code
所属分类:Python编程
开发工具:Python
文件大小:0KB
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上传日期:2024-02-02 07:06:55
上 传 者:
sh-1993
说明: 多种编程语言(Python、Mojo…)中的编码练习
(Coding exercises in multiple programming languages (Python, Mojo...))
文件列表:
.vscode/
mojo/
python/exercises/
## Coding exercises in Python and Mojo
$1.\quad S(n) = 1 + 2 + 3 + ...+ n.$ [Python](https://github.com/bumbii/code/blob/main/python/exercises/001/001.py) [Mojo](https://github.com/bumbii/code/blob/main/mojo/exercises/001/001.mojo)
$2.\quad S(n) = 1^2 + 2^2 + 3^2 + ... + n^2$ [Python](https://github.com/bumbii/code/blob/main/python/exercises/002/002.py) [Mojo](https://github.com/bumbii/code/blob/main/mojo/exercises/002/002.mojo)
$3.\quad S(n) = 1 + \frac{1}{2} + \frac{1}{3} + ... + \frac{1}{n}$ [Python](https://github.com/bumbii/code/blob/main/python/exercises/003/003.py) Mojo](https://github.com/bumbii/code/blob/main/mojo/exercises/003/003.mojo)
$4.\quad S(n) = 1 + \frac{1}{4} + ... + \frac{1}{2n}$
$5.\quad S(n) = 1 + \frac{1}{3} + \frac{1}{5} + ... + \frac{1}{2n + 1}$
$6.\quad S(n) = \frac{1}{1 * 2} + \frac{1}{2 * 3} + ... + \frac{1}{n * (n + 1)}$
$7.\quad S(n) = \frac{1}{2} + \frac{2}{3} + \frac{3}{4} +... + \frac{n}{n + 1}$
$8.\quad S(n) = \frac{1}{2} + \frac{3}{4} + \frac{5}{6} +... + \frac{2n + 1}{2n + 2}$
$9.\quad T(n) = 1 * 2 * 3 * ... * n$
$10.\quad T(x, n) = x^n$
$11.\quad S(n) = 1 + 1 * 2 + 1 * 2 * 3 + ... + 1 * 2 * 3 * ... * n$
$12.\quad S(n) = x + x^2 + x^3 + ... + x^n$
$13.\quad S(n) = x^2 + x^4 + ... + x^{2n}$
$14.\quad S(n) = x + x ^ 3 + x^5 + ... + x^{2n + 1}$
$15.\quad S(n) = 1 + \frac{1}{1 + 2} + \frac{1}{1 + 2 + 3} + ... + \frac{1}{1 + 2 + 3 + ... + n}$
$16.\quad S(n) = x + \frac{x^2}{1 + 2} + \frac{x^3}{1 + 2 + 3} + ... + \frac{x^n}{1 + 2 + 3 + ... + n}$
$17.\quad S(n) = x + \frac{x^2}{2!} + \frac{x^3}{3!} + ... + \frac{x^n}{n!}$
$18.\quad S(n) = 1 + \frac{x^2}{2!} + \frac{x^4}{4!} + ... + \frac{x^{2n}}{(2n)!}$
$19.\quad S(n) = 1 + x + \frac{x^3}{3!} + \frac{x^5}{5!} + ... + \frac{x^{2n + 1}}{(2n + 1)!}$
20. List all divisors of a positive integer n
## References
1. Programming Exercises (Vietnamese: Bài tp k thut lp trình) - Author: Nguyn Tn Trn Minh Khang (My teacher at University (University of Sciences, HCM City))
2. Python in highschool - Author: Arnaud Bodin
3. [How to write mathematical expressions on Github](https://docs.github.com/en/get-started/writing-on-github/working-with-advanced-formatting/writing-mathematical-expressions)
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