查询词典 consistent equations

The article first theoretically analyzes the principle that microcavity reduces threshold 、changes resonant modes of output light and enhances unidirection of the random laser.Then study the structure parameters of different microcavity by transfer matrix.Based on the theory of Maxwell equations and the rate equations, analyze the principle that microcavity reduces the threshold by FDTD method: Changing the confined position,reducing relaxation time and increasing reversing particles, also simultaneously study the influences of the threshold and output light modes by different microcavities and random intensity of random medium.

首先从理论上分析了利用微腔降低随机激光器阈值、改变出射光振荡模式、提高出射光准直性的原理，然后利用传输矩阵法模拟研究了不同的微腔应具有的结构参数，最后以麦克斯韦方程和速率方程理论为基础，利用时域有限差分法分析了利用微腔降低阈值的原理：改变局域化位置、缩短弛豫时间及增大粒子数反转，同时也模拟研究了微腔、随机介质的随机强度对阈值及出射光波模式的影响。

Considering that thermodynarmic irreversibility and hydrodynamic equations can not be derived rigorously and unifiedly from the Liouville equations, the anomalous Langevin equation in the Liouville space is proposed as a fundamental equation of statistical physics.

考虑到热力学不可逆性和流体力学方程不能严格统一地从刘维方程推导出，本文提出了刘维空间的反常朗之万方程作为统计物理的基本方程。

Firstly, all of univariant line equations are attained; secondly, a crossing point (φ i , pH i ) is got by solving univariant line equations including a main component one another; thirdly,φ i is compared with the chemical potentials φ of other components in this crossing point by chemical potentials minimization.

提出了一种新的绘制φ—pH 图的方法，即先求出所有的单变线方程，再选取某一种组分Mi 为主组分，把含有该组分的所有单变线方程两两求解，求出交点，然后用化学势约束原理法，将主组分同其它组分在该点的化学势作比较，若前者的化学势小于后者，则该点为所求的三相点。

The models combined with the constitutive equations for upper convected Maxwell, the momentum equations, the continuity equation and boundary conditions of two channel model, were used to building the complete mathematics model.

为此，本文做了以下工作：首先，为了形成对粘弹性聚合物溶液在微观孔隙中流动行为的完整的数学描述，便于从理论上研究粘弹性流体的微观驱油效率，本文针对残余油的多种微观存在形式，使用了两种孔隙模型：扩张通道模型、带横向槽的流道模型。

The linearized reflectivity equations are combined with the linearized rock physics equations, convolved with the specified wavelets, and equated to the seismic data.

线性化反射率方程与线性化岩石物理方程相结合，与指定的子波卷积，并等于地震数据。

So, some research on plane steering six-bar linkage has been done in this project as follows: based on the condition equation of correct steering and the equations of two closed loop of steering mechanism, a set of three equations in three variables can be obtained after a variable is expurgated with the elimination method.

本课题对平面转向六杆机构进行了如下的研究：根据转向条件方程，与转向机构的两个闭环方程，采用消元法消去一个未知变量，得出了转向六杆机构关于输入角的目标函数方程；利用边界条件，得出一个包含三个变量、三个方程的方程组

The advan tages and disadvantages of using the normal equations to fit a hyperbola were an alyzed. The hyperbola fitted by SVD was used to express the change of the laser beam's width, and the rules for estimating the goodnessoffit were offered. The fitting precisions of hyperbolas fit with the normal equations and the SVD were compared.

通过分析激光光束质量参数测量中应用正规方程组拟合双曲线的优缺点，给出采用奇异值分解拟合激光光束束宽变化双曲线的拟合优度判断方法，并对比了奇异值分解和正规方程组两种双曲线拟合方法的拟合精度。

Based on an unstructured grid, finite-volume coastal ocean model, the complete three-dimensional fine-solution equation group of shallow-sea tide is adopted to calculate the tide in Qinzhou Bay. The equation group consists of tide-control equations and obturating turbulence equations.

基于采用不规则三角网格和有限体积方法的FVCOM模式，建立钦州湾三维潮流数值模型来重现钦州湾的潮位和潮流变化状况。

The remnants of ellipticity in the parabolized stability equations for three dimensional parallel incompressible boundary layer flow are studied, detail methods for removing the ellipticity are suggested, and the consistence of solutions between the parabolized stability equations and the fully elliptic problem is provoed.

针对三维平行不可压边界层流动的抛物化稳定性方程，研究其剩余的椭圆特性，提出了消除该特性的具体方法，并对抛物化稳定性方程解与全椭圆问题解的一致性进行了证明。

On rearranging the above equations, we obtain the following set of equations.

在对上述方程整理后，我们得到了以下的方程组。

I hope that this success is just the first in a long series.

我希望这只是成功的开始。

Three dimensional stresses on the interface of tire and soil, tire deflection and soil sinkage are measured.

测试轮胎——沙土界面上的三向应力、轮胎变形和沙土沉陷；建立考虑剪切应力对沙土承载特性产生影响的车轮牵引性能预测模型；分析车轮作用下土壤的纵向稳定性。