查询词典 elliptic modular group

Genetic diversity of the demes was expressed as follow: yellow peach group＞honey peach group＞flat peach group＞red leaf peach group＞crisp peach group＞bitao group and juicy peach group＞nectarine group＞shouxingtao group＞weeping peach group.

各类群遗传多样度为黄肉桃＞蜜桃＞蟠桃＞红叶桃＞硬肉桃＞碧桃、水蜜桃＞油桃＞寿星桃＞垂枝桃。

In school children, tibial bone strength of obese group and overweight group, normal weight group was in the increasing order; the descending risk of bone strength in obese and overweight group was 9.73 and 2.54 times of normal group respectively. Radialis bone strength of obese group was worse than overweight group and normal weight group, while the bone strength of overweight group and normal weight group was not different.

学龄儿童正常、超重、肥胖组的胫骨骨强度依次下降，肥胖、超重组胫骨骨强度下降风险是正常组的9.73和 2.54倍；学龄肥胖组桡骨骨强度低于正常组，超重组与正常组无差别。

By using the solutions of a new auxiliary elliptic equation,a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations.The main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation.Therefore,the derived algebraic equations are greatly simplified.

利用一个新的辅助椭圆方程将求解非线性发展方程精确解的问题转化为一个代数方程组进行求解，与已有的辅助椭圆方程法的主要不同是，应用这一新的辅助椭圆方程后降低了平衡次数，减少了所得的代数方程组的个数和方程的项数，从而大大地简化了代数方程组的求解。

This method is an improvement of existing methods to construct nearly order elliptic curves using complex multiplication. To get elliptic curves with nearly prime orders, the time complexity of this method is O , but to get elliptic curves with prime orders, the time complexity arises to O .

该算法是现有利用复乘构造近乎素数阶椭圆曲线方法的改进，利用该算法构造近乎素数阶椭圆曲线的时间复杂性为O，同时，该算法可用于构造素数阶椭圆曲线，但时间复杂性上升为O。

This paper introduces the real number domain and limited domain of the definition of Elliptic Curves, it introduces the basic principles of Diffie-Hellman key exchange in detail which bases on the definition of Elliptic Curve Cryptosystem, and the methods of implementation which makes use of Elliptic Curve. It analysis the advantages and disadvatages of the Diffie-Hellman key exchange technology , and gives a worthwhile improvement in the same time.

本文介绍了在实数域和有限域中椭圆曲线的基本定义，然后以椭圆曲线的基本定义为基础，详细论述了基于椭圆曲线密码的 Diffie-Hellman 密钥交换的基本原理及利用椭圆曲线实现密钥交换的方法，分析了Diffie-Hellman 密钥交换技术的优缺点，并给出了值得改进的地方。

Researched asymmetric key encryption algorithm basic idea , as well as elliptic curve encipher fundamentals , explorated investigation Elliptic Curve Encryption algorithm performance , corrected in some respects about improved elliptic curve encryption algorithm.

研究非对称密钥加密算法的基本思想，以及椭圆曲线加密原理。探讨了椭圆曲线加密算法的性能，对改进的椭圆曲线加密算法在某些方面进行了修正。

In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.

最后，讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法，并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法，首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法，并将这些结果直接应用于外边值问题的耦合算法。

By comparing the performance of RSA and ECC, the method on how to intercept the elliptic curves and how to code the Elliptic Curve Crytosystems was provided. Fast point multiplication on a family of Koblitz elliptic curves in characteristic 3 is considered.

第二部分首先深入研究了用于身份认证和密钥分发的公钥密码体制，对RSA和ECC的性能进行比较，对椭圆曲线的选取和椭圆曲线密码体制的加密、解密算法设计进行探讨。

By comparing the performance of RSA and ECC, the method on how to intercept the elliptic curves and howto code the Elliptic Curve Crytosystems was provided. Fast point multiplication on a family of Koblitz elliptic curves in characteristic 3 is considered.

第二部分首先深入研究了用于身份认证和密钥分发的公钥密码体制，对RSA和ECC的性能进行比较，对椭圆曲线的选取和椭圆曲线密码体制的加密、解密算法设计进行探讨。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。