Results 51 to 60 of about 530,971 (262)

Orthogonal Basic Hypergeometric Laurent Polynomials

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
doaj   +1 more source

On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′(0)−1 = 0, associated with exponential functions.
Breaz Daniel   +2 more
doaj   +1 more source

Conjugate gradient algorithm for consistent generalized Sylvester-transpose matrix equations

open access: yesAIMS Mathematics, 2022
We develop an effective algorithm to find a well-approximate solution of a generalized Sylvester-transpose matrix equation where all coefficient matrices and an unknown matrix are rectangular.
Kanjanaporn Tansri   +2 more
doaj   +1 more source

ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES [PDF]

open access: yesJournal of the Australian Mathematical Society, 2016
We present some properties of orthogonality and relate them with support disjoint and norm inequalities in $p$ -Schatten ideals. In addition, we investigate the problem of characterization of norm-parallelism for bounded linear operators. We consider the
T. Bottazzi   +4 more
semanticscholar   +1 more source

Triple Designs: A Closer Look from Indicator Function

open access: yesMathematics, 2023
A method of tripling for a three-level design, which triples both the run size and the number of factors of the initial design, has been proposed for constructing a design that can accommodate a large number of factors by combining all possible level ...
Zujun Ou, Minghui Zhang, Hongyi Li
doaj   +1 more source

The Role of Orthogonality in Genetic Code Expansion

open access: yesLife, 2019
The genetic code defines how information in the genome is translated into protein. Aside from a handful of isolated exceptions, this code is universal. Researchers have developed techniques to artificially expand the genetic code, repurposing codons and ...
Pol Arranz‐Gibert   +2 more
semanticscholar   +1 more source

Geometric Optimization and Structural Analysis of Cable-Braced Gridshells on Freeform Surfaces

open access: yesBuildings
In freeform surface grid structures, quadrilateral meshes offer high visual transparency and simple joint connections, but their structural stability is relatively limited.
Xinye Li, Qilin Zhang
doaj   +1 more source

Using Volunteer Computing to Study Some Features of Diagonal Latin Squares

open access: yesOpen Engineering, 2017
In this research, the study concerns around several features of diagonal Latin squares (DLSs) of small order. Authors of the study suggest an algorithm for computing minimal and maximal numbers of transversals of DLSs.
Vatutin Eduard   +3 more
doaj   +1 more source

One Note for Fractionation and Increase for Mixed-Level Designs When the Levels Are Not Multiple

open access: yesMathematics, 2021
Mixed-level designs have a wide application in the fields of medicine, science, and agriculture, being very useful for experiments where there are both, quantitative, and qualitative factors.
Yaquelin Verenice Pantoja-Pacheco   +5 more
doaj   +1 more source

On Orthogonal Arrays

open access: yesThe Annals of Mathematical Statistics, 1966
It was shown in [11] that one can construct orthogonal arrays $(\lambda 2^3, k + 1, 2, 3)$ from arrays $(\lambda 2^2, k, 2, 2)$ with the maximum number of constraints $k + 1$ provided that $k$ is the maximum number of constraints for the arrays of strength two. This result is generalized here to construction of arrays $(\lambda 2^{t + 1}, k + 1, 2, t +
Seiden, Esther, Zemach, Rita
openaire   +2 more sources

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