regularity conditions meaning in English

正则条件
正则性条件

To this end , some mild regularity conditions are imposed and an asymptotic distribution theory is established for modified statistic
在适当的正则条件下，对修正的经验似然比统计量给出了渐近分布理论。
In this paper , we first focus on the anisotropic finite elements and construct a hermite rectangular finite element which can be applied in 2nd order elliptic problem . lt is proved that this finite element has anisotropic property and its error estimate is obtained without the limitation of regularity conditions
本文首先对各向异性有限元进行了研究，构造了一个用于二阶问题的hermite型矩形元，证明了该单元具有各向异性特征，并且给出了与剖分的正则性无关的误差估计。