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
Citations
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The design of optimum multifactorial experiments
R. L. Plackett,J. P. Burman +1 more
BookDOI
Spectra of graphs
TL;DR: This book gives an elementary treatment of the basic material about graph Spectra, both for ordinary, and Laplace and Seidel spectra, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics.
Journal ArticleDOI
Grassmannian frames with applications to coding and communication
Thomas Strohmer,Robert W. Heath +1 more
TL;DR: The application of Grassmannian frames to wireless communication and to multiple description coding is discussed and their connection to unit norm tight frames for frames which are generated by group-like unitary systems is discussed.
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Hadamard transform image coding
TL;DR: A high-speed computational algorithm, similar to the fast Fourier transform algorithm, which performs the Hadamard transformation has been developed, which provides a potential toleration to channel errors and the possibility of reduced bandwidth transmission.
Journal ArticleDOI
On mutually unbiased bases
TL;DR: In this paper, the authors present a unified approach in which the basis states are labeled by numbers 0, 1, 2, …, N - 1 that are both elements of a Galois field and ordinary integers, and show how to use the thus constructed mutually unbiased bases in quantum-informatics applications, including dense coding, teleportation, entanglement swapping, covariant cloning, and state tomography.
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.