A class of discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different Poisson brackets and include as particular cases the saturable discrete nonlinear Schrödinger equation and the Ablowitz-Ladik equation. As a common property, these equations possess three kinds of exact analytical sta...

In this paper, we present a full-space barrier method designed for stress-constrained mass minimization problems with discrete material options. The advantages of the full-space barrier method are twofold. First, in the full-space the stress constraints are provably concave, which facilitates the construction of convex subproblems within the optimization algorithm. Second, by using the full-spa...

The presumed diiculty of computing discrete logarithms in nite elds is the basis of several popular public key cryptosystems. The secure identiication option of the Sun Network File System, for example, uses discrete logarithms in a eld GF(p) with p a prime of 192 bits. This paper describes an implementation of a discrete logarithm algorithm which shows that primes of under 200 bits, such as th...

For the Fermi-Pasta-Ulam chain, an effective Hamiltonian is constructed, describing the motion of approximate, weakly localized discrete breathers traveling along the chain. The velocity of these moving and localized vibrations can be estimated analytically as the group velocity of the corresponding wave packet. The Peierls-Nabarro barrier is estimated for strongly localized discrete breathers.

These notes survey some aspects of discrete-time chaotic calculus and its applications, based on the chaos representation property for i.i.d. sequences of random variables. The topics covered include the Clark formula and predictable representation, anticipating calculus, covariance identities and functional inequalities (such as deviation and logarithmic Sobolev inequalities), and an applicati...

introduction: irritable bowel syndrome (ibs) is a common gastrointestinal disorder in children that may lead to anxiety, frequent physician visits and school absenteeism. the aim of this study is to reviewe effects of probiotic for irritable bowel syndrome.   materials and methods: this study review articles about probiotic for irritable bowel syndrome in pubmed and google scholar.   results: m...

Dear Author Please address all the numbered queries on this page which are clearly identified on the proof for your convenience. Query number Query 1 Please note that the reference Whaley (1981) and (1982) are not cited in the text. 2 Please note that we have retained Tian-Shyr Dai as the corresponding author as per the cats mail. So please check it. 15 Pricing options on a stock that pays disc...