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Bicarbonate and Carbohydrate Co-Ingestion During Exercise in a Novel Gel Format Improves Time-Trial Performance After 3 h of Moderate-Intensity Exercise in Trained Cyclists. [PDF]
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Comparative evaluation of oncolytic viruses reveals opposing preferences for glioblastoma subtypes. [PDF]
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Reliability and validity of the steep ramp test to assess cardiorespiratory fitness in apparently healthy adults. [PDF]
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ElecMeter: An index for evaluating dissatisfaction of social decision-making. [PDF]
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More on Maximal and Minimal Ranks of Schur Complements With Applications
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Maximal and Minimal Ranks of Some Expressions of Generalized Inverses of Matrices
Southeast Asian Bulletin of Mathematics, 2002Maximal and minimal ranks of the matrix expression \(A-BXC\) with respect to \(X\) are determined. Using these results the maximal and minimal ranks of \(AA^-- A^-A\), \(BB^-A- AC^-C\), and \(B^-BA- ACC^-\) with respect to the choice of generalized inverses \(A^-\), \(B^-\), and \(C^-\) are found.
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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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Algebra Colloquium, 2009
We establish the formulas of the maximal and minimal ranks of the common solution of certain linear matrix equations A1X = C1, XB2 = C2, A3XB3 = C3 and A4XB4 = C4 over an arbitrary division ring. Corresponding results in some special cases are given.
Guangjing Song, Qingwen Wang
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We establish the formulas of the maximal and minimal ranks of the common solution of certain linear matrix equations A1X = C1, XB2 = C2, A3XB3 = C3 and A4XB4 = C4 over an arbitrary division ring. Corresponding results in some special cases are given.
Guangjing Song, Qingwen Wang
exaly +3 more sources

