查询词典 linear relationship

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

The input - output relationship of any linear time-invariant discrete system can be described by a difference equation The complete solution of a linear difference equation consists of two parts: the free component and the forced component.

任何一个线性时不变离散系统的输入输出关系都可用线性差分方程式来描写。差分方程式的解答包括两部分：即自由分量和强制分量。

Another definition of linear manifold is given, some properties of linear manifold as well as its relationship with linear space and system of linear equations are obtained.

本文从线性流形另一定义出发，得到线性流形的有关性质，并指出其与线性空间以及线性方程组之间的关系。

For the thrashing due to true sharing of data, we thoroughly study the relationship between array element accesses and loop indices of a nested loop, present a complete set of ideas, theories, and methods with which the staggering relation and the compacting relation between the threads of the nested loop (either with a single linear function or with multiple linear functions) can be determined at compile-time, and accordingly the nested loop (either perfectly nested or imperfectly nested) can be restructured to avoid the thrashing problem.

使用这套理论和方法，我们在编译时就可以确定出嵌套循环（含单线性函数或多线性函数，紧嵌套或非紧嵌套）各线索间的错位关系，一致错位关系和压缩关系，根据这种关系对嵌套循环进行重构可以使真共享抖动问题得到很好的解决。

Exploration is done to the relationship of cot structure,cot rigidity to evenness of the resultant yarn and yarn strength;relationship of cot rigidity to friction factor and linear width of nipper jaws;relationship of cot diameter and telescoping tolerance to quality of resultant yarn .

阐述了胶辊结构、硬度与成纱条干、强力的关系，胶辊硬度与摩擦因数、钳口线宽度的关系；胶辊直径、套差与成纱质量的关系；分析了低硬度胶辊改善成纱条干的机理，指出胶辊制作中必须注意的问题及纺纱工艺配置。

The questionnaire method and the interview menthod were used to gain the tourist data, the quota sampling method was used in sampling survey, the principal component analysis method was used to measure the various variables, the statistical methods such as linear regression analysis, multivariate linear regression analysis, single factor variance analysis and logistic regression analysis were used to analyzes the relationship between various variables.

具体来说，在获取游客数据时采用了问卷调查法和访谈法，在抽样调查时采用了配额抽样方法；对各变量进行测度时使用了主成分分析法；在分析各变量之间相互关系时采用一元线性回归分析、多元线性回归分析、单因素方差分析及Logistic回归分析等统计方法。

Results the parameter estimates and it's stability of linear regression models is associated with the variation of explanatory variable between and within level 2units,and the relationship of parameter estimates and it's stability between linear regression models and variance component model is associated with level 2 residual variance or intatra-unit correlation.

结果 线性回归模型参数估计以及估计的稳定性与自变量在水平2单位间和水平2单位内的变异大小有关，线性因归模型与方差成分模型参数估计及其稳定性的关系与水平2残差方差或单位内相关系数大小有关。

Methods At first, the relationship of linear or non-linear between dependent X and independent Y in original data can be distinguished by scatter diagram which can be made through Excel software.

方法通过利用Excel可绘制散点图的功能，了解原始数据自变量X和因变量Y间的线性与非线性关系，并由自变量X和因变量Y的自然对数转换后的散点图的情况，决定采用何种曲线拟合。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。