Results 221 to 230 of about 298,615 (267)

A New Solution Representation for the Firefighter Problem

2015
The firefighter problem (FFP) is used as a model to simulate how a fire breaks out and spreads to its surroundings over a discrete time period. The goal is to deploy a given number of firefighters on strategic points at each time step to contain the fire in a most efficient way, so that as many areas are saved from the fire as possible.
Bin Hu 0004, Andreas Windbichler, Günther R. Raidl   +2 more
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A Representation for Distributional Solutions of Parabolic Problems

SIAM Journal on Mathematical Analysis, 1977
A boundary-integral representation is derived for distributional solutions of the parabolic problem \[\sum_{| p | , | q | \leq m} {( - 1 )^{| p |} } D_x^p \left( {a_{pq} (x,t)D_x^a u} \right) + \frac{{\partial u}}{{\partial t}} = 0 \] in a finite cylinder, where the base of the cylinder is an analytic manifold.
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Solution representations and pedagogical representations in Chinese and U.S. classrooms

The Journal of Mathematical Behavior, 2005
This study involved an investigation of the relationship between the kinds of solution representations Chinese and U.S. students use and the sorts of pedagogical representations Chinese and U.S. teachers use during instruction. The findings suggest that the representations teachers use influence the representations their students use and, hence, have ...
Jinfa Cai, Frank K. Lester
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On the Probabilistic Representation of a Solution of the Telegraph Equation

Theory of Probability & Its Applications, 1993
See the review in Zbl 0758.60059.
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Multiplicative Representations of Solutions

2013
In this chapter we suggest a representation for solutions of differential delay equations via multiplicative operator integrals.
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Matrix Representation of Solution Mixing by Aliquot Exchange

Analytical Chemistry, 1997
We present a mathematical description of mixing two solutions by exchanging aliquots back and forth between them. We propose that this method of aliquot exchange can be used to automate calibration curve preparation in a way that produces less solvent waste than conventional serial dilution methods. We also show its use in quickly mixing solutions. The
Linford, M., Möhwald, H.
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Field Solutions and Representations

2012
In this chapter we present formal solutions to Maxwell's equations. These can be cast into a variety of integral representations for computing the radiated field by an antenna or the scattered field from a composite structure. Some of these representations are given here, and we will refer to them in the other chapters.
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Solutions and representations by iterated radicals

International Journal of Mathematical Education in Science and Technology, 1993
We give solutions of polynomial equations as well as some remarkable representations of functions as infinite iterations of radicals.
Alexander Abian, Sergei Sverchkov
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Representations of Solutions of Hamilton-Jacobi Equations

2003
In this paper we report on some classical and more recent results about representation formulas for generalized solutions of the evolution partial differential equation $$ {u_t} + H\left( {x,Du} \right) = 0,\left( {x,t} \right) \in {\mathbb{R}^N} \times \left( {0, + \infty } \right). $$
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A Representation for a Distributional Solution of the Heat Equation

SIAM Journal on Mathematical Analysis, 1974
A boundary-integral-boundary-sum representation for certain distributional solutions of the heat equation in a finite cylinder with n-dimensional rectangular base is derived. The method employed involves use of a duality principle at the boundary.
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