Maclaurin's expansion

Through the application of Maclaurin formula,it is proved that if and only if f(p)=a1p+a2p2+…+anpn,f(p) has unbiased estimator, and unbiased estimator of f(p) is given.

总体服从二项分布B(n,p),p为未知参数,应用麦克劳林公式,得出了只有当f(p)=a1p+a2p2+…+anpn时,函数f(p)才存在无偏估计,并给出了无偏估计量。

Starting from the steady-state performance of three-phase fully-controlled rectified circuit, which is with large inductive load, we take the front two items of the Maclaurin series of the DC voltage average as approximate formula, with considering of the effect of the AC-side inductance first, and further effect of AC resistance on DC voltage and commutation angle.

本文从带有高感性直流负载的三相全控整流电路稳态工作的物理情况出发,首先考虑了交流侧电感的影响,进而考虑交流侧电阻对直流电压、换相角的影响,将直流电压的平均值用麦克劳林级数表示,取前两项作近似,得出了实用的解析计算公式,并给出了计算步骤,实验证明该结果具有较高的精度。

The paper introduces an algorithm to natural logarithm based on Maclaurin series.

基于麦克劳林级数公式计算自然对数,构造计算式向1逼近,从而加快级数的收敛速度。

Its result shows that under the restricted condition of both point gravity potential equality for pole and equator, the boundary surface with in the double layer ellipsoid limitlessly being tendency to the ellipsoid surface, the interior ellipsoid of the parameter ellipsoid tends to Maclaurin ellipsoid.

对“参数椭球”的数学性质进行了初步研究 ,在极点和赤道重力位相等的约束条件下 ,当“双层椭球”内的界面无限趋向参数椭球表面时 ,参数椭球的内椭球趋向麦克劳林椭球。