查询词典 triple curve

Rational planar curve; rational space curve; rational ruled surface; moving curve/surface;μ-bases; singularity; self-intersection curve; moving curve/moving surface ideal; ideal-theoretic/set-theoretic generators

基础科学，数学，几何、拓扑平面有理曲线；空间有理曲线；有理直纹面；动曲线/曲面；μ基；奇点；自交线；动曲线/动曲面理想；集论/理想论生成元

First,The properties of the spherical Bezier Curvesproposed by Ken Shoemake(Spherical Bezier curve of first kind)are listed,such asEndpoint property,Symmetry property,Invariant property under solid motion,Spherical convex hull property,etc.,and the fact that this kind of spherical BezierCurve is devoid of subdivision property is pointed out;Based on subdivision,theconcept of a new kind of spherical Bezier curve(Spherical Bezier curve of secondkind)is proposed.This kind of spherical Bezier curve is continuous differentiable.Furthermore,generalization of Bezier curve on more comprehensive manifolds isdiscussed.2Spherical Chaikin algorithm and general spherical corner-cuttingalgorithm.

首先，文中列举了Ken Shoemake提出的点点生成的球面Bezier曲线(第一类球面Bezier曲线)的性质，如端点性质、对称性质、运动不变性质、球面凸包性质等，并指出这种球面Bezier曲线没有剖分性质；基于细分，文中给出了一种新的球面Bezier曲线(第二类球面Bezier曲线)的构造方法，指出这种曲线是连续可微的；作为这些理论的应用，文中改进了Ken Shoemake提出的球面插值曲线构造方法；进一步，文中探讨了Bezier曲线在更广泛的流形上的推广方法。2球面Chaikin算法和一般的球面割角算法。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

The polarization curve is not sufficient for a reliable and unique validation of a PEMFC model since different parameters can lead to an identical polarization curve. A three-step validation approach is proposed for a complete and unique validation. These three steps are:(1) validated by the global polarization curve,(2) validated by the local current density distribution curve, and (3) validated by the cathode over-potential and anode over-potential versus current density curve. The results from the comparison of four flow-fields show that the PEMFC performance of the flow-fields decreases in order by interdigitated, metal foam, pin-type and parallel.

通过PEMFC参数敏感性研究发现，PEMFC性能受多种参数的影响，这些参数可分为非敏感性参数、敏感性参数和高敏感性参数；与阳极侧参数相比，PEMFC性能对阴极侧的参数更敏感；不同参数值的组合可以得到几乎完全相同的极化曲线，因此电池的极化曲线不足以用于验证数学模型的唯一性与可靠性；为验证PEMFC数学模型的唯一性与可靠性，提出了模型验证的三步法：极化曲线验证、局部电流密度验证和阳极总过电位与阴极总过电位验证。

No definite stent thrombosis or MI occurred in either group during the period of follow-up, and no significant difference existed yet in the rates of 1-year cardiac death (4.1% 1151.5%, P=0.255), stroke (3.3% vs 0.7%, P=0.186) and TVR (12.3% vs 7.8%, P=0.223) between the patients received dual or triple antiplatelet therapy. The rate of primary events was 9.9%(14/141) in triple group, which was significantly lower than that in dual group [18.9%(23/122), P=0.038]. Patients receiving hypoglycemic medicine got more benefits from triple antiplatelet treatment.

随访1年两组无支架内血栓和非致死性MI事件发生；三联组心性死亡、卒中、TVR发生率分别为1.4%、0.7%、7.8%，两联组分别为4.1%、3.3%、12.3%，两组比较均无显著差异(P=0.255，P=0.186，P=0.223)；但三联组术后1年主要不良心脑事件发生率[9.9%(14/141)]低于两联组[18.9%(23/122)，P=0.038]，其中接受降糖药物治疗者获益更明显。

The keys are improving the effective speed of take off and reducing the speed loss before footplate. 5. Technique improvement is the main task for Chinese triple jump athlete. The link up among three jumps, the conversion between drop and take off, the maintenance of the speed need research deeply all. The mostly way to improve the triple jump performance are finding properly jump structure and rhythm which fit the agility, harmonious, strength, speed, balance of Chinese triple jump athlete.

我们应该从三跳的衔接、三跳落地与起跳的转换、跳跃过程中保持向前的速度等技术训练方面进行深入研究；找出最适合我国运动员个体的跳跃类型和跳跃节奏，发挥我国运动员身体灵活、协调性好、掌握技术能力强、速度与力量发展均衡的特点，在三级跳远技术上有明显的提高，这是我国运动员提高三级跳远成绩的主要途径。6、注重训练结构的合理性是提高我国三级跳远运动成绩的另一个主要途径。

We study the properties of $BR_0$-algebra and the total complication triple I method on complete $BR_0$-algebra, and we apply the results to $R_0$-Unite interval $\overline{W}$. Not only we have simplified the proof of the results of $R_0$-type triple I method on $R_0$-Unite interval $\overline{W}$, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the $R_0$-type triple I method is a matching fuzzy inference with $B{\cal L}^*$ system.

研究了基础$BR_0$-代数的性质和基于完备基础$BR_0$-代数的全蕴涵三I算法，对一般蕴涵算子给出了三I算法解存在的一个充分条件，并将结果应用于$R_0$-单位区间$\overline{W}$，不但极大的简化了$R_0$-单位区间$\overline{W}$的$R_0$-型$\alpha$-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了$R_0$-型三I算法是与$B{\cal L}^*$系统相匹配的模糊推理方法。

We study the properties of BR0-algebra and the total complication triple I method on complete BR0-algebra, and we apply the results to R0-Unite interval W. Not only we have simplified the proof of the results of R0-type triple I method on R0-Unite interval W, but also we make the proof to combine with the formal deductive system for fuzzy propositional calculus. This work also explains that the R0-type triple I method is a matching fuzzy inference with B?

研究了基础BR0-代数的性质和基于完备基础BR0-代数的全蕴涵三I算法，对—般蕴涵算子给出了三I算法解存在的—个充分条件，并将结果应用于R0-单位区间W，不但极大的简化了R0-单位区间W的R0-型α-三I算法结果的证明，而且使其证明过程与相应的模糊命题演算系统结合起来，说明了R0-型三I算法是与B？

After giving the concept and some elementary properties of subideals of Lie triple system,the author shows that every subalgebra of a nilpotent Lie triple systems is a subideal and a Lie triple system is solvable if every subalgebra is a subideal.

证明了幂零李三系的子系数都是次理想；当李三系的所有子系数都是次理想时，该李三系是可解的。

Then introduced a triple integral calculation of the basic concepts and methods of calculating the triple integral in three-dimensional volume, as well as the mechanical application of triple integral example .

随后介绍了三重积分的基本概念和计算方法，三重积分计算立体体积以及力学中三重积分的应用举例。

Finally, the Knight strung a line between two of the monoliths and tied the horses up there.

最后，骑士们在两颗巨石之间拉了一条绳子，将他们的座骑绑在上面。

T7zN/hyS0 The island lies south by east from here.

那个岛位于此地的正南偏东方向。