Results 31 to 40 of about 2,821,966 (339)

On the combinatorics of sparsification

Algorithms for Molecular Biology, 2012
Background We study the sparsification of dynamic programming based on folding algorithms of RNA structures. Sparsification is a method that improves significantly the computation of minimum free energy (mfe) RNA structures.
Huang Fenix WD, Reidys Christian M
doaj   +1 more source

Generating function for web diagrams

, 2014
We present the description of the exponentiated diagrams in terms of generating function within the universal diagrammatic technique. In particular, we show the exponentiation of the gauge theory amplitudes involving products of an arbitrary number of ...
Vladimirov, A. A.
core   +1 more source

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Universal Journal of Mathematics and Applications, 2023
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
doaj   +1 more source

Some identities of bivariate Pell and bivariate Pell-Lucas polynomials

Journal of Amasya University the Institute of Sciences and Technology, 2023
In this paper, we obtain some identities for the bivariate Pell polynomials and bivariate Pell-Lucas polynomials. We establish some sums and connection formulas involving them.
Yashwant Panwar
doaj   +1 more source

Generating function polynomials for legendrian links

, 2001
It is shown that, in the 1-jet space of the circle, the swapping and the flyping procedures, which produce topologically equivalent links, can produce nonequivalent legendrian links.
Bennequin, Conway, Eliashberg, Eliashberg, Eliashberg, Eliashberg, Guy, Lisa Traynor, Tabachnikov, Viterbo   +9 more
core   +2 more sources

Generating-function method for tensor products

, 2000
This is the first of two articles devoted to a exposition of the generating-function method for computing fusion rules in affine Lie algebras. The present paper is entirely devoted to the study of the tensor-product (infinite-level) limit of fusions ...
Berenstein A. D., Berenstein A. D., Bégin L., Bégin L., C. Cummins, Couture M., Cummins C. J., Elliott E. B., Huet G., L. Bégin, P. Mathieu, Sharp R. T., Stanley R. P.   +12 more
core   +2 more sources

A Short Note on Integral Transformations and Conversion Formulas for Sequence Generating Functions

Axioms, 2019
The purpose of this note is to provide an expository introduction to some more curious integral formulas and transformations involving generating functions.
Maxie D. Schmidt
doaj   +1 more source

Performance Analysis of Generating Function Approach for Optimal Reconfiguration of Formation Flying [PDF]

Journal of Astronomy and Space Sciences, 2013
The use of generating functions for solving optimal rendezvous problems has an advantage in the sense that it does not require one to guess and iterate the initial costate.
Kwangwon Lee, Chandeok Park, Sang-Young Park   +2 more
doaj   +1 more source

Generating-function method for fusion rules

, 2000
This is the second of two articles devoted to an exposition of the generating-function method for computing fusion rules in affine Lie algebras. The present paper focuses on fusion rules, using the machinery developed for tensor products in the companion
Berenstein A. D., Berenstein A. D., Bégin L., Bégin L., Bégin L., C. Cummins, Couture M., Cummins C. J., Cummins C. J., Fuchs J., Kirillov A. N., L. Bégin, Mathieu P., P. Mathieu, Sharp R. T., Stanley R. P., Verlinde E., Walton M., Walton M. A., Walton M. A.   +19 more
core   +2 more sources

Avoiding maximal parabolic subgroups of S_k [PDF]

, 2000
We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions.
Mansour, Toufik, Vainshtein, Alek
core   +4 more sources