查询词典 oblong-linear

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。

By modeling six kinds of linear and non-linear optimal forecast combining models,this paper com- pares the performance of the linear and non-linear forecast combining methods,as well as neural network methods and other optimal combination methods.

1引言在实际预测工作中，某些模型在某个特定的时间或系统之下具有良好的预测效果，但是面对动态的变化的现实，采用任何单一的预测方法均不可能在任何经济状态下都达到令人满意的效果。

Linear motor is a kind of equipment for converting electrical energy into linear movement use. In most occasions where need converting rotary movement into linear movement, linear motor shows its superiority. It makes many in-between transferring machine unnecessary. Therefore, the whole system runs more steadily. In addition, thanks to the reducing of the in-between machine, the friction wastage of the whole system is reduced and the efficiency of the whole system is improved.

直线电机是一种将电能直接转换成直线运动机械能的驱动装置，在许多需要由旋转运动转换成直线运动的场合下使用，它可以省却中间机构，从而使装置得以简化，减少了维护的工作量，提高了系统的可靠性，且易于控制，在合适的使用场合下，还可以提高整个系统的效率。

To overcome the drawback that the traditional Linear Grouping Algorithm, when extracting linear structures, is sensitive to outliers in datasets, a new finite step according to existence of optimal linear grouping in data set and a new algorithm based on k-means clustering, total least absolute deviation and resampling were proposed, which detected several different linear relations at once to minimize the total orthogonal distances from n given points to its nearest hyperplanes.

为克服传统提取数据集中线性结构的LGA对噪声数据比较敏感的缺陷，提出了两种基于稳健的全最小一乘准则下的LGA新算法。首先证明了全最小一乘准则下数据集最优划分的存在性，并据此给出一种有限步终止算法。其次为提高计算速度，根据k-means算法、全最小一乘准则和重抽样方法给出另一种快速收敛算法。

Fruit linear to linear-ellipsoid,(5-)8-11(-15)× 1-2 mm, narrowly cuneate at both ends; valves with a prominent midvein; gynophore obsolete or to 0.5 mm; septum perforate, with a short midvein distally; style 0.5-1(-1.3) mm. Seeds reddish brown, oblong, 1-1.5 × 0.5-0.7 mm.

果线形的到线形椭圆形，( 5-)8-11(-15)* 1-2 毫米，狭楔形在两末端；裂爿具一突出中脉；雌蕊柄过时或者对0.5毫米；隔膜具孔，具一上部；花柱0.5-1(-1.3)毫米种子红棕色，长圆形， 1-1.5 * 0.5-0.7 毫米。

Panicle dense, spikelike, linear or linear-oblong; culms less than 30 cm

圆锥花序紧密，穗状，线形的或线形长圆形；秆少于30厘米 12

Fruiting pedicels ascending to divaricate, glandular or eglandular, lowermost 1-2.5 cm. Sepals purple, linear to linear-oblong, 9-12 × 2-3 mm, glabrous, pubescent, or glandular, white margined.

到极叉开，具腺或上升的果梗，最下萼片紫色1-2.5 厘米，线形到线形长圆形， 9-12 * 2-3 毫米，无毛，短柔毛，或具腺，白色的边缘。

Inflorescences terminal, very crowded and forming dense headlike cluster; bracts linear to oblong-linear, 0.2-2 cm, short pubescent, adaxially with intermixed short bristles.

Pedicel不到0.8毫米，拉长到5毫米，在果期下垂，坚固，稀少短具糙硬毛。

Sepals free, caducous shortly after anthesis; fruit linear or rarely linear-oblong, terete, 4-angled, or latiseptate; with longitudinally oriented, malpighiaceous and/or 3-5-fid stellate trichomes; styles 0.5-3(-4) mm.

萼片离生，早落短在花后；果线形的或很少线状长圆形，圆柱状，四棱形，或者具宽隔膜；纵向的具面向，malpighiaceous和3-5半裂星状毛；花柱0.5-3(-4)毫米 2

Fruit tardily dehiscent siliques opening basipetally, not breaking transversely into segments, linear or oblong, terete, sessile; valves corky, not veined, with glandular and/or dendritic trichomes, not torulose or moniliform; replum flattened; septum complete, thickened; style prominent, short, or obsolete; stigma capitate or linear, obscurely to strongly 2-lobed, lobes spreading, free, not decurrent.

果缓慢开裂长角果开阔的basipetally，不进裂片横向弄断，线形或长圆形，圆柱状，无梗；不，裂爿木栓质具腺的脉，具和/或毛状体，并非近念珠状或念珠状；使变平的假隔膜；隔膜完全，加厚；突出的花柱，短，或废退；柱头头状或线形，不明显对强烈2裂，裂片平展，离生，不下延。

I love you too, and I'm never letting you go again.

我也爱你，我再也不会让你走了

He is ahead of Mrs Clinton for the first time in national polls.

这是他首次在全国民意调查中领先希拉里。