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But because the cancellation law holds, we can conclude that if ''ax''=''ay'', then ''x''=''y'', a

但是因为消除律成立，我们可以得出结论出如果''ax''=''ay''，则''x''=''y''。导致了

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

A line of punch positions parallel to the Y datum line of a punch card.

和卡片的y基准线平行的一行穿孔位置。

Now is a good time to go back to bed if you do not know what a vertex is, but in a geometry for dummies fashion, I will let you in on the secret: a vertex is the location of a point in space, usually described by its x, y and z Cartesian coordinates.

现在是一个很好的时间去回到床上如果你不知道什么是顶点，但在时装几何傻瓜，我将让你的秘密：一个顶点是一个点的位置在空间，通常是描述其x，y和z直角坐标系。

X and y are Cartesian coordinates representing the zonal and meridional directions, and u and v are the corresponding velocity components.

x 和 y 分别表示笛卡儿坐标系中的纬圈和经圈方向，而 u 和 v 分别是这两个方向上的速度分量。

It is Cartesian because it allows x-y-z positioning.

这是笛卡尔的因为它可以让x-y-z坐标系定位。

We use the waveguide simulation software BeamPROP? to analyze the effects of the Y-branch angle, the radius and central angle of arc waveguides, and the length of straight waveguide on insertion loss and nonuniformity.

采用光波导数值模拟软件BeamPROP~分析Y分叉角度、圆弧波导的半径与圆心角、直波导长度等结构参数对插入损耗与分光均匀度的影响。

Is the centre of a circle of radius 1 and X, Y are points on the circumference.

是某个半径为1 的圆形的圆心，X、Y 为圆周上的两点。

So we just check that point which is the point X equal 1, and Y was 2, right?

所以，我们来验证那个点，这个点上X=1，Y=2，对么？

Recently,many articles reported the close correlation between human height and gene polymor- phism,such as GH1 gene, VDR gene ,CYP19 gene,estrogen receptor gene and a few regions in the Y chromo- some.

GH1基因、 VDR基因、CYP19基因、雌激素受体基因以及Y染色体均与人的身材高矮有密切联系。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。