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1·The paper discusses the establishment foundation of Jacobi elliptic function theory.

讨论雅可比椭圆函数理论建立的理论基础。

2·The approach of realization of the elliptic function complementary filter has been given.

提出了椭圆函数互补滤波器的实现条件。

3·Semiopenloop microstrip resonators are utilized to realize the quasi elliptic function response.

该滤波器采用半开环结构微带谐振腔，产生准椭圆函数响应。

4·An elliptic function wave solution of the molecular crystal model with the dispersion term on a ring is found.

得到了环上的有色散项的分子晶体模型的椭圆函数波解。

5·The quasi-elliptic function filter with one transmission zero has the better selectivity than the general Chebyshev filter.

带有一对传输零点的准椭圆函数滤波器相比切比雪夫型滤波器具备更好的选择性。

6·By electric field coupling, three second-order bandpass filters with elliptic function response and high miniaturization performance were design and fabricated.

采用电场耦合方式分别设计并加工了三个小型化性能非常突出的具有椭圆函数响应的二阶带通滤波器。

7·The external potential has many forms, such as harmonic oscillator potential, optical lattice potential, elliptic function potential, double well potential, and so on.

外势有许多形式：简谐外势、光晶格外势、椭圆函数外势、双阱外势以及含时线性外势等等。

8·The first generalization is that the expansion of solutions of equations is generalized to negative exponent, and negative exponential elliptic function solutions are obtained.

第一种推广为，将方程解的展开式扩展到负指数，可以求得方程的负指数的椭圆函数解。

9·The transmission zeros(TZ) of Quasi-elliptic function filter could be placed in any position, so the attenuation out of band is controllable, then a high selection performance could get.

准椭圆函数滤波器的传输零点，可以位于阻带内的任意位置处，这能更加灵活地对滤波器的带外抑制度进行调节，其矩形系数可以做得很高。

10·The results indicate that the time evolution function of charge or current is the Jacobian elliptic function instead of a sine one, and the squeezing effect appears periodically in the circuit.

结果表明：电荷与电流的时间演化函数由雅可比椭圆函数替代，而且在电路中显示周期性压缩效应。