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We studied the asymptotic properties of the integer part of the k-th root positive integer and gave an interesting asymptotic formula.

研究了一个关于正整数κ次根的整数部分序列的均值，并利用初等的方法得到了一个有趣的渐近公式： 3。

By deleting integral singular point, the Green function and its far field asymptotic formula that is satisfied with radiation condition is obtained.

对兴波速度势表达式中的积分奇点进行了处理，得到满足辐射条件的格林函数和远场渐近解。

Using the elementary methods, we studied the hybrid mean value involving Smarandache function and the least prime divisor function, and gave an asymptotic formula.

用初等的方法研究了一个Smarandache函数与最小素因子的均值，并得到一个渐近公式。

In comparison to the asymptotic formula for the independent case,ours contains an extra factor representing the impact of the dependence of X and Y.

我们的结果显示，当单个索赔额分布F为指数分布时，上述尾概率均与gamma分布尾概率与某因子的乘积渐近等价。

Some methods mentioned in the elementary number theory and analytic number theory are used to consider the problems which are related with the Smarandache functions, then a conjecture and an asymptotic formula are given, a special equation is solved and Smarandache-Riemann sequences are generated.

本论文基于对Smarandache问题的学习与研究，运用了初等数论与解析数论中的一些研究方法，对与Smarandache函数相关的问题进行了简单的思考，给出了一个猜想，一个渐近公式，解决了一个特殊的方程，推广了Smarandache-Riemann序列。

This paper introduced the odd sieve sequence, the methods of character, estimate and triangle sum are used to study the mean value of the divisor function. An asymptotic formula of the divisor function is gave in the odd sieve sequence set to through the analytical method.

引入了奇筛数序列，主要利用特征和估计及三角和方法，研究了除数函数的均值性质，并通过解析方法给出了除数函数在奇筛数序列集合中的一个的渐近公式。

Under the assumption that the claimsizes are subexponentially distributed and negatively dependent, a simple asymptotic formula on finite-time ruin probability is obtained.

在索赔额分布为负相依的次指数分布假定下，建立了有限时间破产概率的一个渐近等价公式。

Both of them are the normal distance of the tangent plane at the check point on the limit state surface in the generalized stochastic space and the asymptotic formula for Laplace''s integral respectively.

提出了利用广义随机变量空间失效极限状态曲面上验算点处切平面法线和Laplace型积分渐近公式两种确定任意分布的荷载变量相关下结构的可靠指标的新方法，改进了现行防波堤失效概率计算理论。

Based on the excitation mechanics of evanescent-wave pumped WGM fiber laser and the analytic asymptotic formula to determine the resonant positions of a WGM,the observed experimental results are well explained.

根据消逝波激励的WGM光纤激光的激励机制，结合圆柱型微腔中确定WGM共振位置的解析渐近公式，合理地解释了观察到的实验结果。

The result obtained shows that the asymptotic formula of finite-time ruin probability which holds in the case that the claimsize is independent, identically distributed i.i.d.

所得结果显示，在独立同分布索赔额情形，有限时间破产概率的有关渐近等价公式，在负相依场合依然成立。

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％。