Results 21 to 30 of about 1,591,995 (286)
On a rigorous definition of microscopic solutions of the Boltzmann–Enskog equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 N. N. Bogolyubov discovered microscopic solutions of the Boltzmann–Enskog equation in kinetic theory of hard spheres. These solutions have the form of sums of the delta-functions and correspond to the exact microscopic dynamics. However, this was done at
Anton Sergeevich Trushechkin
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On defining the generalized functions δα(z) and δn(x)
International Journal of Mathematics and Mathematical Sciences, 1993 In a previous paper (see [5]), we applied a fixed δ-sequence and neutrix limit due to Van der Corput to give meaning to distributions δk and (δ′)k for k∈(0,1) and k=2,3,….
E. K. Koh, C. K. Li
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Mitochondrial Functioning ≠ General Intelligence [PDF]
Journal of Intelligence, 2020 Geary puts forward an appealing argument for the consideration of mitochondrial functioning as a candidate for a formative g Geary (2019); it is also an ambitious argument [...]
Alexander O. Savi +3 more
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On the Duality of Regular and Local Functions
Mathematics, 2017 In this paper, we relate Poisson’s summation formula to Heisenberg’s uncertainty principle. They both express Fourier dualities within the space of tempered distributions and these dualities are also inverse of each other.
Jens V. Fischer
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Stochastic Equations and Equations for Probabilistic Characteristics of Processes with Damped Jumps
Известия Иркутского государственного университета: Серия "Математика", 2023 Processes such as shot noise are an adequate tool for modeling discontinuous random processes with a damping effect. Such processes arise in various fields of physics, technology and human activity, including the field of finance.
I. V. Melnikova, V. A. Bovkun
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Generalized Trigonometric Functions [PDF]
Mathematics of Computation, 1964 is also that of all functions of the form (1 + x2)-2N-c+lQ(x) where Q is a polynomial of degree 4N 2 or lower, the conditions determining the above formula for any a and N are the same as those determining Harper's formula for (using "k" and "n" in the meaning given them in [1]) k = a + 2N -2, n = 2N.
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Generating function for generalized function of two variables [PDF]
Proceedings of the American Mathematical Society, 1974 In this paper we obtain a generating function for a generalized function of two variables. The result is very general in character and includes as particular cases some of the results recently given by Meijer [4], Carlitz [7] and Srivastava [5].
Sharma, B. L., Abiodun, R. F. A.
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Concrete Generic Functionals [PDF]
, 2003 Generic design is not only pertinent to programs, but a fortiori to declarative formalisms as well, and the ensuing generalizations often benefit programming. In the considered framework, generality is obtained by (re)defining traditionally non-functional objects uniformly as functions.
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Increasing the spatial resolution of signals in optical systems
Компьютерная оптика, 2022 Reconstruction of the signal in the intervals between discrete values is of great importance in solving the problem of spatial superresolution in optical microscopy and digital holography.
V.I. Guzhov +2 more
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Some concepts of generalized convex functions (I)
Journal of Numerical Analysis and Approximation Theory, 2002 An extension of the concept of convex function is given in a very general framework provided by a set in which a general convexity for its subsets is defined.
Liana Lupşa, Gabriela Cristescu
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