查询词典 rigidity theorem

By applying the tools such as modulus of curves and rings, together with Rohde s theorem, it proves that a homeomorphism is a bi Lipschitz map if and only if it satisfies a logarithmically absolute value inequality of rings.

运用曲线族的模和环模等工具，结合 Rohde定理，证明同胚为双 Lipschitz映射的充要条件是：它适合环的对数绝对值不等式；还得到了同胚为拟共形映射的一个充分条件。

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

At first, calculate the missile passageway and the joined launching stand and the missile weapon system processing preparatory degrees; next, seek the probability according to the binomial disperse in probability outline, and the un-interlined theorem of probability addition; finally get the whole weapon system processing preparatory degrees.

两种模型均先求得由任一导弹通道及其相连的发射装置、导弹系统作战准备度，再根据概率论中的二项式分布及互不相容的概率加法定理，求得其概率，最后得出整个武器系统作战准备度。

We call this the theorem of addition of velocities.

我们把这个称为速度的合成。

For lack of the conception of passage conditions, is confused with "addition theorem of probabilities".

由于没有引进"通道条件"，人们混淆了"概率的迭加假定"和"概率的加法定理"两个命题。

In the first case the speed of boat would be added to the muzzle speed of the bullet, and in the later it would be subtracted-again in accordance with the theorem for the addition of velocity.

在第一种情况下，船的速度将和子弹的出膛速度相加，在后一种情况下，它是相减-再次与速度的合成定理相一致。

In addition the structure theorem of the Hopf module is generalized to the Hopf algebroid.

最后，将Hopf模的结构定理推广到Hopf代数胚上。

It seems, however, that, since the constancy of the velocity of light is an experimental observation, the resulting velocity in our case must be smaller than we expect-the classical theorem for the addition of velocities must be wrong.

然而，由于光速的恒定是实验的观察结果，看起来，在我们案例中的合成速度必须比我们猜想的小-速度叠加的经典公式肯定错了。

Seidel aberration sums of such a system were derived based on the addition theorem.

由初级像差加和定理推导了适合于这种系统的赛德尔和数公式，并指出了寻找消赛德尔像差的平板透镜系统的方法。

In addition,a theorem for the convergence of detection of target contrail by this algorithm is given and proved so as to afford a solid guarantee for practical applications of the algorithm proposed in this paper.

文中给出并证明应用本算法能以概率1检测到运动点目标的收敛性定理。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。