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A"bit-mismatch"squarer and a"digit-serial"polynomial multiplier have been designed for finite field arithmetic and the modular inverse in GF (2〓) can be calculated under the combination of the squarer and the multiplier. Based on the Montgomery method for the elliptic curve scalar multiplication, a new improved process has been put forward in the thesis.

论文改进了标量乘法Montgomery算法流程，利用寄存器间的数据交换，将0和1两种情况下的中间结果"点加一倍点"操作统一起来，简化了控制流程，使关键路径延时下降，而且减少了运算单元输入输出的连线逻辑。

The principal objects used by the NTRU PKCS are polynomial of degree N-1 having integer coefficient which are operated by addition,subtraction,multiplication and modular arithmetic.

在相同的安全条件下，NTRU仅需O(2)次操作和O密钥长度，而RSA需要O(3)次操作和O密钥长度，所以NTRU至少要比RSA快100倍，并且经过算法的改进NTRU效率有更大幅度的提高。

The principal objects used by the NTRU PKCS are polynomial of degree N-1 having integer coefficient which are operated by addition,subtraction,multiplication and modular arithmetic .

NTRU公开密钥体制算法主要对象是对N-1次多项式进行加、减、乘、模运算，所以该加密解密的速度比RSA等著名算法快得多，和椭圆曲线密码体制一起，成为新一代最优秀的公钥密码体制。

It is proved that all monic polynomials of order n with roots lying in some open region on the complex plane forms a simply connected set in the polynomial parameter space. Based on this result, Edge Theorems for D-stability of general polyhedrons of polynomials and Boundary Theorems for D-stability of compact sets of polynomials are obtained.

证明了其根位于复平面中某开域的所有n阶多项式的全体构成多项式参数空间中的一个单连通集，并基于这一结果进一步提出了关于一般多面体多项式族D-稳定性的棱边定理和关于一般多项式紧集D-稳定性的边界定理。

Depending on the coefficient of the polynomial, we can easily compute the number of modular addition of A mod p by the formulas for any given irreducible monic trinomial and monic pentanomial.

根据该表达式，对任意给定的不可约首一三项式和首一五项式，可以根据该多项式的系数分别得出以广义Mersenne数为模数的取模运算所需要的模加法的次数。

Each term in a polynomial is also called a monomial.

多项式是一种代数的表现方法，由项组成。

Hence a monomial is a polynomial of exactly one term.

只有一项的多项式亦被称为单项式。

A monomial: a polynomial containing only one term.

单项式：只包含一项的多项式。

This course provides:Simple linear regression and correlation,Measures of model adequacy,Multiple regression,Polynomial regression models,Variable selection and model building,Multicollinearity and Topics in the use of regression analysis.

其内容包括：简单直线回归与相关，模式正确性的衡量，复回归分析，多项式回归模式，变量的选择及模式建立，共线，回归分析应用上的注意事项等。

Established the aircraft mathematical model of space motion, application, Newton interpolation polynomial method on the aerodynamic parameters identification, use of C language compiled simulation program, and to out the simulation results and analysis.

详细说明：对某飞行器的全空域飞行弹道进行了仿真研究。建立了飞行器空间运动的数学模型，应用"牛顿插值多项式法"对气动力参数进行了辨识，用C语言编制了仿真程序，并给出了仿真结果及分析。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷