推广

Instead of Gronwall\'s inequality,the non-linear Bihari inequality is crutial in dealing with the non-Lipschitz equations.Moreover,we emphasize that the dominating functions in non-Lipschitz conditions always satisfy concavity and some non-integrability near zero.The concavity is for using Jensen\'s inequality.Because of the non-integrability near zero,we can apply the comparison theorem of ordinary differential equations together with Bihari\'s inequality to yield many results.

3作为Gronwall不等式的推广，Bihari不等式在处理具有非Lipschitz系数的方程时不可或缺；同时应当注意，非Lipschitz条件中所涉及的控制函数总是满足凹性和某种零点处的不可积性：凹性是为了利用Jensen不等式；零点处的不可积性使得Bihari不等式与常微分方程中的比较定理结合在一起从而完成很多结论的证明。

It can be extended to solve partial differential equations with higher order such as KdV equations and biharmonic equations.

该方法可以推广到更高阶的方程，如Korteweg-de Vries方程、重调和方程等。

Editor: The program of website of education learning billow and later how is optimizing promotion problem solved?

编辑：学浪教育网站的程序以及后来的优化推广问题都是怎么解决的？

Extending the model to binary compound, an equation of state for double-component phospholipid monolayers was derived.

将上述状态方程推广到二元混合物，导出了双组分磷脂单分子膜的状态方程模型。

Meanwhile, I have generalized the concept of trinomial property of sequence from binary case to arbitrary finite field case, and have proved that all the results in binary case are still hold in arbitrary finite field case.

同时，本文将三项式对的概念从二元序列推广到任意有限域上的序列，并证明了对二元序列成立的所有结果对一般有限域上的序列仍然成立。

The first part of this thesis is basic on the generalized Hamming weights of linear codes over rings and arranged as follows: In section one, we first introduced the definition of generalized Hamming weights and weight hierarchy over binary field GF (2) and its extension to nonlinear codes over GF (2) and linear codes over rings.

本文的第一部分就是围绕环上线性码的广义Hamming重量这个课题展开的，主要内容如下：第一节，首先介绍了GF(2)上线性码的广义Hamming重量和重量分级的概念，以及这些概念是如何被推广至非线性码及环上的线性码上的。

A sequenced method in consideration of the sample range was proposed to rationally array classifiers of a support vector machine with binary tree architecture. A sample distribution radius and a sample distribution distance were introduced to estimate sample range of all classes in high-dimension characteristic space. The classes with bigger sample range were classified earlier in the higher nodal point of the binary tree architecture, and were given wider classificatory areas in the characteristic space.

考虑到样本的分布情况对分类器推广能力具有较大影响，提出一种次序二叉树支持向量机多类算法，采用样本分布半径和样本分布距离估算各个类别的样本在高维特征空间中的分布情况，把分布半径较大的类别或者分布距离较大的类别较早地分出来，并且在特征空间中给其划分较大的分类区域。

At the same time, it introduced the form of a binomial distribution --- a number of promotional distribution, which is a typical form in the distributed multi-dimensional discrete random variables and it's widely used in engineering and technology.

同时介绍了二项分布的一种推广形式---多项分布，该分布是多维离散型随机变量中的典型形式，在工程技术中有广泛的应用。

Our goal is being the leader in the field of clinical and biochemical diagnostic.

我们致力于将国外的成熟技术和高端产品推广给高端的服务对象。

Mr Bush may even be able to extend this fashion for bipartisanship to foreign leaders.

布什甚至能将跨党合作的潮流推广给国外的领导人。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。