A Mathematical Model for the Genetic Code(s) Based on Fibonacci Numbers and their q-Analogues
نویسندگان
چکیده
منابع مشابه
A Mathematical Model for the Genetic Code(s) Based on Fibonacci Numbers and their q-Analogues
This work aims at showing the relevance and the applications possibilities of the Fibonacci sequence, and also its q-deformed or “quantum” extension, in the study of the genetic code(s). First, after the presentation of a new formula, an indexed double Fibonacci sequence, comprising the first six Fibonacci numbers, is shown to describe the 20 amino acids multiplets and their degeneracy as well ...
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Let NR([k]) denote the set of words over the alphabet [k] = {1, . . . , k} with no consecutive repeated letters. Given a word w = w1 . . . wn ∈ NR([k]), or more generally in [k]∗, we say that a pair 〈wi, wj〉 matches the μ pattern if i < j, wi < wj, and there is no i < k < j such that wi ≤ wk ≤ wj. We say that 〈wi, wj〉 is a trivial μ-match if wi + 1 = wj and a nontrivial μ-match if wi + 1 < wj. ...
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We study q-analogues of k-Fibonacci numbers that arise from weighted tilings of an n × 1 board with tiles of length at most k. The weights on our tilings arise naturally out of distributions of permutations statistics and set partitions statistics. We use these q-analogues to produce q-analogues of identities involving k-Fibonacci numbers. This is a natural extension of results of the first aut...
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We introduce two sets of permutations of {1, 2, . . . , n} whose cardinalities are generalized Fibonacci numbers. Then we introduce the generalized q-Fibonacci polynomials and the generalized q-Fibonacci numbers (of first and second kind) by means of the major index statistic on the introduced sets of permutations.
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هدف پژوهش حاضر ارائه ی الگویی بر اساس کنش گفتار و کارکرد زبان برای تدوین مطالب درس "بررسی آثار ترجمه شده ی اسلامی" می باشد. در الگوی جدید، جهت تدوین مطالب بهتر و جذاب تر، بر خلاف کتاب-های موجود، از مدل های سطوح گفتارِ آستین (1962)، گروه بندی عملکردهای گفتارِ سرل (1976) و کارکرد زبانیِ هالیدی (1978) بهره جسته شده است. برای این منظور، 57 آیه ی شریفه، به صورت تصادفی از بخش-های مختلف قرآن انتخاب گردید...
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ژورنال
عنوان ژورنال: NeuroQuantology
سال: 2015
ISSN: 1303-5150
DOI: 10.14704/nq.2015.13.3.850