こんにちは！

Where do thoughts come from?

A biologist might say it’s inside our brains. We chemists would argue it’s caused by minute reactions that release energy. Physicists, well, would just blame the Maxwell equations.

Regardless of what it is, I hope you, dear reader, can enjoy all the thoughts that I’ll be dumping on this site—from academic ideas, broke-college-student recipes, and even 日本語の練習.

… now don’t mind the rest of this post, ‘cause I’ll also be testing .md and thoughts page styling here.

Experiments ahead! [2#]

Math

Inline equation: $1+2=3, \hat{H}\psi = E\psi$.

Equation block:

$$J(\theta_0, \theta_1) = \frac{1}{m} \sum_{i=1}^m (h_\theta(x^{(i)})-y^{(i)})^2$$

Align block:

$$\begin{align*} \theta_0 &:= \theta_0 - \alpha \frac{1}{m} \frac{\partial J}{\partial \theta_0} \\ &= \theta_0 - \alpha \frac{1}{m} \sum_{i=1}^m(h_\theta(x^{(i)})-y^{(i)}) \end{align*}$$

Code

def func():
    #this is python code

Images

Sample photo from Helene Lopes