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1)  arithmetic sum
算术平均求和
1.
As a result, the arithmetic sum is stronger than the Abel sum.
文章主要是对满足某些条件的发散级数给出两种不同的求“和”定义,即算术平均求和与Abel求和,它与通常数学分析中Cauchy意义下所定义的求和是有区别的。
2)  sum-average arithmetic
求和平均
1.
Methods of weak signal detecting in micromechanical gyroscopes always can’t efficiently suppress noises intraband, so a sum-average arithmetic based on completed periodicity sampling, which implements low filtering and downsampling equivalently, is put forward.
针对常用的微机械陀螺微弱信号检测方法不能很好地抑制信号带内噪声的不足,提出了一种基于整周期采样的求和平均处理算法,该算法等效地实现了低通滤波和减采样的功能。
3)  averaging operator
求平均算子
4)  arithmetic average
算术平均
1.
Some elementary proof on equivalence of relation between exponential average E(a,b) (=1/e(b~b/a~a)~(1/(b-a)), a, b are non-equal two positive numbers) and arithmetic average M(o,b)(=1/2(a+b)) were given.
给出指数平均(a,b是不相等的两正数)与算术平均关系的初等证明。
2.
In this paper, we analyzed the relationship between the number of drawn sort standards and the total number of national standards by using grey incidence analysis and arithmetic average method, obstained the distributed situation and tendency of the sort standards in recent years, and discussed the relationship between drawn sort standards and national standard systems.
文章运用灰色关联分析方法和算术平均方法分析了不同类别国家标准制定数与国家标准总数的关系,得到了国家标准中分类标准的分布情况,了解了制定的国家标准的变化趋势,同时探讨了不同类别制定国家标准与我国国家标准体系的关系。
5)  arithmetic mean
算术平均
1.
By differential criterion of convex function in several variables,this paper proves that the arithmetic mean involving convex function is convex to upper limit and lower limit of the integral,which improves a result relating to the S-convex function,with the latter proved by Elezovic,N.
利用二元函数为凸函数的微分判别准则,证明了二阶可微的一元凸函数的算术平均值关于积分上下限为凸函数,加强了其是S-凸函数的一个结论。
2.
Furthermore, a monotonic continuous function joint and separate the weighted arithmetic mean and harmonic mean is given.
在一定条件下得到加权的算术平均、几何平均和调和平均不等式链的一种加细形式,并由此推出加权的 ky Fan 不等式和王王不等式。
3.
For improving the control of subdivision curves, the method based on employing geometric mean instead of arithmetic mean is proposed in the linear four-point scheme, to obtain nonlinear subdivision scheme,and the offset parameters is introduced for improving the control of subdivision curves.
为了提高对细分曲线形状控制,提出以几何平均(ab)~(1/2)替换四点插值细分算法中的算术平均(a+b)/2 ,从而得到非线性的均匀细分算法,引入偏移参数以提高细分曲线形状控制。
6)  arithmetic-geometric-hermonic mean
算术-几何-调和平均
补充资料:算术平均求和法


算术平均求和法
rithmetical averages, summation method of

  算术平均求和法[arithme‘回ave砚es,s~ati哪Ine-th记of;q珍闷圈以.脚冲M曰脸,汉洲.%Mer叭cy林袱po.胡.,} 级数和数列的求和法之一级数 乏从 为“按算术平均法是可和的(粗~able饰thom{“th(xlof’arithmetical aver:、罗s),其和为、,如果 l,,。全二二一二兰一二、 月笑nt:其中气一艺:_1“、在这种情况一F,亦称序列{气}可用算术平均法求和而得到极限5.算术平均求和法亦称一阶Ce-s钮m求和法(Ces么ro summati训meth闻s),算术平均求和法是完全正则的(见正则求和法(regUI盯sum-n笼ltion mcthods))和迁移的(见求和法的迁移性(、tran-slatzvity of a summation method))[补注1在英文文献中有时用“arithmeti以1 me“ns”一词代替“arithmet;cala、erages“(见(【AI}),}月‘s呱-mability“一词代替“summation”:summabilit、,mc-t坛对.
  
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