نتایج جستجو برای: stirling number of the second kind
تعداد نتایج: 22816749 فیلتر نتایج به سال:
this study examined the effects of collaborative strategic reading and direct instruction in persuasion on iranian high school students persuasive writing and attitudes. students in three intact classes were assigned to one of three treatment conditions: collaborative strategic reading and direct instruction in persuasion or direct instruction in persuasion or a control group. treatment effects...
In this paper, we define two natural (p, q)-analogues of the generalized Stirling numbers of the first and second kind S(α, β, r) and S(α, β, r) as introduced by Hsu and Shiue [17]. We show that in the case where β = 0 and α and r are nonnegative integers both of our (p, q)-analogues have natural interpretations in terms of rook theory and derive a number of generating functions for them. We al...
In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and derive several relations among q-Bernoulli numbers and polynomials, and newly de ned (q; r; w)Stirling numbers of the second kind. We also obtain q-Bernstein polynomials as a linear combination of (q...
in the first chapter we study the necessary background of structure of commutators of operators and show what the commutator of two operators on a separable hilbert space looks like. in the second chapter we study basic property of jb and jb-algebras, jc and jc-algebras. the purpose of this chapter is to describe derivations of reversible jc-algebras in term of derivations of b (h) which are we...
abstract: literature is said beautiful words of poetry or prose that excites reader’s or listener’s feel. certainly, to be effective, such a text should have certain characteristics. the four elements of the literature: thought, imagination, emotion and style make a text to be literary and effective. emotion and imagination are specific elements of literary texts, while thought and style a...
adolescents and young adults and their problems is an issue whose importance is obvious to anyone because youth are the founders of our countrys future and requires proper planning to be on leisure. given the importance of leisure,this study to investigate needs assessment and planning how adolescents and young adults spend their leisure time in urban of case study of high school girls and boys...
n m n m Z ^ . W" = 5>(w, jy^Fip, k)(k)j = Zj\S(m, j)(n, j). k=o y=o k=o j=o Notice that the special case for m = 0 is also true. Hence, (2) holds for every m > 0. • Remark Sometimes in applications of the rule function F(n, k) may involve some independent parameters. Moreover, for the particular case in which F(n, k) > 0, so that (j)(n, 0) > 0, the lefthand side of (2) divided by (j)(n, 0) m...
The Stirling numbers of the second kind { n k } (counting the number of partitions of a set of size n into k non-empty classes) satisfy the relation
A modified approach via differential operator is given to derive a generalization of Stirling numbers of the first kind. This approach combines the two techniques given by Cakic [3] and Blasiak [2]. Some new combinatorial identities and many relations between different types of Stirling numbers are found. Furthermore, some interesting special cases of the generalized Stirling numbers of the fir...
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