As an application,inductive limits of Toeplitz algebras are clarified.
本文给出了上述两个Toeplitz算子代数间的自然同态映照成为C~*-代数的单同态的充要条件,刻画了Toeplitz算子代数的归纳极限,证明了任何自由群上的Toeplitz算子代数是顺从的。
It is also closed under the inductive limits.
我们证明了性质(C′)可以传递给C~*-子代数;若每个C~*-代数都具有性质(C′),则它们的有限张量积也具有性质(C′);性质(C′)对归纳极限封闭;我们如果用有限张量积的归纳极限来定义任意张量积,则任意张量积也具有性质(C′);同时,我们还给出了三个类似性质之间的关系。
In this paper, a general inductive principle for any ordered set is proved, and the mathematical induction, the transfinite induction and the continual induction are then deduced.
证明了一个适用于任意有序集的一般归纳原理,以此为基础导出了数学归纳法、超限归纳法和连续归纳法,从而揭示出三种归纳法的共同基础。
definition by transfinite inductio
依超限归纳法的定义
They can continue by transfinite induction.
利用超限归纳法，他们可继续下去。
It's purposes may be reduced to protection, regulation, and support.
它的目的可以归纳为保护、限制和维持。
Where payments exceed these limits they become fully taxable.
付款额超过这些限度就得全部纳税。
Generalize from
通过（有限的例证）归纳、总结出一般性原则或结论
Confirmation of Universal Generalizations and Inductive Probability Logic;
“无限全称命题概率为0”问题与归纳概率逻辑
A universal theory cannot be induced from a finite number of facts.
一项宇宙的学说不能从有限数目的事实归纳而得。
Paying attention to its induction can help students to study the limit theory.
注意教学中的归纳总结,对学生学习极限知识会有所帮助。
Finitism:A Sociological Attempt to Solve the Problem of Induction;
有限论:解决归纳问题的一种社会学尝试——从冥王星降级事件谈起
In conclusion we note the following general items concerning flow in supersonic nozzles.
最后，我们归纳几个关于超音速喷管流动的一般原则。
in section 4.3, the author summarizes various techniques on the translation of a Chinese topic, especially the translation of a long Chinese topic.
第4.3节详尽地归纳了翻译汉语的主题、特别是超长主题的多种技巧。
Preparation of nanostructured lipid carriers loaded with supercriticai carbon dioxide fluid extraction of Xiongguipowder
芎归散超临界CO_2萃取物纳米结构脂质载体的制备
In many jurisdictions, evidence held past a certain length of time may be destroyed or returned.
在许多司法辖区内，超过一定年限的物证可以销毁或归还。
relating to logical induction.
（有关）逻辑归纳法。
deductive [inductive] logic
演绎 [归纳] 逻辑
He have several bottle more than the duty free allowance and so we charge duty.
对于他携带的超出免税品限额的那几瓶酒，他按规定必须纳税。
To be filled beyond capacity, as a container or waterway.
溢出，泛滥超过了所能容纳的限度，如一容器或航道
Performance-based seismic design of Kaina Business Plaza tall building beyond the code-specification
凯纳商务广场主楼超限高层基于性能的抗震设计