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1)  asymptotic formula
渐近式
1.
An asymptotic formula for an arithmetical function is obtained and the result of Qiu Zhuo-ming is improved by the application of the other problem.
应用初等数论方法证明了其中一个问题,并就另一问题加以推广,给出了一个数论函数的渐近式结果,推广了前人的结论。
2)  asymptotic formula
渐近公式
1.
A new arithmetic function and its asymptotic formula;
一个新的算术函数和它的渐近公式(英文)
2.
An asymptotic formula involving e-divisor function;
关于e-因子函数的一个渐近公式
3.
On an asymptotic formula of the multi-group combinatorial numbers;
关于多组组合数的一个渐近公式
3)  Asymptotic formulas
渐近公式
1.
We consider the lcm-sum function h(n)=sum from i=1 to n[i, n] and give the asymptotic formulas for the partial sums of its Dirichlet series.
本文主要讨论了最小公倍数的和函数,我们给出了其Dirichlet级数部分和的渐近公式。
2.
On the basis of requesting another factorization of an integer in only one way,two interesting asymptotic formulas on cub complements are obtained through the elementary method.
在通过对任一正整数提出另外一种唯一分解式的基础上,利用初等方法得到了关于立方补数的几个有趣的渐近公式。
3.
In this paper,we study the properties of the sequences {pd(n)} and [qd(n)},and give two interesting asymptotic formulas.
用初等方法研究了序列p_d(n)和q_d(n)的均值性质,并给出了两个有趣的渐近公式。
4)  asymptotic expansion
渐近展式
1.
Under some Suitable Conditions,we givethe asymptotic expansion of solution of any order, .
0<ε〈〈1,在适当的条件下,作出了任意次精度的渐近展式。
2.
The main purpose is to prove thatthe Galerkin solution for the nonlinear singular problem possesses theasymptotic expansion as in the linear singular problem case.
本文讨论一类非对称非线性奇异两点边值问题有限元解的渐近展式,证明了非线性问题的解与一个辅助线性问题的解之间具有超逼近,从而对线性问题所具有的高精度性质对非线性问题同样成立。
5)  asymptotic form of the solution
渐近逼近式
6)  asymptotic expansion
渐近展开式
1.
By using the Lindatedt-Poincare method,introducing the transformation of parameter and eliminating the secular terms in the formal solution,the first order uniformly valid asymptotic expansion is obtained.
讨论了一类二阶弱非线性常微分方程,利用Lindstedt-Poincare法,引入参量变换,消去形式解中出现的长期项,得到了解的一阶一致有效的渐近展开式。
2.
In this paper,the author discusses the multi-layer solution with two special limits in boundary layer of the singularly perturly boundary value problem and obtains uniformly valid zero order asymptotic expansion by using the matching asymptotic expanding method.
利用匹配渐近展开法 ,讨论了奇摄动边值问题中边界层内存在有两个特异极限的多层解 ,得出了奇摄动边值问题的一致有效的零次渐近展开
3.
Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.
研究拟线性双曲型方程柯西问题,在一定假设下,得到解的M阶一致有效的渐近展开式,并作出余项估计。
补充资料:渐近式


渐近式
asymptotic expression

  渐近式【.、ym ptotiee邓~ion~m~删-p.翻泊.e】 同渐近公式lasymptotzcfo,mula,
  
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