查询词典 if and only if

The result is that:(1) A right R-module M is right qpm-injective module if and only if for any s.t S = End with ker = ker, then Ss = St.

所得到的结果是：(1)右R-模M是右qpm-内射模当。

Coifman etc proved that the commutator T_f = f = T -bT is bounded on Lp if and only if b BMO, where T is a classical singular integral operator.

Coifman等人得到了交换子T_bf=f=T-bT在L~p(1＜p＜∞)上有界当且仅当b∈BMO，其中T是经典的奇异积分算子。C。

Coifman〓etc first proved that the comutator〓is bo-unded on〓if and only if b∈BMO,where T is a classical singular integr-al operator.

在〓上，Coifman等〓首先得到交换子〓上有界当且仅当〓，其中T是经典奇异积分算子。

Deduce that the columns of a square matrix are linearly independent if and only if the rows are.

推导若且唯若一方阵的列向量为线性无关，则其行向量为线性无关。

The fact that a fuzzy ideal of a BCI algebra is closed if and only if it is a fuzzy subalgebra is proved.

证明了BCI代数的一个Fuzzy理想是闭的，当且仅当它是一个Fuzzy子代数。

Using the dual characteristic pairs, we give the if and only if conditions for which a maximally isotropic subbundle of the double of a Jacobi bialgebroid is a Jacobi-Dirac structure.

在此基础上，建立Jacobi流形的两类对应约化定理，并且给出了约化Jacobi流形上的约化Jacobi结构的具体形式以及其与原流形上的Jacobi结构之间的对应关系。

Furthermore,λ3 = 4 if and only if G contains K4 as its subgraph.

进一步，λ3=4的充分必要条件是图G含有子图K4。

A statistic is sufficient for inference about q if and only if the values of any sample from that distribution give no more information about q than does the value of the statistic on that sample.

但莫明其妙的是，在很多情况下，这么多因素的信息居然浓缩在"星座"这一个信息里。

Some theories of morally correct action also introduce the category of the supererogatory: an action is supererogatory if and only if it is morally praiseworthy, but not obligatory.

有些道德正确的行为的理论还引入了多劳类别：一个行为当且仅当它在道德上值得表扬但不是义务时就属于多劳类别。

However, if and only if, the new character set is a strict superset of the current character set, it is possible to use the ALTER DATABASE CHARACTER SET to expedite the change in the database character set.

如果，仅仅是如果，新的字符集是当前字符集的一个严格的超集，使用ALTER DATABASE CHARACTER SET命令是一个可行的方法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷