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Correlations, Coherence, and Order a regular surface. Here, we denoted by . a strictly positive real number. The problem (.) is the problem of the heat propagation and is a prototype for parabolic differential equations of second order.允许 发表于 2025-3-22 09:59:22
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Correlation Force Spectroscopy,Let . be a domain (therefore an open and convex set) in the space .. The most general form of a differential linear operator of second order is .where . are given functions, and . is the unknown function. As usual, we denote by . the vector with . components ..ENNUI 发表于 2025-3-22 17:17:19
Perturbation Theory of Response FunctionsThe Newtonian potential, or the potential of volume, associated to the Laplace equation . is, by definition, the following improper integral: .where ., and . is the area of the unit sphere from the .-dimensional space ..remission 发表于 2025-3-22 21:33:36
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M.S. Harazdyuk,V.T. Bachinsky,I. MeglinskiA useful tool in approaching ordinary differential equations and also partial differential equations is the Laplace transform, which will be studied in this paragraph.ANIM 发表于 2025-3-23 07:32:55
https://doi.org/10.1007/3-540-48972-XThe prototype of a parabolic equation is given by the equation of propagation of heat in a body. Let . be a bounded domain from . having boundary . and .. For a constant of time ., arbitrarily fixed, consider the interval of time . given by