Results 21 to 30 of about 434,628 (281)
The first-order optical nature of an optical system (including an eye) is completely characterized by a 55 × matrix called the ray transference.
J. R. Cardoso
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The commutation matrix is a matrix that transforms any vec matrix , to vec transpose . In this article, three definitions of the commutation matrix are presented in different ways. It is shown that these three definitions are equivalent.
Yanita Yanita, Lyra Yulianti
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Equiconvergence of matrix transformations [PDF]
Equiconvergence of matrix transformations is related to the existence of Tauberian constants. Agnew’s result on the equiconvergence of Cesàro and Riesz means is shown to be best possible. Finally, equiconvergence of equivalent arithmetical summation methods related to the prime number theorem is investigated.
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Application of wavelets to singular integral scattering equations [PDF]
The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques.
B. M. Kessler +10 more
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On a Class of Parametric Transforms and Its Application to Image Compression
A class of parametric transforms that are based on unified representation of transform matrices in the form of sparse matrix products is described. Different families of transforms are defined within the introduced class. All transforms of one family can
David Guevorkian +2 more
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R-matrix theory of driven electromagnetic cavities [PDF]
Resonances of cylindrical symmetric microwave cavities are analyzed in R-matrix theory which transforms the input channel conditions to the output channels.
A. Heine +21 more
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Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
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Fractional operators for the Wright hypergeometric matrix functions
In this paper, we contribute to the results of Bakhet et al. (Integral Transforms Spec. Funct. 30:138–156, 2019) by applying fractional operators to the Wright hypergeometric matrix functions. We give matrix recurrence relations and integral formulas for
M. Abdalla
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Matrix Transformations of Power Series [PDF]
We consider the sequence of transforms ( g n ) ({g_n}) of a power series ∑ n = 0 ∞ a n
Borwein, David, Jakimovski, Amnon
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Binomial Transforms of the Padovan and Perrin Matrix Sequences
We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations.
Nazmiye Yilmaz, Necati Taskara
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