乘法

The S box was constituted with the multiplication inverse element affined transformation in GF(2) of all elements of limited field GF(28),with S box s nonlinear byte changed,ciphered text attained the ideal status of the even of difference and the linear of deviation,and increased the capability of the AES algorithm of anti beating the difference cipher of analysis and linear cipher of analysis.

S盒由有限域G F(28)上所有元素的乘法逆元及在域G F(2)上的仿射变换构成，经过S盒的非线性字节代换，密文的差分均匀性和线性偏差都达到较理想的状态，提高了A E S算法抗击差分密码分析及线性密码分析的能力。

Then the affine permutation in the process of S-box construction was combined with an inverse mapping in order to construct all kinds of S-boxes, such as 8×8、4×4、6×6 and m×n S-boxes, and the avalanche probabilities of these S-boxes were analyzed in the light of variance, and some rules were obtained from the analysis, which will help to find safer S-boxes.

然后通过将有限域上的乘法逆元与一个可逆仿射变换相结合构造了一批8×8、6×6和4×4的S盒，并从方差的角度分析了S盒的雪崩概率，同时总结出部分结论。

The inverse of condition number is recommended as a good prior criterion for choosing response positions in least squares approach.

条件数的倒数在最小二乘法响应点的选取时可作为优选的先验判据，归一化残差可作为估算质量的后验判据。

The inverse of condition number is recommended as a good a priori criterion for choosing response positions in least squares approach.

条件数的倒数在最小二乘法响应点的选取时可作为优选的先验判据，归一化残差可作为估算质量的后验判据。

The 2~ one is to reduce the area cost by reuse some field operation modules such as GF-MUL and GF-SQR. Fermat"s little theorem proves that inversion can be obtained by add and square operations, we needn"t design one more module for inversion on condition that inversion only needed for one time when Montgomery point multiplication method been used.

我们采用射影坐标系表示有限域上的元素，实现点乘只需一次求逆，因而只需要在现有的底层模块基础上，设计平方和乘法的控制电路来实现求逆，而不必设计专用的求逆运算模块。

The IR spectra of poly isocyanate curing agent with different content of TDI trimer was measured and analyzed.

对不同TDI三聚体含量的多异氰酸酯固化剂的红外光谱进行了测定，采用偏最小二乘法对所得到的红外光谱进行分析，测定了多异氰酸酯固化剂中TDI三聚体的含量，该方法简单快速，结果可靠。

In comparison, the Core CPU can perform 4 DP FLOPS/cycle and then some: a 128 bit multiply, a 128 bit add, a 128 bit load, a 128 bit store and then perhaps an ALU or fused compare and jump instruction in the last dispatch port.

Core可以在一个周期内完成4个双精度浮点操作以及其他一些指令，具体地说就是：一个128bit浮点乘法，一个128bit浮点加法，一个128bit的内存读取，一个128bit的内存写入，或许还有一个ALU指令或者一个Macro-ops融合之后的比较条件跳转指令。

On the basis of the characteristics of atomic types in molecule,Hall's electrotopological state indices and Kier's molecule shape index(~mK are calculated for 117 alkanes,cyclanes, aliphatic alcohol ,aliphatic ketones.

这些拓扑指数被用于关联117种烷烃及其衍生物的色谱保留指数，经逐步回归与偏最小二乘法，建立了烷烃、环烷烃、脂肪醇及酮的R.I。与En、mK的4个最佳方程。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中，给出了B样条函数的数学表达形式，推导了B样条曲线下所围面积、面积矩公式；讨论了最小二乘法和拉格朗日插值法的数学形式，并在拟合船体型线上给出首、尾轮廓线的具体实例，对比不同方法进行拟合的差异，其目的是为了求得与等体积倾斜水线的交点；而水线的确定改变了以往人工作图与计算交替进行的不足，尝试用计算机完全代替人工作图，以求有所改进；在舱容计算中，在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线，插值求得任一纵向位置处的剖面，以解决舱室边界条件。

There are some mature curve fitting methods in the reverse engineering, such as Lagrange interpolation, piecewise polynomial interpolation, least square method and spline interpolation.

成熟的曲线拟合方法有拉格朗日插值法、分段多项式插值法、最小二乘法和样条曲线插值法等，本文在分析各自优缺点的基础上，提出选用三次样条曲线拟合法。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。