reduced equation

Based on Moliere expansion potential, the equation of particle motion has been reduced to the nonlinear differential equation and looked for the solution of the equation by PLK method.

本文利用Moliere展开势，将粒子运动方程化为非线性微分方程；并用PLK方法找到了该方程的近似解析解；

Finally we find that the-effective critical current of RF-SQUID loop is greatly reduced by large fluctuation and the transition width can be determined with a simple equation.

结果表明：大的热涨落使RF-SQUID环路有效临界电流明显下降，从而使跃迁点大大提前，跃迁宽度满足一个普适表达式。

★ Using no shears distributive method, the three-rotations equation and the six-rotations equation we derived in tall buildings, are analogous to the three-moments equation, and when reduced to the matrix forms they take the shape of a band.

在高层建筑中，我们用无剪力分配法所导出的三转角方程及六转角方程是与三弯矩方程相类似的方程，写成矩阵形式呈带状。

For the case of a plane EM wave incident on a lateral layered dielectrics, Maxwell equations are reduced to Mathieu equation and Hill equation from which solutions of closed forms can be obtained.

对平面电磁波入射到横向分层不均匀介质上时的情形，麦克斯韦方程组可简化成马丢（Mathieu）方程和希尔（Hil）方程，据此可获得透射波和反射波场的解析表达式。

Thus, operations of solving the equation and inner storage capacity are greatly reduced.

从而使解方程的计算工作量和内贮容量大为减少.