Journal ArticleDOI
On Orthogonal Matrices
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This article is published in Journal of Mathematics and Physics.The article was published on 1933-04-01. It has received 602 citations till now. The article focuses on the topics: Orthogonal matrix.read more
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Book ChapterDOI
KEYFINDER — A Complete Toolkit for Generating Fractional-Replicate and Blocked Factorial Designs
TL;DR: A broad overview of the KEYFINDER system, a comprehensive, menu-driven, Prolog program for generating, randomizing and tabulating factorial designs in general situations, is given.
Complex Hadamard matrices from Sylvester inverse orthogonal matrices
TL;DR: In this paper, a novel method to obtain parameterizations of complex inverse orthogonal matrices is provided, which is natural generalization of complex Hadamard matrices which depend on non zero complex parameters.
Posted Content
On orthogonal matrices with zero diagonal
Robert F. Bailey,R. Craigen +1 more
TL;DR: In this article, the authors consider real orthogonal matrices whose diagonal entries are zero and off-diagonal entries nonzero, and show that there exists an OMD if and only if $n
eq 1,\ 3$ and that a symmetric OMD (n)-matrix exists if n is even and n ≥ 4.
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Ample simplicial complexes
TL;DR: In this article, it was shown that an Rado simplicial complex is simply connected and 2π-connected for a constant number of vertices for any n ≥ r 2π 2πr 2π r 2 σ 2πR 2πρ 2π σ + σ 1/2πr.
Journal ArticleDOI
Three New Constructions of Asymptotically Optimal Periodic Quasi-Complementary Sequence Sets With Small Alphabet Sizes
TL;DR: Three new constructions of QCSSs using additive characters over finite fields are proposed, which have new parameters and small alphabet sizes and are proved to be asymptotically optimal with respect to the lower bound.
References
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Journal ArticleDOI
A Closed Set of Normal Orthogonal Functions
TL;DR: In this article, the authors studied a new closed set of functions normal and orthogonal on the interval (0, 1) for the interval 0 5 x 5 1, where each function takes only the values + 1 and − 1, except at a finite number of points of discontinuity, where it takes the value zero.
Journal ArticleDOI
LX. Thoughts on inverse orthogonal matrices, simultaneous signsuccessions, and tessellated pavements in two or more colours, with applications to Newton's rule, ornamental tile-work, and the theory of numbers
TL;DR: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 34, No. 232, pp. 461-475 as discussed by the authors, with applications to Newton's rule, ornamental tile-work, and the theory of numbers.