查询词典 infinitesimal operators

In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified,thus,this theorem is easy to operate.

对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。

Ether particles also are the media of electric field, between the opposite charge Ether particles in infinitesimal distance the rule of attracting is not meet the Coulomb's law, the strong interaction is the special situation of the electric field in the infinitesimal distance, it is not a new interaction.

以太是电场的介质，相反电荷在极小距离上产生的吸引作用并不满足库仑定律，所谓的强相互作用是电场极小距离时的特殊情况，并不是一种特殊的作用。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

This result shows that if the image of the Gauss map of an evolution convex surface with planar boundary covers some hemisphere, such a surface maybe be of infinitesimal nonrigidity for the isometric infinitesimal deformation of planar boundary.

这个结果表明如果带平面边界的凸旋转曲面的Gauss映照像覆盖了某个半球，这曲面对于保持平面边界的无穷小等距形变来说可能是非无穷小刚的。

The micro-indentation results show that both theories for finite and infinitesimal deformation agree well with experimental data by suitably chosen material lengths. The results for fracture show that the difference between finite and infinitesimal deformation only exists in the vicinity very close to crack tip.

结果显示通过改变材料常数大变形和小变形都可以和微压痕实验结果吻合好，大小变形理论在断裂问题上的区别仅仅存在于非常靠近裂纹尖端处。

According to [2], we know that if X is a reflexive Banach space and T is a strongly continuous semigroup on X with the infinitesimal generator A, then the adjoint semigroup T~* is also a strongly continuous semigroup on X* and its infinitesimal generator is A~*, the ajoint operator of A.

由文献[2]我们知道，如果X是一自反Banach空间，那么X上强连续半群T的对偶半群T~*也是X~*上的强连续半群，并且其无穷小生成元为半群T的无穷小生成元的对偶。

In chapter 1, as a preparative knowledge, the main results about symmetry theoryand Wus method are introduced, in addition some fundamental definitions, such as trans-formation group, infinitesimal operator, prolongation, first integral, infinitesimal criterionfbr invariance of an ODE, characteristic set are recalled.

第一章中作为预备知识简单介绍了对称理论和吴方法，并给出了一些基本概念和理论，如变换群、无穷小算子、算子延拓、首次积分、微分方程在对称下不变的判别准则和微分特征列集算法。

We do not know why living, but, we also do not think to die because of own infinitesimal, again the infinitesimal life also has its right that exist.

我们不知道为什么生，但是，我们也不想因为自己的渺小而死，再渺小的生命也有它存在的权利。

Secondly, by introducing the generators of the infinitesimal transformations of Jourdain, the Noether′s theorem for the above nonholonomic systems of variable mass in event space has been obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group.

这一成果揭示了力学系统的守恒量和其内在的对称性的关系，极大地推动了力学、物理学的发展。在近20年来，国内外的许多学者相继对Noether定理做了多方面的推广，不但用Hamilton作用量而且用微分变分原理研究完整和非完整系统的守恒律。

The Non-Archimedean infinitesimal is larger than 0 and smaller than any positive real number. Among those scholars who believe the existence, some hold the Non-Archimedean infinitesimal can be given a specific value when solving a DEA model and others do not.

非阿基米德无穷小量大于0且小于任何正实数，在求解含非阿基米德无穷小量DEA模型时，可否对非阿基米德无穷小量赋予具体的实数值，肯定派又分为两个分支，一个分支认为可以，另一个分支认为不可以。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。