举例说明

In this paper, we study the existence of at least one or two positive solutions to the two different kinds of nth multipoint boundary value problem.

在该结论的基础上，又给出并证明了四个推论。最后，我们举例说明这些结论的应用。

I tell you this story by way of illustration.

我告诉你这个情况是为了举例说明问题。

The use of the new, innovative AMG high-performance composite brakes with twin sliding callipers at the front further illustrates the unique technological prowess of the powerful AMG Saloon.

新又创新的 AMG 高表现的使用合成物在前面以双胞胎的滑弯脚规刹更进一步举例说明有力的 AMG 大厅的独特科技英勇。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational ,basic , differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality and Minkowski inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式和闵可夫斯基不等式以及这几个不等式的应用，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

The proposition and corollary are given on characteristic value of matrix AB and BA.

给出矩阵AB与BA的特征值有关命题和推论，并举例说明它们在求矩阵特征值和有关证明题中的应用。

Below illustrate clapboard has spherule routine in the box of requirement of magical function.1 of the law in group 1 12 identical spherule put number for 1, 2, 3, in the box of 4, is what there is a spherule at least in asking every box different put a law how to many kinds there are?

下面举例说明隔板分组法的妙用。1 要求盒子中都有小球例1 把12个相同的小球放入编号为1，2，3，4的盒子中，问每个盒子中至少有1个小球的不同放法有多少种？

The continuity of integrand on closed interval is the important condition for the validity of Newton-Leibniz formula .

被积函数在闭区间上连续是牛顿-莱布尼兹公式成立的重要条件，通过削弱该条件使牛顿-莱布尼兹公式的应用范围得到了推广，并举例说明。

The example of MassMEDIC, an association formed in I996 by the Massachusetts medical-devices cluster, illustrates this point.

MassMEDIC 的例子，在我形成的协会 996 被麻萨诸塞州医生-装置群，举例说明这点。

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。