Totally Split-Decomposable Metrics of Combinatorial Dimension Two

2001 ◽  
Vol 5 (1) ◽  
pp. 99-112 ◽  
Author(s):  
A. Dress ◽  
K.T. Huber ◽  
K.T. Huber
Keyword(s):  
Combinatorial Dimension

scholarly journals Invariant valuations on quaternionic vector spaces

2012 ◽  
Vol 11 (3) ◽  
pp. 467-499 ◽  
Author(s):  
Andreas Bernig
Keyword(s):  
Vector Space ◽  
Vector Spaces ◽  
Young Diagrams ◽  
Schur Polynomials ◽  
Combinatorial Dimension ◽  
Translation Invariant

AbstractThe spaces of Sp(n)-, Sp(n) · U(1)- and Sp(n) · Sp(1)-invariant, translation-invariant, continuous convex valuations on the quaternionic vector space ℍn are studied. Combinatorial dimension formulae involving Young diagrams and Schur polynomials are proved.

scholarly journals Combinatorial dimension of fractional Cartesian products

1994 ◽  
Vol 120 (1) ◽  
pp. 73-73 ◽  
Author(s):  
Ron C. Blei ◽  
James H. Schmerl
Keyword(s):  
Combinatorial Dimension ◽  
Cartesian Products

Combinatorial Dimension and Certain Norms in Harmonic Analysis

1984 ◽  
Vol 106 (4) ◽  
pp. 847 ◽  
Author(s):  
Ron Blei
Keyword(s):  
Harmonic Analysis ◽  
Combinatorial Dimension

Combinatorial dimension in fractional Cartesian products

2005 ◽  
Vol 26 (1-2) ◽  
pp. 146-159 ◽  
Author(s):  
Ron Blei ◽  
Fuchang Gao
Keyword(s):  
Combinatorial Dimension ◽  
Cartesian Products

scholarly journals Combinatorial dimensions: Indecomposability on certain local finite-dimensional trivial extension algebras

2014 ◽  
Vol 13 (06) ◽  
pp. 1450024
Author(s):  
Juan Orendain
Keyword(s):  
Trivial Extension ◽  
Combinatorial Dimension ◽  
Infinite Rank ◽  
Finite Dimensional ◽  
Categorical Framework ◽  
Favorable Conditions ◽  
Combinatorial Methods

We study problems related to indecomposability of modules over certain local finite-dimensional trivial extension algebras. We do this by purely combinatorial methods. We introduce the concepts of graph of cyclic modules, of combinatorial dimension, and of fundamental combinatorial dimension of a module. We use these concepts to establish, under favorable conditions, criteria for the indecomposability of a module. We present categorified versions of these constructions and we use this categorical framework to establish criteria for the indecomposability of modules of infinite rank.

scholarly journals Entropy and the combinatorial dimension

2003 ◽  
Vol 152 (1) ◽  
pp. 37-55 ◽  
Author(s):  
S. Mendelson ◽  
R. Vershynin
Keyword(s):  
Combinatorial Dimension

scholarly journals A New Abstract Combinatorial Dimension for Exact Learning via Queries

2002 ◽  
Vol 64 (1) ◽  
pp. 2-21 ◽  
Author(s):  
José L. Balcázar ◽  
Jorge Castro ◽  
David Guijarro
Keyword(s):  
Combinatorial Dimension ◽  
Exact Learning

Combinatorial dimension and random sets

1984 ◽  
Vol 47 (1) ◽  
pp. 65-74 ◽  
Author(s):  
R. C. Blei ◽  
T. W. Körner
Keyword(s):  
Random Sets ◽  
Combinatorial Dimension
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