渐近密度,asymptotical density

1)asymptotical density
渐近密度
1.
This paper gives a definition of equivalent set for the 3x+1 conjecture and constructs an equivalent set for the 3x+1 conjecture that is of arbitrarily small asymptotical density.
本文定义了３ｘ＋１猜想的等价集，并给出３ｘ＋１猜想的一个等价命题；构造出渐近密度可以任意小的３ｘ＋１猜想等价集。



2)Asymptotic
渐近
1.
Oscillatory and asymptotic behaviors of high-order nonlinear ordinary differential equation with impulses;
带脉冲高阶非线性微分方程解的振动性和渐近性


2.
Oscillatory and asymptotic behavior of higher order functional differential equation with impulses;
高阶线性脉冲泛函微分方程解的振动性与渐近性研究


3.
The Localized State, Extended State of Electron and Mobility Edges in Asymptotic Quasiperiodic Potentials;
渐近准周期势场中电子的局域态、扩展态和迁移率边界



3)Asymptotic method
渐近法
1.
With Liouville-Green transform, the asymptotic method to solve second homogeneous linearity equation was improved.
结合Liouville-Green变换,改进了求解变系数二阶线性齐次方程的渐近法。


2.
Reagarding the inertia force of rotor as the force acting on the shaft, the effect of thermal expansion upon the natural transversal vibration frequencies of rotor system is studied by a new nonlinear asymptotic method.
把转子的惯性力看成作用在轴上的外力,采用新的非线性渐近法研究热膨胀对转子系统固有横振频率的影响。


3.
The dual asymptotic method developed previously by the authors is employed to solve the finite element equation.
数值分析采用［３］中提出的两次渐近法。



4)approaching-electrode
渐近电极

5)asymptotic limit
渐近极限

6)asymptotic analysis
渐近分析
1.
The asymptotic analysis of interfacial stability with surface tension anisotropy for directional solidification of alloys;
各向异性作用下合金定向凝固界面稳定性的渐近分析


2.
Technique of asymptotic analysis in electromagnetic scatterings;
渐近分析在电磁散射中的应用


3.
Considering the effect of kinetic super-cooling on the interface and by means of asymptotic analysis theory,the stability of the liquid-solid interface of the spherical crystals growth in super-cooled pure melts is analyzed.
从Mullins-Sekerka理论出发,修改了Cristini和Lowengrub的动力过冷项,考虑界面上动力过冷的影响,应用渐近分析的理论继续分析过冷纯熔体中球状晶体生长液固界面的稳定性。



参考词条
渐近线 渐近公式 渐近分布 渐近稳定 渐近跟踪 渐近级数 渐近行为 渐近性质 种群统计学特征 抛物悬链线<测>
补充资料：渐近密度


渐近密度
asymptotic density

　　撇毗{as卿p咖。山”血，;一彻。~卜‘仔二称渐近守宁 自然数的数列的密度(densit)，of a sequen代)这一普遍概念的一种变形，用以度量全体自然数序列中有多大的部分属于给定的包含零在内的自然数序列A.序列A的渐近密度(asymPtot，e density)用实数，表示，由公式 ‘，l‘m‘nf一二立之 日卜汇军定义，这甲 州、)乏{.、于i a李数 刀俪、。p五旦 t，艺飞通常称为上渐近密度(up详r asymPtotie density).如果数，和夕重合，那么它们的共同值称为自然密度(n at盯a] density).例如，无平方因子数的序列具有自然密度b二6/二2.渐近密度的概念被用来寻找判别某序列是渐近基(asynlptotie basis)的准则. E_M.E详姚姗撰[补注】上面定义的数仪也称为下渐近密度(陌wefasymPtotic density).
　　
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渐近密度,asymptotical density