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For it is precisely here, in the scientific view of the world, that the pure relational concepts characteristic of modern mathematics, logic, and mathematical physics are finally freed from the bounds of sensible intuition.
Note the basics of p-adic analysis, p-adic mathematical physics are explained in [5, 29].
The solution of many problems of mathematical physics are reduced to the spectral investigation of a differential operator.
The solutions of many problems in mathematical physics are involved in investigation of a spectral problem, that is, the investigation of the spectrum and the expansion of an arbitrary function in terms of eigenfunctions of a differential operator.
It is well known that the function (F a, b; c; x)) has many important applications in geometric function theory, theory of mean values, and several other contexts, and many classes of elementary functions and special functions in mathematical physics are particular or limiting cases of this function [1 10].
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Almost nothing in the real world, outside of mathematics and mathematical physics, is this way.
Poincaré's main achievement in mathematical physics was his magisterial treatment of the electromagnetic theories of Hermann von Helmholtz, Heinrich Hertz, and Hendrik Lorentz.
Volterra's later work in analysis and mathematical physics was influenced by Enrico Betti while the former attended the University of Pisa (1878 82).
Gradually, a new conception of the individual emerged, as different from the traditional conceptions as new mathematical physics was different from its mechanistic predecessor.
Example 1 In [40] and references therein, the theory of basic analogs of Fourier series and their applications to quantum groups and mathematical physics is presented.
The success of this approach is well known: the Painlevé transcendents have been discovered in that way and their importance in mathematical physics is ever growing.
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