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。
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。
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。
relating to logical induction.
（有关）逻辑归纳法。
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。
To form a concept inductively.
由归纳法得出一结论
deductive-inductive hybrid modeling method
演绎与归纳混合建模法
There is no end to inductive greed.
归纳法的奢望没有止境。
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。
Methods Literature of bioengineering technology with the use of SCF were summerized.
方法检索归纳近年来国内外超临界技术与生物工程技术结合应用的29篇相关文献资料。
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
Constraint Inductive Research Based on FOIL Algorithm
基于FOIL算法的约束归纳方法研究
On the Changes of Inductive Function as Seen from the Up-and-down History of Classic Inductive Methodology;
从经典归纳主义的兴衰历程看归纳法职能的演变
a science founded on induction
根据归纳法创立的一门科学。
induction in automatic programming
自动程序设计中的归纳法
To collect the relative literature and to make a summary.
方法 :查阅相关文献资料归纳总结。
reasoning from particulars to generals
从个别到一般的推论(归纳法)
