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Finally,we obtain the singular matrix Dirichlet andthe singular matrix Beta distribution,and the density functions of them are ob-tained.

最后，由退化矩阵Liouville分布构造了退化矩阵Dirichlet分布、退化矩阵Beta分布，得到了它们的密度函数的表达式。

Tubbs redefined the several common nonlinear functions of gray transform as a normalized Incomplete Beta Function, in order to realize image enhancement processing.

传统的图像增强处理是针对图像灰度分布的不同情况，来定义相应的灰度变换函数。

A betaine commonly occurring in the liver and in skeletal muscle that functions in fatty acid transport across mitochondrial membranes.

肉碱一种甜菜碱，通常出现在肝和骨骼肌里，在脂肪酸穿过线粒体膜的运输过程中起作用

In the author's opinion,the legislative tendency of secured interest ought to betaken into account in the designation of its functions.

作者认为，担保物权的立法定位，应当同担保物权的功能设计紧密结合起来。

A pair of bi -directional recursive functions are derived based on this codebook, which are used to drive the dual processors to operate parallelly and efficiently.

该编码器构造了一个结构化的高斯噪声码本，并利用由此导出的双向递推求加权滤波器响应的公式，实现了快速的码本搜索过程。

Objective:To examine the effects of bibliotherapy on relieving the symptoms and improving social functions in schizophrenics.

目的：探讨阅读疗法对住院精神分裂症患者的康复疗效。

Source medical images are decomposed into a number of bidimensional intrinsic mode functions as well as a residual image.

待融合的医学图像经过BEMD分解成二维的内蕴模函数(bidimensional intrinsic mode function，简称BIMF)和趋势图像。

In chapter 3, a new method that gives the universal unfolding of the bifurcation functions is established.

第三章以多项式理论为基础，创建了计算普适开折的多项式计算法。

MSN Space, as a blog net popular both at home and abroad, has powerful functions and bight future relying on the technological advantage and successful marketing strategy of Microsoft. Many people of Nankai University also use MSN Space.

MSN Space是目前国内和国外都有非常活跃的博客网站，提供的功能异常强大，而且依托于微软的强大技术实力和产品营销策略，必将在竞争激烈的市场上赢得一席之地，南开大学也有很多人在使用MSN Space。

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。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。