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1)  asymptotic degradation
渐近质量降级
2)  asymptotic property of estimator
估计量渐近性质
3)  asymptotic series
渐近级数
1.
In this paper,we describe the conceptions and relative propositions of Differential equations on manifold,Asymptotic series and Asymptotic series expansion,and then give examples solving Differential equations with the method of Asymptotic series expansion.
文章陈述了流形上微分方程、渐近级数和渐近展开等概念和相关命题,然后给出了例子,用渐近展开方法求解了微分方程。
2.
Three asymptotic series for dx under the condition that f(x) ∈ C∞[a,b] were obtained.
在条件f(x)∈C∞[a,b]之下,得到渐近于的三个渐近级数。
3.
The main purpose of this paper is using the analytic method which is not only quite different from Heath Brown s one,but also Masanori Katsurada and kohij Matsumoto s one to give an asymptotic series for the mean value where 0<σ1,σ2<1,t is an arbitrary real number, and P is prime.
本文利用解析方法给出了DirichletL-函数的二次均值 的一个渐近级数,其中0<σ1,σ2<1,t是任意实数,P是素数。
4)  asymptotic behavior
渐近性质
1.
Asymptotic behavior of thesolution of the neutron trans port equations with continuative energy and with generalized reflecting boundary conditions;
具广义边界条件及连续能量的中子迁移方程解的渐近性质
2.
We are interested in the asymptotic behavior of the solutions up(x,t) as p→∞ for N=1,when the initial value u0(x) has no compact support.
本文讨论了带吸收项的P-Laplace方程解当p→∞时的渐近性质。
3.
In this paper,we investigate the periodicity,asymptotic behavior and asymptotic stability of the solutions for difference equationxn+1=α+β(xpn-k)/(xpn-l)n=0,1,…where α≥0,β>0,p≠0,k and l are nonnegative integers,μ=max{k,l},and the initial values x-μ,x1-μ,…,x0 are arbitrary positive real numbers.
本文考虑差分方程xn+1=α+β(xpn-k)/(xpn-l)解的周期性、渐近性质和渐近稳定性。
5)  asymptotic property
渐近性质
1.
A asymptotic property of mean-value for the generalized Cauchy s mean-value theorem;
广义Cauchy中值定理“中值”的一个渐近性质
2.
In this paper,it presents some criteria for the asymptotic property for a class of second-order nonlinear differential equation with damping.
研究了一类二阶非线性阻尼微分方程非振动解的渐近性质,建立了3个渐近性定理,改进了已知的结果。
3.
In the paper,a generalization of weighted average intermediate theorem are given,and its asymptotic property for intermediate point are given.
给出了加权平均介值定理的一个推广,并讨论了相应介值点的一个渐近性质。
6)  asymptotic Properties
渐近性质
1.
The thesis gives asymptotic properties of the differential mean valueξcontained in Euler-Maclaurin numerical integral formula when the length of integral interval tends to be zero.
文章给出了Euler-Maclaurin数值求积公式中,当积分区间长度趋向于零时,微分平均值ξ的渐近性质。
2.
Moreover,asymptotic properties of isotropic constant of B~n_p is obtained as n→∞ and p→(∞.
该文证明当1≤p≤∞时,Bnp是迷向的凸体,并给出了Bnp的迷向常数公式,进一步得到当n→∞和p→∞时其迷向常数的渐近性质。
3.
In this paper,the asymptotic properties of in the integral mean value theorem has been considered,and the main result have be obtained limx→aξ-ax-a=n n1+1,ξ∈[x,a].
利用L’Hospital法则、带Peano余项的Taylor公式研究了积分中值定理中值点ξ的渐近性质,得出如下渐近公式:limx→aξ-ax-a=n n1+1,ξ∈[x,a]。
补充资料:渐近逼近法
分子式:
CAS号:

性质:又称润滑逼近,逐步逼近,渐近逼近法。是数学中求解函数的一种叠代方法。对函数类A中给定的函数f(x),要求在另一类较简单的便于计算的函数类B中,求函数p(x)∈B,使P(x)与f(x)之差在某种度量意义下最小。函数类A通常是C[a、b],函数类B通常是代数多项式、分式有理函数或三角多项式。

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