Results 1 to 10 of about 47,540 (308)
On the Implicit Equation of Conics and Quadrics Offsets [PDF]
Mathematics, 2021 A new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with ...
Jorge Caravantes +3 more
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Energies, 2023 Dynamic reconfiguration, the monitoring of power production, and the fault diagnosis of photovoltaic arrays, among other applications, require fast and accurate models of photovoltaic arrays.
Juan David Bastidas-Rodriguez +2 more
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Split and Merge Strategies for Solving Uncertain Equations Using Affine Arithmetic [PDF]
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 2016 The behaviour of systems is determined by various parameters. Due to several reasons like e. g. manufacturing tolerances these parameters can have some uncertainties.
Oliver Scharf +2 more
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Implicit learning of arithmetic regularities is facilitated by proximal contrast. [PDF]
PLoS ONE, 2012 Natural number arithmetic is a simple, powerful and important symbolic system. Despite intense focus on learning in cognitive development and educational research many adults have weak knowledge of the system.
Richard W Prather
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Index of an implicit differential equation [PDF]
Publicacions Matemàtiques, 2010 In the first part of the article, the authors introduce the notion of an index of an implicit ordinary differential equation at an isolated singularity and show that equivalent germs of implicit differential equations possess identical indices. They provide explicit expressions for the case of binary differential equations of degree \(3\).
Challapa, L. S., Ruas, M. A. S.
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On the solvability of initial-value problems for nonlinear implicit difference equations
Advances in Difference Equations, 2004 Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differential-algebraic equations.
Ha Thi Ngoc Yen, Pham Ky Anh
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Computing the Newton Polygon of the Implicit Equation [PDF]
Mathematics in Computer Science, 2010 We consider polynomially and rationally parameterized curves, where the polynomials in the parameterization have fixed supports and generic coefficients. We apply sparse (or toric) elimination theory in order to determine the vertex representation of its implicit polygon, i.e. of the implicit equation's Newton polygon.
Ioannis Z. Emiris +2 more
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Uncoupling Techniques for Multispecies Diffusion–Reaction Model
Computation, 2023 We consider the multispecies model described by a coupled system of diffusion–reaction equations, where the coupling and nonlinearity are given in the reaction part. We construct a semi-discrete form using a finite volume approximation by space.
Maria Vasilyeva +3 more
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On the Multiplicity of Implicit Differential Equations
Journal of Differential Equations, 1998 In this paper the study of the implicit differential equation (IDE) \[ F(x,y,dy/dx)=0 \] (where \(F\) is an analytic function in \((x,y))\) is motivated by some concrete problems concerning binary differential equations (BDE) of the form: \[ a(x,y)dy^2+2b(x,y)dxdy+c(x,y)dx^2=0.
Bruce, J.W., Tari, F.
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Composite Backward Differentiation Formula for the Bidomain Equations
Frontiers in Physiology, 2020 The bidomain equations have been widely used to model the electrical activity of cardiac tissue. While it is well-known that implicit methods have much better stability than explicit methods, implicit methods usually require the solution of a very large ...
Xindan Gao +2 more
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