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Annals of Combinatorics, 2000
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Mutually Orthogonal Orthogonalized Plane Waves
Physical Review B, 1972A basis set of mutually orthogonal orthogonalized plane waves (OPW's) is constructed. As an example of the utility of this basis set, these orthogonal OPW's are applied in the simplification of the secular equation of the one-electron problem in a periodic potential.
G. E. Juras +3 more
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Illumination of Orthogonal Polygons with Orthogonal Floodlights
International Journal of Computational Geometry & Applications, 1998We provide the first tight bound for covering an orthogonal polygon with n vertices and h holes with vertex floodlights (guards with restricted angle of vision). In particular, we provide tight bounds for the number of orthogonal floodlights, placed at vertices or on the boundary, sufficient to illuminate the interior or the exterior of an orthogonal ...
Abello, James +3 more
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Designs, Codes and Cryptography, 2002
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A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
, 2017In this paper, we study Birkhoff-James orthogonality of bounded linear operators and give a complete characterization of Birkhoff-James orthogonality of bounded linear operators on infinite dimensional real normed linear spaces.
D. Sain, K. Paul, A. Mal
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Performance Comparison between Orthogonal, Bi-Orthogonal and Semi- Orthogonal Wavelets
Advanced Materials Research, 2012The main work in the wavelet analysis is to find a good wavelet basis to perform an optimal decomposition. The goal of the proposed study is to obtain a basis function that can give optimal information from PQ signal. The study presents the wavelet basis to obtain the reconstruction and decomposition filter coefficients for orthogonal, bi-orthogonal ...
Manish Kumar Saini +3 more
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1966
Publisher Summary This chapter focuses on simple sets of orthogonal polynomials. These sets of polynomials arise in various ways, one of which is as the solutions of a class of differential equations. It has been shown that, under certain conditions, given any interval and a positive weight function on that interval, there exists a corresponding set ...
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Publisher Summary This chapter focuses on simple sets of orthogonal polynomials. These sets of polynomials arise in various ways, one of which is as the solutions of a class of differential equations. It has been shown that, under certain conditions, given any interval and a positive weight function on that interval, there exists a corresponding set ...
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Orthogonal and non-orthogonal hybrids
Journal of Molecular Structure: THEOCHEM, 1988Abstract Ab initio MO wave functions for XHn molecules are analyzed in terms of the hybridization concept. It was found that for X from the first row (especially for carbon) the hybrid-AOs so obtained are close to orthogonal. If X is from the second row, different hybrids on the same atom overlap strongly and the well-known relations between degree ...
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Orthogonal Ribosome Biofirewall
ACS Synthetic Biology, 2017Biocontainment systems are crucial for preventing genetically modified organisms from escaping into natural ecosystems. Here, we describe the orthogonal ribosome biofirewall, which consists of an activation circuit and a degradation circuit. The activation circuit is a genetic AND gate based on activation of the encrypted pathway by the orthogonal ...
Bin Jia +7 more
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Column-orthogonal strong orthogonal arrays and sliced strong orthogonal arrays
Statistica Sinica, 2015A strong orthogonal array of strength t can achieve uniformity on finer grids when projected onto any g dimensions for any g less than t. It can be regarded as a kind of uniform space-filling design. Meanwhile, orthogonality is also desir- able for space-filling designs.
Haiyan Liu, Min-Qian Liu
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