多重线性

We discuss its algebraic structure, minimum period, linear complexity and the multipleness of the generation.

给出了m序列的自旋转缩减序列，讨论了它的代数结构、最小周期、线性复杂度以及生成的多重性。

By fixed point index theory, multiplicity question of solutions to superlinear operator equations in ordered Banach space is discussed.

通过不动点指数理论，讨论了一类超线性算子方程的多重解问题。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

Based on identity and bilinear pairing on the Elliptic Curve,a new multi-signcryption scheme is proposed.

基于身份和椭圆曲线上双线性对，提出了一种新的多重签密方案。

the combination of principal component analysis and factor analysis can cotribute successfully to the discovery and handling of collinearity.

在大型多元回归分析中用上述方法进行多重共线性的诊断和处理是可行的。

Objective It is very difficult to discover and handle the collinearity in multiple regression.We try to find a way to deal with it in the case-control study of risk factors in lung cancer.

目的 结合肺癌危险因素研究中变量的筛选过程，探讨在涉及较多自变量的大型多元回归分析中，变量间多重共线性的诊断和处理方法。

Peguin ＆ Terasvirta（1999） made a general extension based on the Taylor expansion, which was applied to the test of nonlinear causality, and they dealt with the problem of collinearity by means of drawing principal components.

Peguin和Terasvirta（1999）进行了基于泰勒展式的一般性扩展，应用于非线性因果关系检验，并采用提取主成分的方法解决其中的多重共线性问题。

It uses t-Test and Granger Causality Test to solve the problems of multicollinearity and spurious regression, so the whole model is convictive.

3实证分析部分采用岭回归和Granger因果关系检验的计量方法，有效地克服了时间序列多元线性回归模型中经常出现的多重共线性和伪回归现象，模型整体具有较强的说服力。

The traditional query tree optimization methods,parallel database optimization methods based on left linear trees and right linear trees,bushy trees,and operation of the forest,have their own pros and cons,they have been more in-depth and maturity of the study.The query optimization method based on multiple weighted tree has studied its model of parallel query plan,its complexity model of parallel query plan and query optimization algorithms.The semantic query method transforms an inquiry into one or several semantic equivalence inquiries then has to find and implement a strategy to achieve a better query.Agent-based parallel database query optimization using Multi-Agent technology to automatically search the integrity constraint conditions which are related to the determined query,there for,the efficiency between several relations' joins has been greatly improved.The parallel optimization algorithm,based on genetic algorithm which is suitable for multi-joins of cluster environment,has deeply studied the relations storage options,multi-joins query optimization and query processing and other key technologies based on cluster parallel database.

传统的查询树优化方法，即基于左线性树、右线性树、浓密树、操作森林的并行数据库查询优化方法，各有优劣，对其的研究比较深入、成熟；基于多重加权树的查询优化方法，研究了其并行查询计划模型、并行查询计划的复杂性模型和查询优化算法；语义查询优化方法将一个查询变换成一个或数个语义等价的查询，进而寻找并执行这些等价查询中具有较好实现策略的一个；基于Agent的并行数据库查询优化采用Multi-Agent技术自动查找与给定查询有关的完整性约束条件，使得多个关系间连接操作的效率得到很大的提高；基于遗传算法的并行优化算法，深入研究了基于机群并行数据库中关系存储的选择、多连接查询优化和查询处理等关键技术。

Since then,by applying the Leray-Schauder continuation theorem,nonlinear alternative of Leary-Schauder,coincidence degree theory,and Krasnoselskii's fixed point theorem,many researchers have studied more general nonl...

研究了一类二阶非线性常微分方程的三点边值问题多重正解的存在性问题，在非线性项不满足超线性或次线性的条件下，利用不动点指数定理得到了至少存在两个正解的几个充分条件。

By using competitive adsorption of activated carbom to remove unfavorable influence of carbon in carbonaceous gold concentrate on leaching process, the leaching rate of gold concentrate can be improved to 88% as compared with 10%by direct cyanidation.

本文论述了利用活性炭竞争吸附作用，消除含炭金精矿中炭在浸出过程中的影响，使金精矿的浸出率可由直接氰化的10％提高到88％。

The only thing you're ever gonna be king of is King of the Stupids!

你只配做傻瓜的国王！