the one-dimensional cutting stock problem, has so many applications in lots of industrial processes and during the past few years has attracted so many researchers’ attention all over the world. in this paper a meta-heuristic method based on aco is presented to solve this problem. in this algorithm, based on designed probabilistic laws, artificial ants do select various cuts and then select the...

an important aspect of microarray studies includes the prediction of patient survival based on their gene expression profile. to deal with the high dimensionality of this data, use of a dimension reduction procedure along with the survival prediction model is necessary. this study aimed to present a new method based on wavelet transform for survival relevant gene selection.the data included 204...

We show how to apply the Collatz function and the modified Collatz function to the ternary representation of a positive integer, and we present the ternary modified Collatz sequence starting with a multiple of 3N for an arbitrary large integer N . Each ternary string in the sequence is shown to have a repeating string, and the number of occurrences of each digit in each repeating string is iden...

We solve a problem of Petrova, finalizing the classification of letter patterns avoidable by ternary square-free words; we show that there is a ternary square-free word avoiding letter pattern xyzxzyx. In fact, we • characterize all the (two-way) infinite ternary square-free words avoiding letter pattern xyzxzyx • characterize the lexicographically least (one-way) infinite ternary square-free w...

A cyclotomic polynomial Φn(x) is said to be ternary if n = pqr with p, q and r distinct odd prime factors. Ternary cyclotomic polynomials are the simplest ones for which the behaviour of the coefficients is not completely understood. Eli Leher showed in 2007 that neighboring ternary cyclotomic coefficients differ by at most four. We show that, in fact, they differ by at most one. Consequently, ...

We report on the superconductivity in ternary transition metal tellurides Ta2Pd3Te5 and Nb2Pd3Te5, which have a one-dimensional crystal structure. Single-crystalline polycrystalline samples of show nonmetallic electron conduction, while Ti or W doping results metallic behavior with bulk superconducting at 2–4 K. In contrast, are found to be isostructural Ta2Pd3Te5, 3.3 The structure physical pr...

An internal ballistics model has been developed for performance prediction of a solid propellant rocket motor. In this model a 1-D unsteady Euler equation with source terms is considered. The flow is assumed as a non-reacting mixture of perfect gases with space and time varying thermo physical properties. The governing equations in the combustion chamber are solved numerically by using the Steg...