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Titlebook: Euclidean Design Theory; Masanori Sawa,Masatake Hirao,Sanpei Kageyama Book 2019 The Author(s), under exclusive license to Springer Nature

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SpringerBriefs in CybersecurityThe present chapter provides a brief summary of basic ideas and facts concerning ., which are closely related to the theories of cubature formula being a certain class of integration formulas in numerical analysis, as well as of Euclidean design which is a special point configuration in the Euclidean space.
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Property, Corporate, and Government Crime,A . reveals a numerical integration rule that approximates a multiple integral by a positive linear combination of function values at finitely many specified points on the integral domain. A central objective is to investigate the existence as well as the construction of cubature formulas in high dimensions.
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Cubature Formula,A . reveals a numerical integration rule that approximates a multiple integral by a positive linear combination of function values at finitely many specified points on the integral domain. A central objective is to investigate the existence as well as the construction of cubature formulas in high dimensions.
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estimated” with some statistical criterion. . is a popular criterion that seeks for designs minimizing the determinant of the covariance matrix. Here and hereafter, we are mainly concerned with .-optimal designs on the unit ball.
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Kyle J. D. Mulrooney,Katinka van de Venent equations . for all monomials of degree up to 2.. But a serious concern for this approach is that the number of equations rapidly grows with the number of unknown parameters . even in the quadratic or cubic regression (.) in Sect. 3.1.
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estimated” with some statistical criterion. . is a popular criterion that seeks for designs minimizing the determinant of the covariance matrix. Here and hereafter, we are mainly concerned with .-optimal designs on the unit ball.
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