Unsolvability of the Pell minus-equation for certain odd discriminants
Gerhard A. Bachmaier (2007)
Acta Arithmetica
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Displaying similar documents to “S-bases of proportional algebra.”
Unsolvability of the Pell minus-equation for certain odd discriminants
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Yang, Quan-Hui, Chen, Feng-Juan (2011)
Integers
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Basic Properties of Even and Odd Functions
Bo Li, Yanhong Men (2009)
Formalized Mathematics
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In this article we present definitions, basic properties and some examples of even and odd functions [6].
Small digitwise perturbations of a number make it normal to unrelated bases.
Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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Computation of relative integral bases for algebraic number fields.
Haghighi, Mahmood (1988)
International Journal of Mathematics and Mathematical Sciences
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The -binomial theorem and two symmetric -identities.
Guo, Victor J.W. (2003)
The Electronic Journal of Combinatorics [electronic only]
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Counting the number of unavoidable sets of a given size in a finite set of integers.
Mills, Donald, Mitchell, Patrick (2005)
Integers
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On symmetric bases in nonseparable Banach spaces
Lech Drewnowski (1987)
Studia Mathematica
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A Banach space with a symmetric basis which contains no or , and all its symmetric basic sequences are equivalent
Z. Altshuler (1977)
Compositio Mathematica
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Bases of web Configurations
Aleksandar Krapež, M.A. Taylor (1985)
Publications de l'Institut Mathématique
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Aspects of unconditionality of bases in spaces of compact operators
James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
Supersymmetry classes of tensors
M. Shahryari (2010)
Colloquium Mathematicae
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We introduce the notion of a supersymmetry class of tensors which is the ordinary symmetry class of tensors with a natural ℤ₂-gradation. We give the dimensions of even and odd parts of this gradation as well as their natural bases. Also we give a necessary and sufficient condition for the odd or even part of a supersymmetry class to be zero.