We introduce a quasisymmetric class function associated with group acting on double poset or directed graph. The latter is generalization of the chromatic digraph introduced by Ellzey, while former Grinberg. prove representation-theoretic analogues classical and recent results, including F-positivity, combinatorial reciprocity theorems. deduce results for orbital functions, study notion strongl...

Evidently F is 1-bounded (respectively 2-bounded) if F(x1,..., xm) is bounded for all x1, . . . ,xm by a linear (respectively a polynomial) function of Max{xl 5. . . , xm}. We shall prove that if a 0-bounded function can be defined using 2-bounded primitive recursion it can also be defined using simultaneous 0-bounded recursions. By a class %> of number-theoretic functions we shall always mean ...

In this research paper, a 10 minute period measured wind speed data at 10 m, 30 m, and 40 m heights are presented for one of the major provinces of Iran. Four stations in Khuzestan- Abadan, Hosseyneh, Mahshahr, and Shushtar- are analyzed to determine the potential of wind power generation in this province. From the primary evaluation and by determining mean wind speed and also the Weibull f...

Let \(S_{g,n}\) be an oriented surface of genus g with n punctures, where \(2g-2+n>0\) and \(n>0\). Any ideal triangulation induces a global parametrization the Teichmüller space \(\mathcal {T}_{g,n}\) called shearing coordinates. We study asymptotics number mapping class group orbits respect to standard Euclidean norm The result is based on works Mirzakhani.