公理

In section five, we study the applications of the octahedral axiom.

在第五节，我们讨论八面体公理的等价命题的应用。

Our main results are the equivalent propositions of the octahedral axiom and applications.

本学位论文主要研究三角范畴定义中八面体公理的等价命题及其应用。

It is an oft repeated axiom that money cannot buy happiness.

这是一个经常反复公理说，金钱不能买到幸福。

This is a 3rd grade inference derived from Axiom of Physics, an ultimate conclusion of this new physical theory as well This new physical theory has discovered an physical existence which has scale of one dimensional space of 10^-67 m around at present , it remits a sort of radiation which is exactly that of CMBR and purely made of information.

这是物理学公理的三级推论，也是这个新物理学理论的最终结论。这个新物理理论揭示出一个物理实在，这个物理实在目前的一维空间尺度目前在10^-67m 数量级，它在真空中的辐射是宇宙微波背景辐射。它全部由信息组成。

Were this to happen, then the assumption of their parallel axiom would be invalid.

如果这一情况发生，他们的平行公理假设便会不正确。

Since he recommended to his son that he take up the problem of the parallel axiom, he almost certainly retailed what he knew.

因为他要他的儿子继续研究他所从事的平行公理的工作，所以几乎可以肯定他会把自己所知道的一切传给他的儿子的。

The fifth-century commentator Proclus was very explicit about his objection to the parallel axiom.

第五世纪评论家Proclus非常明显地反对平行公理。

Say for example, when discussing on parallel axiom, which is "given a point and a line on a plane, there exists a unique line on the plan that passes through the point and is parallel to the line", if we change the axiom as "there is not any or there are infinitely many lines that will pass through the point and be parallel to the line", then we have two kinds of non-Euclidian geometry.

就像对于平行公理的讨论一样，干脆规定：过已知直线外一个固定点可以作无数条与已知直线平行的直线；或者过已知直线外一个固定点的任何直线都不能与已知直线平行；这样还产生了两个版本的非欧几何。

The payoff function v thus defined is proved to have supperadditivity,and the Shapley value so defined proved to satisfy axioms such as efficiency,symmetry,dummy and additivity.The fuzzy Shapley value method for profit allocation in enterprise coalitions was thus given by examples.

并证明了支付函数v具有超可加性，以及Shapley值满足有效性、对称性、哑元性与可加性的公理体系，实例证明了企业联盟收益分配的模糊Shapley值方法。

Pneuma upon him, and he shall show judgment to the Gentiles.

我的仆人，我所拣选，所亲爱，心里所喜悦的，我要将我的圣灵赐给他；他必将公理传给外邦。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐