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.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
最后讨论了求积公式、归一化、对称化和GPC实验谱图的峰加宽改正问题。
The problem of quadrature formula, normalization, symmetrization and peak spreading correction for experimental GPC chromatograms after partial smoothing or fitting a curve is discussed.
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