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Let a =∈〓. Then corresponding to 62 equivalence classes in χ for ～, we have 144polynomial elements in one variable in canonical basis, each of them also cor-responds to a region which consists of six independent inequalities.

定理。设a=∈〓。那么与χ关于～的62个等价类对应，在典范基中有144个单变量多项式元素，每个单变量多项式元素也对应一个由六个独立不等式构成的区域。

Canonical correlation analysis ; canonical correlation coefficient ; canonical variable

典型相关分析；典型相关系数；典型变量

A new canonical difference equation for describing multi-variable linear stochastic system is developed.

本文提出了一个描述多变量线性随机系统的典范差分方程。

We present an algorithm to compute the canonical form, which preserves the variable independence of every generalized tuple and prove its correctness.

我们给出了计算规范表示的算法，它能保持约束元组的变量独立，并证明了它的正确性。

A plot of each canonical variable against its counterpart in the other group is often useful, and you can use PROC PLOT with the output data set to produce these plots.

每个典型变量与另一组的对应典型变量之间的图是很有用的，你可以用 PLOT 程序作图。

The seven "Catholic" Epistles (James, Jude, I and II Peter, and the three of John) had not yet been brought into a special group, and, with the possible exception of the three of St. John, remained isolated units, depending for their canonical strength on variable circumstances.

七个"天主教"教会（詹姆斯，裘德，我和二彼得，但三者之间的约翰），尚未被带入一个特殊的群体，并与可能的例外是三个圣约翰，仍然是孤立的单位，视其典型的力量就变的情况。

PROC CANCORR can produce a data set containing the scores of each observation on each canonical variable, and you can use the PRINT procedure to list these values.

CANCORR 程序能够产生一个包含每个观测在每个典型变量上得分的数据集，你可以用 PRINT 程序来列示这些得分值。

From canonical correlation analysis of nine variable s of live traits and ten variables of carcass traits about ninety specimens of Hubei white pig, three canonical variables which determined the correlation between the two traits were obtained.

通过对湖北白猪新系90头样本的活体性状的9个变量与胴体性状的10个变量之间的典型相关分析，得出了决定两组性状间相关关系的三对典型变量。

Abstract〕similar to regression analysis,cluster analysis,etc.,correlation analysis is also the basic work for information researches.canonical correlation analysis can be used to analyze the relationship between two groups of variables,and thus worth for using in information science.method of canonical correlation analysis was presented in present study.a java-based network algorithm of canonical correlation analysis was developed,which can be used to calculate the canonical correlation coefficients,canonical variable pairs,and statistical significance of canonical correlation coefficients.the algorithm may be run on java-compatible web browser.at the same time,paper publishing information and citation statistics in information science of china in past years were analyzed using the algorithm,and a number of conclusions were drawn.

摘 要〕与因果分析等一样，相关分析也是信息资料分析的基本工作。典范相关分析用于分析两组变量之间的关系，在情报信息的相关性分析方面有潜在的应用价值。本研究介绍了典范相关分析方法，给出了典范相关分析的java网络算法软件，可用于计算典范相关系数，典范变量对，以及典范相关系数的统计显著性。该软件可在兼容java的网络浏览器上运行。同时，用该算法对国内情报信息论文的发文和引文统计数据进行了分析，得到了一些结论。

In this article,byJordan-Winger transformation,the weakly dimerized spin-1/2 anti-ferromagneticchain is transformed into quantum sine-Gordon model in the continuum limit.Onthe fundament of self-consistent field the usual field variable and canonical momen-tum are rescaled by using the Bogoliubov transformation.

我们利用Jordan-winger变换，在连续表象把量子二聚化spin-1/2反铁磁链哈密顿变换至sine-Gordon方程，在自洽场理论的框架内利用Bogoliubov变化重新标度了常规场变量和动量，有效地解决了远红外发散问题，自洽地得到了基态能和激发谱。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。