查询词典 quadratic sum

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。

It is antinomy to analysis factor effects according to first and second order term index of quadratic polynomial,so this paper put forward a new method to explain and evaluate factor effect by F test based on partial regression sum of squares.

传统的二次多项式回归方程在依系数正负、大小解释各因子效应时，常出现一次项与二次项结果相互矛盾的情形，而一般的SVR模型又不具解释性；本文从偏回归分析定义出发，建立了基于SVR以F测验解释、评价各因子相对重要性的方法。

Independent variables are diameter class, relative diameter, number of stems per hectare, basal area per hectare, quadratic mean diameter, degree of closenessand sum of squared diameter of larger trees than th...

自变量有径阶、相对直径、每公顷株数、每公顷断面积、平方平均直径、郁闭度和大于所估径阶的林木直径平方和。

It is concluded that the order number determines the precision of temperature extrapolation method, and it can be controlled when the quadratic sum of residual error between the opposite solving and the original measuring is minimum. For the specific surface temperature curve, it is derived with the temperature on the site 0.0129cm.

分析结果表明，阶数决定著外推测试的结果以及结果的精度，阶数选取不当甚至会出现错误的外推测试结果，但采用反面求解求得的拟合曲线与实测得的原值具有最小的剩余误差平方和，可以有效地抑制其影响。

This paper mainly aims at analysis of gastrointestinal mucosa gene expression profiles of paired samples about spleen deficiency of chronic superficial gastritis and normal people group, and spleen deficiency of chronic superficial gastritis and piwei damp-heat group. 9 and 12 different genes are selected by using Wilcoxon signed rank test, the ratio of quadratic sum between groups and within groups and distance-related analysis in the process of feature selection.

通过对慢性浅表性胃炎脾虚证与正常人、慢性浅表性胃炎脾虚证与脾胃湿热证两组胃肠粘膜配对样本的基因表达谱进行分析，在特征提取阶段分别利用Wilcoxon符号秩检验、组间和组内平方和比率、基于相关距离的冗余分析方法，分别得到9个和12个差异基因。

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。

Four thin-layer drying models were investigated for the description of FIR-assisted freeze-drying characteristics. The models were exponential model, Page model, diffusion model, and approximation of the diffusion model. Tests were conducted using a three-level, three-factor (drying temperature, distance between sample and FIR heater, and sample thickness) design, and quadratic polynomial analyses were performed to relate the drying parameters of thin-layer drying model. The performance of these thin-layer drying models was evaluated by comparing the coefficient of correlation (R2), the sum of squares, and the RMSE amongst four models. Drying parameter K of the Page model gave the best results in describing freeze-drying with FIR of Tylose and sweet potato.

运用四种薄层乾燥模型（指数、Page、渗透模型及近似渗透模型）研究远红外线冷冻乾燥之乾燥特性，实验采用三阶层、三因子（远红外线加热器设定温度、远红外线加热器至样品表面之距离及样品之厚度）的实验设计，对於薄层乾燥模型的乾燥参数以二次多项式函数表示之，乾燥参数之二次多项式函数的最适性判断主要是藉由决定系数、模式缺乏适合性及均方根误差等值的比较而加以评估，以Tylose及甘薯样品而言，其中四种薄层乾燥模型的乾燥参数以Page模型之K值的结果为最佳。

The Nash equilibrium problem with l2-nor m bound disturbance was studied. The problem was considered as a compound dynam ic game described by N-person non-cooperative dynamic game and two-person zer o-sum dynamic game. By applying H∞ control theory method, the existence conditions of linear quadratic Nash equilibrium H∞ disturbance attenuati on strategies were presented and proved, and its state feedback Nash equilibrium solutions were given.

研究具有l2范数有界不确定性扰动的纳什均衡问题以具有不确定性扰动的线性二次纳什均衡对策问题为例，将其归结为由二人非合作非零和对策和各对策方与外部扰动的二人零和对策构成的复合对策问题，应用H∞控制理论方法，给出并证明了扰动衰减H∞状态反馈策略存在的条件和求解方法，并通过简例说明了算法的有效性

Suppose G is a finite group, then QG is a semisimple Q-algera, obviously ZG is a Z-order of QG,we denote the maximal Z-order by ?.If G is not abelian, it is not an easy thing to determine г; if G is an abelian group, then QG is isomorphic to the direct sum of a finite number of number fields, and r is the direct sum of these rings of algebraic integers of those number fields, but which elements of QG belong to r is not clear.

设G是一个有限群，那么QG是一个半单代数，ZG是QG的一个Z-序，设Γ是QG的一个极大Z-序，当G是一个非交换群时，Γ的求解是困难的问题；当G是一个交换群时，QG同构于有限多个数域的直和，Γ相应的就是各数域代数整数环的直和，但Γ具体是QG中那些元素不清楚。

The fundamental law that is applied in this method is Kirchhoff's first law, which states that the algebraic sum of the voltage around a closed loop is 0, or, in any closed loop, the sum of the voltage rises must equal the sumof the voltage drop.

该方法所使用的一个基本定律是基尔霍夫第一定律，该定律表述为：沿着一个封闭回路的电压代数和为0，或者：沿着一个封闭的回路，电压降之和等于电压升之和。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。