英语释义

1. a sequence of elements in a metric space such that for any positive number no matter how small there exists a term in the sequence for which the distance between any two terms beyond this term is less than the arbitrarily small number

片语

cauchy polynomialscauchy多项式

cauchy problem柯西问题

Cauchy product柯西乘积

Cauchy sequence[数] 柯西序列

Cauchy inequality柯西不等式

cauchy filter柯嗡子

Cauchy test柯西判别法

Cauchy law考契定律

Cauchy matrixIn mathematics, a Cauchy matrix, named after Augustin Louis Cauchy, is an m×n matrix with elements aij in the form

Cauchy horizonIn physics, a Cauchy horizon is a light-like boundary of the domain of validity of a Cauchy problem (a particular boundary value problem of the theory of partial differential equations). One side of the horizon contains closed space-like geodesics and the other side contains closed time-like geodesic

英汉例句

• The limit theory had progressively developed and finally improved from Newton and Leibniz to Bolzano, Cauchy and Weierstrass.

  从牛顿、莱布尼兹，直到波尔查诺、柯西与维尔斯特拉斯，极限理论经历了逐步发展直至最后完善的过程。

• The algorithm「s global searching ability is improved through Cauchy variation, and local searching ability is improved by Gauss variation.

  通过柯西变异，提高算法的全局搜索能力，通过高斯变异，提高算法的局部搜索能力。

• Cauchy Schwarz」s inequality is an applied mathematical formula with great value.

  柯西不等式是应用价值非常大的数学公式。

• In Chapter l, we introduce the background of the research of Cauchy problem and the main methods and results of 「differential」 regularization.

  第一章，我们阐述柯西问题的研究背景以及「微分」正则化的主要方法以及结果。

• We proved the intermediate value theorem for continuous function at closed interval by constructing auxiliary sequence ingeniously and applying compact theorem as well as Cauchy convergence criterion.

  通过巧妙地构造辅助数列，应用致密性定理、柯西收敛準则来证明闭区间上连续函数的介值性定理。

• The generalized Cauchy projection formula is frequently used in dealing with problems concerning geometric quantities.

  在处理关于这些几何量的问题时广义柯西投影公式经常被使用。

• The application widespread and flexibility of Cauchy inequality are show by the examples.

  并举例说明柯西不等式在不等式证明中应用的广泛性和灵活性。

• In the paper, we discusses the internal cause permeability and unity of Cauchy inequality in the different fields.

  本文讨论柯西不等式在不同领域的内通性、渗透性和统一性。

• A discussion on some characterized mapping conclusions similar to Cauchy integral theorem.

  讨论具有某种特征映射的类似柯西积分定理的结论。

• In this paper, we present the proofs of Lagrange Theory and Cauchy Theory. By this method we may determine coefficient.

  本文用待定系数法证明拉格朗日定理与柯西定理。

• The paper makes an analysis and inquiry about the differences among the Roue Theorem. Lagrange Thoorem and Cauchy Theorem.

  本文就罗尔定理、拉格朗日定理和柯西定理三者的区别与联系作了分析与探讨。

• This paper by introducing integral deals with the uniqueness and stability of solution of the Cauchy problem to a form of semi-linear parabolic equation.

  本文采用引进积分的方法讨论一类半线性抛物型方程柯西问题解的唯一性与稳定性。

• A study is made on Cauchy problem of compressible Eulers equations with relaxation term.

  研究具松弛项可压缩的欧拉方程组柯西问题。

• The analytical method is Cauchy integration for a infinite plate with semi-infinite crack.

  对具有半无限长裂纹的无限大板采用的分析方法是柯西积分。

• On the basis of these theories, Rolle mean value theorem, Lagrange mean value theorem and Cauchy mean value theorem are proved by constructing nested interval.

  在此基础上通过构造区间套依次证明了罗尔中值定理、拉格朗日中值定理和柯西中值定理。

• This paper introduces the proof and application of Cauchy mean-value theorem from many angles in every aspect.

  本文介绍了柯西中值定理的多种证明方法及其应用。

• At this Cauchy horizon, because of the centrifugal forces involved, particles slow down back to the speed of light.

  在柯西视界上，因为产生离心作用，粒子速度减慢，回到光速。

• The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.

  本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。