نتایج جستجو برای: evolution algebra
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in chapter 1, charactrizations of fragmentability, which are obtained by namioka (37), ribarska (45) and kenderov-moors (32), are given. also the connection between fragmentability and its variants and other topics in banach spaces such as analytic space, the radone-nikodym property, differentiability of convex functions, kadec renorming are discussed. in chapter 2, we use game characterization...
Evolution algebras are not necessarily associative algebras satisfying eiej = 0 whenever ei, ej are two distinct basis elements. They mimic the self-reproduction of alleles in non-Mendelian genetics. We present elementary mathematical properties of evolution algebras that are of importance from the biological point of view. Several models of Mendelian [2, 4, 12, 6, 8, 11] and non-Mendelian gene...
This paper is the text of a talk given by the second author at the Chern Conference. Intended for a general audience, it is based on joint work in progress with Mark Green. The purposes of the talk were (i) to discuss Abel’s differential equations (DE’s) for algebraic curves in both classical and modern form, (ii) to explain in a special case the extension of Abel’s DE’s to general algebraic va...
where ∧ is the usual cross product, and s denotes the arc-length parametrization. We study its evolution, taking planar regular polygons of M sides as initial data. Assuming uniqueness and bearing in mind the invariances and symmetries of the problem, we are able to fully characterize, by algebraic means, X(s, t) and its derivative, the tangent vector T(s, t), at times t which are rational mult...
We consider the classical W (2) 4 algebra from the integrable system viewpoint. The integrable evolution equations associated with the W (2) 4 algebra are constructed and the Miura maps , consequently modifications , are presented. Modifying the Miura maps, we give a free field realization the classical W (2) 4 algebra. We also construct the Toda type integrable systems for it.
abstract because of the many geopolitical, geo economical and geo strategically potentials and communicational capabilities of eco region, members can expand the convergence and the integration in base of this organization that have important impact on members development and expanding peace in international and regional level. based on quality analyzing of library findings and experts interv...
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
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The set of known dialects of the genetic code (GC) is analyzed from the viewpoint of the genetic octave Yin-Yang-algebra. This algebra was described in the previous author’s publications. The algebra was discovered on the basis of structural features of the GC in the matrix form of its presentation (“matrix genetics”). The octave Yin-Yang-algebra is considered as the pre-code or as the model of...
The authors wish to make the following corrections this paper [1] (see corrected version in postprint [2]):On page 2, paragraph 4, complete first sentence ‘In Theorem 2 we show that if A is a real algebra and B basis of then also Aℂ, complexification (with same multiplication structure matrices) an evolution if, only Aℂ algebra’ with phrase ‘and has natural consisting elements A’ [...]
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