel functions.

    Science.gov (United States)

    Ziener, Christian H; Kurz, Felix T; Buschle, Lukas R; Kampf, Thomas

    2015-01-01

    The cylindrical Bessel differential equation and the spherical Bessel differential equation in the interval [Formula: see text] with Neumann boundary conditions are considered. The eigenfunctions are linear combinations of the Bessel function [Formula: see text] or linear combinations of the spherical Bessel functions [Formula: see text]. The orthogonality relations with analytical expressions for the normalization constant are given. Explicit expressions for the Lommel integrals in terms of Lommel functions are derived. The cross product zeros [Formula: see text] and [Formula: see text] are considered in the complex plane for real as well as complex values of the index [Formula: see text] and approximations for the exceptional zero [Formula: see text] are obtained. A numerical scheme based on the discretization of the two-dimensional and three-dimensional Laplace operator with Neumann boundary conditions is presented. Explicit representations of the radial part of the Laplace operator in form of a tridiagonal matrix allow the simple computation of the cross product zeros.

  17. Time symmetry and interpretation of quantum mechanics. [Paradoxes

    Energy Technology Data Exchange (ETDEWEB)

    de Beauregard, O.C.

    1976-10-01

    A drastic resolution of the quantum paradoxes is proposed, combining (I) von Neumann's postulate that collapse of the state vector is due to the act of observation, and (II) my reinterpretation of von Neumann's quantal irreversibility as an equivalence between wave retardation and entropy increase, both being ''factlike'' rather than ''lawlike'' (Mehlberg). This entails a coupling of the two de jure symmetries between (I) retarded and (II) advanced waves, and between Aristotle's information as (I) learning and (II) willing awareness. Symmetric acceptance of cognizance as a source of retarded waves, and of will as a sink of advanced waves, is submitted as a central ''paradox'' of the Copernican or Einsteinian sort, out of which new light is shed upon previously known paradoxes, such as the EPR paradox, Schroedinger's cat, and Wigner's friend. Parapsychology is thus found to creep into the picture.

  18. Combinatorial algebra syntax and semantics

    CERN Document Server

    Sapir, Mark V

    2014-01-01

    Combinatorial Algebra: Syntax and Semantics provides a comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of  more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about the growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata.   With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified...

  19. Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

    Science.gov (United States)

    Mantile, Andrea; Posilicano, Andrea; Sini, Mourad

    2016-07-01

    The theory of self-adjoint extensions of symmetric operators is used to construct self-adjoint realizations of a second-order elliptic differential operator on Rn with linear boundary conditions on (a relatively open part of) a compact hypersurface. Our approach allows to obtain Kreĭn-like resolvent formulae where the reference operator coincides with the ;free; operator with domain H2 (Rn); this provides an useful tool for the scattering problem from a hypersurface. Concrete examples of this construction are developed in connection with the standard boundary conditions, Dirichlet, Neumann, Robin, δ and δ‧-type, assigned either on a (n - 1) dimensional compact boundary Γ = ∂ Ω or on a relatively open part Σ ⊂ Γ. Schatten-von Neumann estimates for the difference of the powers of resolvents of the free and the perturbed operators are also proven; these give existence and completeness of the wave operators of the associated scattering systems.

  20. AI and Mathematical Education

    Directory of Open Access Journals (Sweden)

    Angel Garrido

    2012-01-01

    Full Text Available From ancient times, the history of human beings has developed by a succession of steps and sometimes jumps, until reaching the relative sophistication of the modern brain and culture. Researchers are attempting to create systems that mimic human thinking, understand speech, or beat the best human chess player. Understanding the mechanisms of intelligence, and creating intelligent artifacts are the twin goals of Artificial Intelligence (AI. Great mathematical minds have played a key role in AI in recent years; to name only a few: Janos Neumann (also known as John von Neumann, Konrad Zuse, Norbert Wiener, Claude E. Shannon, Alan M. Turing, Grigore Moisil, Lofti A. Zadeh, Ronald R. Yager, Michio Sugeno, Solomon Marcus, or Lászlo A. Barabási. Introducing the study of AI is not merely useful because of its capability for solving difficult problems, but also because of its mathematical nature. It prepares us to understand the current world, enabling us to act on the challenges of the future.

  1. Partial differential equations in several complex variables

    CERN Document Server

    Chen, So-Chin

    2001-01-01

    This book is intended both as an introductory text and as a reference book for those interested in studying several complex variables in the context of partial differential equations. In the last few decades, significant progress has been made in the fields of Cauchy-Riemann and tangential Cauchy-Riemann operators. This book gives an up-to-date account of the theories for these equations and their applications. The background material in several complex variables is developed in the first three chapters, leading to the Levi problem. The next three chapters are devoted to the solvability and regularity of the Cauchy-Riemann equations using Hilbert space techniques. The authors provide a systematic study of the Cauchy-Riemann equations and the \\bar\\partial-Neumann problem, including L^2 existence theorems on pseudoconvex domains, \\frac 12-subelliptic estimates for the \\bar\\partial-Neumann problems on strongly pseudoconvex domains, global regularity of \\bar\\partial on more general pseudoconvex domains, boundary ...

  2. The Saturation of Several Universal Inequalities in Information-Processing

    International Nuclear Information System (INIS)

    Zhang Lin; Wu Jun-De; Fei Shao-Ming

    2015-01-01

    In this paper, we characterize the saturation of four universal inequalities in quantum information theory, including a variant version of strong subadditivity inequality for von Neumann entropy, the coherent information inequality, the Holevo quantity, and average entropy inequalities. These results shed new light on quantum information inequalities. (paper)

  3. Evolution of entropy in different types of non-Markovian three-level ...

    Indian Academy of Sciences (India)

    We solve the Nakajima–Zwanzig (NZ) non-Markovian master equation to study the dynamics of different types of three-level atomic systems interacting with bosonic Lorentzian reservoirs at zero temperature. Von Neumann entropy (S) is used to show the evolution of the degree of entanglement of the subsystems.

  4. Quantum random walks and their convergence to Evans–Hudson ...

    Indian Academy of Sciences (India)

    Quantum dynamical semigroup; Evans–Hudson flow; quantum random walk. 1. Introduction. The aim of this article is to investigate convergence of random walks on von Neumann algebra to Evans–Hudson flows. Here the random walks and Evans–Hudson flows are gene- ralizations of classical Markov chains and Markov ...

  5. Journal of Biosciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Replica-moulded polydimethylsiloxane culture vessel lids attenuate osmotic drift in long-term cell cultures · Axel Blau Tanja Neumann Christiane Ziegler Fabio Benfenati ... otherwise conventional cell culture conditions. pp 71-83 Articles. Molecular evolution of the E8 promoter in tomato and some of its relative wild species.

  6. Report of the Results of an IMS LEarning Design Expert Workshop

    NARCIS (Netherlands)

    Neumann, Susanne; Klebl, Michael; Griffiths, David; Hernández-Leo, Davinia; De la Fuente-Valentin, Luis; Hummel, Hans; Brouns, Francis; Derntl, Michael; Oberhuemer, Petra

    2009-01-01

    Neumann, S., Klebl, M., Griffiths, D., Hernández-Leo, D., de la Fuente Valentín, L., Hummel, H., Brouns, F., Derntl, M., & Oberhuemer, P. (2010). Report of the Results of an IMS Learning Design Expert Workshop. International Journal Of Emerging Technologies In Learning (IJET), 5(1), pp.

  7. Analysis of temperature distribution in a heat conducting fiber with ...

    African Journals Online (AJOL)

    The temperature distribution in a heat conducting fiber is computed using the Galerkin Finite Element Method in the present study. The weak form of the governing differential equation is obtained and nodal temperatures for linear and quadratic interpolation functions for different mesh densities are calculated for Neumann ...

  8. Cellular automata simulations on a FPGA cluster

    NARCIS (Netherlands)

    Murtaza, S.; Hoekstra, A.G.; Sloot, P.M.A.

    2011-01-01

    The emergence of multicore architectures and the chip industry’s plan to roll out hundreds of cores per die sometime in the near future might have triggered the evolution of von Neumann architectures towards a parallel processing paradigm. The capability to have hundreds of cores per die is

  9. Game theory and its role in determining optimal policies and strategic interaction between fiscal and monetary policymakers : (Application of differential game theory and stackelberg games)

    NARCIS (Netherlands)

    Mahmoudinia, D.; Esfahani, Rahim Dalali; Engwerda, Jacob; Dastjerdi, R.B.

    2016-01-01

    In this study, we follow several purpose. In the first section, the game theory concept and the formation of its fundamental concepts is examined. After that, we investigate that how von Neumann-Morgenstern (1944) and john Nash (1950-1953) works, caused the formation of modern game theory. Then, we

  10. Comments on Hypersonic Boundary-Layer Transition

    Science.gov (United States)

    1990-09-01

    mechanism by which boundary-layer disturbance growth is generally initiated and establishes the initial distur- banca amplitude at the onset of disturbance...Patankar, S. V., and Spalding, P. B., Heat and Mass Transfer in Boundary Lavers, CRC Press , Cleveland, Ohio, 1968. 87. Neumann, R. D., and Patterson, .J. 1

  11. On Reduced Amalgamated Free Products of C*-algebras and the MF-Property

    DEFF Research Database (Denmark)

    Seebach, Jonas A.

    We establish an isomorphism of the group von Neumann algebra of an amalgamated free product of countable Abelian discrete groups. This result is then used to give some new examples of reduced group $ C^* $-algebras which are MF. Finally, we give a characterization of the amalgamated free products...

  12. On the solvability of initial boundary value problems for nonlinear ...

    African Journals Online (AJOL)

    In this paper, we study the initial boundary value problems for a non-linear time dependent Schrödinger equation with Dirichlet and Neumann boundary conditions, respectively. We prove the existence and uniqueness of solutions of the initial boundary value problems by using Galerkin's method. Keywords: Initial boundary ...

  13. Mitigating Sleep Loss: Assessment of Omega-3 Fatty Acids

    Science.gov (United States)

    2011-04-15

    Abstract Supplement):A462-A3. 87. Cohen H, Matar MA, Kaplan Z, Kotler M. Power spectral analysis of heart rate variability in psychiatry. Psychotherapy...and psychosomatics. 1999;68(2):59-66. 88. Cohen H, Neumann L, Kotler M, Buskila D. Autonomic nervous system derangement in fibromyalgia syndrome and

  14. A planar calculus for infinite index subfactors

    OpenAIRE

    Penneys, David

    2011-01-01

    We develop an analog of Jones' planar calculus for II_1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.

  15. A Planar Calculus for Infinite Index Subfactors

    Science.gov (United States)

    Penneys, David

    2013-05-01

    We develop an analog of Jones' planar calculus for II 1-factor bimodules with arbitrary left and right von Neumann dimension. We generalize to bimodules Burns' results on rotations and extremality for infinite index subfactors. These results are obtained without Jones' basic construction and the resulting Jones projections.

  16. Potential theory, path integrals and the Laplacian of the indicator

    NARCIS (Netherlands)

    R.-J. Lange (Rutger-Jan)

    2012-01-01

    markdownabstractThis paper links the field of potential theory — i.e. the Dirichlet and Neumann problems for the heat and Laplace equation — to that of the Feynman path integral, by postulating the some seemingly ill-defined potential. The Laplacian of the indicator can be interpreted using the

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Permanent link: https://www.ias.ac.in/article/fulltext/pmsc/123/02/0253-0256. Keywords. Unbounded normal operator; abelian von Neumann algebra; bounding sequence. Abstract. We prove the following generalization of the Fuglede–Puntam theorem. Let be an unbounded normal operator in the Hilbert space, and let  ...

  18. Remark on the Operator-valued Interpolation for Multivariable Bounded Analytic Functions

    Czech Academy of Sciences Publication Activity Database

    Ambrozie, Calin-Grigore

    2004-01-01

    Roč. 53, č. 6 (2004), s. 1551-1576 ISSN 0022-2518 R&D Projects: GA ČR(CZ) GA201/03/0041 Institutional research plan: CEZ:AV0Z1019905 Keywords : von Neumann inequality * interpolation * analytic functions Subject RIV: BA - General Mathematics Impact factor: 0.784, year: 2004

  19. The composite iteration algorithm for finding efficient and financially fair risk-sharing rules

    NARCIS (Netherlands)

    Pazdera, J.; Schumacher, J.M.; Werker, B.J.M.

    2017-01-01

    We consider the problem of finding an efficient and fair ex-ante rule for division of an uncertain monetary outcome among a finite number of von Neumann-Morgenstern agents. Efficiency is understood here, as usual, in the sense of Pareto efficiency subject to the feasibility constraint. Fairness is

  20. A Schur Method for Designing LQ-optimal Systems with Prescribed Eigenvalues

    Directory of Open Access Journals (Sweden)

    David Di Ruscio

    1990-01-01

    Full Text Available In this paper a new algorithm for solving the LQ-optimal pole placement problem is presented. The method studied is a variant of the classical eigenvector approach and instead uses a set of Schur vectors, thereby gaining substantial numerical advantages. An important task in this method is the LQ-optimal pole placement problem for a second order (sub system. The paper presents a detailed analytical solution to this problem. This part is not only important for solving the general n-dimensional problem but also provides an understanding of the behaviour of an optimal system: The paper shows that in some cases it is an infinite number; in others a finite number, and in still others, non state weighting matrices Q that give the system a set of prescribed eigenvalues. Equations are presented that uniquely determine these state weight matrices as a function of the new prescribed eigcnvalues. From this result we have been able to derive the maximum possible imaginary part of the eigenvalues in an LQ-optimal system, irrespective of how the state weight matrix is chosen.

  1. The application of asymmetric entangled states in quantum games

    International Nuclear Information System (INIS)

    Li Ye; Qin Gan; Zhou Xianyi; Du Jiangfeng

    2006-01-01

    We propose a more general entangling operator in the quantization of Cournot model. It is discovered that the total profit at the Nash equilibrium always achieves maximum once the von Neumann entropy tends to infinity. Moreover, the asymmetry introduced here would cause some 'encouraging' and 'suppressing' effect on players' profit

  2. Quality for quantum free fields

    International Nuclear Information System (INIS)

    Leyland, Pen; Roberts, John; Testard, Daniel; Centre National de la Recherche Scientifique, 13 - Marseille

    1978-07-01

    A proof is given concerning duality for the free neutral scalar boson field (abstract duality). Then real subspaces of a complex Hilbert space and the Von Neumann algebra associated with real subspaces are considered. Lastly duality for free fields (free electromagnetic field and free scalar field of any mass) is studied

  3. Some open problems in noncommutative probability

    International Nuclear Information System (INIS)

    Kruszynski, P.

    1981-01-01

    A generalization of probability measures to non-Boolean structures is discussed. The starting point of the theory is the Gleason theorem about the form of measures on closed subspaces of a Hilbert space. The problems are formulated in terms of probability on lattices of projections in arbitrary von Neumann algebras. (Auth.)

  4. Reconstruction of less regular conductivities in the plane

    DEFF Research Database (Denmark)

    Knudsen, Kim; Tamasan, Alexandru

    2004-01-01

    Dirichlet-to-Neumann map is given. We assume that the conductivity has essentially one derivative, and hence we improve earlier reconstruction results. The method relies on a reduction of the conductivity equation to a first order system, to which the $\\bar{\\partial}$-method of inverse scattering theory can...... be applied....

  5. Algebras of Random Operators Associated to Delone Dynamical Systems

    International Nuclear Information System (INIS)

    Lenz, Daniel; Stollmann, Peter

    2003-01-01

    We carry out a careful study of operator algebras associated with Delone dynamical systems. A von Neumann algebra is defined using noncommutative integration theory. Features of these algebras and the operators they contain are discussed. We restrict our attention to a certain C*-subalgebra to discuss a Shubin trace formula

  6. Comments concerning the status of the White-bellied Bustard race ...

    African Journals Online (AJOL)

    Neumann (1907) corrected Reichenow's error and showed that erlangeri was no more than a synonym of ... Erlanger, C.F. von. 1905. Beitrage zur Vogelfauna Nordostafrikas. J. Orn. 53:84. Friedmann, H. 1930. Birds Collected by the Childs Frick Expedition to Ethiopia and Kenya. Colony. Part 1, Non-Passeres. US Nat. Mus.

  7. Algebraic characterizations of measure algebras

    Czech Academy of Sciences Publication Activity Database

    Jech, Thomas

    2008-01-01

    Roč. 136, č. 4 (2008), s. 1285-1294 ISSN 0002-9939 R&D Projects: GA AV ČR IAA100190509 Institutional research plan: CEZ:AV0Z10190503 Keywords : Von - Neumann * sequential topology * Boolean-algebras * Souslins problem * Submeasures Subject RIV: BA - General Mathematics Impact factor: 0.584, year: 2008

  8. Development of an automated desktop procedure for defining macro ...

    African Journals Online (AJOL)

    methods (Von Neumann mean square error, CUSUM plots or unweighted values and the Worsley Likelihood Ratio Test (WLRT)) were used to define macro-reach breaks for four South African rivers (Crocodile, Olifants, Mhlathuze and Seekoei Rivers) and were compared to ... Water SA Vol.32 (3) 2006: pp.395-402 ...

  9. BBGKY hierarchy and dynamics of correlations

    International Nuclear Information System (INIS)

    Polishchuk, D.O.

    2010-01-01

    We derive the BBGKY hierarchy for the Fermi and Bose many-particle systems, using the von Neumann hierarchy for the correlation operators. The solution of the Cauchy problem of the formulated hierarchy in the case of an n-body interaction potential is constructed in the space of sequences of trace-class operators.

  10. High-order finite-difference methods for Poisson's equation

    NARCIS (Netherlands)

    van Linde, Hendrik Jan

    1971-01-01

    In this thesis finite-difference approximations to the three boundary value problems for Poisson’s equation are given, with discretization errors of O(H^3) for the mixed boundary value problem, O(H^3 |ln(h)| for the Neumann problem and O(H^4)for the Dirichlet problem respectively . First an operator

  11. Eigenstates of a particle in an array of hexagons with periodic boundary condition

    Directory of Open Access Journals (Sweden)

    A Nemati

    2013-10-01

    Full Text Available In this paper the problem of a particle in an array of hexagons with periodic boundary condition is solved. Using the projection operators, we categorize eigenfunctions corresponding to each of the irreducible representations of the symmetry group . Based on these results, the Dirichlet and Neumann boundary conditions are discussed.

  12. Faculty Agency: Departmental Contexts That Matter in Faculty Careers

    Science.gov (United States)

    Campbell, Corbin M.; O'Meara, KerryAnn

    2014-01-01

    In a modern context of constrained resources and high demands, faculty exert agency to strategically navigate their careers (Baez 2000a; Neumann et al. 2006). Guided by the O'Meara et al. (2011) framework on agency in faculty professional lives, this study used Structural Equation Modeling to investigate which departmental factors…

  13. Author Details

    African Journals Online (AJOL)

    Bichi, AY. Vol 17 (2010) - Articles Martingales of the Generalized Conditional Expectations on the Generalized Positive Operators of a von Neumann algebra. Abstract. ISSN: 1116-4336. AJOL African Journals Online. HOW TO USE AJOL... for Researchers · for Librarians · for Authors · FAQ's · More about AJOL · AJOL's ...

  14. Pramana – Journal of Physics | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    We have addressed the foundational issue of how a macroscopic quantum system starting off as a pure state tends towards a mixed state described by the microcanonical ensemble. The earlier works of von Neumann and Van Kampen are also reviewed. A simple criterion is given as to when the above mentioned passage ...

  15. Seeking a Human Spaceflight Program Worthy of a Great Nation. Review of U.S. Human Spaceflight Plans Committee

    Science.gov (United States)

    2009-10-01

    Steve Metschan George E. Mueller Elon Musk Jack Mustard Clive Neal Scott Neish Benjamin J. Neumann Mike O’Brien Sean O’Keefe John Olson Scott Pace Anatoly...July 2009 Musk , Elon , “COTS Status Update & Crew Capabilities”, SpaceX, 16 June 2009 Musk , Elon , “COTS Status Update & Crew Capabilities”, SpaceX

  16. Mini-lecture course: Introduction into hierarchical matrix technique

    KAUST Repository

    Litvinenko, Alexander

    2017-01-01

    allows us to work with general class of matrices (not only structured or Toeplits or sparse). H-matrices can keep the H-matrix data format during linear algebra operations (inverse, update, Schur complement).

  17. Electromagnetic dipole radiation of oscillating D-branes

    International Nuclear Information System (INIS)

    Savvidy, G.K.

    2000-01-01

    I emphasize analogy between Dp-branes in string theories and solitons in gauge theories comparing their common properties and showing differences. In string theory we do not have the full set of equations which define the theory in all orders of coupling constant as it was in gauge theories, nevertheless such solutions have been found as solutions of low energy superstring effective action carrying the RR charges. The existence of dynamical RR charged extended objects in string theory has been deduced also by considering string theory with mixed boundary conditions, when type II closed superstring theory is enriched by open strings with Neumann boundary conditions on p + 1 directions and Dirichlet conditions on the remaining 9-p transverse directions. We will show that for certain excitations of the string/D3-brane system Neumann boundary conditions emerge from the Born-Infeld dynamics. Here the excitations which are coming down the string with a polarization along a direction parallel to the brane are almost completely reflected just as in the case of all-normal Dirichlet excitations considered by Callan and Maldacena, but now the end of the string moves freely on the 3-brane realizing Polchinski's open string Neumann boundary condition dynamically. In the low energy limit ω → 0, i.e. for wavelengths much larger than the string scale only a small fraction ∼ ω 4 of the energy escapes in the form of dipole radiation. The physical interpretation is that a string attached to the 3-brane manifests itself as an electric charge, and waves on the string cause the end point of the string to freely oscillate and produce e.m. dipole radiation in the asymptotic outer region. The magnitude of emitted power is in fact exactly equal to the one given by Thomson formula in electrodynamics

  18. PIMS: Memristor-Based Processing-in-Memory-and-Storage.

    Energy Technology Data Exchange (ETDEWEB)

    Cook, Jeanine

    2018-02-01

    Continued progress in computing has augmented the quest for higher performance with a new quest for higher energy efficiency. This has led to the re-emergence of Processing-In-Memory (PIM) ar- chitectures that offer higher density and performance with some boost in energy efficiency. Past PIM work either integrated a standard CPU with a conventional DRAM to improve the CPU- memory link, or used a bit-level processor with Single Instruction Multiple Data (SIMD) control, but neither matched the energy consumption of the memory to the computation. We originally proposed to develop a new architecture derived from PIM that more effectively addressed energy efficiency for high performance scientific, data analytics, and neuromorphic applications. We also originally planned to implement a von Neumann architecture with arithmetic/logic units (ALUs) that matched the power consumption of an advanced storage array to maximize energy efficiency. Implementing this architecture in storage was our original idea, since by augmenting storage (in- stead of memory), the system could address both in-memory computation and applications that accessed larger data sets directly from storage, hence Processing-in-Memory-and-Storage (PIMS). However, as our research matured, we discovered several things that changed our original direc- tion, the most important being that a PIM that implements a standard von Neumann-type archi- tecture results in significant energy efficiency improvement, but only about a O(10) performance improvement. In addition to this, the emergence of new memory technologies moved us to propos- ing a non-von Neumann architecture, called Superstrider, implemented not in storage, but in a new DRAM technology called High Bandwidth Memory (HBM). HBM is a stacked DRAM tech- nology that includes a logic layer where an architecture such as Superstrider could potentially be implemented.

  19. Exact boundary controllability for a series of membranes elastically connected

    Directory of Open Access Journals (Sweden)

    Waldemar D. Bastos

    2017-01-01

    Full Text Available In this article we study the exact controllability with Neumann boundary controls for a system of linear wave equations coupled in parallel by lower order terms on piecewise smooth domains of the plane. We obtain square integrable controls for initial state with finite energy and time of controllability near the optimal value.

  20. Stability estimates for solution of IBVP to fractional parabolic differential and difference equations

    Science.gov (United States)

    Ashyralyev, Allaberen; Cakir, Zafer

    2016-08-01

    In this work, we investigate initial-boundary value problems for fractional parabolic equations with the Neumann boundary condition. Stability estimates for the solution of this problem are established. Difference schemes for approximate solution of initial-boundary value problem are constructed. Furthermore, we give theorem on coercive stability estimates for the solution of the difference schemes.

  1. Normal pure states of the von Nuemann algebra of bounded operators as Kaehler manifold

    International Nuclear Information System (INIS)

    Cirelli, R.; Lanzavecchia, P.; Mania, A.

    1983-01-01

    The projective space of a complex Hilbert space H is considered both as a Kaehler manifold and as the set of pure states of the von Neumann algebra B(H). A link is given between these two structures. Special attention is devoted to topology, orientation and automorphisms of the structures and Wigner's theorem. (author)

  2. Jordan (α,β-Derivations on Operator Algebras

    Directory of Open Access Journals (Sweden)

    Quanyuan Chen

    2017-01-01

    Full Text Available Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. It is shown that any Jordan (α,β-derivation on A is an (α,β-derivation, where α,β are any automorphisms on A. Moreover, the nth power (α,β-maps on A are investigated.

  3. Reduced multiplication modules

    Indian Academy of Sciences (India)

    if M is a von Neumann regular module (VNM); i.e., every principal submodule of M is a summand submodule. Also if M is an injective R-module, then M is a VNM. Keywords. Multiplication module; reduced module; minimal prime submodule;. Zariski topology; extremally disconnected. 1. Introduction. In this paper all rings are ...

  4. Pramana – Journal of Physics | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper the time evolution of von Neumann entropy, as a measure of entanglement between V-type three-level atoms and the union of a two-mode field, is studied. The atom–field interaction is assumed to occur in a Kerr-type medium with an intensity-dependent coupling. Introducing a Casmir operator whose ...

  5. Critical Pedagogy and Faith

    Science.gov (United States)

    Neumann, Jacob W.

    2011-01-01

    Critical pedagogy has often been linked in the literature to faith traditions such as liberation theology, usually with the intent of improving or redirecting it. While recognizing and drawing from those previous linkages, Jacob Neumann goes further in this essay and develops the thesis that critical pedagogy can not just benefit from a connection…

  6. New Boundary Constraints for Elliptic Systems used in Grid Generation Problems

    Science.gov (United States)

    Kaul, Upender K.; Clancy, Daniel (Technical Monitor)

    2002-01-01

    This paper discusses new boundary constraints for elliptic partial differential equations as used in grid generation problems in generalized curvilinear coordinate systems. These constraints, based on the principle of local conservation of thermal energy in the vicinity of the boundaries, are derived using the Green's Theorem. They uniquely determine the so called decay parameters in the source terms of these elliptic systems. These constraints' are designed for boundary clustered grids where large gradients in physical quantities need to be resolved adequately. It is observed that the present formulation also works satisfactorily for mild clustering. Therefore, a closure for the decay parameter specification for elliptic grid generation problems has been provided resulting in a fully automated elliptic grid generation technique. Thus, there is no need for a parametric study of these decay parameters since the new constraints fix them uniquely. It is also shown that for Neumann type boundary conditions, these boundary constraints uniquely determine the solution to the internal elliptic problem thus eliminating the non-uniqueness of the solution of an internal Neumann boundary value grid generation problem.

  7. Spectral results for mixed problems and fractional elliptic operators,

    DEFF Research Database (Denmark)

    Grubb, Gerd

    2015-01-01

    In the first part of the paper we show Weyl type spectral asymptotic formulas for pseudodifferential operators P a of order 2a, with type and factorization index a  ∈ R +, restricted to compact sets with boundary; this includes fractional powers of the Laplace operator. The domain...... and the regularity of eigenfunctions is described. In the second part, we apply this in a study of realizations A χ,Σ+ in L 2( Ω ) of mixed problems for a second-order strongly elliptic symmetric differential operator A on a bounded smooth set Ω ⊂ R n; here the boundary ∂Ω=Σ is partioned smoothly into Σ......=Σ_∪Σ+, the Dirichlet condition γ0u=0 is imposed on Σ_, and a Neumann or Robin condition χu=0 is imposed on Σ+. It is shown that the Dirichlet-to-Neumann operator Pγ,χ is principally of type 1/2 with factorization index 1/2, relative to Σ+. The above theory allows a detailed description of D (Aχ,Σ_+) with singular...

  8. Spatial patterns and scale freedom in Prisoner's Dilemma cellular automata with Pavlovian strategies

    Science.gov (United States)

    Fort, H.; Viola, S.

    2005-01-01

    A cellular automaton in which cells represent agents playing the Prisoner's Dilemma (PD) game following the simple 'win—stay, lose—shift' strategy is studied. Individuals with binary behaviour, such that they can either cooperate (C) or defect (D), play repeatedly with their neighbours (Von Neumann's and Moore's neighbourhoods). Their utilities in each round of the game are given by a rescaled pay-off matrix described by a single parameter τ, which measures the ratio of temptation to defect to reward for cooperation. Depending on the region of the parameter space τ, the system self-organizes—after a transient—into dynamical equilibrium states characterized by different definite fractions of C agents \\bar {c}_\\infty (two states for the von Neumann neighbourhood and four for the Moore neighbourhood). For some ranges of τ the cluster size distributions, the power spectra P(f) and the perimeter-area curves follow power law scalings. Percolation below threshold is also found for D agent clusters. We also analyse the asynchronous dynamics version of this model and compare results.

  9. QmeQ 1.0: An open-source Python package for calculations of transport through quantum dot devices

    Science.gov (United States)

    Kiršanskas, Gediminas; Pedersen, Jonas Nyvold; Karlström, Olov; Leijnse, Martin; Wacker, Andreas

    2017-12-01

    QmeQ is an open-source Python package for numerical modeling of transport through quantum dot devices with strong electron-electron interactions using various approximate master equation approaches. The package provides a framework for calculating stationary particle or energy currents driven by differences in chemical potentials or temperatures between the leads which are tunnel coupled to the quantum dots. The electronic structures of the quantum dots are described by their single-particle states and the Coulomb matrix elements between the states. When transport is treated perturbatively to lowest order in the tunneling couplings, the possible approaches are Pauli (classical), first-order Redfield, and first-order von Neumann master equations, and a particular form of the Lindblad equation. When all processes involving two-particle excitations in the leads are of interest, the second-order von Neumann approach can be applied. All these approaches are implemented in QmeQ. We here give an overview of the basic structure of the package, give examples of transport calculations, and outline the range of applicability of the different approximate approaches.

  10. Analytical prediction of the unsteady lift on a rotor caused by downstream struts

    Science.gov (United States)

    Taylor, A. C., III; Ng, W. F.

    1987-01-01

    A two-dimensional, inviscid, incompressible procedure is presented for predicting the unsteady lift on turbomachinery blades caused by the upstream potential disturbance of downstream flow obstructions. Using the Douglas-Neumann singularity superposition potential flow computer program to model the downstream flow obstructions, classical equations of thin airfoil theory are then employed, to compute the unsteady lift on the upstream rotor blades. The method is applied to a particular geometry which consists of a rotor, a downstream stator, and downstream struts which support the engine casing. Very good agreement between the Douglas-Neumann program and experimental measurements was obtained for the downstream stator-strut flow field. The calculations for the unsteady lift due to the struts were in good agreement with the experiments in showing that the unsteady lift due to the struts decays exponentially with increased axial separation of the rotor and the struts. An application of the method showed that for a given axial spacing between the rotor and the strut, strut-induced unsteady lift is a very weak function of the axial or circumferential position of the stator.

  11. Newton law on the generalized singular brane with and without 4d induced gravity

    International Nuclear Information System (INIS)

    Jung, Eylee; Kim, Sung-Hoon; Park, D.K.

    2003-01-01

    Newton law arising due to the gravity localized on the general singular brane embedded in AdS 5 bulk is examined in the absence or presence of the 4d induced Einstein term. For the RS brane, apart from the subleading correction, Newton potential obeys 4d- and 5d-type gravitational law at long- and short-ranges if it were not for the induced Einstein term. The 4d induced Einstein term generates an intermediate range at short distance, in which the 5d Newton potential 1/r 2 emerges. For Neumann brane the long-range behavior of Newton potential is exponentially suppressed regardless of the existence of the induced Einstein term. For Dirichlet brane the expression of Newton potential is dependent on the renormalized coupling constant v ren . At particular value of v ren Newton potential on Dirichlet brane exhibits a similar behavior to that on RS brane. For other values the long-range behavior of Newton potential is exponentially suppressed as that in Neumann brane

  12. Conformal covariance, modular structure, and duality for local algebras in free massless quantum field theories

    International Nuclear Information System (INIS)

    Hislop, P.D.

    1988-01-01

    The Tomita modular operators and the duality property for the local von Neumann algebras in quantum field models describing free massless particles with arbitrary helicity are studied. It is proved that the representation of the Poincare group in each model extends to a unitary representation of SU(2, 2), a covering group of the conformal group. An irreducible set of ''standard'' linear fields is shown to be covariant with respect to this representation. The von Neumann algebras associated with wedge, double-cone, and lightcone regions generated by these fields are proved to be unitarily equivalent. The modular operators for these algebras are obtained in explicit form using the conformal covariance and the results of Bisognano and Wichmann on the modular structure of the wedge algebras. The modular automorphism groups are implemented by one-parameter groups of conformal transformations. The modular conjugation operators are used to prove the duality property for the double-cone algebras and the timelike duality property for the lightcone algebras. copyright 1988 Academic Press, Inc

  13. Fundamental physics issues of multilevel logic in developing a parallel processor.

    Science.gov (United States)

    Bandyopadhyay, Anirban; Miki, Kazushi

    2007-06-01

    In the last century, On and Off physical switches, were equated with two decisions 0 and 1 to express every information in terms of binary digits and physically realize it in terms of switches connected in a circuit. Apart from memory-density increase significantly, more possible choices in particular space enables pattern-logic a reality, and manipulation of pattern would allow controlling logic, generating a new kind of processor. Neumann's computer is based on sequential logic, processing bits one by one. But as pattern-logic is generated on a surface, viewing whole pattern at a time is a truly parallel processing. Following Neumann's and Shannons fundamental thermodynamical approaches we have built compatible model based on series of single molecule based multibit logic systems of 4-12 bits in an UHV-STM. On their monolayer multilevel communication and pattern formation is experimentally verified. Furthermore, the developed intelligent monolayer is trained by Artificial Neural Network. Therefore fundamental weak interactions for the building of truly parallel processor are explored here physically and theoretically.

  14. Determination of many-electron basis functions for a quantum Hall ground state using Schur polynomials

    Science.gov (United States)

    Mandal, Sudhansu S.; Mukherjee, Sutirtha; Ray, Koushik

    2018-03-01

    A method for determining the ground state of a planar interacting many-electron system in a magnetic field perpendicular to the plane is described. The ground state wave-function is expressed as a linear combination of a set of basis functions. Given only the flux and the number of electrons describing an incompressible state, we use the combinatorics of partitioning the flux among the electrons to derive the basis wave-functions as linear combinations of Schur polynomials. The procedure ensures that the basis wave-functions form representations of the angular momentum algebra. We exemplify the method by deriving the basis functions for the 5/2 quantum Hall state with a few particles. We find that one of the basis functions is precisely the Moore-Read Pfaffian wave function.

  15. On generalized Friedrichs and Krein-von Neumann extensions and canonical systems

    NARCIS (Netherlands)

    Winkler, H

    2002-01-01

    Let S be a densely defined and closed symmetric relation in a Hilbert space H with defect numbers (1, 1), and let A be some of its canonical selfadjoint extensions. According to Krein's formula, to S and A corresponds a so-called Q-function from the Nevanlinna class N. In this note we show to which

  16. Validity and failure of some entropy inequalities for CAR systems

    International Nuclear Information System (INIS)

    Moriya, Hajime

    2005-01-01

    Basic properties of von Neumann entropy such as the triangle inequality and what we call MONO-SSA are studied for CAR systems. We show that both inequalities hold for every even state by using symmetric purification which is applicable to such a state. We construct a certain class of noneven states giving examples of the nonvalidity of those inequalities

  17. Emotional Management and Motivation: A Case Study of Underrepresented Faculty

    Science.gov (United States)

    Lechuga, Vicente M.

    2012-01-01

    The influence of emotions in the workplace rarely has been examined within the context of higher education (Neumann, 2006; Smith and Witt, 1993). Through a qualitative approach, the purpose of this chapter is to offer a perspective of faculty work that examines the role that emotions play in the academic life of 15 underrepresented faculty members…

  18. Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n

    Czech Academy of Sciences Publication Activity Database

    Engliš, Miroslav; Guo, K.; Zhang, G.

    2009-01-01

    Roč. 137, č. 11 (2009), s. 3669-3678 ISSN 0002-9939 R&D Projects: GA ČR(CZ) GA201/06/0128 Institutional research plan: CEZ:AV0Z10190503 Keywords : Schatten-von Neumann classes * Macaev classes * trace * Dixmier trace * Toeplitz operators * Hankel operators Subject RIV: BA - General Mathematics Impact factor: 0.640, year: 2009

  19. Entropy-driven phase transitions of entanglement

    Science.gov (United States)

    Facchi, Paolo; Florio, Giuseppe; Parisi, Giorgio; Pascazio, Saverio; Yuasa, Kazuya

    2013-05-01

    We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is, the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.

  20. Modern Portfolio Theory: Some Main Results

    OpenAIRE

    Müller, Heinz H.

    2017-01-01

    This article summarizes some main results in modern portfolio theory. First, the Markowitz approach is presented. Then the capital asset pricing model is derived and its empirical testability is discussed. Afterwards Neumann-Morgenstern utility theory is applied to the portfolio problem. Finally, it is shown how optimal risk allocation in an economy may lead to portfolio insurance

  1. Three-Dimensional Nanobiocomputing Architectures With Neuronal Hypercells

    Science.gov (United States)

    2007-06-01

    Neumann architectures, and CMOS fabrication. Novel solutions of massive parallel distributed computing and processing (pipelined due to systolic... and processing platforms utilizing molecular hardware within an enabling organization and architecture. The design technology is based on utilizing a...Microsystems and Nanotechnologies investigated a novel 3D3 (Hardware Software Nanotechnology) technology to design super-high performance computing

  2. On the Solution of Elliptic Partial Differential Equations on Regions with Corners

    Science.gov (United States)

    2015-07-09

    227 (2008): 8820–8840. [13] Jerison, David S., and Carlos E. Kenig. “The Neumann Problem on Lipschitz Do- mains.” B. Am. Math. Soc. 4.2 (1981): 203–207...J. Numer. Anal. 33.3 (1996): 971–996. [17] Markushevich, A. I. Complex analysis. 2nd ed. Trans. Richard A. Silverman . New York: Chelsea Publishing

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we study the noncommutative Orlicz space L φ ( M ~ , τ ) ,which generalizes the concept of noncommutative L p space, where M is a von Neumann algebra, and φ is an Orlicz function. As a modular space, the space L φ ( M ~ , τ ) possesses the Fatou property, and consequently, it is a Banach space. In addition ...

  4. Author Details

    African Journals Online (AJOL)

    Ogban, F U. Vol 6, No 2 (2007) - Articles Von neumann architecture and modern computers. Abstract PDF. ISSN: 1596-6208. AJOL African Journals Online. HOW TO USE AJOL... for Researchers · for Librarians · for Authors · FAQ's · More about AJOL · AJOL's Partners · Terms and Conditions of Use · Contact AJOL · News.

  5. Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n

    Czech Academy of Sciences Publication Activity Database

    Engliš, Miroslav; Guo, K.; Zhang, G.

    2009-01-01

    Roč. 137, č. 11 (2009), s. 3669-3678 ISSN 0002-9939 R&D Projects: GA ČR(CZ) GA201/06/0128 Institutional research plan: CEZ:AV0Z10190503 Keywords : Schatten- von Neumann classes * Macaev classes * trace * Dixmier trace * Toeplitz operators * Hankel operators Subject RIV: BA - General Mathematics Impact factor: 0.640, year: 2009

  6. Quasi boundary triples and semi-bounded self-adjoint extensions

    Czech Academy of Sciences Publication Activity Database

    Behrndt, J.; Langer, M.; Lotoreichik, Vladimir; Rohleder, J.

    2017-01-01

    Roč. 147, č. 5 (2017), s. 895-916 ISSN 0308-2105 R&D Projects: GA ČR(CZ) GA14-06818S Institutional support: RVO:61389005 Keywords : semi-bounded operator * boundary triple * Weyl function * eliptic differential operator * Dirichlet-Neumann map Subject RIV: BE - Theoretical Physics OBOR OECD: Applied mathematics Impact factor: 1.158, year: 2016

  7. Casimir energy in d-dimensional rectangular geometries, under mixed boundary conditions

    International Nuclear Information System (INIS)

    Silva, J.C. da; Placido, Hebe Q.; Santana, A.E.; M Neto, Arthur

    1997-01-01

    The Casimir energy and its temperature corrections are presented for the electromagnetic field confined in a d-dimensional hypercavity. The expressions are derived considering Dirichlet boundary conditions for each pair of hyperplanes defining a confined direction (the homogeneous case); or yet, by choosing different boundary conditions (Dirichlet or Neumann) at each hyperplane of the pair (the mixed case). (author)

  8. Vorticity and helicity decompositions and dynamics with real Schur form of the velocity gradient

    Science.gov (United States)

    Zhu, Jian-Zhou

    2018-03-01

    The real Schur form (RSF) of a generic velocity gradient field ∇u is exploited to expose the structures of flows, in particular, our field decomposition resulting in two vorticities with only mutual linkage as the topological content of the global helicity (accordingly decomposed into two equal parts). The local transformation to the RSF may indicate alternative (co)rotating frame(s) for specifying the objective argument(s) of the constitutive equation. When ∇u is uniformly of RSF in a fixed Cartesian coordinate frame, i.e., ux = ux(x, y) and uy = uy(x, y), but uz = uz(x, y, z), the model, with the decomposed vorticities both frozen-in to u, is for two-component-two-dimensional-coupled-with-one-component-three-dimensional flows in between two-dimensional-three-component (2D3C) and fully three-dimensional-three-component ones and may help curing the pathology in the helical 2D3C absolute equilibrium, making the latter effectively work in more realistic situations.

  9. Schwarzschild, Martin (1912-97)

    Science.gov (United States)

    Murdin, P.

    2000-11-01

    Astrophysicist, born in Potsdam, Germany, the son of KARL SCHWARZSCHILD, left Germany, became professor at Princeton University. Working with John von Neumann, Schwarzschild used the powers of the newly developed electronic digital computers to work on the theory of stellar structure and evolution. He uncovered phenomena in red giant stars, including how they evolve off the main sequence in the H...

  10. Quantum Teleportation of Tripartite Arbitrary State via W State

    Institute of Scientific and Technical Information of China (English)

    XUE Zheng-Yuan; YI You-Min; CAO Zhuo-Liang

    2005-01-01

    A scheme of teleportation of a tripartite state via W state is suggested. The W state serves as quantum channels. Standard Bell-state measurements and Von Neumann measurements are performed. After the sender operates the measurements and informs the receiver her results, he can reconstruct the original state by the corresponding unitary transformation. The probability of the successful teleportation is also obtained.

  11. A generalization of the Friedrichs angle and the method of alternating projections

    Czech Academy of Sciences Publication Activity Database

    Badea, C.; Grivaux, S.; Müller, Vladimír

    2010-01-01

    Roč. 348, 1-2 (2010), s. 53-56 ISSN 1631-073X R&D Projects: GA ČR(CZ) GA201/06/0128 Institutional research plan: CEZ:AV0Z10190503 Keywords : Hilbert space * Neumann -Halperin method Subject RIV: BA - General Mathematics Impact factor: 0.399, year: 2010 http://www.sciencedirect.com/science/article/pii/S1631073X09004002

  12. An Optimal Lower Eigenvalue System

    Directory of Open Access Journals (Sweden)

    Yingfan Liu

    2011-01-01

    Full Text Available An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von-Neumann-type input-output inequalities, growth, and optimal growth factors, as well as Leontief-type balanced and optimal balanced growth paths, are also gotten.

  13. Numerical Solutions for Convection-Diffusion Equation through Non-Polynomial Spline

    Directory of Open Access Journals (Sweden)

    Ravi Kanth A.S.V.

    2016-01-01

    Full Text Available In this paper, numerical solutions for convection-diffusion equation via non-polynomial splines are studied. We purpose an implicit method based on non-polynomial spline functions for solving the convection-diffusion equation. The method is proven to be unconditionally stable by using Von Neumann technique. Numerical results are illustrated to demonstrate the efficiency and stability of the purposed method.

  14. An Introduction to Decision Making When Uncertainty Is Not Just Risk

    DEFF Research Database (Denmark)

    Hendon, Ebbe; Jacobsen, Hans Jørgen; Sloth, Birgitte

    1992-01-01

    An uncertain and not just risky situation may be modeled using so-called belief functions assigning lower probabilities to events, that is, to sets of possible outcomes. In this paper we give an introduction to this concept and a first contribution to modeling decision making when...... there is uncertainty. We extend the von Neumann- Morgenstern expected utility theory to belief functions....

  15. On the center of distances

    Czech Academy of Sciences Publication Activity Database

    Bielas, Wojciech; Plewik, S.; Walczyńska, Marta

    2018-01-01

    Roč. 4, č. 2 (2018), s. 687-698 ISSN 2199-675X R&D Projects: GA ČR GF16-34860L Institutional support: RVO:67985840 Keywords : Cantorval center of distances von Neumann's theorem * set of subsums Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics https://link.springer.com/article/10.1007%2Fs40879-017-0199-4

  16. The Fundamental Blossoming Inequality in Chebyshev Spaces—I: Applications to Schur Functions

    KAUST Repository

    Ait-Haddou, Rachid

    2016-10-19

    A classical theorem by Chebyshev says how to obtain the minimum and maximum values of a symmetric multiaffine function of n variables with a prescribed sum. We show that, given two functions in an Extended Chebyshev space good for design, a similar result can be stated for the minimum and maximum values of the blossom of the first function with a prescribed value for the blossom of the second one. We give a simple geometric condition on the control polygon of the planar parametric curve defined by the pair of functions ensuring the uniqueness of the solution to the corresponding optimization problem. This provides us with a fundamental blossoming inequality associated with each Extended Chebyshev space good for design. This inequality proves to be a very powerful tool to derive many classical or new interesting inequalities. For instance, applied to Müntz spaces and to rational Müntz spaces, it provides us with new inequalities involving Schur functions which generalize the classical MacLaurin’s and Newton’s inequalities. This work definitely demonstrates that, via blossoms, CAGD techniques can have important implications in other mathematical domains, e.g., combinatorics.

  17. Modular structure of local algebras associated with massless free quantum fields

    International Nuclear Information System (INIS)

    Hislop, P.D.

    1984-01-01

    The Tomita modular operators and the duality property for the local von Neumann algebras in quantum field models describing free massless particles with arbitrary helicity are studied. It is proved that the representation of the Poincare group in each model extends to a unitary representation SU(2,2), a covering group of the conformal group. An irreducible set of standard linear fields is shown to be covariant with respect to this representation. The von Neumann algebras associated with wedge, double-cone, and lightcone regions generated by these fields are proved to be unitarily equivalent. Using the results of Bisognano and Wichmann, the modular operators for these algebras are obtained in explicit form as conformal transformations and the duality property is proved. In the bose case, it is shown that the double-cone algebras constructed from any irreducible set of linear fields not including the standard fields do not satisfy duality and that any non-standard linear fields are not conformally covariant. A simple proof of duality, independent of the Tomita-Takesaki theory, for the double-cone algebras in the scalar case is also presented

  18. Structure and coarsening at the surface of a dry three-dimensional aqueous foam.

    Science.gov (United States)

    Roth, A E; Chen, B G; Durian, D J

    2013-12-01

    We utilize total-internal reflection to isolate the two-dimensional surface foam formed at the planar boundary of a three-dimensional sample. The resulting images of surface Plateau borders are consistent with Plateau's laws for a truly two-dimensional foam. Samples are allowed to coarsen into a self-similar scaling state where statistical distributions appear independent of time, except for an overall scale factor. There we find that statistical measures of side number distributions, size-topology correlations, and bubble shapes are all very similar to those for two-dimensional foams. However, the size number distribution is slightly broader, and the shapes are slightly more elongated. A more obvious difference is that T2 processes now include the creation of surface bubbles, due to rearrangement in the bulk, and von Neumann's law is dramatically violated for individual bubbles. But nevertheless, our most striking finding is that von Neumann's law appears to holds on average, namely, the average rate of area change for surface bubbles appears to be proportional to the number of sides minus six, but with individual bubbles showing a wide distribution of deviations from this average behavior.

  19. Neuromorphic Computing, Architectures, Models, and Applications. A Beyond-CMOS Approach to Future Computing, June 29-July 1, 2016, Oak Ridge, TN

    Energy Technology Data Exchange (ETDEWEB)

    Potok, Thomas [Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Schuman, Catherine [Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Patton, Robert [Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Hylton, Todd [Brain Corporation, San Diego, CA (United States); Li, Hai [Univ. of Pittsburgh, PA (United States); Pino, Robinson [US Dept. of Energy, Washington, DC (United States)

    2016-12-31

    The White House and Department of Energy have been instrumental in driving the development of a neuromorphic computing program to help the United States continue its lead in basic research into (1) Beyond Exascale—high performance computing beyond Moore’s Law and von Neumann architectures, (2) Scientific Discovery—new paradigms for understanding increasingly large and complex scientific data, and (3) Emerging Architectures—assessing the potential of neuromorphic and quantum architectures. Neuromorphic computing spans a broad range of scientific disciplines from materials science to devices, to computer science, to neuroscience, all of which are required to solve the neuromorphic computing grand challenge. In our workshop we focus on the computer science aspects, specifically from a neuromorphic device through an application. Neuromorphic devices present a very different paradigm to the computer science community from traditional von Neumann architectures, which raises six major questions about building a neuromorphic application from the device level. We used these fundamental questions to organize the workshop program and to direct the workshop panels and discussions. From the white papers, presentations, panels, and discussions, there emerged several recommendations on how to proceed.

  20. Wedges I

    International Nuclear Information System (INIS)

    DeWitt-Morette, C.; Low, S.G.; Schulman, L.S.; Shiekh, A.Y.

    1986-01-01

    The wedge problem, that is, the propagation of radiation or particles in the presence of a wedge, is examined in different contexts. Generally, the paper follows the historical order from Sommerfeld's early work to recent stochastic results - hindsights and new results being woven in as appropriate. In each context, identifying the relevant mathematical problem has been the key to the solution. Thus each section can be given both a physics and a mathematics title: Section 2: diffraction by reflecting wedge; boundary value problem of differential equations; solutions defined on multiply connected spaces. Section 3: geometrical theory of diffraction; identification of function spaces. Section 4: path integral solutions; path integration on multiply connected spaces; asymptotics on the boundaries of function spaces. Section 5: probing the shape of the wedge and the roughness of its surface; stochastic calculus. Several propagators and Green functions are given explicitly, some old ones and some new ones. They include the knife-edge propagator for Dirichlet and Neumann boundary conditions, the absorbing knife edge propagator, the wedge propagators, the propagator for a free particle on a /sigma phi/-sheeted Riemann surface, the Dirichlet and the Neumann wedge Green function

  1. Efficient preconditioning of hphp-FEM matrix sequences with slowly-varying coefficients

    DEFF Research Database (Denmark)

    Gatto, P.; Hesthaven, J. S.; Christiansen, Rasmus Ellebæk

    2017-01-01

    We previously introduced a preconditioner that has proven effective for hphp-FEM discretizations of various challenging elliptic and hyperbolic problems. The construction is inspired by standard nested dissection, and relies on the assumption that the Schur complements can be approximated, to hig...

  2. Supply Chain Information in Environmental Management Accounting – the case of a Vietnamese Coffee Exporter

    Directory of Open Access Journals (Sweden)

    Tobias Viere

    2007-12-01

    Full Text Available This case study discusses Environmental Management Accounting (EMA which are illustrated with the case example of Neumann Gruppe Vietnam Ltd., a medium-sized coffee refining and exporting enterprise in Southern Vietnam. It examines the relevance of environment-related supply chain information for corporate environmental and financial decision making and reveals possibilities for improving eco-efficiency at the site level and for its supply chain.

  3. Proof of Polyakov conjecture on supercomplex plane

    International Nuclear Information System (INIS)

    Kachkachi, M.; Kouadik, S.

    1994-10-01

    Using Neumann series, we solve iteratively SBE to arbitrary order. Then applying this, we compute the energy momentum tensor and n points functions for generic n starting from WZP action on the supercomplex plane. We solve the superconformal Ward identity and we show that the iterative solution to arbitrary order is resumed by WZP action. This proves the Polyakov conjecture on supercomplex plane. (author). 8 refs

  4. On the Bose-Einstein condensation of an ideal gas

    International Nuclear Information System (INIS)

    Landau, L.J.; Wilde, I.F.

    1979-01-01

    A mathematically precise treatment is given of the well-known Bose-Einstein condensation of an ideal gas in the grand canonical ensemble at fixed density. The method works equally well for any of the standard boundary conditions and it is shown that the finite volume activity converges and that in three dimensions condensation occurs for Dirichlet, Neumann, periodic, and repulsive walls. (orig.) 891 HJ/orig. 892 CKA

  5. Medical Management of the Acute Radiation Syndrome: Recommendations of the Strategic National Stockpile Radiation Working Group

    Science.gov (United States)

    2004-06-15

    STATEMENT Approved for public release; distribution unlimited 13. SUPPLEMENTARY NOTES 14. ABSTRACT 15. SUBJECT TERMS 16. SECURITY ...Assistance Medicine http://usuhs.mil U.S. Army www.nbc-med.org U.S. Department of Homeland Security Working Group on Radiological Dispersal Device...22. 97. Abbott B, Ippoliti C, Bruton J, Neumann J, Whaley R, Champlin R. Antiemetic efficacy of granisetron plus dexamethasone in bone marrow

  6. Medical Managment of the Acute Radiation Syndrome: Recommendations of the Strategic National Stockpile Radiation Working Group

    Science.gov (United States)

    2004-06-15

    AVAILABILITY STATEMENT Approved for public release; distribution unlimited 13. SUPPLEMENTARY NOTES 14. ABSTRACT 15. SUBJECT TERMS 16. SECURITY ...Humanitarian Assistance Medicine http://usuhs.mil U.S. Army www.nbc-med.org U.S. Department of Homeland Security Working Group on Radiological Dispersal...2002:11-22. 97. Abbott B, Ippoliti C, Bruton J, Neumann J, Whaley R, Champlin R. Antiemetic efficacy of granisetron plus dexamethasone in bone marrow

  7. Metrics for Uncertainty in Organizational Decision-Making

    Science.gov (United States)

    2006-06-01

    measurement and computational agents. Computational Economics : A Perspective from Computational Intelligence book. S.- H. Chen, Jain, Lakhmi, & Tai...change and development." Annual Review of Psychology 50: 361-386. Von Neumann, J., and Morgenstern, O. (1953). Theory of games and economic ...2006 Interviews versus Field data MI MPU Hanford/HAB (CR: cooperation) Savannah River Site/SAB (MR: competition) ER ER about 7.1% in 2002 ER

  8. Radial multipliers on reduced free products of operator algebras

    DEFF Research Database (Denmark)

    Haagerup, Uffe; Møller, Søren

    2012-01-01

    Let AiAi be a family of unital C¿C¿-algebras, respectively, of von Neumann algebras and ¿:N0¿C¿:N0¿C. We show that if a Hankel matrix related to ¿ is trace-class, then there exists a unique completely bounded map M¿M¿ on the reduced free product of the AiAi, which acts as a radial multiplier...

  9. Numerical evaluation of the intensity transport equation for well-known wavefronts and intensity distributions

    Science.gov (United States)

    Campos-García, Manuel; Granados-Agustín, Fermín.; Cornejo-Rodríguez, Alejandro; Estrada-Molina, Amilcar; Avendaño-Alejo, Maximino; Moreno-Oliva, Víctor Iván.

    2013-11-01

    In order to obtain a clearer interpretation of the Intensity Transport Equation (ITE), in this work, we propose an algorithm to solve it for some particular wavefronts and its corresponding intensity distributions. By simulating intensity distributions in some planes, the ITE is turns into a Poisson equation with Neumann boundary conditions. The Poisson equation is solved by means of the iterative algorithm SOR (Simultaneous Over-Relaxation).

  10. Analysis of the essential spectrum of singular matrix differential operators

    Czech Academy of Sciences Publication Activity Database

    Ibrogimov, O. O.; Siegl, Petr; Tretter, C.

    2016-01-01

    Roč. 260, č. 4 (2016), s. 3881-3926 ISSN 0022-0396 Institutional support: RVO:61389005 Key words : essential spectrum * system of singular differential equations * operator matrix * Schur complement * magnetohydrodynamics * Stellar equilibrium model Subject RIV: BE - Theoretical Physics Impact factor: 1.988, year: 2016

  11. The kinematical AdS{sub 5}×S{sup 5} Neumann coefficient

    Energy Technology Data Exchange (ETDEWEB)

    Bajnok, Zoltan [MTA Lendület Holographic QFT Group, Wigner Research Centre,P.O.B. 49, Budapest 114, H-1525 (Hungary); Janik, Romuald A. [Institute of Physics, Jagiellonian University,ul. Łojasiewicza 11, Kraków, 30-348 (Poland)

    2016-02-22

    For the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string. In this paper we construct an exact solution of the kinematical axioms for AdS{sub 5}×S{sup 5} which includes all order wrapping corrections w.r.t. the size of the third string. This solution is expressed in terms of elliptic Gamma functions and ordinary elliptic functions. The solution is valid at any coupling and we analyze its weak coupling, pp-wave and large L limit.

  12. On liberating programs from the von neumann architecture via event-based modularization

    NARCIS (Netherlands)

    Malakuti Khah Olun Abadi, Somayeh; Aksit, Mehmet

    2015-01-01

    From the early days of computers, researchers have been trying to invent effective and efficient means for expressing software systems through the introduction of new programming languages. In the early days, due to the limitations of the technology, the abstractions of the programming languages

  13. On the spectrum of narrow Neumann waveguide with periodically distributed delta ' traps

    Czech Academy of Sciences Publication Activity Database

    Exner, Pavel; Khrabustovskyi, A.

    2015-01-01

    Roč. 48, č. 31 (2015), s. 315301 ISSN 1751-8113 R&D Projects: GA ČR(CZ) GA14-06818S Institutional support: RVO:61389005 Keywords : periodic waveguides * Schrodinger operators * delta ' interaction * spectrum * gaps * asymptotic analysis Subject RIV: BE - Theoretical Physics Impact factor: 1.933, year: 2015

  14. Weak Distributivity. A Problem of von Neumann and the Mystery of Measurability

    Czech Academy of Sciences Publication Activity Database

    Balcar, Bohuslav; Jech, Thomas

    2006-01-01

    Roč. 12, č. 2 (2006), s. 241-266 ISSN 1079-8986 R&D Projects: GA AV ČR(CZ) IAA100190509 Institutional research plan: CEZ:AV0Z10190503 Keywords : Boolean algebra * weak distributivity * submeasure Subject RIV: BA - General Mathematics Impact factor: 0.525, year: 2006

  15. Existence of solutions to supercritical Neumann problems via a new variational principle

    Directory of Open Access Journals (Sweden)

    Craig Cowan

    2017-09-01

    -\\int_{B_1} \\frac{ a(|x| |u|^p}{p} \\,dx. $$ The novelty of using I instead of E is the hidden symmetry in I generated by $ \\frac{1}{p} \\int_{B_1} a(|x| |u|^p\\,dx $ and its Fenchel dual. Additionally we are able to prove the existence of a positive nonconstant solution, in the case a(|x|=1, relatively easy and without needing to cut off the supercritical nonlinearity. Finally, we use this new approach to prove existence results for gradient systems with supercritical nonlinearities.

  16. Desenvolvimento vegetativo de Mentha campestris Schur e produção de mentol em diferentes espaçamentos de plantio e épocas de colheita Vegetative development of Mentha campestris Schur and menthol production in different row spaces and harvest times

    Directory of Open Access Journals (Sweden)

    R. Monteiro

    2011-01-01

    Full Text Available A produção de óleos essenciais nas plantas aromáticas é influenciada por fatores bióticos e abióticos. A demanda por esses produtos tem aumentado, sendo os óleos essenciais do gênero Mentha de grande interesse nas indústrias farmacêutica, de cosméticos, alimentícia e agrícola, principalmente em função do composto mentol. Esse trabalho teve como objetivo avaliar o efeito de três espaçamentos de plantio (0,60 x 0,15 m; 0,60 x 0,30 m e 0,60 x 0,45 m e duas épocas de colheita (60 e 90 dias após o plantio na espécie Mentha campestris Schur. O experimento foi conduzido no Centro de Estações Experimentais do Canguiri-UFPR, em Pinhais-PR, no período de janeiro a abril de 2008. O delineamento utilizado foi o de blocos ao acaso em esquema de parcelas subdivididas. Houve diferença significativa para todas as variáveis analisadas. As massas secas de folhas, ramos e total foram maiores que na primeira época. Para a biomassa seca de folhas foram observados maiores valores no menor espaçamento de plantio. O rendimento de óleo essencial foi maior na segunda época de colheita e nos espaçamentos maiores. A produtividade do óleo também foi maior na segunda época de colheita, porém no espaçamento mais adensado. Pode-se concluir como recomendação para M. campestris Schur o espaçamento 0,60 x 0,15 m e colheita aos 90 dias, por terem atingido maior biomassa, rendimento de óleo essencial e produtividade de mentol por hectare.Essential oil production in aromatic plants is influenced by biotic and abiotic factors. The demand for these products has increased, and essential oils from the genus Mentha have been of great interest for pharmaceutical, cosmetic, food and agronomic industries, especially because of the compound menthol. This study aimed to evaluate the effect of three row spaces (0.60 x 0.15 m; 0.60 x 0.30 m and 0.60 x 0.45 m and two harvest times (60 and 90 days after planting on the species Mentha campestris Schur. The

  17. Memristor-Based Synapse Design and Training Scheme for Neuromorphic Computing Architecture

    Science.gov (United States)

    2012-06-01

    system level built upon the conventional Von Neumann computer architecture [2][3]. Developing the neuromorphic architecture at chip level by...SCHEME FOR NEUROMORPHIC COMPUTING ARCHITECTURE 5a. CONTRACT NUMBER FA8750-11-2-0046 5b. GRANT NUMBER N/A 5c. PROGRAM ELEMENT NUMBER 62788F 6...creation of memristor-based neuromorphic computing architecture. Rather than the existing crossbar-based neuron network designs, we focus on memristor

  18. Boundary fluxes for nonlocal diffusion

    Science.gov (United States)

    Cortazar, Carmen; Elgueta, Manuel; Rossi, Julio D.; Wolanski, Noemi

    We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition.

  19. Boundary fluxes for non-local diffusion

    OpenAIRE

    Cortazar, C.; Elgueta, M.; Rossi, J. D.; Wolanski, N.

    2006-01-01

    We study a nonlocal diffusion operator in a bounded smooth domain prescribing the flux through the boundary. This problem may be seen as a generalization of the usual Neumann problem for the heat equation. First, we prove existence, uniqueness and a comparison principle. Next, we study the behavior of solutions for some prescribed boundary data including blowing up ones. Finally, we look at a nonlinear flux boundary condition.

  20. Covariant representations of massless Fermi fields

    International Nuclear Information System (INIS)

    Borek, R.

    1983-01-01

    The author shows in the framework of algebraic quantum field theory that representations of the quasi-local algebra of a free, massless spinor field exist which fulfil two axioms of von Neumann. Furthermore, the current algebra of a charged, massless fermion is considered. Finally, representations with the spectral condition of a charged, massless fermion and the quasi-local algebra of a free, massless Majorana particle are constructed. (HSI) [de

  1. Jauch-Piron States and σ-Additivity

    Science.gov (United States)

    Bunce, L. J.; Hamhalter, Jan

    We study σ-additivity of the physically plausible Jauch-Piron states on a von Neumann algebra M. Amongst other consequences we extend our earlier results [5] by showing that geometric conditions much weaker than pureness imply σ-additivity for a Jauch-Piron state and, further, that if M is properly infinite and the continuum hypothesis is assumed to be true then all Jauch-Piron factor states are σ-additive.

  2. The Electromagnetic Field of Elementary Time-Dependent Toroidal Sources

    International Nuclear Information System (INIS)

    Afanas'ev, G.N.; Stepanovskij, Yu.P.

    1994-01-01

    The radiation field of toroidal-like time-dependent current configurations is investigated. Time-dependent charge-current sources are found outside which the electromagnetic strengths disappear but the potentials survive. This can be used to carry out time-dependent Aharonov-Bohm-like experiments and the information transfer. Using the Neumann-Helmholtz parametrization of the current density we present the time-dependent electromagnetic field in a form convenient for applications. 17 refs

  3. On the problem of measurement in quantum mechanics

    International Nuclear Information System (INIS)

    He Zuoxiu

    1993-01-01

    Some new developments in the theory of measurement in quantum mechanics are presented. The theory of measurement given by Von Neumann is shown to be incorrect, since the process of measurement is one of increasing entropy and cannot be derived within the scope of Schroedinger's equation. The new theory developed by Daneri, Loinger and Prosperi can avoid the difficulties previously encountered and, furthermore, can explain the EPR paradox

  4. Introduction to communications technologies a guide for non-engineers

    CERN Document Server

    Jones, Stephan; Groom, Frank M

    2008-01-01

    Systems and Models of Communications Technologies:Shannon-Weaver, von Neumann, and the OSI ModelBasic Concepts of Electricity Current Modulation Schemes Signaling Formats, Multiplexing, and Digital Transmissions Multiplexing PSTN to CPE Circuit Switching Mobile Wireless Technologies Packet Switching and Local Area Network TechnologyThe Language of the Internet: TCP/IP Network Security and Management Voice-Over-IP Wireless Local Area Networks Video Basics Digital Media The Basics of MPLS Networking.

  5. Enabling Dynamic Security Management of Networked Systems via Device-Embedded Security (Self-Securing Devices)

    Science.gov (United States)

    2007-01-15

    machine when it tries to probe and login to other machines that the compromised machine does not usually connect to. Such ano- molous traffic patterns would...3107.pdf [Porras97] Phillip A. Porras and Peter G. Neumann. EMERALD : event monitoring enabling responses to anomalous live disturbances. National...Samar95] V. Samar and R. J. Schemers III. Unified login with pluggable authentication modules (PAM). Open Software Foundation RFC 86.0. Open Software

  6. $L^2$ estimates for the $\\bar \\partial$ operator

    OpenAIRE

    McNeal, Jeffery D.; Varolin, Dror

    2015-01-01

    This is a survey article about $L^2$ estimates for the $\\bar \\partial$ operator. After a review of the basic approach that has come to be called the "Bochner-Kodaira Technique", the focus is on twisted techniques and their applications to estimates for $\\bar \\partial$, to $L^2$ extension theorems, and to other problems in complex analysis and geometry, including invariant metric estimates and the $\\bar \\partial$-Neumann Problem.

  7. Desvelando a Internet das Coisas

    Directory of Open Access Journals (Sweden)

    Lucia Santaella

    2013-12-01

    Full Text Available O presente artigo pretende relatar as origens da Internet das Coisas, seu estado de arte e evidenciar seus principais vetores. Para tal, o estudo percorrerá as eras midiáticas de Santaella (2007, p. 179-189, a par da discussão das máquinas de Turing, da arquitetura Von Neumann até chegar à Internet e seu estado atual, implementada nas coisas.

  8. Loglines. May-June 2014

    Science.gov (United States)

    2014-06-01

    Kathleen T. Rhem Editor: Jacob Boyer Layout/Design: Paul Henry Crank Writers: Beth Reece Sara Moore Amanda Neumann Loglines is prepared...www.logisticsinformationservice.dla.mil dla.tng@dla.mil Jake Logan , a maintenance employee from the U.S. Army Corps of Engineers’ Greers Ferry Project...of their expertise. “The Joint Petroleum Seminar is designed to gather joint petroleum Defense, both incoming and incumbent, and expose them to

  9. A predator-prey system with stage-structure for predator and nonlocal delay

    DEFF Research Database (Denmark)

    Lin, Z.G.; Pedersen, Michael; Zhang, Lai

    2010-01-01

    This paper deals with the behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition, which describes a prey-predator model with nonlocal delay. Sufficient conditions for the global stability of each equilibrium are derived by the Lyapunov functional...... and the results show that the introduction of stage-structure into predator positively affects the coexistence of prey and predator. Numerical simulations are performed to illustrate the results....

  10. Quantum Logic Networks for Probabilistic and Controlled Teleportation of Unknown Quantum States

    Institute of Scientific and Technical Information of China (English)

    GAO Ting

    2004-01-01

    We present simplification schemes for probabilistic and controlled teleportation of the unknown quantum states of both one particle and two particles and construct efficient quantum logic networks for implementing the new schemes by means of the primitive operations consisting of single-qubit gates, two-qubit controlled-not gates, Von Neumann measurement, and classically controlled operations. In these schemes the teleportation are not always successful but with certain probability.

  11. Numerical solution of an inverse 2D Cauchy problem connected with the Helmholtz equation

    International Nuclear Information System (INIS)

    Wei, T; Qin, H H; Shi, R

    2008-01-01

    In this paper, the Cauchy problem for the Helmholtz equation is investigated. By Green's formulation, the problem can be transformed into a moment problem. Then we propose a numerical algorithm for obtaining an approximate solution to the Neumann data on the unspecified boundary. Error estimate and convergence analysis have also been given. Finally, we present numerical results for several examples and show the effectiveness of the proposed method

  12. A Note on the Core of TU-cooperative Games with Multiple Membership Externalities

    Directory of Open Access Journals (Sweden)

    Heinrich H. Nax

    2014-10-01

    Full Text Available A generalization of transferable utility cooperative games from the functional forms introduced by von Neumann and Morgenstern (1944, Theory of Games and Economic Behavior and Lucas and Thrall (1963, Naval Research Logistics Quarterly, 10, 281–298 is proposed to allow for multiple membership. The definition of the core is adapted analogously and the possibilities for the cross-cutting of contractual arrangements are illustrated and discussed.

  13. Quantum Heisenberg groups and Sklyanin algebras

    International Nuclear Information System (INIS)

    Andruskiewitsch, N.; Devoto, J.; Tiraboschi, A.

    1993-05-01

    We define new quantizations of the Heisenberg group by introducing new quantizations in the universal enveloping algebra of its Lie algebra. Matrix coefficients of the Stone-von Neumann representation are preserved by these new multiplications on the algebra of functions on the Heisenberg group. Some of the new quantizations provide also a new multiplication in the algebra of theta functions; we obtain in this way Sklyanin algebras. (author). 23 refs

  14. A Qualitative Linear Utility Theory for Spohn's Theory of Epistemic Beliefs

    OpenAIRE

    Giang, Phan H.; Shenoy, Prakash P.

    2013-01-01

    In this paper, we formulate a qualitative "linear" utility theory for lotteries in which uncertainty is expressed qualitatively using a Spohnian disbelief function. We argue that a rational decision maker facing an uncertain decision problem in which the uncertainty is expressed qualitatively should behave so as to maximize "qualitative expected utility." Our axiomatization of the qualitative utility is similar to the axiomatization developed by von Neumann and Morgenstern for probabilistic l...

  15. Genuine tripartite entangled states with a local hidden-variable model

    International Nuclear Information System (INIS)

    Toth, Geza; Acin, Antonio

    2006-01-01

    We present a family of three-qubit quantum states with a basic local hidden-variable model. Any von Neumann measurement can be described by a local model for these states. We show that some of these states are genuine three-partite entangled and also distillable. The generalization for larger dimensions or higher number of parties is also discussed. As a by-product, we present symmetric extensions of two-qubit Werner states

  16. A measure disintegration approach to spectral multiplicity for normal operators

    OpenAIRE

    Ay, Serdar

    2012-01-01

    Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2012. Thesis (Master's) -- Bilkent University, 2012. Includes bibliographical references leaves 44-45. In this thesis we studied the notion of direct integral Hilbert spaces, first introduced by J. von Neumann, and the closely related notion of decomposable operators, as defined in Kadison and Ringrose [1997] and Abrahamse and Kriete [1973]. Examples which show th...

  17. Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)

    OpenAIRE

    Jakusch, Sven Thorsten; Meyer, Steffen; Hackethal, Andreas

    2016-01-01

    Shortcomings revealed by experimental and theoretical researchers such as Allais (1953), Rabin (2000) and Rabin and Thaler (2001) that put the classical expected utility paradigm von Neumann and Morgenstern (1947) into question, led to the proposition of alternative and generalized utility functions, that intend to improve descriptive accuracy. The perhaps best known among those alternative preference theories, that has attracted much popularity among economists, is the so called Prospect The...

  18. On a certain class of operator algebras and their derivations

    International Nuclear Information System (INIS)

    Ayupov, S. A.; Abdullaev, R.Z.; Kudaybergenov, K.K.

    2009-08-01

    Given a von Neumann algebra M with a faithful normal finite trace, we introduce the so-called finite tracial algebra M f as the intersection of L p -spaces L p (M, μ) over all p ≥ and over all faithful normal finite traces μ on M. Basic algebraic and topological properties of finite tracial algebras are studied. We prove that all derivations on these algebras are inner. (author)

  19. Spectral Analysis of Large Particle Systems

    DEFF Research Database (Denmark)

    Dahlbæk, Jonas

    2017-01-01

    that Schur complements, Feshbach maps and Grushin problems are three sides of the same coin, it seems to be a new observation that the smooth Feshbach method can also be formulated as a Grushin problem. Based on this, an abstract account of the spectral renormalization group is given....

  20. Constraint treatment techniques and parallel algorithms for multibody dynamic analysis. Ph.D. Thesis

    Science.gov (United States)

    Chiou, Jin-Chern

    1990-01-01

    Computational procedures for kinematic and dynamic analysis of three-dimensional multibody dynamic (MBD) systems are developed from the differential-algebraic equations (DAE's) viewpoint. Constraint violations during the time integration process are minimized and penalty constraint stabilization techniques and partitioning schemes are developed. The governing equations of motion, a two-stage staggered explicit-implicit numerical algorithm, are treated which takes advantage of a partitioned solution procedure. A robust and parallelizable integration algorithm is developed. This algorithm uses a two-stage staggered central difference algorithm to integrate the translational coordinates and the angular velocities. The angular orientations of bodies in MBD systems are then obtained by using an implicit algorithm via the kinematic relationship between Euler parameters and angular velocities. It is shown that the combination of the present solution procedures yields a computationally more accurate solution. To speed up the computational procedures, parallel implementation of the present constraint treatment techniques, the two-stage staggered explicit-implicit numerical algorithm was efficiently carried out. The DAE's and the constraint treatment techniques were transformed into arrowhead matrices to which Schur complement form was derived. By fully exploiting the sparse matrix structural analysis techniques, a parallel preconditioned conjugate gradient numerical algorithm is used to solve the systems equations written in Schur complement form. A software testbed was designed and implemented in both sequential and parallel computers. This testbed was used to demonstrate the robustness and efficiency of the constraint treatment techniques, the accuracy of the two-stage staggered explicit-implicit numerical algorithm, and the speed up of the Schur-complement-based parallel preconditioned conjugate gradient algorithm on a parallel computer.

  1. Thermodynamic analogies in economics and finance: instability of markets

    Science.gov (United States)

    McCauley, Joseph L.

    2003-11-01

    Interest in thermodynamic analogies in economics is older than the idea of von Neumann to look for market entropy in liquidity, advice that was not taken in any thermodynamic analogy presented so far in the literature. In this paper, we go further and use a standard strategy from trading theory to pinpoint why thermodynamic analogies necessarily fail to describe financial markets, in spite of the presence of liquidity as the underlying basis for market entropy. Market liquidity of frequently traded assets does play the role of the ‘heat bath‘, as anticipated by von Neumann, but we are able to identify the no-arbitrage condition geometrically as an assumption of translational and rotational invariance rather than (as finance theorists would claim) an equilibrium condition. We then use the empirical market distribution to introduce an asset's entropy and discuss the underlying reason why real financial markets cannot behave thermodynamically: financial markets are unstable, they do not approach statistical equilibrium, nor are there any available topological invariants on which to base a purely formal statistical mechanics. After discussing financial markets, we finally generalize our result by proposing that the idea of Adam Smith's Invisible Hand is a falsifiable proposition: we suggest how to test nonfinancial markets empirically for the stabilizing action of The Invisible Hand.

  2. Nonvolatile Memory Materials for Neuromorphic Intelligent Machines.

    Science.gov (United States)

    Jeong, Doo Seok; Hwang, Cheol Seong

    2018-04-18

    Recent progress in deep learning extends the capability of artificial intelligence to various practical tasks, making the deep neural network (DNN) an extremely versatile hypothesis. While such DNN is virtually built on contemporary data centers of the von Neumann architecture, physical (in part) DNN of non-von Neumann architecture, also known as neuromorphic computing, can remarkably improve learning and inference efficiency. Particularly, resistance-based nonvolatile random access memory (NVRAM) highlights its handy and efficient application to the multiply-accumulate (MAC) operation in an analog manner. Here, an overview is given of the available types of resistance-based NVRAMs and their technological maturity from the material- and device-points of view. Examples within the strategy are subsequently addressed in comparison with their benchmarks (virtual DNN in deep learning). A spiking neural network (SNN) is another type of neural network that is more biologically plausible than the DNN. The successful incorporation of resistance-based NVRAM in SNN-based neuromorphic computing offers an efficient solution to the MAC operation and spike timing-based learning in nature. This strategy is exemplified from a material perspective. Intelligent machines are categorized according to their architecture and learning type. Also, the functionality and usefulness of NVRAM-based neuromorphic computing are addressed. © 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

  3. IMPSOR, 3-D Boundary Problems Solution for Thermal Conductivity Calculation

    International Nuclear Information System (INIS)

    Wilson, D.G.; Williams, M.A.

    1994-01-01

    1 - Description of program or function: IMPSOR implements finite difference methods for multidimensional moving boundary problems with Dirichlet or Neumann boundary conditions. The geometry of the spatial domain is a rectangular parallelepiped with dimensions specified by the user. Dirichlet or Neumann boundary conditions may be specified on each face of the box independently. The user defines the initial and boundary conditions as well as the thermal and physical properties of the problem and several parameters for the numerical method, e.g. degree of implicitness, time-step size. 2 - Method of solution: The spatial domain is partitioned and the governing equation discretized, which yields a nonlinear system of equations at each time-step. This nonlinear system is solved using a successive over-relaxation (SOR) algorithm. For a given node, the previous iteration's temperature and thermal conductivity values are used for advanced points with current values at previous points. This constitutes a Gauss-Seidel iteration. Most of the computing time used by the numerical method is spent in the iterative solution of the nonlinear system. The SOR scheme employed is designed to accommodate vectorization on a Cray X-MP. 3 - Restrictions on the complexity of the problem: Maximum of 70,000 nodes

  4. Compatibility of the Ampere and Lorentz force laws with the virtual-work concept

    International Nuclear Information System (INIS)

    Graneau, P.

    1983-01-01

    Whenever the reaction forces between parts of an electric circuit have to be calculated, as in the design of railguns, a choice has to be made between three available formulae which have evolved during the past 160 years. The first was Ampere's force law for the mechanical interaction between two current elements. Neumann then derived the virtual-work formula from what may be called the Ampere-Neumann electrodynamics. The last to be introduced was the Lorentz force law. This paper investigates whether both the Amperian and the Lorentzian forces are compatible with the virtual-work concept. The conclusion is that only Ampere's formula agrees in all cases with the virtual-work idea, but in special circumstances the Lorentz law will give the same result. After demonstrating how Ampere's law can be derived from the virtual-work formula, it is shown that for two closed circuits the relativistic component of the Lorentz force vanishes under the double integral around the two circuits. The remaining nonvanishing term is also present in the Ampere electrodynamics. This is not the case when considering the reaction forces between two parts of an isolated circuit. The Lorentz force is then, in general, not compatible with the virtual-work concept unless the circuit possesses a high degree of symmetry

  5. Self-consistent field theory simulations of polymers on arbitrary domains

    Energy Technology Data Exchange (ETDEWEB)

    Ouaknin, Gaddiel, E-mail: gaddielouaknin@umail.ucsb.edu [Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106-5070 (United States); Laachi, Nabil; Delaney, Kris [Materials Research Laboratory, University of California, Santa Barbara, CA 93106-5080 (United States); Fredrickson, Glenn H. [Materials Research Laboratory, University of California, Santa Barbara, CA 93106-5080 (United States); Department of Chemical Engineering, University of California, Santa Barbara, CA 93106-5080 (United States); Department of Materials, University of California, Santa Barbara, CA 93106-5050 (United States); Gibou, Frederic [Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106-5070 (United States); Department of Computer Science, University of California, Santa Barbara, CA 93106-5110 (United States)

    2016-12-15

    We introduce a framework for simulating the mesoscale self-assembly of block copolymers in arbitrary confined geometries subject to Neumann boundary conditions. We employ a hybrid finite difference/volume approach to discretize the mean-field equations on an irregular domain represented implicitly by a level-set function. The numerical treatment of the Neumann boundary conditions is sharp, i.e. it avoids an artificial smearing in the irregular domain boundary. This strategy enables the study of self-assembly in confined domains and enables the computation of physically meaningful quantities at the domain interface. In addition, we employ adaptive grids encoded with Quad-/Oc-trees in parallel to automatically refine the grid where the statistical fields vary rapidly as well as at the boundary of the confined domain. This approach results in a significant reduction in the number of degrees of freedom and makes the simulations in arbitrary domains using effective boundary conditions computationally efficient in terms of both speed and memory requirement. Finally, in the case of regular periodic domains, where pseudo-spectral approaches are superior to finite differences in terms of CPU time and accuracy, we use the adaptive strategy to store chain propagators, reducing the memory footprint without loss of accuracy in computed physical observables.

  6. ANALYSIS OF CAMOUFLAGE COVER SPECTRAL CHARACTERISTICS BY IMAGING SPECTROMETER

    Directory of Open Access Journals (Sweden)

    A. Y. Kouznetsov

    2016-03-01

    Full Text Available Subject of Research.The paper deals with the problems of detection and identification of objects in hyperspectral imagery. The possibility of object type determination by statistical methods is demonstrated. The possibility of spectral image application for its data type identification is considered. Method. Researching was done by means of videospectral equipment for objects detection at "Fregat" substrate. The postprocessing of hyperspectral information was done with the use of math model of pattern recognition system. The vegetation indexes TCHVI (Three-Channel Vegetation Index and NDVI (Normalized Difference Vegetation Index were applied for quality control of object recognition. Neumann-Pearson criterion was offered as a tool for determination of objects differences. Main Results. We have carried out analysis of the spectral characteristics of summer-typecamouflage cover (Germany. We have calculated the density distribution of vegetation indexes. We have obtained statistical characteristics needed for creation of mathematical model for pattern recognition system. We have shown the applicability of vegetation indices for detection of summer camouflage cover on averdure background. We have presented mathematical model of object recognition based on Neumann-Pearson criterion. Practical Relevance. The results may be useful for specialists in the field of hyperspectral data processing for surface state monitoring.

  7. Plate with a hole obeys the averaged null energy condition

    International Nuclear Information System (INIS)

    Graham, Noah; Olum, Ken D.

    2005-01-01

    The negative energy density of Casimir systems appears to violate general relativity energy conditions. However, one cannot test the averaged null energy condition (ANEC) using standard calculations for perfectly reflecting plates, because the null geodesic would have to pass through the plates, where the calculation breaks down. To avoid this problem, we compute the contribution to ANEC for a geodesic that passes through a hole in a single plate. We consider both Dirichlet and Neumann boundary conditions in two and three space dimensions. We use a Babinet's principle argument to reduce the problem to a complementary finite disk correction to the perfect mirror result, which we then compute using scattering theory in elliptical and spheroidal coordinates. In the Dirichlet case, we find that the positive correction due to the hole overwhelms the negative contribution of the infinite plate. In the Neumann case, where the infinite plate gives a positive contribution, the hole contribution is smaller in magnitude, so again ANEC is obeyed. These results can be extended to the case of two plates in the limits of large and small hole radii. This system thus provides another example of a situation where ANEC turns out to be obeyed when one might expect it to be violated

  8. Nitrate reduction by fungi in marine oxygen-depleted laboratory microcosms

    Digital Repository Service at National Institute of Oceanography (India)

    Manohar, C.S.; Raghukumar, C.

    in terrestrial soils (Laughlin et al. 2009). Studies on denitrification in wetlands indicate that both bacteria and fungi contribute significantly to denitrification under reducing conditions. However, fungal denitrification might well be of greater ecological... such as grassland soil (Laughlin and Stevens 2002), fumigated soil (Spokas et al. 2006) and woodland (Castaldi and Smith 1998). Mixed cultures of the fungus Fusarium oxysporum and the bacterium Pseudomonas stutzeri (Lehmann and Neumann) Sijderius under anaerobic...

  9. Modelling of pressurized water reactor fuel, rod time dependent radial heat flow with boundary element method; Modeliranje spremenljivega radijalnega toplotnega toka tlacnovodne gorivne palice z metodo robnih elementov

    Energy Technology Data Exchange (ETDEWEB)

    Sarler, B [Institut Jozef Stefan, Ljubljana (Yugoslavia)

    1987-07-01

    The basic principles of the boundary element method numerical treatment of the radial flow heat diffusion equation are presented. The algorithm copes the time dependent Dirichlet and Neumann boundary conditions, temperature dependent material properties and regions from different materials in thermal contact. It is verified on the several analytically obtained test cases. The developed method is used for the modelling of unsteady radial heat flow in pressurized water reactor fuel rod. (author)

  10. The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates

    DEFF Research Database (Denmark)

    Grubb, Gerd

    2011-01-01

    For a second-order symmetric strongly elliptic operator A on a smooth bounded open set in Rn, the mixed problem is defined by a Neumann-type condition on a part Σ+ of the boundary and a Dirichlet condition on the other part Σ−. We show a Kreĭn resolvent formula, where the difference between its...... to the area of Σ+, in the case where A is principally equal to the Laplacian...

  11. A Posteriori Finite Element Bounds for Sensitivity Derivatives of Partial-Differential-Equation Outputs. Revised

    Science.gov (United States)

    Lewis, Robert Michael; Patera, Anthony T.; Peraire, Jaume

    1998-01-01

    We present a Neumann-subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, 'constant-free' upper and lower bounds for sensitivity derivatives of functionals of the solutions of partial differential equations. The design motivation for sensitivity derivative error control is discussed; the a posteriori finite element procedure is described; the asymptotic bounding properties and computational complexity of the method are summarized; and illustrative numerical results are presented.

  12. Decoherence of spin states induced by Rashba coupling for an electron confined to a semiconductor quantum dot in the presence of a magnetic field

    Science.gov (United States)

    Poszwa, A.

    2018-05-01

    We investigate quantum decoherence of spin states caused by Rashba spin-orbit (SO) coupling for an electron confined to a planar quantum dot (QD) in the presence of a magnetic field (B). The Schrödinger equation has been solved in a frame of second-order perturbation theory. The relationship between the von Neumann (vN) entropy and the spin polarization is obtained. The relation is explicitly demonstrated for the InSb semiconductor QD.

  13. Quantum logics and convex geometry

    International Nuclear Information System (INIS)

    Bunce, L.J.; Wright, J.D.M.

    1985-01-01

    The main result is a representation theorem which shows that, for a large class of quantum logics, a quantum logic, Q, is isomorphic to the lattice of projective faces in a suitable convex set K. As an application we extend our earlier results, which, subject to countability conditions, gave a geometric characterization of those quantum logics which are isomorphic to the projection lattice of a von Neumann algebra or a JBW-algebra. (orig.)

  14. Three IQs of AI Systems and their Testing Methods

    OpenAIRE

    Liu, Feng; Shi, Yong; Liu, Ying

    2017-01-01

    The rapid development of artificial intelligence has brought the artificial intelligence threat theory as well as the problem about how to evaluate the intelligence level of intelligent products. Both need to find a quantitative method to evaluate the intelligence level of intelligence systems, including human intelligence. Based on the standard intelligence system and the extended Von Neumann architecture, this paper proposes General IQ, Service IQ and Value IQ evaluation methods for intelli...

  15. Selberg trace formula for bordered Riemann surfaces: Hyperbolic, elliptic and parabolic conjugacy classes, and determinants of Maass-Laplacians

    International Nuclear Information System (INIS)

    Bolte, J.

    1992-08-01

    The Selberg trace formula for automorphic forms of weight m ε- Z, on bordered Riemann surfaces is developed. The trace formula is formulated for arbitrary Fuchsian groups of the first kind which include hyperbolic, elliptic and parabolic conjugacy classes. In the case of compact bordered Riemann surfaces we can explicitly evaluate determinants of Maass-Laplacians for both Dirichlet and Neumann boundary-conditions, respectively. Some implications for the open bosonic string theory are mentioned. (orig.)

  16. Evolution of non-expected utility preferences

    CERN Document Server

    Widekind, Sven von; Fandel, G

    2008-01-01

    The theory on the evolution of preferences deals with the endogenous formation of preference relations in strategic situations. It is related to the field of evolutionary game theory. In this book we analyze the role and the influence of general, possibly non-expected utility preferences in such an evolutionary setup. In particular, we demonstrate that preferences which diverge from von Neumann-Morgenstern expected utility may potentially prove to be successful under evolutionary pressures.

  17. Economics versus psychology.Risk, uncertainty and the expected utility theory

    OpenAIRE

    Schilirò, Daniele

    2017-01-01

    The present contribution examines the emergence of expected utility theory by John von Neumann and Oskar Morgenstern, the subjective the expected utility theory by Savage, and the problem of choice under risk and uncertainty, focusing in particular on the seminal work “The Utility Analysis of Choices involving Risk" (1948) by Milton Friedman and Leonard Savage to show how the evolution of the theory of choice has determined a separation of economics from psychology.

  18. Momentous Choices: Testing nonstandard decision models in health and housing markets

    OpenAIRE

    Filko, Martin

    2013-01-01

    markdownabstract__Abstract__ During more than half a century, several strands of research contributed to the development of decision theory. The standard normative model for choice under uncertainty – expected utility – was given a foundation by von Neumann and Morgenstern (1944) and Savage (1954). It advised – and expected – reasonable actors to evaluate the consequences of their actions by the weighted sum of their utility, using probabilities of these consequences as weights. Utilities wer...

  19. Incertidumbre: loterías y riesgo.

    OpenAIRE

    Ávalos, Eloy

    2011-01-01

    In this paper we develop the theory of uncertainty in a context where the risks assumed by the individual are measurable and manageable. We primarily use the definition of lottery to formulate the axioms of the individual's preferences, and its representation through the utility function von Neumann - Morgenstern. We study the expected utility theorem and its properties, the paradoxes of choice under uncertainty and finally the measures of risk aversion with monetary lotteries.

  20. Uncertainty: lotteries and risk

    OpenAIRE

    Ávalos, Eloy

    2011-01-01

    In this paper we develop the theory of uncertainty in a context where the risks assumed by the individual are measurable and manageable. We primarily use the definition of lottery to formulate the axioms of the individual's preferences, and its representation through the utility function von Neumann - Morgenstern. We study the expected utility theorem and its properties, the paradoxes of choice under uncertainty and finally the measures of risk aversion with monetary lotteries.

  1. Positive Nonlinear Dynamical Group Uniting Quantum Mechanics and Thermodynamics

    OpenAIRE

    Beretta, Gian Paolo

    2006-01-01

    We discuss and motivate the form of the generator of a nonlinear quantum dynamical group 'designed' so as to accomplish a unification of quantum mechanics (QM) and thermodynamics. We call this nonrelativistic theory Quantum Thermodynamics (QT). Its conceptual foundations differ from those of (von Neumann) quantum statistical mechanics (QSM) and (Jaynes) quantum information theory (QIT), but for thermodynamic equilibrium (TE) states it reduces to the same mathematics, and for zero entropy stat...

  2. New derivation of quantum equations from classical stochastic arguments

    OpenAIRE

    Bergeron, H.

    2003-01-01

    In a previous article [H. Bergeron, J. Math. Phys. 42, 3983 (2001)], we presented a method to obtain a continuous transition from classical to quantum mechanics starting from the usual phase space formulation of classical mechanics. This procedure was based on a Koopman-von Neumann approach where classical equations are reformulated into a quantumlike form. In this article, we develop a different derivation of quantum equations, based on purely classical stochastic arguments, taking some elem...

  3. Psychosociální stav pracovníků Hospice sv. Jana N. Neumanna v Prachaticích

    OpenAIRE

    LEVÁ, Monika

    2013-01-01

    This bachelor work deals with psycho-social condition of people working in the Hospice of St Jan N. Neumann in Prachatice. The work is aimed at hospice workers who are exposed to load situations which are typical for providing accompaniment for the dying. Hospice care needs the admittance of a multidisciplinar team. It requires cooperation of physicians, nurses, hospital attendants, psychologists, socal workers, clergies. Family and volunteers should also be included. The theoretical part is ...

  4. The inverse conductivity problem with limited data and applications

    International Nuclear Information System (INIS)

    Isakov, Victor

    2007-01-01

    This paper describes recent uniqueness results in inverse problems for semiconductor devices and in the inverse conductivity problem. We remind basic inverse probelsm in semiconductor theory and outline use of an adjoint equation and a proof of uniqueness of piecewise constant doping profile. For the inverse conductivity problem we give a first uniqueness proof when the Dirichlet-to-Neumann map is given at an arbitrarily small part of the boundary of a three-dimensional domain

  5. Relationship of Quantum Entanglement to Density Functional Theory

    OpenAIRE

    Rajagopal, A. K.; Rendell, R. W.

    2005-01-01

    The maximum von Neumann entropy principle subject to given constraints of mean values of some physical observables determines the density matrix. Similarly the stationary action principle in the case of time-dependent (dissipative) situations under similar constraints yields the density matrix. The free energy and measures of entanglement are expressed in terms of such a density matrix and thus define respective functionals of the mean values. In the light of several model calculations, it is...

  6. Von Neuman representations on self-dual Hilbert W* moduli

    International Nuclear Information System (INIS)

    Frank, M.

    1987-01-01

    Von Neumann algebras M of bounded operators on self-dual Hilbert W* moduli H possessing a cyclic-separating element x-bar in H are considered. The close relation of them to certain real subspaces of H is established. Under the supposition that the underlying W*-algebra is commutative, a Tomita-Takesaki type theorem is stated. The natural cone in H arising from the pair (M, x-bar) is investigated and its properties are obtained

  7. Conditional density matrix: systems and subsystems in quantum mechanics

    International Nuclear Information System (INIS)

    Belokurov, V.V.; Khrustalev, O.A.; Sadovnichij, V.A.; Timofeevskaya, O.D.

    2003-01-01

    A new quantum mechanical notion - Conditional Density Matrix - is discussed and is applied to describe some physical processes. This notion is a natural generalization of von Neumann density matrix for such processes as divisions of quantum systems into subsystems and reunifications of subsystems into new joint systems. Conditional Density Matrix assigns a quantum state to a subsystem of a composite system on condition that another part of the composite system is in some pure state

  8. Entanglement entropy and the colored Jones polynomial

    Science.gov (United States)

    Balasubramanian, Vijay; DeCross, Matthew; Fliss, Jackson; Kar, Arjun; Leigh, Robert G.; Parrikar, Onkar

    2018-05-01

    We study the multi-party entanglement structure of states in Chern-Simons theory created by performing the path integral on 3-manifolds with linked torus boundaries, called link complements. For gauge group SU(2), the wavefunctions of these states (in a particular basis) are the colored Jones polynomials of the corresponding links. We first review the case of U(1) Chern-Simons theory where these are stabilizer states, a fact we use to re-derive an explicit formula for the entanglement entropy across a general link bipartition. We then present the following results for SU(2) Chern-Simons theory: (i) The entanglement entropy for a bipartition of a link gives a lower bound on the genus of surfaces in the ambient S 3 separating the two sublinks. (ii) All torus links (namely, links which can be drawn on the surface of a torus) have a GHZ-like entanglement structure — i.e., partial traces leave a separable state. By contrast, through explicit computation, we test in many examples that hyperbolic links (namely, links whose complements admit hyperbolic structures) have W-like entanglement — i.e., partial traces leave a non-separable state. (iii) Finally, we consider hyperbolic links in the complexified SL(2,C) Chern-Simons theory, which is closely related to 3d Einstein gravity with a negative cosmological constant. In the limit of small Newton constant, we discuss how the entanglement structure is controlled by the Neumann-Zagier potential on the moduli space of hyperbolic structures on the link complement.

  9. A Direct Elliptic Solver Based on Hierarchically Low-Rank Schur Complements

    KAUST Repository

    Chávez, Gustavo

    2017-03-17

    A parallel fast direct solver for rank-compressible block tridiagonal linear systems is presented. Algorithmic synergies between Cyclic Reduction and Hierarchical matrix arithmetic operations result in a solver with O(Nlog2N) arithmetic complexity and O(NlogN) memory footprint. We provide a baseline for performance and applicability by comparing with well-known implementations of the $$\\\\mathcal{H}$$ -LU factorization and algebraic multigrid within a shared-memory parallel environment that leverages the concurrency features of the method. Numerical experiments reveal that this method is comparable with other fast direct solvers based on Hierarchical Matrices such as $$\\\\mathcal{H}$$ -LU and that it can tackle problems where algebraic multigrid fails to converge.

  10. Notas de Ixodologia: II - uma nova espécie do gênero Amblyomma e uma nova espécie do gênero Ixodes (Acari Ixodidae

    Directory of Open Access Journals (Sweden)

    Flavio da Fonseca

    1952-03-01

    Full Text Available A new tick, Amblyomma parkeri, n. sp., is described as a parasite of Coendu sp. from S. Paulo, Brazil. Female holotype, nymph and larva are described (Figs. 2 e 3. The n. sp. differs completly from Koch's species Amblyomma longirostre, the common parasite of the Erethizotidae. Standard data for measures of the female dorsal scutum ixodidae are proposed as follows (fig. 1: PA = Antero-posterior; PB = Postero-basal; PM = Postero-median; TT = Transversal; OO = Inter-ocular; OT= Occulo-transversal; SS = Inter-scapular; CC = Cervical; PT = Postero-transversal; ST = Scapulo-transversal; NPT = Normal to the postero-transversal; NST = Normal to the scapulo-transversal. In the female holotype the standard data are as follows: PA = 2.00 mm; PB = 2.26 mm; PM = 1.10 mm; TT = 2.20 mm; OO = 2.26 mm; SS = 0,84 mm; CC = 0.63 mm; SC = 0.12 mm; NPT = 0.20mm; STN = 0.1 mm. Peritrema 0.80 x 0.42 mm with a narrow postero-internal angle and a large, elongated macula. Coxa I with two short spines and all other coxae with only one shorter spine, shortest in coxa IV. Hypostoma spatulated with formula 3/3. Gnathosoma 1.42 mm long and basis 0.63 mm long by 0.84 greatest wide. Palpi with smoth external surface, 1.00 mm long. Type lot No. 4458 from Cotia, S. Paulo, Brazil; in the acarological collection of the Escola Paulista de Medicina, S. Paulo. Ixodes didelphidis, n. sp., differing from Ixodes loricatus Neumann by the shape of the peritremata (figs. 4 a 5 of the male and female and by the number of the punctations in this organ is described form Didelphidae, Muridae and Cavidae. Twenty eight lots were obtained from Anápolis, Goiás, Brasil, where I. loricatus is subtituded by the n. sp. under description. Comparison with NEUMANN'S types of I. loricatus was possible through the courtesy of Prof. A. BRIZARD from Toulouse, who kindly loaned NEUMANN'S material. Female cotypes N° 40 and male allotype N° 531 in the Collection of Ixodidae of the Oswaldo Cruz Institute.

  11. Options for economic growth in Bangladesh : an application of the Von Neumann model

    NARCIS (Netherlands)

    Stolwijk, H.J.J.

    1987-01-01

    This study comprises an analysis and a quantification of the growth potential of the Bangladesh economy.

    Questions to be answered in this respect are a.o.:

    • what is the maximum (balanced) growth rate of the economy;
    • what does the economy look

    • The Nehari manifold approach for $p(x$-Laplacian problem with Neumann boundary condition

      Directory of Open Access Journals (Sweden)

      A. Taghavi

      2013-07-01

      where $\\Omega \\subset R^N$ is a bounded domain with smooth boundary and $\\lambda, \\mu > 0,~\\gamma$ is the outer unit normal to $\\partial\\Omega$. Under suitable assumptions, we prove the existence of positive solutions by using the Nehari manifold and some variational techniques.

    • Neumann and Robin problems in a cracked domain with jump conditions on cracks

      Czech Academy of Sciences Publication Activity Database

      Medková, Dagmar; Krutitskii, P.

      2005-01-01

      Roč. 301, č. 1 (2005), s. 99-114 ISSN 0022-247X Institutional research plan: CEZ:AV0Z10190503 Keywords : Laplace equation * crack * single layer potential Subject RIV: BA - General Mathematics Impact factor: 0.579, year: 2005

    • Software Deficiency Issues Confronting the Utilization of ’Non-von Neumann’ Architectures

      Science.gov (United States)

      1989-01-01

      registers. Second generation computers were now designed for scientific as well as business applications. Various assembly languages and the first high-order... inteligence data collection and handling, solid state sciences, electromagnetics, and propagation, and electronic, maintainability, and compatibility-

    • Statistical separability and the impossibility of the superluminal quantum communication

      International Nuclear Information System (INIS)

      Zhang Qiren

      2004-01-01

      The authors analyse the relation and the difference between the quantum correlation of two points in space and the communication between them. The statistical separability of two points in the space is defined and proven. From this statistical separability, authors prove that the superluminal quantum communication between different points is impossible. To emphasis the compatibility between the quantum theory and the relativity, authors write the von Neumann equation of density operator evolution in the multi-time form. (author)

    • PURE STATE ENTANGLEMENT ENTROPY IN NONCOMMUTATIVE 2D DE SITTER SPACE TIME

      Directory of Open Access Journals (Sweden)

      M.F Ghiti

      2014-12-01

      Full Text Available Using the general modified field equation, a general noncommutative Klein-Gordon equation up to the second order of the noncommutativity parameter is derived in the context of noncommutative 2D De Sitter space-time. Using Bogoliubov coefficients and a special technics called conformal time; the boson-antiboson pair creation density is determined. The Von Neumann boson-antiboson pair creation quantum entanglement entropy is presented to compute the entanglement between the modes created presented.

    • Brain architecture: A design for natural computation

      OpenAIRE

      Kaiser, Marcus

      2008-01-01

      Fifty years ago, John von Neumann compared the architecture of the brain with that of computers that he invented and which is still in use today. In those days, the organisation of computers was based on concepts of brain organisation. Here, we give an update on current results on the global organisation of neural systems. For neural systems, we outline how the spatial and topological architecture of neuronal and cortical networks facilitates robustness against failures, fast processing, and ...

    • Fourth-order poisson solver for the simulation of bounded plasmas

      International Nuclear Information System (INIS)

      Knorr, G.; Joyce, G.; Marcus, A.J.

      1980-01-01

      The solution of the two-dimensional Poisson equation in a rectangle with periodic boundaries in one direction and Dirichlet or Neumann boundaries in the other can be handled by a Fast Fourier Transform in one dimension and a fast nonperiodic procedure such as splines in the other. Such a solution is necessary for the simulation of semiperiodic plasma systems. A method is presented which is direct and of fourth order in both the electric potential and the electric fields

    • Axisymmetric scattering of an acoustical Bessel beam by a rigid fixed spheroid

      OpenAIRE

      Mitri, F. G.

      2015-01-01

      Based on the partial-wave series expansion (PWSE) method in spherical coordinates, a formal analytical solution for the acoustic scattering of a zeroth-order Bessel acoustic beam centered on a rigid fixed (oblate or prolate) spheroid is provided. The unknown scattering coefficients of the spheroid are determined by solving a system of linear equations derived for the Neumann boundary condition. Numerical results for the modulus of the backscattered pressure (\\theta = \\pi) in the near-field an...

    • Robust Sequential Circuits Design Technique for Low Voltage and High Noise Scenarios

      Directory of Open Access Journals (Sweden)

      Garcia-Leyva Lancelot

      2016-01-01

      In this paper we introduce an innovative input and output data redundancy principle for sequential block circuits, the responsible to keep the state of the system, showing its efficiency in front of other robust technique approaches. The methodology is totally different from the Von Neumann approaches, because element are not replicated N times, but instead, they check the coherence of redundant input data no allowing data propagation in case of discrepancy. This mechanism does not require voting devices.