况且，在平衡计算中常常发生比四次方程还高的高次方程。
Moreover equations of degree higher than quartic often arise in equilibrium calculations.
根据经典力学和德布罗意理论，运用四次方程理论，推出了圆锥摆的能谱。
According to classical mechanics and DE Broglie theory, this paper USES quadruplicate equation theory, and deduces the energy spectrum of conical pendulum.
本文用四次方程代替常用的几个二次方程曲线的回转体，来描述对称裂交的大形变过程。
In the paper, large deformation of symmetry fission has been described by a biquadratic surface revolution instead of several quadratic equations.
本文讨论了一元四次方程无实根的一些充分、必要条件，并得到了一元四次方程无实根的一个充要条件。
In this paper, we discuss when a quartic equation has no real roots, and obtain a necessary and sufficient condition on a quartic equation which has no real roots.
如果我们已知介质中横波与纵波速度的比值、水平界面的埋藏深度和炮检距，炮点到共转换点的水平距离就可以通过解一个四次方程求出。
Given the velocity ratio of S-to P-waves, the depth of reflector and the offset, the horizontal distance between source and the converting point can be determined by solving a quartic equation.
如果我们已知介质中横波与纵波速度的比值、水平界面的埋藏深度和炮检距，炮点到共转换点的水平距离就可以通过解一个四次方程求出。
Given the velocity ratio of S-to P-waves, the depth of reflector and the offset, the horizontal distance between source and the converting point can be determined by solving a quartic equation.
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