在柱坐标系中，求出了绝对零度情况下近理想玻色气体涡旋态的波函数和能量的近似解析形式。
Approximate analytical solutions of wave function and energy of vortex in the cylindrical coordinates system are obtained for the near-ideal Bose gases at zero temperature.
用解析方法计算了受静水外压载荷作用的有环壳过渡段的锥—柱组合壳中的应力值，并用瑞利法计算了其失稳临界载荷。
Stresses in cone cylinder shells with toroidal transition inserted are investigated by an analytical method, and buckling pressures for the shells are presented by Rayleigh Ritzs method.
利用部分相干光理论，推导出柱坐标系下平顶高斯光束模相关系数的解析表达式。
By using the theory of partially coherent light, the analytical expression for the mode coherence coefficients of flattened Gaussian beams has been derived in the cylindrical coordinate system.
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