精确解

In order to obtain more exact analytical solution to study the output characteristics of double-clad fiber lasers,according to the continuous-wave rate equations of fiber lasers,using typical parameters of double-clad fiber lasers,the contribution of the re-emission effect arising from the interaction between the upper-level atoms and pump light was estimated.Taking into account the predominant part of the re-emission to improve the accuracy of the integration approximated rate equations,the integration of the product of the loss and radiation should be found and explicit analytical expressions for the output of the DCFLs and gradient efficiency of the pump radiation,were deduced,and certain issues of concern were discussed.

为了求得用于研究双包层光纤激光器输出特性的更为精确的解析解，根据稳态速率方程组，针对典型的双包层光纤激光器参量，在估计了上能级粒子再发射项和抽运光产生的影响后，采用保留再发射贡献主导部分的办法以提高可积分近似方程的精确度，明确地提出了要获得光纤激光器输出功率的解析表达式的关键在于求出损耗系数与光场乘积的积分值，简洁地求得了输出功率和抽运光斜线效率的显函数解析表达式，并对其相关问题进行了讨论，以915nm，920nm和975nm的抽运光为例，当输出激光为1090nm时，得出975nm抽运光产生的斜率效率最高并可高达约87%。

These shifts can be established by calibration against a distribution of well-located earthquakes and assembled in tomographic images for predicting various phase-delays.

在精确地震定位和准确机制解的条件下，我们将TriNet记录到的120个地震相对于一维模型的时移用于面波层析成像反演，得到了南加州地区的一个面波层析成像模型。

A precise iteration scheme is developed to solve critical values of cross-sectional areas and internal forces by using the exact relation between displacement arid strain along with constraints of unity stress intensity of members and the Euler's stability condition.

引入杆件应变能密度为1的条件，以欧拉稳定条件为约束，在精确的变形－位移下构造了高精度的迭代方法，准确地求解了杆件截面积和内力的稳定临界解。

Based on the nonlinear geometric relation between strain and displacement of flexible cable , the equilibrium equation under self-weight and influence of temperature are established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system is accurately obtained.

根据柔索应变与位移的非线性几何关系以及自重作用和温度影响下的平衡方程，采用欧拉描述的坐标系统精确地求得了各点的位移和张力的解析解。

On the basis of nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and the influence of temperature, an analytical solution of displacement and tension for every point defined in Eulerian coordinate system is obtained accurately.

根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程，采用欧拉描述的坐标系统，精确地求得了各点的位移和张力的一般解。

On the basis of nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and influence of temperature, an analytical solution of displacement and tension for every point defined in Eulerian coordinate system is obtained accurately.

根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程，采用欧拉描述的坐标系统精确求得各点的位移和张力的一般解。

In order to reduce the effects of the force model errors on the coordinate solution, an extended Kalman filter has been proposed with short-arcs consisting of only a few consecutive passes of satellite over the tracking station.

为尽量减小力学模型不精确在站坐标解中带入的误差，本文采用推广Kalman滤波归算仅由单站二次卫星接续通过的测距资料以估计测站坐标的方法。

She's so incisive when it comes to deconstructing the middle class.

她尤其能精确的解构中产阶级

In Chapter 4, by means of the result obtained in Chapter 2 and as in the autonomous case, the author adopts a direct constructive method and obtains the local exact controllability for general nonautonomous first order quasilinear hyperbolic systems.

在第四章，作者以第三章建立起来的半整体C~1解理论为基础，采用一个与自治系统情况相似的直接构造方法得到了非自治一阶拟线性双曲组的局部精确能控性。

In order to encourage commercial banks to deploy more ATMs, China's central bank allows them to charge foreign fee. We show that, on the contrary to central bank's aim, foreign fee decreases commercial banks' incentive to deploy more ATMs. We construct a Salop model to analyze three conditions: no-fee, foreign fee and surcharge.

更重要的是，在分析跨行费率和额外费率时，我们得出了比较精确的数值解，这可以为银行制定费率时提供借鉴；交换费和ATM的边际成本相等或者两者至少不能相差过大对整个银行体系而言是有关键意义的，希望规制者能着重考虑。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。