نتایج جستجو برای: hadamard

تعداد نتایج: 6667  

Journal: :Graphs and Combinatorics 1993
Jennifer Seberry Xian-Mo Zhang

Suppose A 1 ; ; A s are (1;?1) matrices of order m satisfying (4) Call A 1 ; ;A s a regular s-set of matrices of order m if (1), (2), (3) are satissed and a regular s-set of regular matrices if (4) is also satissed, these matrices were rst discovered by J. Seberry and A. L. Whiteman in \New Hadamard matrices and conference matrices obtained via Mathon's construction", Graphs and Combinatorics, ...

M. Amini

We consider Gabor systems generated by a Gaussian function and prove certain classical results of Paley and Wiener on nonharmonic Fourier series of complex exponentials for the Gabor expansion‎. ‎In particular, we prove a version of Plancherel-Po ́lya theorem for entire functions with finite order of growth and use the Hadamard factorization theorem to study regularity‎, ‎exactness and deficienc...

Journal: :Mathematics 2023

In this study, the Hermite–Hadamard–Fejér inequalities for GA-h-convex are proved, and results particular classes of functions highlighted. addition, several generalizations Hermite–Hadamard presented. Some features H F that naturally linked to Hermite–Hadamard–Fejér-type have also been discussed. Finally, we obtain applications related p-logarithmic mean order p.

In this manuscript, we introduce concepts of (m1,m2)-logarithmically convex (AG-convex) functions and establish some Hermite-Hadamard type inequalities of these classes of functions.

Journal: :CoRR 2017
Jin-Hwa Kim Byoung-Tak Zhang

The visual explanation of learned representation of models helps to understand the fundamentals of learning. The attentional models of previous works used to visualize the attended regions over an image or text using their learned weights to confirm their intended mechanism. Kim et al. (2016) show that the Hadamard product in multimodal deep networks, which is well-known for the joint function ...

Journal: :J. Comb. Theory, Ser. A 1976
Jennifer Seberry

Given any natural number q > 3 we show there exists an integer t ≤ [2 log2 (q – 3)] such that an Hadamard matrix exists for every order 2q where s > t. The Hadamard conjecture is that s = 2. This means that for each q there is a finite number of orders 2q for which an Hadamard matrix is not known. This is the first time such a statement could be made for arbitrary q. In particular it is already...

2015
Carlos Arturo Loredo-Villalobos Baltazar Aguirre-Hernández

The Hurwitz stable polynomials are important in the study of differential equations systems and control theory (see [7] and [19]). A property of these polynomials is related to Hadamard product. Consider two polynomials p, q ∈ R[x]: p(x) = anx n + an−1x n−1 + · · ·+ a1x + a0 q(x) = bmx m + bm−1x m−1 + · · ·+ b1x + b0 the Hadamard product (p ∗ q) is defined as (p ∗ q)(x) = akbkx + ak−1bk−1x + · ...

Journal: :CoRR 2010
Dhamodaran Sasikala R. Neelaveni

A lot of image registration techniques have been developed with great significance for data analysis in medicine, astrophotography, satellite imaging and few other areas. This work proposes a method for medical image registration using Fast Walsh Hadamard transform. This algorithm registers images of the same or different modalities. Each image bit is lengthened in terms of Fast Walsh Hadamard ...

Journal: :Des. Codes Cryptography 2012
Yutaka Hiramine

Let G be a group of order mu and U a normal subgroup of G of order u. Let G/U = {U1, U2, · · · , Um} be the set of cosets of U in G. We say a matrix H = [hij ] order k with entries from G is a quasi-generalized Hadamard matrix with respect to the cosets G/U if ∑ 1≤t≤k hith −1 jt = λij1U1 + · · · + λijmUm (∃λij1, · · · , ∃λijm ∈ Z) for any i ̸= j. On the other hand, in our previous article we def...

2008
A. Swilem M. R. Girgis E. A. Zanaty R. Ramadan

In this paper, a fast search algorithm for mean pyramids vector quantization by using Hadamard transform of the vector is proposed. The algorithm uses mean pyramids of the vectors and codewords after applying Hadamard transform and one elimination criterion based on deviation characteristic values in the Hadamard transform domain to eliminate unlikely codewords. Our algorithm has the same quali...

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