减法

This chapter defines the conceptsof P linear operator,〓 linear operator and 〓 linear operator by extending theconcepts of P matrix,〓 matrix and 〓 matrix to the linear operator from thelinear space of symmetric matrices to itself.In this chapter,we also present a path-following method and a potential reduction method for solving general linear matrixcomplementary problems,and analyzes their computational complexities undersuitable assumptions.

本章将第二章中给出的P矩阵、〓矩阵及P矩阵的概念推广到由实对称矩阵构成的向量空间到其自身的线性算子L上，得到了P线性算子、〓线性算子及P线性算子的概念，给出了求解一般线性矩阵互补问题的路径跟踪法和势函数约减法，并在L为P线性算子的假设下分析了这些算法的计算复杂性。

The arithmetic of the subtraction is based on the serial arithmetic. It can entirely enumerate every pair of subtrahend on a bit, and it also calculates two possible loaning carry values on each bit. So the subtraction can be operated through automatic selection, and complete collateral subtraction and carry operation. The method of single division is same to it. With the stenography of shifengshou we can solve the complex division. We put the formula and the technique into the DNA model to get the result. The methods all make the step decrease and change the conventional arithmetic.

减法的DNA 算法理论主要是来源于串行思路中的算法，它是将每一位上的两个减数对的所有可能进行全列举，同时考虑每一位上的两种借位信息，使得运算进行自动选择，一步即可得到最终结果的算法；除法中一位数除多位数的算法还是从我们平时所进行的串行运算中得到启发而设计的算法；而除法的多位计算思路则来源于史丰收速算法，将算法中的口诀及技巧应用到DNA 链当中，使得传统中的代数运算能够并行的得到最终的结果，这三种算法的设计都使得计算步骤减少，从根本上改变了算法的运算机制。

Two from five is a simple subduction.

五减二是简单的减法。

At this age, you should be able to subtract one fraction from another.

在你这个年龄，你应该会演算分数减法了。

When we do subtraction ,we take things away.

当我们做减法的时候，我们取走事物。

Now, we have to solve one last problem: the most basic our operation is a subtraction.

现在，我们必须解决最后一个问题：最基本的运作是一个减法。

Teacher: Today we are going to learn subtraction.

老师：今天我们要学习减法。

What's the relationship between the parts of subtraction?

问：减法中，最基本的关系是什么？

Not the same as addition and subtraction, reflecting the tendency is not the same.

不一样加法和减法，反映的趋势是不一样的。

Teacher:Today we are going to learn subtraction.

老师：今天我们要学减法。

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。