312 research outputs found
Victor Grassmann, Die erotischen Epoden des Horaz
No full textKnecht Daniel. Victor Grassmann, Die erotischen Epoden des Horaz. In: L'antiquité classique, Tome 35, fasc. 2, 1966. pp. 653-655
Victor Grassmann, Die erotischen Epoden des Horaz
No full textKnecht Daniel. Victor Grassmann, Die erotischen Epoden des Horaz. In: L'antiquité classique, Tome 35, fasc. 2, 1966. pp. 653-655
Grassmann and flag manifolds
No full textTitle: Grassmann and flag manifolds Author: Jakub Eliáš Department: Matematický ústav Univerzity Karlovy Supervisor: Mgr. Lukáš Krump, Ph.D., Matematický ústav Univerzity Karlovy Abstract: This bachelor thesis deals with describing Grassmann and flag man- ifolds as smooth manifolds with their properties. In order to do so we use Lie group theory to introduce a way to construct a smooth atlas on a general quo- tient of a Lie group and its closed Lie subgroup. The thesis consists of two parts. In the first part we summarize needed basics of Lie group theory, we introduce the quotient of a Lie group and its closed Lie subgroup and describe a means how to express it as a homogeneous space. In the second part we introduce the Grassmann manifolds and flag manifolds (which we break up to complete and partial ones) and express both types of them as homogeneous spaces. Keywords: Grassmann manifold, flag manifold, homogeneous space, isotropy group
La fuerza de Ampère-Grassmann-Lorentz
No full textEn este artículo tratamos uno de los temas fundamentales del electromagnetismo clásico: la fuerza magnética entre elementos de corriente. Exploramos en profundidad las leyes de Biot-Savart, Ampère, Grassmann y Lorentz para finalmente encontrar una serie de relaciones matemáticas intrínsecas entre ellas. Intentamos, además, reconciliar el no-cumplimiento de la fuerza de acción-reacción de las leyes de Grassmann y Lorentz con las teorías de Maxwell
Kernels for Grassmann flops
No full textWe develop a generalization of the Q-construction of the first author, Diemer, and the third author for Grassmann flips. This generalization provides a canonical idempotent kernel on the derived category of the associated global quotient stack. The idempotent kernel, after restriction, induces a semi-orthogonal decomposition which compares the flipped varieties. Furthermore its image, after restriction to the geometric invariant theory semistable locus, "opens" a canonical "window" in the derived category of the quotient stack. We check this window coincides with the set of representations used by Kapranov to form a full exceptional collection on Grassmannians
Grassmann Discriminant Analysis: a Unifying View on Subspace-Based Learning
No full textIn this paper we propose a discriminant learning framework for problems in which data consist of linear subspaces instead of vectors. By treating subspaces as basic elements, we can make learning algorithms adapt naturally to the problems with linear invariant structures. We propose a unifying view on the subspace-based learning method by formulating the problems on the Grassmann manifold, which is the set of fixed-dimensional linear subspaces of a Euclidean space. Previous methods on the problem typically adopt an inconsistent strategy: feature extraction is performed in the Euclidean space while non-Euclidean distances are used. In our approach, we treat each subspace as a point in the Grassmann space, and perform feature extraction and classification in the same space. We show feasibility of the approach by using the Grassmann kernel functions such as the Projection kernel and the Binet-Cauchy kernel. Experiments with real image databases show that the proposed method performs well compared with state-of- the-art algorithms
Para-Grassmann Variables and Coherent States
No full textThe definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators
Para-Grassmann variables and coherent states
No full textThe definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators.Facultad de Ciencias Exacta
Para-grassmann variables and coherent states
No full textThe definitions of para-grassmann variables and oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators
Sobre la viabilidad de la señalización con Grassmann múltiples y su comparación con técnicas coherentes
No full textThis master thesis deals with the practical aspects of implementation of signaling based on Grassmann Manifold and its performance when compared with coherent MIMO techniques, not only in open-loop but also in closed loop.Esta tesina aborda los aspectos prácticos de implementación de la señalización basada en Grassmann Manifold y sus prestaciones al compararse con técnicas MIMO coherentes, no sólo en bucle abierto sino también en bucle cerrado.Kadechkar, A. (2016). Sobre la viabilidad de la señalización con Grassmann múltiples y su comparación con técnicas coherentes. https://riunet.upv.es/handle/10251/80470.TFG
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