2-innerproduct spaces and Gâteaux partial derivatives
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Charles R. Diminnie, Albert G. White (1975)
Commentationes Mathematicae Universitatis Carolinae
A.M. Вершик (1984)
Zapiski naucnych seminarov Leningradskogo
P. Fischer, J.P. Mokansi (1981)
Aequationes mathematicae
R. Sridharan, M.-A. Knus, R. Parimala (1989)
Journal für die reine und angewandte Mathematik
Justyna Kosakowska (2001)
Colloquium Mathematicae
Assume that K is an arbitrary field. Let (I, ⪯) be a two-peak poset of finite prinjective type and let KI be the incidence algebra of I. We study sincere posets I and sincere prinjective modules over KI. The complete set of all sincere two-peak posets of finite prinjective type is given in Theorem 3.1. Moreover, for each such poset I, a complete set of representatives of isomorphism classes of sincere indecomposable prinjective modules over KI is presented in Tables 8.1.
Konrad D. Heuvers (1985)
Aequationes mathematicae
T.M.K. Davison (1980)
Aequationes mathematicae
Gabriela Beganu (2005)
RACSAM
Se considera un modelo lineal mixto multivariante equilibrado sin interacción para el que las matrices de las formas cuadráticas necesarias para estimar la covarianza de las componentes se expresan mediante operadores lineales en espacios con producto interior de dimensión finita. El propósito de este artículo es demostrar que las formas cuadráticas obtenidas por el proceso de ortogonalización de Gram-Schmidt de las matrices de diseño son combinaciones lineales de las formas cuadráticas derivadas...
Alexander Prestel (1975)
Mathematische Zeitschrift
Noui, Lemnouar (2007)
APPS. Applied Sciences
Larry J. Gerstein (1982)
Journal für die reine und angewandte Mathematik
Maciej P. Wojtkowski (2009)
Fundamenta Mathematicae
We give a simple direct proof of the polar decomposition for separated linear maps in pseudo-Euclidean geometry.
Yik-Hoi Au-Yeung (1975)
Aequationes mathematicae
Harald Lindner (1978/1979)
Manuscripta mathematica
M. Barot, J. de la Peña (1999)
Colloquium Mathematicae
Pham Dinh Tao (1984)
Numerische Mathematik
Haase, Dietrich, Stachel, Hellmuth (1996)
Beiträge zur Algebra und Geometrie
Alex Rosenberg, Roger Ware (1978)
Mathematische Annalen
Belbachir, Hacene (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
Karel Hron (2009)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Compositional data, multivariate observations that hold only relative information, need a special treatment while performing statistical analysis, with respect to the simplex as their sample space ([Aitchison, J.: The Statistical Analysis of Compositional Data. Chapman and Hall, London, 1986.], [Aitchison, J., Greenacre, M.: Biplots of compositional data. Applied Statistics 51 (2002), 375–392.], [Buccianti, A., Mateu-Figueras, G., Pawlowsky-Glahn, V. (eds): Compositional data analysis in the geosciences:...
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