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Mathematical Physics
, 2005
"... Abstract. Following Ehrenfest’s approach, the problem of quantumclassical correspondence can be treated in the class of trajectorycoherent functions that approximate as �→0aquantummechanical state. This idea leads to a family of systems of ordinary differential equations, called Ehrenfest Msyste ..."
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directly from the corresponding Ehrenfest systems, without solving the quantum equation: the semiclassical asymptotics for the spectrum are obtained from the rest point solution. One of the key steps is derivation of a modified nonlinear superposition principle valid in the class of trajectory
Mathematical Analysis of Behavior Systems.
 Proc. From Perception to Action Conference
, 1994
"... A behavior system consists of the components and control programs necessary to establish a particular behavior in a robotic agent. The paper proposes a mathematical approach for the analysis of behavior systems. The approach rests on viewing a behavior system as a dynamical system whose equilibrium ..."
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Cited by 17 (0 self)
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A behavior system consists of the components and control programs necessary to establish a particular behavior in a robotic agent. The paper proposes a mathematical approach for the analysis of behavior systems. The approach rests on viewing a behavior system as a dynamical system whose equilibrium
Dynamic data driven applications systems: A new paradigm for application simulations and measurements
 Computational ScienceICCS 2004: 4th International Conference
, 2004
"... Abstract. The Dynamic Data Driven Application Systems (DDDAS) concept entails the ability to incorporate dynamically data into an executing application simulation, and in reverse, the ability of applications to dynamically steer measurement processes. Such dynamic data inputs can be acquired in real ..."
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Cited by 102 (2 self)
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modeling approaches and interfaces to measurement systems, mathematical and statistical algorithms tolerant to perturbations from dynamic data inputs, and systems software to support the dynamic resource requirements of such applications. This and the rest of the papers in the proceedings of this workshop
Origins of Rest Mass Energy in Einstein’s derivations
"... Einstein derived five equations relating to mass (rest mass, mass exchanged) and energy. From the relativistic form of kinetic energy KE = (Mmotion–Mrest)c 2, Einstein derived the classical form of kinetic energy (under the conditions when v<<c). Also writing the relativistic kinetic energy in ..."
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Einstein derived five equations relating to mass (rest mass, mass exchanged) and energy. From the relativistic form of kinetic energy KE = (Mmotion–Mrest)c 2, Einstein derived the classical form of kinetic energy (under the conditions when v<<c). Also writing the relativistic kinetic energy
Measuring Asymmetric Interactions in Resting State Brain Networks?
"... Abstract. Directed graph representations of brain networks are increasingly being used to indicate the direction and level of influence among brain regions. Most of the existing techniques for directed graph representations are based on time series analysis and the concept of causality, and use ti ..."
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measure of necessity that uses asymmetry in the joint distribution of brain activations to infer the direction and level of interaction among brain regions. We present a mathematical formula for computing necessity and extend this measure to partial necessity, which can potentially distinguish between
Discrete Mathematics  Some Notes
, 2010
"... These are notes on discrete mathematics for computer scientists. The presentation is somewhat unconventional. Indeed I begin with a discussion of the basic rules of mathematical reasoning and of the notion of proof formalized in a natural deduction system “a la Prawitz”. The rest of the material is ..."
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These are notes on discrete mathematics for computer scientists. The presentation is somewhat unconventional. Indeed I begin with a discussion of the basic rules of mathematical reasoning and of the notion of proof formalized in a natural deduction system “a la Prawitz”. The rest of the material
Symmetry in mathematical programming
 MIXED INTEGER NONLINEAR PROGRAMMING. VOLUME IMA
"... Symmetry is mainly exploited in mathematical programming in order to reduce the computation times of enumerative algorithms. The most widespread approach rests on: (a) finding symmetries in the problem instance; (b) reformulating the problem so that it does not allow some of the symmetric optima; ( ..."
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Cited by 4 (2 self)
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Symmetry is mainly exploited in mathematical programming in order to reduce the computation times of enumerative algorithms. The most widespread approach rests on: (a) finding symmetries in the problem instance; (b) reformulating the problem so that it does not allow some of the symmetric optima
Foundations of Eurocentrism in mathematics
 Race and Class
, 1987
"... Visiting Fellowship collecting material for a forthcoming book, entitled History of Mathematics: a nonEuroceritric approach. There exists a widespread Eurocentric bias in the production, dissemination and evaluation of scientific knowledge. And this is in part a result of the way many perceive the ..."
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Cited by 6 (0 self)
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Visiting Fellowship collecting material for a forthcoming book, entitled History of Mathematics: a nonEuroceritric approach. There exists a widespread Eurocentric bias in the production, dissemination and evaluation of scientific knowledge. And this is in part a result of the way many perceive
A mathematical model for spreading cortical depression
 Biophys. J
, 1978
"... Abstract. Mathematical models of spreading depression are considered in the form of reactiondiffusion systems in two space dimensions. The systems are solved numerically. In the two component model with potassium and calcium ion concentrations, we demonstrate, using updated parameter values, trav ..."
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Cited by 32 (10 self)
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Abstract. Mathematical models of spreading depression are considered in the form of reactiondiffusion systems in two space dimensions. The systems are solved numerically. In the two component model with potassium and calcium ion concentrations, we demonstrate, using updated parameter values
Architecture for Computational Mathematical Morphology
"... We present a realtime, compact architecture for translationinvariant windowed nonlinear discrete filters represented in computational mathematical morphology (CMM). The architecture enables filter values to be computed in a deterministic number of operations and thus can be pipelined. Memory requi ..."
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Cited by 2 (0 self)
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We present a realtime, compact architecture for translationinvariant windowed nonlinear discrete filters represented in computational mathematical morphology (CMM). The architecture enables filter values to be computed in a deterministic number of operations and thus can be pipelined. Memory
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