Results 11 to 20 of about 387,776 (314)
A NOTE ON THE SOLUTION OF THE CHARACTERISTIC EQUATION OVER THE SYMMETRIZED MAX-PLUS ALGEBRA
The symmetrized max-plus algebra is an extension of max-plus algebra. One of the problems in the symmetrized max-plus algebra is determining the eigenvalues of a matrix.
Gregoria Ariyanti
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Generalized characteristic singular integral equation with Hilbert kernel [PDF]
In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
Paweł Karczmarek
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Relative Free Energy Function and Structural Theory of Thermoeconomics
This paper explores the advantages of using relative free energy instead of exergy to build a mathematical theory of thermodynamic costs to diagnose malfunctions in thermal systems.
Antonio Valero, César Torres
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Specificity of the Mathematical Modeling of Light Fields in a Sensing Element for the Fiber-Based Evanescent-Wave Mid-IR Spectroscopy [PDF]
Background and Objectives: The fiber-based evanescent-wave mid-IR spectroscopy is a prospective tool for the real-time remote chemical analysis of various substances, which have their vibrational spectra in the mid-IR spectral range.
Korsakova, Svetlana Vladimirovna +1 more
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Characteristic Neural Ordinary Differential Equations
We propose Characteristic-Neural Ordinary Differential Equations (C-NODEs), a framework for extending Neural Ordinary Differential Equations (NODEs) beyond ODEs. While NODEs model the evolution of a latent variables as the solution to an ODE, C-NODE models the evolution of the latent variables as the solution of a family of first-order quasi-linear ...
Xingzi Xu +4 more
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Hopf bifurcation analysis of a delayed five-neuron BAM neural network with two neurons in the X-layer [PDF]
In this paper, a bidirectional associative memory (BAM) neural network, which consists of two neurons in the X-layer and three neurons in the Y-layer, with two time delays will be studied.
E. Javidmanesh, Z. Afsharnezhad
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Characteristics of Conservation Laws for Difference Equations [PDF]
Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the converse of Noether's Theorem.
Timothy J. Grant 0002, Peter E. Hydon
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To the solution of one pseudo-Volterra integral equation
In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev +3 more
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On the Characteristic Values of Linear Integral Equations [PDF]
on the basis of the general analytic properties of the kernel K (x, ~) such as im tegrability, continuity, differentiability, analyticity and the like? The l i tera ture where this and analogous questions are t rea ted is v e r y considerable [HELLI~G~n-To~eLITZ, I].
Hille, Einar, Tamarkin, J. D.
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The problem of searching for complex roots of the dispersion equations of plasmon-polaritons along the boundaries of the layered structure-vacuum interface is considered. Such problems arise when determining proper waves along the interface of structures
Mikhail V. Davidovich +2 more
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