基本解释：绝对不等式
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For proving two absolute inequalities, three methods of differentiation are given while various methods of elementary proving are rejected.对两个绝对不等式 ,摒弃各种初等证法 ,给出微分的 3种方法进行论证 。
The paper thoroughly analyzes three mathematical types of the Class-I Parameter scope of the inequation of absolute value,provides many kinds of solutions to them,and gives a summary of the general principles and methods to solve these problems.本文就含绝对值不等式的一类参数范围问题中常见的三种情况进行了详尽的分析,并给出了多种解法,总结了解决这类问题的一般规律和方法。
Applications of power circular inequality and its dual inequality;加权循环不等式与其对偶不等式及其应用
Proof of Some Important Inequalities by Using Wei-Wei Dual Inequality;利用微微对偶不等式证明几个重要不等式
The Dual Law of Gerresten′s Inequalities;Gerretsen不等式的对偶律
The generalization of a dual J.M.Child inequality;J.M.Child不等式的对偶推广
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 New Equalities and Inequalities for G-Frames and Their Dual FramesG-框架及其对偶框架的一些等式和不等式
The Duality and Generalization of Arranging Sequence Theorem and Chebyshev Inequality;排序定理和Chebyshev不等式的对偶及其推广
Refinement of dual Hardy-Hilbert type inequalities with parameters带参数的对偶Hardy-Hilbert型不等式的改进
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
Summary on direct methods of large scale system;用对偶原理证明线性不等式组的解的存在性
The affine quermassintegrals inequalities about the mixed intersection body混合相交体的对偶仿射均质积分不等式
A Strongly Sub-Feasible Primal-Dual Interior Point Algorithm for Nonlinear Inequality Constrained Optimization;非线性不等式约束优化的强次可行原始对偶内点算法
an unhappy coincidence, chance, etc不幸的巧合、 偶然事故等
The Nonexistence for Eventually Positive Solutions of Even Order Neutral Type Functional Differential Inequality偶阶中立型泛函微分不等式最终正解的不存在性
The nonexistence for eventually positive solutions of even order neutral delay differential inequality偶阶中立型分布时滞不等式最终正解的不存在性
hypomorphic allele次等位因素对偶基因
Optimality Conditions and Duality for a Class of Nondifferentiable Generalized Fractional Programming;一类不可微广义分式规划的最优性条件和对偶
As can be seen by reference to Eq. (4.1. 3), a couple has the same moment about all points.正如依据式（4．1．3）可看到的那样，力偶对所有点之矩都是相等的。
