1) uniformly non square
一致非方
1.
It is shown that Banach space X is locally uniformly non square if and only if d X(x,1)>0 for all x∈S(X) ; X is strongly strictly convex if and only if whenver for any x∈S(X),y n∈S(X) and α∈R, if ‖x+αy n‖→0 , and ‖x-αy n‖→1, then α=0 ;and X is strongly strictly convex if and only if X is midpoint locally uniformly convex.
证明了Banach空间X是局部一致非方的当且仅当对任意x∈S(X),都有dX(x,1)>0;X是强严格凸的当且仅当对任意x∈S(X),yn∈S(X)和α∈R,若‖x+αyn‖→1和‖x-αyn‖→1,则α=0;并证明了X是强严格凸的充要条件为X是中点局部一致凸
2) unanimous nonsquareness
一致非方性
1.
Hence we finished the discussion on the unanimous nonsquareness of Orlicz space under the James′s mearning.
Rao和任重道的专著《ApplicationsofOrliczSpaces》第二章第三节定理 1(ii)和定理 2 (i)的证明 ,从而完成了关于James意义下Orlicz空间一致非方性质的讨
3) uniformly nonsquare space
一致非方空间
4) locally uniformly non square
局部一致非方
1.
It is shown that Banach space X is locally uniformly non square if and only if d X(x,1)>0 for all x∈S(X) ; X is strongly strictly convex if and only if whenver for any x∈S(X),y n∈S(X) and α∈R, if ‖x+αy n‖→0 , and ‖x-αy n‖→1, then α=0 ;and X is strongly strictly convex if and only if X is midpoint locally uniformly convex.
证明了Banach空间X是局部一致非方的当且仅当对任意x∈S(X),都有dX(x,1)>0;X是强严格凸的当且仅当对任意x∈S(X),yn∈S(X)和α∈R,若‖x+αyn‖→1和‖x-αyn‖→1,则α=0;并证明了X是强严格凸的充要条件为X是中点局部一致凸
5) Consistent
一致
1.
MLS linear fitting is one of the most important methods in data treating,but it is difficult to make the line and the equation consistent.
MLS直线拟合数据处理中,画出的拟合直线和所求的拟合方程不一致是一个非常普遍的问题。
6) consistence
一致
参考词条
补充资料:非想非非想处天
1.佛教语。即三界中无色界第四天。此天没有欲望与物质﹐仅有微妙的思想。
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