Results 31 to 40 of about 3,729,575 (232)
A Jacobi Dual-Petrov-Galerkin Method for Solving Some Odd-Order Ordinary Differential Equations
Abstract and Applied Analysis, 2011 A Jacobi dual-Petrov-Galerkin (JDPG) method is introduced and used for solving fully integrated reformulations of third- and fifth-order ordinary differential equations (ODEs) with constant coefficients.
E. H. Doha, A. H. Bhrawy, R. M. Hafez
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Meromorphic solutions of three certain types of non-linear difference equations
AIMS Mathematics, 2021 In this paper, the representations of meromorphic solutions for three types of non-linear difference equations of form $ f^{n}(z)+P_{d}(z, f) = u(z)e^{v(z)}, $ $ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\lambda z}+p_{2}e^{-\lambda z} $ and $
Min Feng Chen +2 more
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The polynomial method strikes back: tight quantum query bounds via dual polynomials [PDF]
Electron. Colloquium Comput. Complex., 2017 The approximate degree of a Boolean function f is the least degree of a real polynomial that approximates f pointwise to error at most 1/3. The approximate degree of f is known to be a lower bound on the quantum query complexity of f (Beals et al., FOCS ...
Mark Bun, Robin Kothari, J. Thaler
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The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we establish the best constant of $\mathcal{L}^{p}$ Sobolev inequality for a function with anti-periodic boundary conditions. The best constant is expressed by $\mathcal{L}^q$ norm of $(M-1)$-th order Euler polynomial.
Jozef Kiseľák
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A characterization of the four Chebyshev orthogonal families
International Journal of Mathematics and Mathematical Sciences, 2005 We obtain a property which characterizes the Chebyshev orthogonal polynomials of first, second, third, and fourth kind. Indeed, we prove that the four Chebyshev sequences are the unique classical orthogonal polynomial families such that their linear ...
E. Berriochoa +2 more
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Piecewise polynomial representations of genomic tracks. [PDF]
PLoS ONE, 2012 Genomic data from micro-array and sequencing projects consist of associations of measured values to chromosomal coordinates. These associations can be thought of as functions in one dimension and can thus be stored, analyzed, and interpreted as piecewise-
Maxime Tarabichi +2 more
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A New Method to Obtain PH-Helical Curves in E^(n+1)
Journal of New Theory, 2021 Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves.
Çetin Camcı +3 more
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Grothendieck inequalities characterize converses to the polynomial method [PDF]
QuantumA surprising 'converse to the polynomial method' of Aaronson et al. (CCC'16) shows that any bounded quadratic polynomial can be computed exactly in expectation by a 1-query algorithm up to a universal multiplicative factor related to the famous ...
Jop Briët +2 more
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Analytical solution of fractional differential equations by Akbari–Ganji’s method
Partial Differential Equations in Applied Mathematics, 2022 According to the various and extensive applications of fractional calculus in a range of fields, such as engineering, biology, image processing, material science and economics, researchers have discovered new, simpler-to-use and more accurate approaches ...
M.A. Attar +3 more
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Complexity of coalition structure generation [PDF]
, 2011 We revisit the coalition structure generation problem in which the goal is to partition the players into exhaustive and disjoint coalitions so as to maximize the social welfare.
Aziz, Haris, de Keijzer, Bart
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