Results 241 to 250 of about 161,308 (277)
On orthogonal p-adic wavelet bases
Journal of Mathematical Analysis and Applications, 2015 A variety of different orthogonal wavelet bases has been found in L_2(R) for the last three decades. It appeared that similar constructions also exist for functions defined on some other algebraic structures, such as the Cantor and Vilenkin groups and local fields of positive characteristic.
M Skopina
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Authenticated QKD Based on Orthogonal States
International Journal of Theoretical Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiaoling Xiong +5 more
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MDS codes based on orthogonality of quasigroups
Applicable Algebra in Engineering, Communication and Computing, 2023This paper presents a construction of maximum distance separable (MDS) codes through the use of orthogonal systems of \(k\)-ary quasigroup operations, including the concept of extended \(i\)-invertibility. The authors build on established results in quasigroup theory and multivariate polynomial systems to construct recursive linear MDS codes over ...
Satish Kumar +3 more
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Mathematical Notes of the Academy of Sciences of the USSR, 1969
An example of a basis for space C, close to the Schauder system, is constructed which, after orthogonalization by the Schmidt method, is not a basis for space LP for any p e [1, 2) +(2,∞].
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An example of a basis for space C, close to the Schauder system, is constructed which, after orthogonalization by the Schmidt method, is not a basis for space LP for any p e [1, 2) +(2,∞].
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1998
Abstract One important use of the standard inner product of ℝ 3 is that it allows us to distinguish between ‘nice’ bases such as the usual one where the basis vectors are orthogonal to each other and each has length 1, and others such as (1, 0, 0)T, (1, 1, 0)T, (1, 1, 1)T where this is not true.
Richard Kaye, Robert Wilson
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Abstract One important use of the standard inner product of ℝ 3 is that it allows us to distinguish between ‘nice’ bases such as the usual one where the basis vectors are orthogonal to each other and each has length 1, and others such as (1, 0, 0)T, (1, 1, 0)T, (1, 1, 1)T where this is not true.
Richard Kaye, Robert Wilson
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Local orthogonal bases I: Construction
Multidimensional Systems and Signal Processing, 1996The authors present a unified approach to the construction of local orthogonal bases in the continuous and discrete multivariate setting by using symmetry properties of basis functions. Examples for one- and two-dimensional, discrete and continuous cases are included.
BERNARDINI, Riccardo, kovacevic j.
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Orthogonal hermite functions based orthogonal pulse shaping method
2009 Canadian Conference on Electrical and Computer Engineering, 2009Ultra-Wideband (UWB) communication has attracted more attentions due to its advantages in short range applications. As one of the key techniques in UWB systems, many pulse shaping methods have been proposed. The semi-definite programming (SDP) based pulse shaping method can obtain the pulse with highest power efficiency by far.
Xuanli Wu +3 more
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Orthogonal polynomial bases of the orthogonal and symplectic groups
European Physical Journal D, 1982The explicit construction of orthogonal polynomial bases of the orthogonal groups in a Gelfand-Cetlin basis is given. An indication how to compute orthogonal bases for the symplectic groups is presented.
W. H. Klink, T. Ton-That
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1987
Let X be a linear space over K and suppose that on X we have an inner product 〈,〉. The basic notion defined on X by the inner product 〈,〉 is the notion of orthogonality. Using this notion we consider certain families of orthogonal elements which are on the surface of the unit ball of X (considered as a normed linear space (X, ||, ||).
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Let X be a linear space over K and suppose that on X we have an inner product 〈,〉. The basic notion defined on X by the inner product 〈,〉 is the notion of orthogonality. Using this notion we consider certain families of orthogonal elements which are on the surface of the unit ball of X (considered as a normed linear space (X, ||, ||).
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ON PROPERTIES OF BASES AFTER THEIR ORTHOGONALIZATION
Mathematics of the USSR-Izvestiya, 1970We wish to determine which Lp spaces have bases formed by orthogonalizing a sequence of functions {fn} that is a basis in C(0,1). We show that the answer to this question depends on the sequence of functions {fn} and also on the method of orthogonalization.
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