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It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示,即套代数上的任何一个Lie导子都是内导子与广义迹之和;给出了Lie同构和同构及反同构之间的关系,即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和;引入了Banach代数上线性映射的Lie不变子空间,并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画,同时也表明在模去数乘恒等映射的意义下,以导子空间为Lie不变子空间的线性映射就是Lie导子。

In high-impedance current-input inverting configurations, where a length of shielded wire is used to guard the lead from the current source to the amplifier's inverting input, the guard should either be driven by a buffer at the same potential as the non-inverting input, or be tied directly to the non-inverting input, with a second outer shield connected to the signal's reference point.

如果将运放接成反相放大器的形式,并且在信号源与运放反相端之间用一段带有屏蔽层的导线来充当的防护罩,那么对防护罩的处理有两种选择:要么用一个缓冲跟随器来驱动,跟随器输出端与运放同相端电位相等,而且除跟随器外,防护罩不与其他点接触;要么将防护罩直接接到运放的同相端,然后在其外面加一个屏蔽层,并且将屏蔽层连接到信号的参考电位。

Atomic implies indivisibility and irreducibility, so an atomic operationmust be performed entirely or not performed at all.

这里"原子"的意思是看不见和不可分,因此原子操作要么必须全部做完,要么一点也不做。

All English verbs belong to one of two conjugations, they are either regular verbs or irregular verbs .

所有英语动词的变化可归于两种,要么是规则动词,要么是不规则动词。

They would either become irreparably disfigured, die, or be transformed into Spartans.

他们要么成为无法恢复的畸形、死去,要么就变成真正的斯巴达。

If was not refined feasible plan draft regulation, if do not have the duty cause news of be convinced making a person, so called buying and selling is fictitious monetary levy or is the work is far from complete, or is to say just, the netizens of fictitious to buying and selling perhaps money empty character intimidate, produce temporary jackstraw effect.

如果没有细化可行的计征规则,如果没有令人信服的税源信息,所谓的买卖虚拟货币征税要么是挂一漏万,要么是说说而已,或者是对买卖虚拟货币的网民们虚言恫吓一下,发挥暂时的稻草人作用。

His old fellow made his tin by selling jalap to Zulus or some bloody swindle or other.

他老子要么是把药喇叭[26]根做成的泻药卖给了祖鲁人[27],要么就是靠干下了什么鬼骗局发的家。

Mr. Jennings, either we manage this case, or you manage it.

詹宁斯先生,要么我们处理这个案件,要么你处理。

Jennings, either we manage this case, or you manage it.

詹宁斯先生,要么我们处理这个案件,要么你处理。

But he married again in 2001 and is now working on a study of Rudyard Kipling.

那么我们应该怎么做呢?要么放弃它,要么去改进这个组织。

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推荐网络例句

I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。