用 Mathematica 计算级数展开

[mathjax] 在看文章的时候总是能遇到各种计算问题,比如这个:求一个级数 (s(t)),使它在 (\infty) 处的 Taylor 展开具有形式:[\sum_{m\ge 2}\frac1{m}t^{-m}.] 手算验证当然费...

April 12, 2012 · tt4

校园、春天

今天天气不错,拿手机在校园里拍了几张照片。貌似iPhoto的水彩画风格不错! 宁静的校园. more 明媚的阳光在小路上的投影. 过度水彩画以后的效果. 玉...

April 7, 2012 · tt4

Fiddle around with Lambert W function

Title: Date: [mathjax] These days I was fiddling around with one particular parameterization for Lambert curve. Although it was not that hard, I was happy that finally I made it clear. The problem is like this: a Lambert curve is a curve given by [C = {(z,w) ; | ; z = w e^w } \subset \mathbb{C}^* \times \mathbb{C}^*.] Note that the above equation defines (w) as an implicit function of (z)....

April 7, 2012 · tt4

Raabe 判别法与 Euler 算子

Raabe 判别法与 Euler 算子

利用热力学原理计算热床的极限温度