Results 221 to 230 of about 15,432 (253)

Fractional differential equations and the Schrödinger equation

Applied Mathematics and Computation, 2005
The authors study fractional differential equations associated to the \(\alpha\)-derivative, where such equations appear in many problems. In particular, they obtain a fractional differential equation related to the classical Schrödinger equation by studying Nottale's approach to quantum mechanics via a fractal space-time.
Fayçal Ben Adda, Jacky Cresson
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Concept Equations

Journal of Logic and Computation, 2004
Summary: The author studies systems of equations which naturally arise in the formalization of the Port-Royal theory of concepts. An unknown quantity is a relation between objects and attributes. We study the case where the relation is fuzzy with truth values in a complete residuated lattice, covering therefore the special cases of complete Boolean ...
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THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION

International Journal of Modern Physics B, 2000
It is known that renormalization group (RG) approaches to partial differential equations give reduced equations, e.g., amplitude equations, as renormalization group equations. Therefore, equations governing slow or global behaviors ought to be derived RG-theoretically.
Pashko, O., Oono, Yoshitsugu
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On Remainder Equations

Mathematical Logic Quarterly, 1997
AbstractThe remainder equations were introduced by S. O. Hansson. In this paper, we will give an exhaustive characterization of the set of solutions for remainder equations. Moreover, solutions to some unsolved problems proposed by Hansson are reported.
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Generalized master equations and the telegrapher's equation

Physica A: Statistical Mechanics and its Applications, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
HONGLER, MO, Streit, Ludwig
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The Equation, the Whole Equation and Nothing But the Equation! One Approach to the Teaching of Linear Equations

Educational Studies in Mathematics, 1997
There exists an extensive range of research looking at the teaching and learning of linear equations, resulting in many papers highlighting a range of teaching approaches and illustrating a variety of significant cognitive problems and stumbling blocks to the learning of linear equations with understanding.
Susan E. B Pirie, Lyndon Martin
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Equations and equational theories

1984
This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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The nonlinear wave equation as a Liénard equation

Funkcialaj Ekvacioj, 1991
In the study of the asymptotic behavior of solutions to the equation \[ u_{tt}+f(u)u_t+g(u)=0, \] where \(f,g\in C^0\), \(f(u)>0\) and \(ug(u)>0\) for \(u\neq 0\), much of the investigation was carried out by means of Lyapunov's direct method and the natural Lyapunov function for the equation is \(V_1(t):= 2\int_0^u g(s)\,ds+u_t^2\).
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FIELD EQUATIONS FROM PARTICLE EQUATIONS

Canadian Journal of Physics, 1955
A simple point of view is developed which shows how various types of field equations may be obtained from the relativistic Hamiltonian of a particle.
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Commutator equations

International Journal of Algebra and Computation
In this paper, we investigate properties of varieties of algebras described by a novel concept of equation that we call commutator equation. A commutator equation is a relaxation of the standard term equality obtained substituting the equality relation with the commutator relation.
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