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Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

As an important algebraic subject, rings are the base on Algebraic Geometry and Algebraic Number Theory.

环作为一门重要的代数学科是代数几何和代数数论的基础，有许多其它相关学科领域都涉及到环。

This powerful algebraic structure with its finiteness makes itself a concise and beautiful subject of study in the mathematical world.

这种强有力的代数结构再加上有限性这一条件使它成为数学领域中一种简洁、美妙的研究对象。

First, this book is relatively elementary, and second, while the bulk of the books on the subject is written from the point of view of an algebraist or a geometer, this book is written with an analytical flavor.

首先， 这书相对初步，其次，，当关于学科的书的大部分被从algebraist或者一位几何学家观点来看写时，这本书被一种分析的味道写。

Human's sense of alienation is a basic subject of the western modernist fiction.

人的异化是西方现代主义小说所传达的一个基本主题。

The major research subject in the paper are multiple aliquot OSL dating method of the fine grain (4-11μm) fractions and application of the method for OSL dating of loess and water-laid sediments from North China.

本文的主要研究内容为细颗粒多测片的沉积物光释光测年方法及其应用于中国北方黄土及水沉积物的年龄测定和年代学研究。

The RNA from the same subject was divided into two aliquot and labeled with Cy3 and Cy5 respectively. The spots with significant difference between the foreground and local background intensities and those without significant difference between Cy5 and Cy3 signal intensities were selected for analysis.

排除阴性和阳性对照信号值、Cy3和Cy5的前景与背景间无统计显著性差异点的信号值，进一步排除两种荧光标记间存在统计显著性差异点的信号值，将3张芯片的共同信号值用于分析。

The discussion in this section is not intended to be an all-inclusive review of the subject.

本节的讨论并不企图对这个题目作无所不包的评述。

The authority of the Emperor and the Japanese Government to rule the state shall be subject to the Supreme Commander for the Allied Powers who will take such steps as he deems proper to effectuate these terms of surrender.

日皇与日本政府统治国家的权力，将服从盟国最高统帅，盟国最高统帅将采取他认为实行这些投降条款所需要的一切步骤。

The surplus gold and silver materials in a unit using gold and silver may be redistributed to other units requiring it for use, subject to the consent of the local Peoples Bank of China or its agency, and at the same time the quota of allocated sales for the userunitshall be checked and reducedcorrespondingly.

使用金银单位多余的金银材料，经当地中国人民银行或其委托机构同意，可调剂给其他需用的单位使用，同时相应核减需用单位的配售指标。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新