infinity 无限的 plus and minus 加减法 the imaginary unit 复数单位i Complex exponential 复指数 intergral power and root 整数幂和根 Complex logarithm 复对数 some Basic Notions of Set Theory 集合论的一些基本概念 Orderd pairs 有序偶 Cartesian product of two sets 笛卡尔积 Futher terminology concerning ...
摘要: The set of real numbers, whose existence is taken for granted, is described as an ordered field that satisfies the Least Upper Bound Axiom. Complex numbers are introduced, and their basic algebraic properties are discussed. The argument of a complex number is, however, left until later....
The set of real numbers, whose existence is taken for granted, is described as an ordered field that satisfies the Least Upper Bound Axiom. Complex numbers are introduced, and their basic algebraic properties are discussed. The argument of a complex number is, however, left until later....
If E \subset S , E is not empty, and E is bounded above, then \sup E exists in S . Schwarz inequality |\sum_{j=1}^na_j\bar b_j|^2 \leq (\sum_{j=1}^n|a_j|^2)(\sum_{j=1}^n|b_j|^2) a_1,..,a_2;b_1,..,b_n are complex numbers ...
4 New sum-product estimates for real and complex numbers A variation on the sum-product problem seeks to show that a set which is defined by additive and multiplicative operations will always be large. In this pa... A Balog,O Roche-Newton 被引量: 0发表: 2014年 New quantitative estimates...
We here try to describe both generalizing the principle of real and imaginary parts from complex numbers to all objects. The imaginary and the reality intervene in the mathematics, the artistic creation and more widely in any individual or collective process of creation. This is essentially a ...
Error propagation calculator and library for physical measurements. It supports real and complex numbers with uncertainty, arbitrary precision calculations, operations with arrays, and numerical integration. - JuliaPhysics/Measurements.jl
The book is divided into three parts: The first part provides an extensive introduction and then proves the fundamental NP-completeness theorems of Cook-Karp and their extensions to more general number fields as the real and complex numbers. The later parts of the book develop a formal theory ...
Brief introduction of complex numbers as elements of a vector space makes possible to arrive smoothly at the very main notions of general topology: metric space and topological space. A presentation of Real Analysis begins in Chapter 3 "Sequences and their Limits". It goes up to the discussion...
complex number A number of the form a +bi, where a and b are real numbers and i2=-1( or equivalently, . A complex number is often denoted by a single letter,usually z,we write z=a+bi, where a=Rez(read:"the real part of z") and b=Im z ("the imaginary part of z").If...