CONTENTS ContentsofBasic Algebra x Preface xi List of Figures xv Dependence amongChapters xvi Guide forthe Reader xvii Notation and Terminology xxi I. TRANSITIONTO MODERNNUMBERTHEORY 1 1. Historical Background 1 2. Quadratic Reciprocity 8 3. Equival
It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenom
The equivalence between uniqueness and continuous dependence of solution for BDSDEs with continuous coefficient，朱庆峰，石玉峰，In this paper, we will prove that, if the coefficient f=f(t,y,z) of backward doubly
stochastic differential equations (BDSDEs for
The equivalence of the modulation transfer function (MTF) of a turbid medium and the transmitted radiance from the medium under isotropic diffuse illumination is demonstrated. MTF of a turbid medium can be fully evaluated by numerically solving a rad
We propose a novel scheme for a space free-fall based test of the new equivalence principle (NEP) with two rotating extended bodies made of the same material. The measurement will be carried out by placing the two concentric spinning masses of very d
The isomorphism of polynomials (IP), one of the hard problems in multivariate public key cryptography induces an equivalence relation on a set of systems of polynomials. Then the enumeration problem of IP consists of counting the numbers of different
The Isomorphism of Polynomials (IP) is one of the most fundamental problems in multivariate public key cryptography (MPKC). In this paper, we introduce a new framework to study the counting problem associated to IP. Namely, we present tools of finite
