渐

Smarandache function ; Asymptotic formula ; Equation ; Positive integer solutions ; Infinity series

Smarandache函数；渐近公式；方程；正整数解；无穷级数

The clutter is assumed to be of Weibull distribution or characterized by a log-normal distribution. It is presented that a detailed derivation of the formula about asymptotic relative efficiencies of generalized sign test and Mann-Whitney detector are compared with optimum linear parametric detector.

选择韦伯分布和对数正态分布为两种非瑞利杂波模型，推导广义符号和Mann-Whitney检测器相对于最佳线性参量检测器的渐近相对效率的计算公式。

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

The induction periods and particulate fouling asymptotic resistances of arc line tube were obtained by comparative experiment under various particulate concentration and liquid velocity. The flow field and shear stress in the arc line tube were numerically simulated and analyzed.

文中通过不同流速和微粒浓度下微粒污垢的加速实验，得到了弧线管微粒污垢渐近热阻值和诱导期；同时，用数值方法模拟了弧线管的内部流场和壁面剪切力。

Results Two new asymptotic formulae on their mean value are given.

结果 给出两个新的数论函数均值的渐近公式。

Study about the first mean value theorem for integrals,which obtain a new results on the mean value asymptotic behavior.

研究积分第一中值定理，获得了其中值渐近性的一个新结果。

Number theory function; Smarandache function; Mean value; Asymptotic formula

基础科学，数学，代数、数论、组合理论数论函数； Smarandache函数；均值；渐近公式

Based on the solution for incompressible materials, the asymptotic solution of the order up to ∈~2 is obtained.

第一种方法以学术界普遍接受的高玉臣与Rice等的不可压缩(ν=1/2)理想弹塑性扩展裂纹尖端场为基础，以ε=1/2-ν为小参数作摄动展开，得到了直到ε~2阶的渐近解。

This technique is used for the axisymmetric magneticstatic problems and the result is good. In the second example of the forth chapter, the error of the third–order Asymptotic Boundary Condition is lower than that of the second-order Asympototic Boundary Condition.

第五章针对这一问题，进一步对渐近边界条件进行了推导，分析了一些特殊电荷和电流分布情况下，电位、标量磁位和矢量磁位的多极矩展开式中各极矩项的性质。

Some known results are generalized.Second,the global asymptotic stability for a higher order rational difference equation was investigated by using "Subsequence Analysis Method " in Chapter 3,and the "Semi-cycle Analysis Method" is a extension and supplement of "Semi-cycle Analysis Method".

因此，本文第三章应用"子序列分析法"研究了一类高阶的有理差分方程解的全局动力行为，进一步得到了此类高阶有理差分程解得全局渐近稳定的一些充分条件，一些已知的结果被推广。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。