曲线

Study on geometry theory and engagement characteristics of scroll profiles Aiming as the limitations of scroll profiles in existence, the whole characteristics and local characteristics of plane curve instinct equation were studied. Analyzed the equidistant curve of envelope principle, normal equidistant curve creating method and envelope equidistant curve creating method were gained.

针对现有表征方式的局限性和不足之处，从微分几何角度出发，研究了平面曲线固有方程的局部特性和整体特性，分析了通用涡旋型线等距曲线和包络原理，得到了法向等距曲线生成及包络法等距曲线生成方法，推导了通用涡旋型线的坐标变换方法，得到了通用涡旋型线的平面啮合理论。

In respect to the relationship between cam profile and pressure angles, the design method of cam profile with constant pressure angle was discussed and the cam profile was derived by means of the Euler Formula and the FORTRAN program.

在讨论了凸轮轮廓曲线与压力角的关系的基础上，探讨了等压力角凸轮机构轮廓曲线的设计方法，用改进型的欧拉公式经 FORTRAN编程得出相应的轮廓曲线，并着重分析了凸轮机构中基圆半径、偏距和压力角各参数的变化对凸轮轮廓曲线的影响。

This case are same to light, moderate arid severe erosion type, which turn out to be a curve similar to Gaussian distribution, but soil erosion types at the two sides of the curve are totally different, in the left side of the curve, soil erosion are dominated by moderate and severe erosion type, arid in the right side of the curve, mainly soil erosion type is light erosion.

这种情况对于轻度、中度及强度土壤侵蚀的影响是类似的，都呈类正态分布的曲线形式，但在曲线的两侧土壤侵蚀类型是有本质区别的，在曲线的左侧土壤侵蚀类型的分布是中度和强度为主，而在曲线右侧则以轻度为主。

Also the constructed curve is a shape-preserving curve for the original curve. We can also adjust the shape of curves by parameters of trigonometric uniform polynomial curve to approach the polygon closer. The general trigonometric polynomial curves with m degree and C(superscript 2m-1)(m=1, 2, 3) continuity are further presented.

除了通过切点参数，还可以通过三角均匀多项式曲线参数来调整曲线形状，使所得曲线更加逼近多边形，并可进一步、类似地可构造与给定多边形相切的C(上标 2m-1)(m=1， 2， 3)连续的m次三角多项式曲线。

Some applications of the Bezier curve to computer graphics are introduced in this paper. These include generating flowered patterns approximate drawing of profile of machine parts, designing the shape of industrial products with free curve, making three-dimensional picture of ratators with the Bezier curve as the generating line and plotting charts by smoothing out the graphs of discrete data of scientific experiments.

本文介绍Bézier曲线在计算机绘图中的某些应用，例如生成花纹图案，近似绘制机件的圆弧轮廓图，工业产品自由曲线轮廓的构形设计，生成以Bézier曲线为母线的旋转体三维图象，利用Bézier曲线的凸包性对离散的科学实验数据进行平滑处理绘出数据图表等。

Ythagorean hodograph curves enjoy a number of remarkable properties, such as, its offset curves have exact rational representations; the arc length function of a Pythagorean hodograph curve is simply a polynomial function of the curve parameter; and the lower degree Pythagorean hodograph curves have intuitive geometrical interpretation.

H曲线具有诸如有精确的有理 Offset、弧长函数可由多项式函数表示以及几何解释优美等一系列优良性质。基于复分析方法，避免了实分析讨论中出现的复杂表示及繁琐计算，构造了满足给定 C1 Hermite插值条件且以C1拼接连续的三次 PH曲线偶。该曲线偶可灵活处理拐点，从而克服了一般三次 PH曲线因恒凸而无法处理拐点的缺陷。

The results indicate that its dynamic stress-strain curve is hyperbolic type. The dynamic strain of LCES decreases with increasing confining pressure, cement content, curing ages and cyclic loading frequency when it is subjected to the same dynamic stress. At the same dynamic strain, the dynamic secant elastic modulus E_(sec of LCES increases and the damping ratio decreases with increasing confining pressure, cement content, curing ages and cyclic loading frequency. The curves ofσ_d～ε_d,E_～ε_d and D～ε_d with different EPS content intersect respectively, the trend of LCES deformation characteristic is inversely proportional to EPS content near the intersection. The value of dynamic strain at the intersection is about 0.5%~3.0%, the magnitude of which is related to the mixing proportions and confining pressure.

试验结果表明，LCES的动应力应变骨干曲线形态符合双曲线；在相同的动应力作用下，LCES产生的动应变随着固结压力、水泥掺量、试样养护龄期和振动频率的增大而减小；在动应变相同的情况下，随着固结压力、水泥掺量、试样养护龄期和振动频率的增大，LCES的动模量增大而阻尼比减小；随着加载次数的增大，LCES的动模量在开始阶段显著降低，然后趋于稳定，但当加载次数达到几百次时，动模量又有增大的趋势；不同EPS掺入比的LCES的动应力应变骨干曲线、动模量随应变变化曲线和阻尼比随应变变化曲线都发生了相交，交点前后EPS掺入比的大小对LCES动力变形特性的影响趋势是截然相反的，交点处的动应变值一般在0.5％～3.0％范围内变化，其大小与LCES的配比以及固结压力有关。

At the same level of security, the basis field of hyperelliptic curve cryptosystems is smaller than that of ECC, and almost all protocols based on the standard DLP such as DSA and ElGamal can be planted to HCC.

在同等安全水平下，超椭圆曲线密码要比椭圆曲线密码所用的基域小，且HCC可以模拟基于一般乘法群上的如DSA、ElGamal等几乎所有协议；在同样的定义域上，亏格越大(g≤4)，曲线越多，所以选取用于密码中的安全曲线的余地越大。

At the same level of security, the basis field of hyperelliptic curve cryptosystems is smallerthan that of ECC, and almost all protocols based on the standard DLP such as DSA andElGamal can be planted to HCC.

在同等安全水平下，超椭圆曲线密码要比椭圆曲线密码所用的基域小，且HCC可以模拟基于一般乘法群上的如DSA、ElGamal等几乎所有协议；在同样的定义域上，亏格越大(g≤4)，曲线越多，所以选取用于密码中的安全曲线的余地越大。

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。

I think he's learned how to approach hitters....

Johhny Damon说，『他已是最好的了，再没有人能够比他做的更好，我想他的球技已经完全成熟了，而且他也已经学会了如何去对付和压迫各种打击者。。。。。。

In effect, an 18 foot King Cobra could actually look down onto the average human being.

际上，一个18尺眼镜蛇王其实可以俯视到的平均人。