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Maximally Selected Rank Statistics
Biometrics, 1992A common statistical problem is the assessment of the predictive power of a quantitative variable for some dependent variable. A maximally selected rank statistic regarding the quantitative variable provides a test and implicitly an estimate of a cutpoint as a simple classification rule. Restricting the selection to an arbitrary given inner part of the
Lausen, B, Schumacher, M
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The Maximal Finite CP-Plus-Rank Equals the Maximal CP-Rank
The cp-plus-rank of a symmetric matrix is the smallest number of columns in an entrywise strictly positive Gram factor. We prove that, in every order n, its largest finite value equals the maximal cp-rank p_n. The key observation is that a strictly positive factor remains strictly positive after a sufficiently small contraction along the Perron ...openaire +1 more source
Maximal rank and minimal generation
Archiv der Mathematik, 1989Let C be a curve in \({\mathbb{P}}^ 3\); we say that C is of maximal rank if the restrictions map \(\rho _ k: H^ 0({\mathcal O}_{{\mathbb{P}}^ 3}(k))\to H^ 0({\mathcal O}_ C(k))\) are of maximal rank for each k. We say that C is minimally generated if the multiplication map \(\sigma _ k: H^ 0({\mathcal I}_ C(k))\otimes H^ 0({\mathcal O}_{{\mathbb{P ...
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1994
Abstract In this chapter we look at lattice rules that have the maximal rank s. We meet a simple characterization of maximal rank rules, and show that some maximal rank rules yield outstandingly attractive error bounds. Later in this book we shall see that maximal rank rules have other attributes that make them attractive in ...
I H Sloan, S Joe
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Abstract In this chapter we look at lattice rules that have the maximal rank s. We meet a simple characterization of maximal rank rules, and show that some maximal rank rules yield outstandingly attractive error bounds. Later in this book we shall see that maximal rank rules have other attributes that make them attractive in ...
I H Sloan, S Joe
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On fixed subgroups of maximal rank
Communications in Algebra, 1997We show that, in the free group F of rank n, n is the maximal length of strictly ascending chains of maximal rank fixed subgroups, that is, rank n subgroups of the form Fix^ for some 4> L Aut(F). We further show that, in the rank two case, if the intersection of an arbitrary family of proper maximal rank fixed subgroups has rank two then all those ...
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Mathematical Notes of the Academy of Sciences of the USSR, 1977
We consider a special type of K-space, i.e., almost-Hermitian manifolds whose fundamental form is a Killing form. The K-spaces of this type are characterized by the fact that their dimension is equal to the rank of the covariant derivative of the structure form. A number of the properties of such spaces are established (they are Einstein, compact, have
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We consider a special type of K-space, i.e., almost-Hermitian manifolds whose fundamental form is a Killing form. The K-spaces of this type are characterized by the fact that their dimension is equal to the rank of the covariant derivative of the structure form. A number of the properties of such spaces are established (they are Einstein, compact, have
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Improved Truthful Rank Approximation for Rank-Maximal Matchings
2023Jinshan Zhang 0001 +3 more
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Maximal Rank of m×n× 2 Tensors Over Arbitrary Fields
SIAM Journal on Matrix Analysis and Applications, 2022Baodong Zheng
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The Maximal Rank Conjecture for Non-Special Curves in ℙ3
Inventiones Mathematicae, 1985Edoardo Ballico, Philippe Ellia
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