运算法则

I did the calculation by the rule of three.

我是根据比例运算法则计算出来的。

The trick about floating point numbers is that although they are extremely useful for representing real-life quantities, operations on them do not obey the arithmetic rules we learned in middle school: associativity, transitivity, commutativity; moreover, many very ordinary-seeming numbers can be represented only approximately with floating point numbers.

For example：有关浮点数的诀窍是，尽管他们是用来代表我们生活中的数，但操作却不符合我们从中学学到的运算法则：结合律，交换律等等，另外许多时候浮点数只是近似值。

Two new rules represented in equality for Demyanov difference: the Demyanov difference of summations of two pairs of convex compact complementary sets;the Demyanov difference of a set, which is the convex hull of finite number of convex compact sets, and a convex compact set complementary to these sets,are given.

为此给出了两个关于Demyanov差的新的用等式表述的运算法则：两个彼此互补的凸紧集对的和的Demyanov差，有限个凸紧集的凸包和与这些凸紧集正交互补的凸紧集的Demyanov差。

Ranging from simple fixed-format reports to sophisticated analytics with complex embedded algorithms and domain expertise.

从简单的固定格式的报告到由复杂深入的运算法则和专门的函数定义域组成的深奥的解析。。。

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。

Various treatises on mathematics were authored by Indian mathematicians in which were set forth for the first time, the concept of zero, the techniques of algebra and algorithm, square root and cube root .

在公元前1000年至公元1000年之间，由印度数学家所写的各种数学论文首次阐明了出来，零的概念，代数和运算法则的技巧，平方根与立方根都阐明了出来。

Between 1000 B.C. and 1000 A.D. various treatises on mathematics were authored by Indian mathematicians in which were set forth for the first time, the concept of zero, the techniques of algebra and algorithm, square root and cube root.

在公元前1000年至公元1000年之间，由印度数学家所写的各种数学论文首次阐明了出来，零的概念，代数和运算法则的技巧，平方根与立方根都阐明了出来。

"Our commitment is to offer the most advanced image analysis systems to assist the pathologist and cytogeneticist in classifying and counting cells of interest, utilizing our advanced algorithms for both brightfield and fluorescent scanning," noted Opher Shapira, president and CEO of BioView.

BioView总裁兼首席执行官Opher Shapira指出：我们的承诺是提供最先进的图像分析系统，用以帮助病理学家和细胞发生学家，通过使用我们的高级运算法则，在光学视野和荧光扫描图像之中，对感兴趣的细胞进行分类和计数。

We can therefore conclude that to more accurately and logically verify the numerical dispersion relations of any kinds of FDTD-related algorithms, the plane wave excitation has to be employed.

我们能因此得出结论到更正确而且合乎逻辑地查证任何类型 FDTD-相关的运算法则的数字散布关系，平的波刺激必须被雇用。

Furthermore, predetermined algorithms that suggest replacementof third space losses and losses through diuresis are unnecessary.

而且，建议补充第三间隙丢失和利尿丢失的预定运算法则是不必要的。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。