منابع مشابه
The Magnus Representation for Homology Cylinders
We study the Magnus representation for homology cylinders as a generalization of the Gassner representation for string links defined by Le Dimet [12] and Kirk-Livingston-Wang [11]. As an application, we give some factorization formulas of higher-order degree invariants defined by Harvey in [9], [10] for closed three dimensional manifolds obtained from homology cylinders.
متن کاملThe Z curve database: a graphic representation of genome sequences
MOTIVATION Genome projects for many prokaryotic and eukaryotic species have been completed and more new genome projects are being underway currently. The availability of a large number of genomic sequences for researchers creates a need to find graphic tools to study genomes in a perceivable form. The Z curve is one of such tools available for visualizing genomes. The Z curve is a unique three-...
متن کاملThe Magnus Representation for the Group of Homology Cylinders
We define and study the Magnus representation for homology cylinders generalizing the work of Kirk, Livingston and Wang [KLW] which treats the case of string links. Using this, we give a factorization formula of Alexander polynomials for three dimensional manifolds obtained by closing homology cylinders. We also show a relationship between the Gassner representation for string links and the Mag...
متن کاملSuccinct Representation of Sequences⋆
Given a sequence S = s1s2 . . . sn such that 1 ≤ sq ≤ r for all q, where r = O(polylog(n)), we show how S can be represented using nH0(S)+ o(n) bits (where H0(S) is the zero-order entropy of S), so that we can know any sq, as well as answer rank and select queries on S, in constant time. This extends previous results on binary sequences, and improves previous results on general sequences where ...
متن کاملTrace Representation of Legendre Sequences
In this paper, a Legendre sequence of period p for any odd prime p is explicitely represented as a sum of trace functions from G F(2n) to G F(2), where n is the order of 2 mod p.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Theoretical Biology
سال: 2019
ISSN: 0022-5193
DOI: 10.1016/j.jtbi.2019.08.004