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Let R be a commutative Noetherian local ring, M a finite R-module and I an ideal of R.

设是交换的Noetherian局部环，I是R中的理想，M是有限生成的R-模。

Let $A$ be a general finite commutative local ring.

设 $A$是一般有限交换局部环。

Secondly, some discussions are given to the two basic problems on polynomialfunctions over finite commutative ring R ―when does a function over R become apolynomial one?

然后，我们讨论一般有限交换环上关于多项式函数的两个基本问题：多项式函数的判别问题和多项式函数的个数问题。

In this note the problem of counting the number of polynomial functions over finite commutative rings is discussed.

本文主要讨论了有限交换环上多项式函数的计数问题。

In this paper, we make investigations on polynomial functions and permutationpolynomials over finite commutative rings and several results are obtained.

本文主要讨论了有限交换环上的多项式函数和置换多项式，得到了一系列的结果。

The space T is a finite compact space.

空间 T 是有限的小型房车空间。

So you want to show that a finite rank operator A on a Hilbert space is : compact?

三角函数全体在C上稠密，这个是如何证明的？

Using finite-element theroy, Compacting board ,which is the important device of waste truck with compactor was analyzed.

运用有限元理论对压缩式垃圾车的重要工作装置压缩板进行分析。

In this paper, finite element analysis software ABAQUS simulation of stent expansion to different connection to simulate different chamfering polishing the degree of comparative analysis, the results of the analysis can be applied to the structure of stent design and polished.

在这方面，有限元分析软件Abaqus中的支架扩张不同的连接仿真模拟不同纸张倒角抛光程度的比较分析，分析的结果可应用于支架结构的设计和抛光。

A simple PASCAL language compiler, based on the finite state machine algorithm not entirely a function of the compiler.

一个简单的PASCAL语言编译器，基于有限状态机的算法，并不是一个功能完全的编译器。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"