Mathematica implementations, available by email request, of q-analogues of Gosper's and Zeilberger's algorithm are described. Nontrivial examples are given in order to illustrate the usage of these packages. The algorithms are based on a new approach to q-hypergeometric telescoping in which a new algebraic concept, q-greatest factorial factorization (qGFF), plays a fundamental role.

conclusions our method provided good results and performing evacuation under the guide of bedside ultrasonography is recommended. results we treated 173 patients, including 164 females (94.8%), with the mean (sd) age of 43.75 (10.62) years. according to vas, 95.4% of patients reported complete satisfaction while 2 (1.2%) were unsatisfied with the results. patients reported no complication of th...

Dual spacization of publishing means emergence of digital publishing in online and offline virtual environments along with analogue publishing. Analogue publishing is a kind of publishing that is produced in the form of physical printed writings as they appear in a single paper, single or many pages newspapers and magazines and books, writings on leaves and pieces of trees, natural skin and lea...

dual spacization of publishing means emergence of digital publishing in online and offline virtual environments along with analogue publishing. analogue publishing is a kind of publishing that is produced in the form of physical printed writings as they appear in a single paper, single or many pages newspapers and magazines and books, writings on leaves and pieces of trees, natural skin and lea...