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· 5 min read

Debugging is an essential task in programming that is often required. It involves meticulously examining a program step by step in order to identify the source of an error. When it comes to debugging Python code, it is typically prompted by an unexpected behavior or malfunctioning of the program.

· One min read

Show that the sum of the infinite series

log2elog4e+log16e+(1)nlog22ne+\log_{2}\mathrm{e}-\log_{4}\mathrm{e}+\log_{16}\mathrm{e}-\ldots+(-1)^{n}\log_{2^{2^{n}}}\mathrm{e}+\ldots

is

1ln(22)\frac{1}{\ln(2\sqrt{2})}

[ logab=c\log_{a}b=c is equivalent to ac=ba^{c}=b ]

· One min read
Sébastien Lorber
Yangshun Tay

Docusaurus blogging features are powered by the blog plugin.

Simply add Markdown files (or folders) to the blog directory.

Regular blog authors can be added to authors.yml.

The blog post date can be extracted from filenames, such as:

  • 2019-05-30-welcome.md
  • 2019-05-30-welcome/index.md

A blog post folder can be convenient to co-locate blog post images:

Docusaurus Plushie

The blog supports tags as well!

And if you don't want a blog: just delete this directory, and use blog: false in your Docusaurus config.

· One min read
Gao Wei

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Fundamental Theorem of Calculus
Let f:[a,b]Rf:[a,b] \to \R be Riemann integrable. Let F:[a,b]RF:[a,b]\to\R be F(x)=axf(t)dtF(x)= \int_{a}^{x}f(t)dt. Then FF is continuous, and at all xx such that ff is continuous at xx, FF is differentiable at xx with F(x)=f(x)F'(x)=f(x).