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1)  regularization solution
正则化解
1.
In this paper the unbiased estimation formula of unit weight mean square error in the regularization solution is derived and the formula is verified with numerical test of 1 000 sample data by use of the typical ill_posed equation,i.
导出了正则化解的单位权方差无偏估计公式 ,并用第一类Fredholm积分方程这一典型的病态方程作算例验证了导出单位权方差无偏估计公式是正确的 ,可以用于正则化解的单位权方差估计。
2)  regularized solutions
正则化解
1.
It was shown that the regularized solutions will blow up if the exact solution is not smooth.
讨论关于不连续函数的数值微分问题,证明其正则化解的二阶导数的范数会出现趋向无穷的现象,并且证明这种趋向无穷的现象发生在不连续点附近。
3)  regularizable solution
可正则化的解
4)  Algebra regularization method
代数正则化解法
5)  positive solutions (regular solutions)
正解(正则解)
6)  weakly regular solution
弱正则解
1.
This paper considers a general linear elliptic complex equation of first order in the plane, and proves that the weakly regular solutions must be the regular ones under condition C ′.
考虑复平面上一般一阶线性椭圆型复方程 ,在条件 C′下 ,证明了其弱正则解必为正则解 。
补充资料:凡事豫则立,不豫则废
1.谓做任何事情,事先谋虑准备就会成功,否则就要失败。
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