1.Because of the requirement and advantages of Implicit Curve/Surface, ImplicitCurve/Surface is receiving more and more attention in Computer Aided GeometricDesign (CAGD) and Computer Graphics. Implicit Curve/Surface has difficulties inrendering, but it still has advantages that can not be substituted: First, teoreticallyspeaking, implicit Curve/Surface is able to maintain all of the characters of ParametricCurve/Surface and has more freedom. Second, Implicit Curve/Surface provides theenough flexibility is able to fit any complex curve and surface.
曲线曲面造型(Curve/Surface Modeling)是计算机辅助几何设计(ComputerAided Geometric Design)和计算机图形学(Computer Graphics)的一项重要内容,主要研究在计算机图像系统的环境下对曲线曲面的表示、设计、显示和分析。
2.In 1989, Neal Koblitz proposed the theory of hyperelliptic curve cryptosystems (HECC) as a generalization of ECC (Elliptic Curve Cryptosystem). HECC is based on the discrete logarithm problem over hyper elliptic curve cryptosystem.
1989年,Neal Koblitz提出了超椭圆曲线密码体制(Hyper Elliptic Curve Cryptosystem,简称为HECC)的理论,它是作为椭圆曲线密码体制(Elliptic Curve Cryptosystem,简称为ECC)理论的一个推广,以有限域上超椭圆曲线的Jacobian商群上的离散对数问题为其基础。
3.Hyperelliptic curve cryptography (HECC) is one kind cryptography system which is more difficult to be broken than elliptic curve cryptography (ECC).
超椭圆曲线密码体制(Hyperelliptic Curve Cryptography，HECC)是比椭圆曲线密码体制(Elliptic CurveCryptography，ECC)更难攻破的一种密码体制。
4.Lucas and Lehmer gave a classical primality test for Mersenne numbers and Benedict presented in a recent paper("An elliptic curve test for Mersenne primes",Journal of Number Theory,2005,110(1),pp.114-119)an elliptic curve test.
Lucas和Lehmer给出了测定Mersenne数的经典方法[1]. 在Journal of Number Theory 110(2005)“An elliptic curve test for Mersenne primes”[2]一文中,Benedict又给出了一种对Mersenne数进行素性测的椭圆曲线测试,但并没有给出两种测试运算量的分析与比较.
5.Anderson , Amemiva and Fujisawa et al scholars extended the growth curve model into the one with random effects and considered the likelihood ratio criterion (LRC) for its mean structure ,where the random vectors follow normal distribution on the assumptions that random effects and random errors are mutually independent[1][2] .
Anderson，Amemiva和Fujisawa等学者将GC模型推广为含有随机效应的增长曲线模型(The Growth Curve Model With Random Effects)，并在观察矩阵服从正态分布的条件下作了关于均值的广义线性假设似然比检验。
6.Although area under concentration versus time curve(AUC) is a very sensitive predictor of clinical response in all patients, it is still not widely accepted in the clinical transplant community because of perceived impraticality of AUC monitoring in the routine clinical setting and the possibility of increased costs.
虽然研究表明浓度-时间曲线下面积(area under concentration versus time curve，AUC)是一个非常敏感的预测临床预后的指标，但其繁琐的采样步骤和昂贵的费用限制了其临床应用。
7.Therefore,the proposed parallel algorithm can be applied to speed the selection of the base point of the elliptic curve cryptography over GF(p),improving the speed of encryption and decryption of ECC.
因此该算法可用于椭圆曲线密码(Elliptic Curve Cryptography,ECC)中基点的快速选取,从而提高ECC的加/解密速度。
8.So far, the Elliptic Curve Cryptosystem (ECC) provides the highest strength per bit of any cryptosystem known.
椭圆曲线密码体制(Elliptic Curve Cryptosystem)是迄今为止每比特具有最高安全强度的密码体制。
9.Elliptic Curve Cryptography (ECC) was the one of the known public crypto methods that provided the best strength-per-bit.
椭圆曲线密码体制(Elliptic Curve Cryptography-ECC)是目前公钥密码体制中能够提供每比特最高安全强度的一种公钥体制。
10.The Koch and 3/2Curve fractal unit are applied to Yagi-Uda antenna, the performance like impedance characteristic and radiation pattern is simulated by CST MICROWAVE STUDIO?
接着将Koch曲线和3/2Curve分形单元应用到八木天线中,通过CST MICROWAVE STUDIO?
