The Umbral Transfer-Matrix Method. I. Foundations
نویسندگان
چکیده
منابع مشابه
The Umbral Transfer-Matrix Method. I. Foundations
According to cohen venavi, a classic Hebrew essay by Ekhad Ha-Am, there are two ways of serving God: Priest and Prophet. The priest is a very skilled technician who knows by heart the 613 mitzvahs, and who can slaughter a lamb with due regard to the many rigorous and subtle laws. On the other hand, a prophet is often very clumsy in the day-to-day ritual, and is unable to sacrifice an animal pro...
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This is the third part of the five-part saga on the umbral transfermatrix method, based on Gian-Carlo Rota’s seminal notion of the umbra. In this article we describe the Maple package ZOO that for any specific k, automatically constructs an umbral scheme for enumerating “k-board” lattice animals (polyominoes) on the two-dimensional square lattice. Such umbral schemes enable counting these impor...
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This is the fifth, and last, installment of the saga on the Umbral Transfer-Matrix method, based on Gian-Carlo Rota’s seminal notion of the umbra. Here we extend the powerful GouldenJackson Cluster method, that enables one to compute generating functions enumerating words that avoid, as factors, any given finite set of “mistakes”, to the case where there are infinitely many mistakes. This infin...
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This is the fourth installment of the five-part saga on the Umbral Transfer-Matrix method, based on Gian-Carlo Rota’s seminal notion of the umbra. In this article we describe the Maple packages USAP, USAW, and MAYLIS. USAP automatically constructs, for any specific r, an Umbral Scheme for enumerating, according to perimeter, the number of self-avoiding polygons with ≤ 2r horizontal edges per ve...
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In this paper, an analytical method for vibrations analysis of offshore wind turbine towers with fixed monopile platform is presented. For this purpose, various and the most general models including CS, DS and AF models are used for modeling of wind turbine foundation and axial force is modeled as a variable force as well. The required equations for determination of wind turbine tower response ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2000
ISSN: 0097-3165
DOI: 10.1006/jcta.2000.3110