E（自然对数定义）

彩色定义

number_e

\newcommand{\growth}{\color{c1}}
\newcommand{\naturallog}{\color{c2}}
\newcommand{\unitInterest}{\color{c3}}
\newcommand{\timetogrow}{\color{c4}}
\newcommand{\unitTime}{\color{c5}}

\displaystyle{
\naturallog \ln(a)
\plain =
\timetogrow \int _{1}^{a}
\unitInterest {\frac {1}{x}} dx
}
\displaystyle{
\naturallog \ln(
\growth{e}
\naturallog )
\plain =
\unitTime 1
}

\naturallog The natural log
\plain is
\timetogrow the time to grow from 1 to a value
\
\plain using
\unitInterest 100\% continuous interest.
\
\growth e is the number
\plain that takes
\naturallog the natural logarithm
\
\unitTime 1 unit of time to reach.
## 延伸阅读 - [指数函数与e的直观指南](https://betterexplained.com/articles/an-intuitive-guide-to-exponential-functions-e/) - [e的常见定义（彩色版）](https://betterexplained.com/articles/definitions-of-e-colorized/) - [揭秘自然对数](https://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/)

文章