We need a long mathematical treatment. 我們需要作許多數學解釋。
The characteristic equation of calculating the thaw bulb was drawn by mathematical simplification, and a satisfied solution was obtained by difference method. 通過一定的數學處理得到了計算融化圈的特徵線方程，並採用差分法進行求解特徵線方程，獲得了滿意的結果。
It is then subject to such mathematical indignities as wavelet decomposition, multi-resolution Fourier analysis, polyphase filtering and discrete cosine transformation. 接下來它還要經過一些數學處理程序，比如小波分解，多重解析度傅立葉分析，多相過濾，離散餘弦變換等。
