Results 11 to 20 of about 5,481,811 (291)
Cosine functions revisited [PDF]
Banach Journal of Mathematical Analysis, 2011 The author gives an elementary proof of the small dimension lemma: If \(K\) is a closed, irreducible subgroup of \(SU(n)\), where \(n\in\mathbb{N}\), such that \(k+ k^{-1}\in\mathbb{C} I\) for all \(k\in K\), then \(n=1\), or \(n=2\) and \(K\subseteq SU(2)\).
Dilian Yang
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Integrated cosine functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 In order to the second order Cauchy problem (CP2) : x″(t) = Ax(t), x(0) = x ∈ D(An), x″(0) = y ∈ D(Am) on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function. This paper is concerned with its basic theory, which contain some properties, perturbation and approximation theorems, the relationship to analytic integrated
Quan Zheng
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Complexity, 2018 We propose the cosine similarity measures for intuitionistic fuzzy linguistic sets (IFLSs) and interval-valued intuitionistic fuzzy linguistic sets (IVIFLSs), which are expressed by the linguistic scale function based on the cosine function.
Donghai Liu, Xiaohong Chen, Dan Peng
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Riemann-Liouville fractional cosine functions
Electronic Journal of Differential Equations, 2016 In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Zhan-Dong Mei, Ji-Gen Peng
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Evaluating Some Improper Sine and Cosine Integrals
AxiomsWe consider four infinite collections of improper integrals involving the sine and cosine functions and provide explicit values for the integrals in each of the collections.
Russell A. Gordon
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Some formulas related to Euler's product expansion for cosine function [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we derive by using elementary methods some continued fractions, certain identities involving derivatives of tan x, several expressions for log cosh x and an identity for π², from a series expansion of tan x, which gives the product ...
Taekyun Kim, Dae San Kim
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Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces [PDF]
Filomat, 2017 The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate C-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator C is ...
Daniel Velinov +2 more
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RELATIONS BETWEEN DISTRIBUTION COSINE FUNCTIONS AND ALMOST-DISTRIBUTION COSINE FUNCTIONS [PDF]
Taiwanese Journal of Mathematics, 2007 In this paper, we give connections between distribution cosine functions (defined in [10]) and almost-distribution cosine functions (introduced in [13]). We prove several equalities involving trigonometric convolution products and distribution cosine functions as well as some relations between distribution cosine functions and ultradistribution ...
Kostić, Marko, Miana, Pedro J.
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On the relationship between the integrated cosine function and the operator Bessel function
, 2020 yesBSUIn this paper, formulas are derived relating the built-in function to the solution of the cosine Operator Yk (t) of the Cauchy ...
Glushak, A. V.
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Similarity Measures of Spherical Fuzzy Sets Based on Cosine Function and Their Applications
IEEE Access, 2019 In this paper, we defined ten similarity measures between spherical fuzzy sets (SFSs) based on the cosine function by considering the degree of positive-membership, degree of neutral-membership, degree of non-membership and degree of refusual-membership ...
Guiwu Wei +4 more
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