查询词典 elliptic motion

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 book is divided into eight chapters, mainly introduced the super-elliptic curve cryptography algorithms of number theory based on hyperelliptic curve cryptography system, in addition to the core algorithm for computing sub-groups, from the ECC's technical standards to the super-elliptic curve cryptosystem implementation technology, but also on the super-elliptic curve cryptography and ECC and RSA in the security strength, complexity and the realization on the comparison.

全书共分八章，主要介绍了超椭圆曲线密码体制的算法数论基础、超椭圆曲线的密码学体系、除子群运算的核心算法、从ECC的技术标准到超椭圆曲线密码体制的实现技术，同时也对超椭圆曲线密码体制与ECC及RSA在安全强度、复杂度以及实现上进行了比较。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

In the elliptic curve cryptosystem, the core operation is elliptic curve scalar multiplication, which is crucial to efficient implementation of elliptic curve cryptosystem.

在椭圆曲线密码体制中，核心运算就是椭圆曲线的标量乘运算，它是椭圆曲线密码体制快速实现的关键。

Leaf blade elliptic, ovate-elliptic, or elliptic-lanceolate, base rounded or obtuse, rarely subcordate; capsule with yellow to brown stellate hairs; androgynophore 1-2 cm

叶片椭圆形，卵状椭圆形，或椭圆形披针形，基部圆形或钝，很少近心形；蒴果具黄的到棕色星状毛；雌雄蕊柄1-2厘米 15

Perianth accrescent and fleshy in fruit, tepals elliptic; leaves elliptic or elliptic-lanceolate, base cuneate.

P 。 molle 绢毛神血宁

Analyzed some correlation problem of using elliptic curve construct cryptosystem.Make the correlation counterchange on the elliptic curve that suitable for constructing the cryptosystem and the op eration on it. Analyzed and researched discrete logarithm problems of elliptic c urve suitable for cryptosystem.

文中分析研究了利用有限域上的椭圆曲线构建密码体制的相关问题，对于适于建立密码体制的一类椭圆曲线进行了相应的仿射代换和其运算的映射变换，对椭圆曲线构建密码体制的椭圆离散对数问题进行了分析研究。

Leaf blades elliptic, obovate-elliptic, oblong-elliptic, or oblong, glabrous or hirtellous near base especially along midvein

叶片椭圆形，倒卵状椭圆形，长圆状椭圆形，或长圆形，无毛的或具微糙硬毛的近基部特别是沿中脉 4

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。