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1)  natural norm
自然范数
2)  regarding the nature as model
器范自然
3)  natural number
自然数
1.
The other method of finding sum of the kth power of natural number;
求自然数k次幂和的又一种方法
2.
The method of finding sum of the kth power of natural number;
求自然数k次幂和的一种方法
4)  natural logarithm
自然对数
1.
Through the discussion of computing formula for measuring high resistance by Mdoel NG82-1impact corrent galvanometer, it is discoverde that it is much casier to do calculation by natural logarithm.
通过对NG82-1型冲击电流计测高阻计算公式的讨论,找到用自然对数计算较为方便。
2.
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。
5)  natural numbers
自然数
1.
In this paper another conclusion is drawn that the natural numbers containing at least two odd approximate numbers can be separated in equal difference.
在原自然数分拆性质的基础上 ,另给出至少含有两个奇约数的自然数等差分拆的一个结
2.
In the theory of natural numbers, there lies concealed contradiction of logic on the infinity.
自然数理论在无限问题上隐含逻辑矛盾。
6)  natural parameter
自然参数
1.
In the teaching of the curve theory on differential geometry, several issues should be stressed and added that the curve r=r(t),a<t<b should be regarded as function but not the picture of quadrant; the relations between the curve in differential geometry and the curve in analytic geometry; the expression of the natural parameter of curve; independent constant variants s、k、 T.
在微分几何的曲线论教学中应注意强调或补充:应将曲线r=r(t),a
补充资料:Luxemburg范数


Luxemburg范数
Luxemburg nonn

L峨曰血叱范数〔I一血叱~;J如盆c服6yP住肋p-Ma] 函数 ,‘x!.(M,一、{*:*>o,丁、(,一’x(:))‘:‘1}, G这里M(u)是关于正的u递增的偶凸函数, 怒“一’M(u)一忽u(M(u))一,一0,对“>0,M(“)>0,且G是R”中的有界集.此范数的性质曾由W.A.J.h以油比飞〔11作了研究.L~b鸣范数等价于O正ez范数(见0口厄空间(C旧允2 sP创芜)),且 I{x}I(,)簇1 lx}I,蕊2 11 x 11(、).如果函数M(u)和N(u)是互补(或互为对偶)的(见O市口类(Or比zc地”‘、则 ,,·,,(一sun{)·(!,,‘!,“!:,,,,,《一‘,}·如果z‘(t)是可测子集E CG的特征函数,则 !l:二11‘M、-一下尖二一. ““启”‘川M一’(l/n篮‘E)’
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