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1·By introducing theories of matrix, this paper presents a calculation method for the rank of the quadratic form in quadratic sum resolution.

引用矩阵的有关理论，给出了平方和分解式中二次型秩数的计算方法。

2·A new formula is obtained to find out regression coefficients, based on the fact that the quadratic sum of distance between line and spots in minimum.

由点线距的平方和最小，得出一种求回归系数的新公式。

3·At first, noise is reduced by median filtering. Secondly, the DQS (Difference Quadratic Sum) algorithm is presented to restrain the background noise and enhance the targets.

该方法的特点是：首先采用中值滤波来减小噪声，并提出了差方和算法，用以抑制背景噪声并对目标增强；

4·For the general case, optimal algorithms are presented respectively for minimizing the sum of quadratic completion times and the number of tardy jobs.

在一般情况下，对目标函数为极小化完工时间平方和与极小化总误工数问题分别给出了最优算法。

5·In the last chapter, one kind of partially observed linear quadratic non-zero sum differential game problem is studied.

在最后一章，我们研究了一类部分可观测的线性二次非零和微分对策问题。

6·The wave numbers of the IR spectra thus calculated from these force constants agree fairly well with the observed ones. The sum of the weighted quadratic defle'ctions is 0.223.

由这套力常数所得的红外光谱波数的计算值与观察值吻合良好，加权平方偏差之和为0.223。