Cauchy inequality
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网络 柯西不等式
双语例句
- In 《 Advanced Mathematics 》, Cauchy inequality is important and have widespread applications and various forms.
柯西不等式是《高等代数》中一个重要而用途广泛的不等式，有多种表现形式。 - In this paper, the authors give two propositions to find the conditional extremes of multivariable functions by using simple forms of Cauchy inequality.
给出了利用简单形式的柯西不等式求两类特殊多元函数条极值的两个命题。 - By using Cauchy inequality and power mean inequality, a corrected power generalization of circular inequality and its dual generalization are studied, and the applications of the generalized conclusions are given.
利用Cauchy不等式和幂平均不等式，研究了循环不等式的校正加权推广及其对偶推广，给出了推广结果的应用。 - On the equivalence of the Hoder inequality and the Cauchy inequality
Hoder不等式与Cauchy不等式的等价性 - Applying the De Caen's inequality of sum of the squares of the degree and Cauchy's inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph.
利用图度平方和的DeCaen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界； - Enhancement and Extension of Reverse Cauchy Integral Inequality
反向Cauchy积分不等式的加强与推广 - Cauchy Inequality and the Proof of Harnack Inequality
Cauchy不等式与Harnack不等式的证明 - With the introduction of the Gronwall inequality and its generalization, this paper discusses the Cauchy initial value problems for the fist-order ordinary differential equation with them.
本文介绍了Gronwall不等式及其推广，并将其应用于一阶常微分方程Cauchy初值问题的研究。 - Study on Proof and Application of Cauchy Inequality
柯西不等式的证明及应用研究 - The Meaning in Geometry of Cauchy Inequality
Cauchy不等式的几何意义 - 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。 - Teaching Value of Cauchy Inequality
柯西不等式的教学价值 - Cauchy Inequality and Its applications
柯西（Cauchy）不等式及其应用 - Elementary application of Cauchy inequality
柯西不等式的初等应用 - 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。 - A Countable Infinite Extension on Cauchy Inequality
Cauchy不等式的可数无穷推广 - Deductions of Index Number and Integral of Cauchy Inequality
Cauchy不等式的指数和积分推广 - This paper puts forward some inequalities in relation to the trace of arbitrary infinite complex matrices, which extend to anti-Hermitian matrices and Cauchy inequality and embody the results in paper 〔 1 〕,〔 2 〕, and 〔 3 〕 as corollaries.
本文给出了关于任意n阶复矩阵迹的几个不等式，作为它的推论，包括了文[1,2]中相应的内容，并拓广到反厄米特矩阵和Cauchy不等式。 - 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。 - The higher dimensional generalization of Jensen 'inequality is established, As by-products, a series of different function inequalities on m-dimensional space are obtained which extend the A-G mean inequality and Cauchy's inequality.
将琴生（Jensen）不等式作了高维推广，并由它得到了m维空间的一系列不同类型的函数不等式，它们是算术&几何平均值不等式、柯西不等式的联合推广。 - The reverse on Cauchy inequality
关于柯西不等式的逆转 - Cauchy Inequality under the Restricted Condition of the Variables
变量限制条件下的柯西不等式 - Based on the theory of naturalist stucture, the inequality Cauchy-Schwarz a historic problem is analysed, studied and popularized. Besides the natural beauty of mathematical problem solving, thinking method of studying and discovering problems are explicitly illustrated.
以自然结构为理论依据，分析、研究及推广了历史名题Cauchy－Schwarz不等式，并简述了数学解题的自然审美观和研究问题及发现问题的思维方法。 - This article elaborates that it is the effective way for the primary solution of conditional extreme value to use methods of geometrical mean, Cauchy inequality, collating principal and optics principles.
阐述了利用几何平均值、柯西不等式排序原理及光学原理是解决条件极值的初等解法的有效方法。