查询词典 archimedically ordered number field

Based on a brief review on developments of number system, a new developed pattern is proposed. The quaternion is extended to a matrix form aI+bA+cB+dC, in which the identity matrix I and three special matrices A, B, C correspond to number 1 and three units of imaginary number i, j, k, respectively.

在数系发展的基础上，提出了一种新的发展模式：四元数推广为矩阵形式aI+bA+cB+dC，其中单位矩阵I和3个特殊矩阵A，B，C分别相应于数1和虚数单位i，j，k。

Combining a real number with an imaginary number forms a single entity known as a complex number.

一个实数和一个虚数的组合构成一个复数。

From mid-2001 the beginning of the end of June 2003, the number of reported AIDS cases accumulated over the years the number of reported incidence of 76 percent, the death toll of the calendar year the total number of deaths reported 72 percent.

从2001年年初到2003年6月底，全国报告艾滋病发病人数占历年累计报告发病人数的76%，死亡人数占历年累计报告死亡人数的72%。

Usually written in a number of 10 exponential form, the index number is the number of orders of magnitude.

通常把一个数量写成10的幂指数形式时，指数的数目就是该数量的数量级。

At the end of -2006 on four quarters, quarter by quarter to reduce the number of shareholders, after a period of time the ready, on the Topix index over the same period also began in the low start, ushered in a rising prices; then in 2007, the number of shareholders, has begun to trend showed an increase quarter by quarter, but the first three quarters of 2007 alleviate the growing number of shareholders At the same time, the Shanghai index is still of inertia on the red, and all the way to its peak Biao .

在-2006四季度，按季度季度末的2006年，以减少股东人数，经过一段时间的准备期间的同期东证指数也开始在低开始时，在迎来了价格上涨，2007年以后，股东人数，已经开始的趋势显示按季度增加四分之一，但前三四分之二千零七缓解日益增长的股东，同时数，上海指数仍然是惯性的红色，一路飙到了最高点。

In chapter two, concepts of integrity, integral set and integral number are introduced firstly, and then some relationships between the integrity and some other parameters of graphs are given, then the upper and lower bounds of the integrity are investigated on the basis of integral number determined. The final result is the upper and lower bounds of integral number if the integrity is known.

第二部分主要讨论了完整度与图的其它参数之间的关系；给出了完整度给定条件下完整数的最大可能值及完整数给定条件下，完整度的最大最小可能值；给出了图的完整度与此图的删点子图的完整度之间的关系。

By using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [13] , [73] ); B-net form of bivariate splines function; discriminant sequence of polynomial (cf. [13] , [73] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite.

3：利用杨路，张景中，侯晓荣在文献（[13]，[73]）中关于一元多项式实根的显式判准，以及二元样条函数的B-网形式，多项式的判别序列和Sturm序列的最高次数项系数序列的变号数，本文给出了两个分片代数曲线的实交点数的计算公式。

Looked from the main center energy theory that, to is suitable the number and the inverse number practice number of times and the level of expertise difference, changed the partition of energy plan, causes us to be suitable ripe time need less energies, the processing process even more automation.

从中枢能量理论来看，对顺数和逆数的练习次数和熟练程度的不同，改变了能量分配方案，导致我们在顺熟的时候需要更少的能量，加工过程更加的自动化。

A second subnumber is calculated for the second number as the multiplicative inverse of the first number with respect to a second submodule (120) that equals the second prime number minus 1, the first submodule and the second submodule being relatively prime.

计算该第二数的一个第二子数做为该第一数的相对于一个第二子模数(120)的一个倍数逆数，该第二子模数等于第二质数减1，第一子模数与第二子模数互质。

Moreover, by discussing the role of geometrical proof in Ars Magna and Cardano's attitude on irrational number, negative number and imaginary number, the paper points out that the role of geometry in Renaissance algebra had been tending weaker.

同时，通过考察几何证明在《大术》中所起的作用以及卡尔达诺对无理数、负数和虚数的处理，指出在文艺复兴时几何在代数学中的作用己逐渐减弱。

Apllied the data of QuickBird-2——the highest resolution remote sensing,and based on the theory and methodology of fractal geometry,we have quantitatively studied remote sensing lineations in Gaolong gold deposit of Guangxi.

采用Quick Brid-2高分辨率卫星遥感数据，通过分形几何学的盒计维数法，定量研究广西高龙金矿区遥感线性构造。

So, sometimes, to change the color can not be your food (referring to the above-mentioned crustacean) has been a sign of boiling over.

所以，有时，来改变颜色，不能你的食物一直是沸腾了的迹象。