本文利用完全椭圆积分的某些组合之性质，给出了M。
By means of properties of certain combinations of complete elliptic integrals, the authors provide a negative answer to m.
应用第一类完全椭圆积分求出了非线性振动周期的精确解。
The exact solution of the period is got by using the first kind of complete elliptic integral.
问题的讨论有助于我们掌握解决涉及椭圆积分物理学问题的方法。
Discussion on the problem may help us to master the method solving this kind of the physics problem of elliptic integrals.
特别地，作者运用此法则，证明并改进了关于完全椭圆积分的一个猜测。
In particular, a conjecture on complete elliptic integrals is proved to be true and improved.
运用磁场的叠加原理及第二类完全椭圆积分，给出了椭圆形稳定电流环垂直轴上的磁感应强度。
According to the superposition principle and the second kind of complete ellipse integral, the magnetic field current circle was calculated.
但是，由于涉及椭圆积分，一般又不具有均匀电荷环空间势分布的对称性，求解和讨论是比较困难的。
However, because this problem involves elliptic integrals, generally not possessing symmetry of a uniformly charged ring, it is difficult to solve and discuss it.
夏鸾翔是晚清较早研究微积分的中算家，据其《致曲术》、《万象一原》，可知他在二次曲线求积问题上得到了比较全面的成果，有的已超过《代微积拾级》，某些成果近似近代的椭圆积分。
This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji.
你们都知道，要求这个面积是非常简单的，如果你们想的话，可以积分除了椭圆函数以外的任何函数。
So, you know, if you find that the area is too easy, you can integrate any function other than ellipse, if you prefer.
本文采用比较积分法的分析原理探讨了插补椭圆的原理和步骤，并结合实例进行了探讨。
The paper discusses the principle and approach about the ellipse interpolation by the principle of comparing integral interpolation.
在分析比较积分插补方法的基础上，研究了比较积分椭圆曲线的插补方法，推导了该方法的基本原理表达式。
Based on analyzing the characteristic of comparative integration interpolation, the interpolation method for ellipse arc is researched, and the fundamental formula is obtained.
以椭圆的离心角为积分变量，得到椭圆柔性铰链的转角计算的积分公式，推导出椭圆柔性铰链的刚度表达式。
In this paper, an integral formula for elliptical flexure hinge is deduced by introducing centrifugal Angle as the integral variable.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
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