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Hence, it is vital for us to derive positive implications from the thought-provoking drawing.

因此，至关重要的是，我们能够从发人深省的客厅产生积极的影响。

Accordingly, it is vital for us to derive positive implications from these thought-provoking drawings.

因此，重要的是，我们应该从这些引人深思的图画中得到一些积极的暗喻。

Secondly,we derive the complete decomposition of U(1) and SO(2) gaugepotential using the unit vector of the wave function,through which we show thatthere exists a topological invariant number in quantum mechanics,which iscorresponding to the winding number.

其次，我们用波函数的单位矢量导出了U(1)和SO(2)规范势的完整分解式，表明在量子力学中存在着一个对应于环绕数的拓扑不变量。

Those with this type of genealogy have no compassion and derive pleasure from tormenting others.

那些该类型宗谱者是没有同情心的，并从折磨他人中获得乐趣。

Adding boundary conditions in whole equations in the wavelet Galerkin method frequently does with its of differential equations. The result can derive by solving transcendental equation, which make unknow quantity number and the number of system of equation become nonuniformity.

经常采用的小波Galerkin方法对微分方程边界条件的处理，均是将边界条件作为附加方程补充到整体方程中，从而求解超越方程组得到原方程的解，这导致了求解过程出现的方程组个数与未知量个数不一致。

As the true capacity formula for blind-CSI in both transmitter and receiver is hard to obtain, we derive its independent upper bound instead, and establish a close-form expression of the independent bound for any memory order $M$.

由於，在传送端与接收端均无「频道状态资讯」的情况下，管道传输极限的计算相当困难，因此我们转而探讨其「独立上界」。

Multiple antenna arrays are often used to overcome the effect of channel fading which is caused by multipath interference. In chapters 4 and 5 ,we derive spatial correlation equations of ULA ,UCA and CRA for two types of angular spread distributions (uniform distribution and truncated Gaussian distribution).We also compare the difference between these antenna arrays by showing the bit error rate simulation results and discuss the relationship between BER and spatial correlation. In a multi-user mobile radio environment , we present simulation results to show that adaptive MBER algorithms have better performance than the traditional MMSE algorithm.

多天线阵列常被用来克服多重路径干扰导致通道衰减的影响，我们对各种天线阵列架构进行比较，在第四、五章中推导出ULA、UCA与CRA个别对两种角度扩散机率密度分布的空间相关性函数，由实际实验模拟的位元错误率图形比较天线阵列间的差异，并讨论位元错误率与空间相关性之关连，在多用户端行动通讯环境下，我们也由模拟验证可适性MBER演算法，会比传统MMSE准则有更好的效果。

Although medium economy is in,30 years unboiled water had a wind in the past, but at present agency is managed in advertisement income still is main income, agency is autogenous, derive wait for relevant resource development is insufficient.

虽然传媒经济在过去30年间风生水起，但目前媒介经营中广告收入仍是主要收入，媒介自生、衍生等相关资源开发不够。

Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations.

基于吴消元法和"分治"策略，改进了基于标度不变性构造非线性微分差分方程多项式形式守恒律的待定系数算法，并在计算机代数系统Maple上实现了改进后的算法，其中的软件包CLawDDEs可自动推导出微分差分方程的守恒密度及连带流。

The flexible manufacturing systems considered in the paper consist of possible unreliable workstations, whose inputs may be random. We derive the optimal input and service feedback control policy by using the uniformization technique and stochastic dynamic programming. It is shown that the optimal policy is of bang-bang type. Numeric example is given to illustrate the results.

对于具有随机输入和随机需求的一类不可靠柔性制造系统，利用转移率一致化技术和随机动态规划方法，给出了输入率和服务率分配的最优反馈控制策略，指出系统的最优控制具有bang-bang形式的开关结构，数值例子验证了文中的结果。

We have limited budget let me know if you can do this competitively.

我们有限的预算让我知道如果你能做到这一点竞争力。

We don't know how other critters breathe--lizards, for example.

我们还不知道诸如蜥蜴之类的动物如何呼吸。