Presently, variable transformations are used to enhance the performance of lattice rules for multidimensional integration. The transformations that are in the literature so far are of either polynomial or exponential nature. Following a short survey of some of the transformations that have been found to be effective, we propose a new transformation, denoted the sinm-transformation, that is neit...

This paper presents a new mathematical model for a redundancyallocation problem (RAP) withcold-standby redundancy strategy and multiple component choices.The applications of the proposed model arecommon in electrical power, transformation,telecommunication systems,etc.Manystudies have concentrated onone type of time-to-failure, butin thispaper, two components of time-to-failures which follow hy...

In this article, we focus our attention on (q,h)-Gauss?s binomial formula from which discover the additive property of (q; h)-exponential functions. We state (q,h)-analogue Gauss?s in terms proper polynomials T(q,h) own essential properties similar to ordinary polynomials. present (q,h)-Taylor series and analyze conditions for its convergence. introduce a new (q,h)-analytic exponential function...

This paper examines the propagation of M-shape solitons and their interactions with kink waves to (2 + 1)-dimensional integrable Schwarz-Korteweg-de Vries (ISKdV) problem by applying symbolic computation ansatz functions technique logarithmic transformation. The governing model usually appears in nonlinear shallow water fluid mechanics. We discuss various like multiwave solutions (MSs), homocli...