必要条件

In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.

在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。

Cosmetology costumes are doing a necessary condition for a woman is not necessary and sufficient conditions.

服饰美容是做好一个女人的必要条件，不是充要条件。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

The first is to build the legal anti-commercial bribery important line of defense, crack down on commercial bribery.

严格的法律，成熟的市场机制，全面打击的氛围，是使其危害降低到最小的必要条件。

We will call the construction a crossed product. The results about the sufficient and necessary conditions for A#H, the smash product, to have finite global homological dimension have been discussed in ~WYZ. which will be extended to crossed prodcut A#a.

关于smash积有有限整体同调维数的充分必要条件这一结果在中已有了一定的讨论，本文主要是将关于smash积的这一结果推广到crossed积。

This brief review of the method of necessary and sufficient conditions or, less cumbersomely, the essential definition approach to analysing concepts, is intended to give you some idea of what is meant by the phrase "analysing concepts."

对"必要条件和充分条件方法"的这个简短的议论，用不这么拖泥带水的说法来说，就是关于概念分析的"本质定义法"。关于"概念分析"这个短语是什么意思，这个方法意在为你提供一些了解。

Under the circumstance of satisfying the two necessary conditions of late-developing advantages, the potential advantage can be transformed into the motive force of development to propel the society forward and reduce the development gap between the early-developing countries. The process is a closed circle of damped oscillation. It can only turn into increasing oscillation circle with the consistent innovation and breakthrough so that the backward countries can exceed the early-developing countries.

潜在的后发优势在满足后发优势发挥作用的两个必要条件的情况下可转变为发展动力，推动社会向前发展，缩小与先发国家之间的发展差距，这一个过程是一个减幅振荡的闭路循环，只有在引进、消化的基础上不断创新、突破，才能打破单纯由后发优势导致的减幅振荡闭路循环，进入增幅振荡循环，后发国家才有可能超过先发国家。

Not so at the European Central Bank, where doctorates in economics are almost de rigueur.

而欧洲央行的情况却并非如此--拥有经济学博士头衔几乎成了必要条件。

Then, the necessary conditions for testing non-redundancy and predigestion and the analysis of loseless decomposability are discussed.

给出了与或图数据库的定义、规范化理论、无冗余和既约化理论，证明了它与关系数据库的等价性；然后给出了依赖集存在冗余和既约的必要条件，讨论了无损分解在与或图形式下的特性，从而形成了与或图数据库关系模式分解的规范化算法。

Using the knowledge related to multivalued analysis, we get the sufficient and necessary conditions for a decomposable set having inner points in L∞.

利用集值分析的相关知识，我们得出了L∞中可分解集含有内点的充分必要条件。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。