The Frobenius Number for Sequences of Triangular Numbers Associated with Number of Solutions

Triangular approximations of fuzzy number with value and ambiguity functions

study of cohesive devices in the textbook of english for the students of apsychology by rastegarpour

this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...

Sums of Triangular Numbers from the Frobenius Determinant

Abstract. We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant evaluation of Frobenius. As a limit case, we obtain exact formulas for the number of representations of an arbitrary number as a sum of 4m2/d triangles, whenever d | 2m, and 4m(m + 1)/d triangles, when d | 2m or...

the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach

abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...

The number of permutations with a given number of sequences

P (n, s) denotes the number of permutations of 1, 2,. .. n that have exactly s sequences. Canfield and Wilf [math.CO/0609704] recently showed that P (n, s) can be written as a sum of s polynomials in n. We determine these polynomials explicitly and also obtain explicit expressions for P (n, s) and its fixed-s generating function us(x).