Results 41 to 50 of about 6,695 (326)
Degree formula for the Euler characteristic [PDF]
Proceedings of the American Mathematical Society, 2012 We give a proof of the degree formula for the Euler characteristic previously obtained by Kirill Zainoulline. The arguments used here are considerably simpler and allow us to remove all restrictions on the characteristic of the base field.
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Discrete Jordan Curve Theorem: A proof formalized in Coq with hypermaps [PDF]
, 2008 This paper presents a formalized proof of a discrete form of the Jordan Curve Theorem. It is based on a hypermap model of planar subdivisions, formal specifications and proofs assisted by the Coq system. Fundamental properties are proven by structural or
Dufourd, Jean-François
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Generalized Summation Formulas for the Kampé de Fériet Function
Axioms, 2021 By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wang established numerous general transformation and reduction formulas for the Kampé de Fériet function and deduced many new summation formulas for the ...
Junesang Choi +2 more
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Hyers-Ulam Stability of Euler’s Equation in the Calculus of Variations
Mathematics, 2021 In this paper we study Hyers-Ulam stability of Euler’s equation in the calculus of variations in two special cases: when F=F(x,y′) and when F=F(y,y′). For the first case we use the direct method and for the second case we use the Laplace transform.
Daniela Marian +2 more
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Solutions of fractional logistic equations by Euler's numbers
, 2017 In this paper, we solve in the convergence set, the fractional logistic equation making use of Euler's numbers. To our knowledge, the answer is still an open question. The key point is that the coefficients can be connected with Euler's numbers, and then
D'Ovidio, Mirko, Loreti, Paola
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, 2002 In q-calculus, the Jackson formula (19.2) provides a way to compute explicitly a q-antiderivative of any function. Recall that the Jackson formula was deduced formally using operators. We will do a similar thing for the h-antiderivative in this chapter.
Pokman Cheung, Victor G. Kac
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Inverse hyperbolic equation, Spectral technique, Regularization method, Operational matrix
Kuwait Journal of ScienceRecently, the realm related to Euler's Beta function has played a significant role in the development of special function theory. In this study, a new extension of the special function known as Euler's Beta function with respect to the Mittag-Leffler ...
Firas Ghanim +2 more
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On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 The paper gives necessary and sufficient conditions of classic solution for a homogeneous wave equation with a summable potential, fixed end-point, and zero initial velocity.
Avgust Petrovich Khromov
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Vehicle Directional Cosine Calculation Method
Vehicles, 2023 Teaching kinematic rotations is a daunting task for even some of the most advanced mathematical minds. However, changing the paradigm can highly simplify envisioning and explaining the three-dimensional rotations.
Derek Hall, Timothy Sands
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Entropy, 2023 We introduce a quantum Lernmatrix based on the Monte Carlo Lernmatrix in which n units are stored in the quantum superposition of log2(n) units representing On2log(n)2 binary sparse coded patterns.
Andreas Wichert
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