Results 51 to 60 of about 18,466 (195)
Limits of elliptic hypergeometric integrals
, 2006 In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist.
Rains, Eric M.
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Inequalities of some trigonometric functions [PDF]
Publikacije Elektrotehni?kog fakulteta - serija: matematika, 2004 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and tangent function, six inequalities involving tangent function, cotangent function, sine function, secant ...
Chen, Chao-Ping, Qi, Feng
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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Loss Behavior in Supervised Learning With Entangled States
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Entanglement in training samples supports quantum supervised learning algorithm in obtaining solutions of low generalization error. Using analytical as well as numerical methods, this work shows that the positive effect of entanglement on model after training has negative consequences for the trainability of the model itself, while showing the ...
Alexander Mandl +4 more
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Bounds for sine and cosine via eigenvalue estimation
Special Matrices, 2014 Define n × n tridiagonal matrices T and S as follows: All entries of the main diagonal of T are zero and those of the first super- and subdiagonal are one.
Haukkanen Pentti +3 more
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A trigonometric double-inequality
Elemente der Mathematik, 2010 Trigonometric functions, in particular the sine and cosine functions, play a relevant role in physics and various branches of mathematics. In view of their importance the properties of these functions have been studied intensively. Of special interest are inequalities for trigonometric functions.
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On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
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A new way to prove L'Hospital Monotone Rules with applications [PDF]
, 2014 Let $-\infty \leq ...
Yang, Zhen-Hang
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.ABSTRACT We investigate an optimization problem that arises when working within the paradigm of Data‐Driven Computational Mechanics. In the context of the diffusion‐reaction problem, such an optimization problem seeks the continuous primal fields (gradient and flux) that are closest to some predefined discrete fields taken from a material data set. The
Pedro B. Bazon +3 more
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Gaussian Subordination for the Beurling-Selberg Extremal Problem [PDF]
, 2011 We determine extremal entire functions for the problem of majorizing, minorizing, and approximating the Gaussian function $e^{-\pi\lambda x^2}$ by entire functions of exponential type.
Carneiro, Emanuel +2 more
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