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He has shown great enthusiasm for astronomy.

他对天文学有极大的兴趣。

An asymptotic expansion of the errors with O(h3) is shown. Therefore , by using extrapolation we can improve the accuracy order of approximations.

该方法的优点在于奇点处权函数的选择，并且证明了误差有h3幂渐进展式，从而可以利用外推达到加速收敛的目的，更好地提高了计算精度。

The closed-form formula and its asymptotic form of system outage probability are derived, through which it is shown that the outage probability decreased by a factor of γ-KNtNr here γ denotes the average SNR

理论推导出中断概率的闭式解及其近似解，通过该近似解，可以得到中断概率以γ-KNtNr 的形式减少这里γ是平均信噪比SNR

The main contributions in this area are summarized as follows,? The closed-form formula and its asymptotic form of system outageprobability are derived, through which it is shown that the outage probability decreased by a factor ofγ~(hereγdenotes the average SNR);? The closed-form formula of outage capacity is derived, through which weshow that 1 outage capacity increases with the increases of mean value of sytem SNR, and decreases with the increase of the variance of system average SNR; 2 in order to obtain higher outage capacity, the number of transmit antenna should be no more than that of receive antennas.?

特别的，针对多用户发送天线选择／最大比合并系统，主要贡献总结如下：·理论推导出中断概率的闭式解及其近似解，通过该近似解，可以得到中断概率以γ~的形式减少(这里γ是平均信噪比SNR)·推导出平均中断容量的闭式表达式，研究表明：1中断容量随着有效平均SNR的均值的增加而增加，随着有效平均SNR的方差的增大而减小；2为了获得更高的中断容量，发送天线的数目应当不大于接收天线的数目。

It is shown that the leading term of interior asymptotic solutions is exactly the solution of Kirchhoff plate theory.

结果表明，内域解渐近级数的首项正是熟知的Kirchhoff板理论解。

By investigating the convexity, monotonicity and asymptotic behaviour of the optimal value function, it is shown that the optimal policy is of simple hedging point structure and featured by several hedging points.

通过研究最优值函数的凸性、单调性和渐近性，证明了最优策略具有简单的阈值结构且被几个阈值参数完全刻画。

It is shown that the far-field divergence angle of nonparaxial rotationally LG beams approaches to an asymptotic value of 63.435° as the initial waist-width to wavelength ratio w0/λ approaches zero,which is independent of the order.

计算结果表明，当初始束腰宽度和波长之比w0／λ趋于0时，对任意非傍轴旋转对称LG光束，远场发散角趋于渐近值63.435°，与阶数无关。

However under certain reasonable probabilistic assumptions regarding single member failure, system loading and member load sharing, it can be shown that the system failure time is asymptotically normally distributed as the number of members grows large.

可是，在一定的合理随机假设下，考察单个构件破坏、系统的载荷及构件的受载情况，可以表明：当构件数目增加很大时，系统的破坏时间是渐近正则分布的。

It is shown that if R01, it is unstable, but the endemic equilibrium is locally asymptotically stable.

并证明了，如果R01，则它是不稳定的，但是，地方病平衡点是局部渐近稳定的。

Using tools in nonlinear H∞-control theory, it is shown that under mild conditions, the resulting closed loop system is locally asymptotically stable.

利用非线性H∞-控制一个基本结果证明了在较弱的条件下，所得到的闭环系统是局部渐近稳定的。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。