查询词典 if and only if

Two states are equivalent under LUT if and only if they have the same values of all these invariants.

然而，随着子系统的增加，不变量的个数迅速增长。

It is well-known that for f with compact support in [66] Stein proved that: M G ∈~L~1 for any measurable set E of finite measure if and only if f ∈ L ln~+ L.

当f有紧支集时，关于它的极大函数的可积性Stein在[66]有个著名的结果：对任意有限测度集E，M∈L~1当且仅当f∈Lln~+L。

We prove that the two families of torsal surfaces of $T$ touch the second focal surface $S_2$ along the net of orthogonal parametric curves if and only if $S_1$ is developable.

证明了$T$的两个可展曲面族沿着第二个焦曲面$S_2$的正交曲线网相交的充要条件是$S_1$是可展曲面。

But the ruled surfaces in R^3 or R(superscript 3 subscript 1) have vanishing Gauss curvature if and only if they are developable.

这与低维情形绝然不同，在R^3或R(上标 3 下标 1)中只有当直纹面是可展时，高斯曲率才为0。

Furthermore, it has been proved that gis standard if and only if any integrable highest weight module of g is irreducible.

证明了g是典范的当且仅当g的任一可积最高权模不可约(定理2.3)。

It is proved that a wrpp semigroup satisfies a permutation identity if and only if it satisfies the identity xyzw= xzyw.

证明了wrpp半群满足置换恒等式当且仅当它满足恒等式xyzw=xzyw。

You can achieve anything you desire IF and only IF, what you desire is part of life's greater plan for you.

您可以实现任何你希望的当且仅当，你的愿望是生活的一部分的更大计划的你。

It is proved that a function is Riemann integrable if and only if it is continuous almost everywhere.

证明了函数可积的充要条件是该函数几乎处处连续。

Last but not least, while happens to be an ordered group, the paper gets the conclu-sion that Ωexists a largest closed θ-invariant proper subset if and only if there exists a smallestsemigroup of G strictly containing G_+.

当是一个序群时，文章得到结论：Ω存在最大θ-不变闭的真子集当且仅当存在一个严格包含G_+的G的最小半群。

In chapter 2, we prove that an abundant semigroup satisfying the regularity is a locally E-solid semigroup if and only if it is an E-local isomorphic image of some abundant Rees matrix semigroup AM over an E-solid abundant semigroup with entries of the sandwich matrix P being regular elements of T.

第二章，我们证明了满足正则性条件的富足半群是局部E-solid(quasi-adequate，R~*-unipotent)半群当且仅当它是某个富足Rees矩阵半群RM的E-local同构像，其中sandwich矩阵的P元素是T中的正则元。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。