1) pth power mean
p次幂平均
2) second power average
二次幂平均
1.
This paper has proved that a plane curve c is a circle if and only if c is the locus of a moving point that has a constant second power average of distances from n fixed points.
证明了平面上一条曲线是圆的充要条件是此曲线为到n个定点的距离的二次幂平均等于正常数的点的轨迹。
3) modulus of continuity in P-mean
P次平均模
1.
By using the tools of the module of continuity and modulus of continuity in P-mean, this paper discusses the conformal mapping from a unit circle onto a simply connected region enclosed by a smooth Jordan curve, about the smooth property of the boarder of which there are the Kellogg′s theorem and its extended Warschawski′s theorem.
从单位圆到以光滑 Jordan曲线为边界的单连通区域的共形映射 ,其边界的光滑性有经典的Kellogg定理及其推广的 Warschawski定理 ,本文以连续模、P次平均模为工具对原结果进行了深入的讨论 ,得到了更为一般的结果 。
4) even powers radial average values
偶次幂平均值
5) wighted means
r次加权幂平均
6) mean of integration of powe r
r次幂积分平均
补充资料：幂平均
设a1，a2，…，an为n个正数，则mr(a1，a2，…，an)＝ar1+ar2+…+arnn1r称为这n个正数的r次幂平均。当r＝1时，即为算术平均；当r→0时，mr(a)的极限存在，即为几何平均；当r＝-1时，即为调和平均。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条