This is the beginning of my plan. Or this is a manifesto, a motivation for me. Note what I read, good or bad, old or new, Tao or method. Maybe sometimes not care about the formal usage of the language. From the words I write down, may that someday I can comprehend the theory directly without the words.
The normal or Gaussian distribution is often denoted by $\mathcal N(\mu,\sigma^2)$. When a random variable $X$ is distributed normally with mean $\mu$ and variance $\sigma^2$, we write $X \sim \mathcal N(\mu,\sigma^2)$. The formula for the distribution is