很容易构造一个不服从三角形不等式的例子。
It is easy to construct an example which disproves the property of triangle inequality.
无约束优化问题的共轭梯度路径构造的思想启迪我们用其来解带线性等式约束和有界变量约束的优化问题。
The idea of conjugate gradient path in unconstrained optimization irradiates us to use this method for solving the linear equality optimization subject to bounds on variables.
将会话密钥s分解成S1与S2之和。在大整数分解困难问题的条件下，构造特殊等式来解密s1(方案1)。
The session key s is divided into the sum of S1 and S2. Under the condition of a large integer factoring problem, S1 is decrypted by constructing a special equation (scheme 1).
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of.
论文用两种方法给出了广义超立方体网络宽直径的具体证明，而两种方法的主要区别在于分别采用数学归纳法和直接构造法证明了不等式(1)。
In this paper, the wide-diameter of generalized hypercube is proved in two ways whose difference is to use mathematical induction and constructing method to prove the inequation (1).
利用数形结合的思想为不等式构造解析几何模型，并加以推广。
This article structures and extends an analytic geometry model for a inequation based on combining Numbers and shapes.
本文给出关于单形极集的两个几何不等式，作为其应用·获得单形的一个构造定理和关于单形中面的一个几何不等式。
As its applications, we obtained a construction theorem about a simplex and a geometric inequality about middle sections of a simplex.
通过归纳类比方法和构造性方法，确定了这两种基本方法是解决这一类解析不等式的有效手段。
It is concluded that the induction analogy and constructive methods are good methods for solving the analytic inequality.
本文通过构造向量，将向量的内积的性质运用于不等式的证明中，使得一些不等式的证明更加简捷。
A property of inner product is used for proving inequalities by constructing some spacial vectors, it can simplify the processes of the proof.
在研究广义变分不等式问题时，方法之一是构造一系列辅助问题来逼近原问题的解，即辅助原理技术；
When generalized variational inequality problem is studied, one method called auxiliary principle is to construct a series of auxiliary problems to approximate the original solution;
利用线性矩阵不等式（LMI）给出了时滞区间广义系统广义二次能稳定的充分必要条件和控制器的构造方法。
Necessary and sufficient condition for the generalized quadratic stabilization is derived by solving LMIs, and the required state feedback controller is also constructed.
然后，利用辅助原理技巧，构造了求解广义非线性混合拟似变分不等式问题的迭代算法。
So, in chapter 3, we consider how to use predictor-corrector algorithm to solve some variational inequalities.
然后，利用辅助原理技巧，构造了求解广义非线性混合拟似变分不等式问题的迭代算法。
So, in chapter 3, we consider how to use predictor-corrector algorithm to solve some variational inequalities.
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