The definition and characters of Double-module quadratic residue is discussed in this paper, The arithmetic for choosing base point of Elliptic curve cryptosystem in optimal extension field is worked out and proven mathematically, moreover, the successful probability is also provided.
本文讨论了重模二次剩余的定义、性质，完整地设计出选取最优扩域上的椭圆曲线密码系统的基点的算法，并给出了选取成功的概率和相关数学证明。
Two extension models of SQP and SSLE algorithms for optimization and their superlinear and quadratic convergence
最优化两个拓广的SQP和SSLE算法模型及其超线性和二次收敛性
Generally, this problem is reduced to quadratic residue problem of modulo a big prime number. But this reduction is not applicable to Optimal Extension Fields (OEF).
一般而言，该问题归结为模大素数的二次剩余问题，但这种归结不能用于最优扩域OEF。
The auto-body surface was generally produced by quadratic surface and free-form surfaces through extension, transition and cut out. Fitting complex auto-body surface with a sole surface mathematical model can't guarantee the precision of reconstruction surface.
汽车车身曲面一般由二次曲面和自由曲面等经过延伸、过渡、裁剪拼接而成，只用单一曲面数学模型拟合复杂车身曲面，难以保证重构曲面的精度。
We present a new dynamic convexity preserving subdivision scheme based on the bi-quadratic uniform trigonometric polynomial B-spline. This scheme can be considered as an extension of the Doo-Sabin scheme in the dynamic case.
提出一种基于均匀三角多项式B样条的动态保凸细分算法，它可以看作DooSabin细分算法在动态模式下的一个推广。
In this paper, two extension models of successive quadratic programming (SQP) algorithms and sequential system of linear equations (SSLE) algorithms for solving general constrained optimization are given.
给出一般约束最优化的序列二次规划（SQP）和序列线性方程组（SSLE）算法两个拓广的模型。
RESEARCH ON THE APPROACH OF THE QUADRATIC PROGRAMMING FOR NUMERICAL FORMULAS OF ELASTOPLASTIC CONTACT PROBLEMS The algorithm is an extension of the two-valued cover-most algorithm proposed by M. C.
弹塑性接触问题数值计算的二次规划算法该算法是M.C。
INTERIOR ELLIPSOID METHOD FOR CONVEX QUADRATIC PROGRAMMING The algorithm is an extension of the two-valued cover-most algorithm proposed by M. C.
二次规划的内椭球算法该算法是M.C。
As an application of the extension theorem, finally, the unique decomposition theorems for the quadratic Lie and anti-Lie triple systems are obtained.
作为扩张定理的一个应用，得到了二次李和反李三系的唯一分解定理。
The LQ method with frequncy-shaped weighting matrices in the quadratic cost funtional is the extension of LQ method. This method can better suppress the response in the high frequncy range than LQ method.
在代价函数中具有频率加权的LQ方法是一般LQ方法的推广，它比LQ方法能较好地抑制高频范围内的响应。