We need a long mathematical treatment. 我们需要作许多数学解释。
The characteristic equation of calculating the thaw bulb was drawn by mathematical simplification, and a satisfied solution was obtained by difference method. 通过一定的数学处理得到了计算融化圈的特征线方程，并采用差分法进行求解特征线方程，获得了满意的结果。
It is then subject to such mathematical indignities as wavelet decomposition, multi-resolution Fourier analysis, polyphase filtering and discrete cosine transformation. 接下来它还要经过一些数学处理程序，比如小波分解，多重分辨率傅立叶分析，多相过滤，离散余弦变换等。
