Euler's identity

On the subject of the Euler Inequality R≥2r, the thesis puts forward a demonstration on its extension in the three-dimensional field by means of geometry and the trigonometric formulas.

就欧拉不等式R≥2r问题,运用几何知识和三角公式对其在三维空间上的推广,给出了一种证明方法。

The equality of KKT point and L-KKT mulitiplier as well as the optimization of the problem(HOP)and(■)are achieved by the generalized Euler identity.

文章给出了Asplund空间上齐次函数的广义欧拉等式并讨论了它的应用,利用广义欧拉等式得到了优化问题(HOP)和(■)的KKT-点和L-KKT-乘子的等价性。

Seven proving methods for Cauchy Inequality are introduced in this paper,including: method of completing square,constructing quadratic trinomial,the positive definiteness of binary binomial,Lagrange identical equation,mathematical induction and arithmetic mean-geometric mean inequality.

利用配方法、构造二次三项式、二元二次型的正定性、拉格朗日恒等式、行列式性质、数学归纳法以及算术平均-几何平均不等式等7种方法给出了柯西不等式的7种证法。

The Application of Generalized Euler Identity in Mathmatical Programming

广义欧拉等式在数学规划问题中的应用

A calculus method of calculating generalized n-th-order Euler′s polynomial and generalized n-th-order Bernoulli′s polunomial

求广义高阶欧拉多项式与广义高阶伯努利多项式的微积分方法

Spreading of Euler Formula on Indifferential Homogeneous Functions;

欧拉公式在不可微齐次函数中的推广

generalized Chebyshev intequality

广义切贝雪夫不等式

Generalized f-projection for Generalized Variational Inequality

广义变分不等式的广义f-投影算法

THE GENERALIZED VECTOR VARIATIONAL INEQUALITIES AND THE GENERALIZED DUAL MODELS

广义向量变分不等式和广义对偶模型

Extensions of Child Inequality for n-dimensional Simplex in E~n

n维欧氏空间E~n中Child不等式的推广

Some Identities Involving Bernoulli Polynomials and Euler Polynomials

关于贝努利多项式与欧拉多项式的几个恒等式

Forward Dynamics Analysis of Spatial Parallel Mechanisms Based on the Newton-Euler Method with Generalized Coordinates

基于广义坐标形式牛顿-欧拉方法的空间并联机构动力学正问题分析

Equivalence of Two Identities Involving Eulerian Numbers

两个包含欧拉数的恒等式的等价性(英文)

Some Identities Involving Bernoulli Polynomials and Euler Number

关于贝努利多项式与欧拉数的几个恒等式

Generalized Gap Functions and Error Bounds for Generalized Variational Inequalities

广义变分不等式的广义间隙函数和误差界

The Generalized Minkowski Inequalities of Determinant for Complex Positive Definite Matrix;

复正定矩阵行列式的广义Minkowski不等式

To Generalize Weighted Heron Mean Inequality and Its Dual Form;

广义加权Heron平均不等式及其对偶形式

Some identities involving generalized Euler-Bernoulli polynomials

几个有关广义Euler-Bernoulli多项式的恒等式

Pricing of Basket Options Based on Generalized European Weighting Arithmetic Average Price;

广义欧式加权算术平均价格一揽子期权定价

Bellman inequalities of generalized matrix trace

广义矩阵迹的贝尔曼不等式(英文)

Existence of Solutions and Algorithms for Generalized Variational-like Inequalities;

广义似变分不等式解的存在性和算法