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Mathematical Programming Decoding of Binary Linear Codes: Theory and Algorithm
Integer programming LP decoding Mathematical programming ML decoding Polyhedral theory
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2011/9/14
Abstract: Mathematical programming is a branch of applied mathematics and has recently been used to derive new decoding approaches, challenging established but often heuristic algorithms based on iter...
On the mathematical synthesis of equational logics
Equational logic algebraic theories soundness and completeness rewriting
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2011/10/8
Abstract: We provide a mathematical theory and methodology for synthesising equational logics from algebraic metatheories. We illustrate our methodology by means of two applications: a rational recons...
Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Linearized constitutive equations Mooney-Rivlin material Relative descriptional formulation Existence and uniqueness
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2011/9/6
Abstract: For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In this article ...
Bose-Einstein condensates in optical lattices: mathematical analysis and analytical approximate formulae
Bose-Einstein condensates stability of ground states analytical approximate formulae repulsive or attractive interatomic interactions
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2011/9/6
Abstract: We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, ...
Turing instabilities in a mathematical model for signaling networks
Turing instability non-local reaction-diffusion system signaling molecules
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2011/8/30
Abstract: GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is able to loc...
Mathematical modeling of magnetostrictive nanowires for sensor application
sensor application magnetostrictive nanowires Materials Science
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2011/9/30
Abstract: Magnetostrictive wires of diameter in the nanometer scale have been proposed for application as acoustic sensors [Downey et al., 2008], [Yang et al., 2006]. The sensing mechanism is expected...
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
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2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...
Mathematical Principals of Dynamic Systems and the Foundations of Quantum Physics
Mathematical Principals Dynamic Systems the Foundations of Quantum Physic
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2011/9/1
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must posses...
Mathematical model for positive feedback and temperature induced signal transduction and differential gene regulation in {\it Bordetella pertussis}}
Mathematical model positive feedback temperature induced signal
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2011/9/9
Based on the phosphorelay kinetics operative within BvgAS two component system we propose a mathematical model for signal transduction and differential gene regulation in Bordetella pertussis. To unde...
A mathematical model for networks with structures in the mesoscale
mathematical model networks structures
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2011/3/2
The new concept of multilevel network is introduced in order to em-body some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classic...
Glow discharge in low pressure plasma PVD: mathematical model and numerical simulations
Glow discharge low pressure plasma PVD mathematical model numerical simulations
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2011/3/2
In this paper we analyze the problem of glow discharge in low pressure plasma in industrial plant, for chambers of different shapes and various working parameters, like pressure and electric potential...
Beauty and Art. Cognitive Function, Evolution, and Mathematical Models of the Mind
Cognitive Function Evolution Mathematical Models of the Mind
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2011/1/5
The paper discusses relationships between aesthetics theory and mathematical models of mind. Mathematical theory describes abilities for concepts, emotions, instincts, imagination, adaptation, learnin...
Mathematical analysis on MHD pulsatile flow of blood through a rough thin-walled elastic tube
Pulsatile two-phase flow Elastic tube Phase velocity
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2010/9/27
In this paper, the effect of an externally applied uniform transverse magnetic field on pulsatile flow of blood containing particles through a rough thinwalled elastic tube has been studied. The inter...
A short survey on mathematical work of Cemal Ko¸
A short survey mathematical work Cemal Ko¸
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2010/12/20
I first met Cemal Ko¸c during Spring semester of 1977. He was then a young associate professor at the Middle East Technical University, Ankara, and I was a Ph.D. student attending his graduate c...
A mathematical framework for reducing the domain in the mechanical analysis of periodic structures
A mathematical framework mechanical analysis of periodic structures
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2011/1/21
A theoretical framework is developped leading to a sound derivation of Periodic Boundary Conditions (PBCs) for the analysis of domains smaller then the Unit Cells (UCs), named reduced Unit Cells (rUCs...