著名

Indeed, from monumental sources we know that the symbolic fish was familiar to Christians long before the famous Alexandrian was born; in such Roman monuments as the Capella Greca and the Sacrament Chapels of the catacomb of St. Callistus, the fish was depicted as a symbol in the first decades of the second century.

的确，从不朽的来源，我们知道，象徵性鱼类熟悉的基督徒早在著名的亚历山大出生，在这种罗马古迹作为capella greca和圣餐教堂的catacomb圣callistus ，鱼被描绘成为一个象徵在第一个十年的第二个世纪。

The most popular alternative to catastrophism is the gradualistic approach.

最著名的灾变论的对立理论就是渐变论。

Who knew it would become The Terminator's most famous catchphrase?

终结者》的最著名的一幕是什么呢？

Everybody is familiar with Google's famous catchphrase,"Don't be evil."

大家都熟悉google那个著名的标语："不要做恶"，这已经成了硅谷简短的象征。

I want to see the famous St . Peter 's Cathedral

我要看看著名的圣彼得大教堂

His paintings of familiar American landscapes such as the Hudson River and the Catskill Mountains became very well known and popular.

他的画熟悉的美国景观，如哈德森河和catskill山成为非常著名的和流行。

After an hour, now in deep country, it joins a conduit with a more prominent place in New York mythology: Route 17, the pathway to the Catskills.

一小时后，你就到了乡村深处，这里连接着一条通道和纽约传奇中一个非常著名的地方：17号公路(Route 17)，通往卡茨基尔之路。

This is the famous "Korea Rice Cake", 1000-1500 Korea Dollar per string, the using hot catsup is unusual.

这就是著名的"韩国年糕"。 1000-1500韩元一串。用的辣酱以前没吃到过。

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。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。