无穷

I'm going to just hand you the secret to this limitless power?!

我会把那无穷气力的秘密就这么交给你？

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题，如果使用不精确Broyden方法不能得到较快的收敛速度，比如超线性收敛性，那么当离散化逐渐加细的时候，对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度，所以有必要在无穷维空间上对收敛性问题加以分析，从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

It introduces the basic knowledge and ideas of mathematical logic and classic set theory, including proposition logic and predicate logic, reasoning calculus and theorem proving methods, basic operations and properties of sets and relations, functions of any sets and their properties, the cardinals of infinite sets, and the applications of knowledge and ideas above in computer sciences.

本课程系统介绍数理逻辑与朴素集合论的基础知识，包括：命题逻辑和谓词逻辑、定理的推理演算和机器证明方法，集合和二元关系的基本运算和性质、任意集合中的函数及其性质，无穷集合的基数，以及上述知识在计算机科学中的应用。

We call it many-valued logic in that this kind of logic studies logic theory that handles relations of propositions in which propositions have three truth values or more, even infinite, and do not limit in two truth values.

之所以称之为多值逻辑，关键原因在于其所研究的是具有三个或三个以上乃至无穷个真值的命题之间关系的逻辑理论，而不是仅仅限于真假二值。

We hope you will come visit us in Louisville – your US Sister City – soon … and often.

我希望你们也能经常来看看你们的姐妹城市，同样潜力无穷，商机巨大的路易维尔。

Due to its endless profound, not only there are a number of fans to the magic cube game, also there are many wide and deep studies about magic cube in academia, including Math, Physics and so on, and the research can be applied to various fields.

由于魔方的奥妙无穷，一直以来，不但有魔方游戏的大批爱好者，在学术界，对魔方也有着广泛而深入的研究，包括数学、物理等各个方向，魔方的研究成果也在许多领域得到了应用。

A child is forever learning, has a boundless enthusiasm, innocence, and malleability that an adult just doesn't possess.

一个孩子永远在学习，且有大人所缺乏的无穷热诚、纯真、及可塑性。

The most simple mathematical induction is the most common is that n is all natural, an expression of the establishment.

中文摘要：数学归纳法是一种数学证明方法，是数学中关于自然数命题的主要证明方法，用于确定一个表达式在所有自然数范围内成立，或者用于确定一个表达式在一个无穷数列中成立。

Chapter two is concerned with the interpolation-typed matrix inversion that is developed by professor Ma.

作为本文的主要部分，第三章介绍了Milne关于二元序列的迭代关系的特征定理的矩阵描述，即用AX=XB来讨论无穷阶下三角矩阵反演。

This paper introduces the Taylor formula of one dollar and multi-definition, then the proof of the value from the formula, respectively, that inequality in the value of derivatives is estimated that about industry estimates, demand infinity limit, the median point of the limit function limits, approximation, function equations and so on Taylor formula to do the induction.

本文首先介绍了一元和多元泰勒公式的定义，然后分别从证明中值公式，证明不等式，导数的中值估计，关于界的估计，求无穷远处的极限，中值点的极限，函数的极限，近似计算，函数方程中的应用等方面对泰勒公式的应用做了归纳。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。