查询词典 quadratic

Therough the test of three-factor quadratic regression orthogonality,we study uqantitatively the relationship between the antiscale rate and the adding amount of LA,the calcium content of the solution and the PH value.We come to the regression equation,which fairly fits the result of the experiment and can be used as the study of the antiscale property and the usable condition of LA.

根据三因子二次回归正交设计实验，定量研究了阻垢率与溶液中阻垢剂LA用量、Ca2+含量和pH值之间的关系，得到的回归方程能较好拟合实验测定结果，可用于合成产物LA阻垢性能和确定其适用条件的研究。

The plots of ln K′ of peptide 1 versus φ are well fitted with quadratic equations when isocratically eluted by aquo _ acetonitrile mobile phases.

当以乙腈为流动相测定肽1的lnK′随φ变化关系时，所得结果显示lnK′与φ呈现良好的二次曲线关系。

Model updating; modal parameter; centrosymmetric; iterative method; least squares problem; quadratic constraint

模型修正；模态参数；中心对称矩阵；迭代法；最小二乘问题；二次约束

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。

First, based on quadratic model and Perrys conjugacy condition, two new formulas of the main parameter β_k of conjugate gradient method are proposed.

第一，本文基于二次模型及Perry提出的共轭性条件，导出共轭梯度法的主要参数β_k的两种新形式。

Rational hidden layer structure is analyzed by program and an example of quadratic function is computed, the correctiveness and rational of the analysis are verified.

本文进行了神经网络结构参数研究，提出了隐层的合理节点数量的分析方法并编制计算机实现程序。

After this, the values of m-th Gauss sums have been determined for small m(= 3,4,···, 12) by using arithmetic properties of cyclotomic fields Q- Recently the formulas of Gauss sums are determined in "self-conjugate" and "index 2" cases in which the Gauss sums belongs to the rational number field and certain imaginary quadratic field respectively.

继高斯之后，人们用代数数论对于m较小情形计算出m次高斯和。近年来，人们对于&自共轭&情形和&指数2&情形算出高斯和。对于这两种情形，高斯和的值分别属于有理数域和虚二次域。

Thunbergii trees were established, and the sun survivorship curves were drawn with field data. The results showed that in the three plots, the height and basal diameter growth of regenerated young P. thunbergii trees had exponential, linear, and quadratic functional relations with age and the age structure was of spindle, discrete, and pyramid types, respectively. Most of the regenerated young trees were distrbuted at 0.3-1.2 m from their nearest standing trees, and the individuals of the young trees decreased near to or far from the nearest standing trees. Inplots Ⅰ and Ⅲ, the expected average life of regenerated young P. thunbergii trees had a decreasing trend with their increasing age, and the survival number of the population also decreased with increasing population age. The survivorship craves of regenerated young P. thunbergii trees in the two plots approximated to the type of Deevey Ⅱ, indicating that the young P. thunbergii populations in the plots were at stable development stage. The population structure of regenerated young P. thunbergii trees in plot Ⅱ was lesser integral, suggesting that the population was of declining types being related to human disturbance, slope and other environmental factors.

结果表明：(1) 3个样地中幼龄植株高生长、基径生长与年龄均分别呈指数函数、直线和二次函数关系；(2) 3个样地黑松幼龄植株年龄结构存在着明显差异，分别表现为纺锤形、残缺型和金字塔型；(3)幼龄植株主要集中分布在距最近立木0.3~1.2m，离立木越近或越远幼龄植株均逐渐减少；(4)对样地Ⅰ和样地Ⅲ黑松幼龄植株生命表和存活曲线的分析表明，随年龄的增加，黑松幼龄植株生命期望值基本上呈递减趋势，黑松幼龄植株种群存活数也随着年龄的增加而降低；样地Ⅰ和样地Ⅲ黑松幼龄植株种群存活曲线近似于Deevey Ⅱ型，表明2个样地黑松幼龄植株种群处于稳定发展阶段；(5)样地Ⅱ幼龄植株种群结构很不完整，表明该种群属于衰退型，与人为干扰及坡度等有关。

Through fertilizing organic fertilizer and growth regulators to Dendrocalamus latiflorus shoot-used forest planted on hills with quadratic regression orthogonal test design,the shoots output and economic benefit were analyzed.

对山地麻竹笋用林采用回归正交试验设计，施用有机肥和生长调节剂，分析研究了笋林的出笋量和经济效益。

Quadratic finite volume element method s for the air pollution model in one-dimensional;2. The two-grid algorithm of the finite volume element method for second-order indefinite elliptic problems;3. A fally discrete finite volume element method is given for one-dimensional two-phase incompressible flow in porous media.

在初始网格剖分上采取分段线性函数空间作为有限体积元方法的试探函数空间，在相应的对偶网格上采取分段常数函数空间作为其检验函数空间，对一维不可压缩两相渗流驱动问题提出了全离散有限体积元方法，并得到L2-模误差估计。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。