Temat: simplices - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Duality for some free modes
Autorzy:: Pszczoła, Krzysztof
Romanowska, Anna
Smith, Jonathan
Powiązania:: https://bibliotekanauki.pl/articles/728944.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: duality
modes
affine spaces and their subreducts
barycentric algebras
convex sets
simplices
hypercubes
Opis:: The paper establishes a duality between a category of free subreducts of affine spaces and a corresponding category of generalized hypercubes with constants. This duality yields many others, in particular a duality between the category of (finitely generated) free barycentric algebras (simplices of real affine spaces) and a corresponding category of hypercubes with constants.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 45-61
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Applications of saddle-point determinants
Autorzy:: Hauke, Jan
Johnson, Charles
Ostrowski, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/729145.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: bimatrix game
Mean Value Theorem
optimal mixed strategies
saddle point matrix
value of a game
volumes of simplices
Opis:: For a given square matrix $A ∈ M_n({ℝ})$ and the vector $e ∈ (ℝ)^{n}$ of ones denote by (A,e) the matrix
⎡ A e ⎤
⎣ $e^{T}$ 0 ⎦
This is often called the saddle point matrix and it plays a significant role in several branches of mathematics. Here we show some applications of it in: game theory and analysis. An application of specific saddle point matrices that are hollow, symmetric, and nonnegative is likewise shown in geometry as a generalization of Heron's formula to give the volume of a general simplex, as well as a conditions for its existence.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2015, 35, 2; 213-220
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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