A sample page #

In this post I am checking out the capabilities that are needed for visualizing mathematics.

For example, $\LaTeX$:

\[ \begin{aligned} KL(\hat{y} || y) &= \sum_{c=1}^{M}\hat{y}_c \log{\frac{\hat{y}_c}{y_c}} \\ JS(\hat{y} || y) &= \frac{1}{2}(KL(y||\frac{y+\hat{y}}{2}) + KL(\hat{y}||\frac{y+\hat{y}}{2})) \end{aligned} \]

Interactive GeoGebra demo #

Here is a GeoGebra demo of Pascal’s theorem. You can’t access the main menu but you can use the construction tools. First we show both in a 2-column format. Unfortunately the GeoGebra borders are huge and I don’t know how to omit them.

Here are the same demos at full size.

ganja.js demo #

Finally, in the same way it’s possible to inclue ganja.js demos, such as the following simple example generated by joining points on the unit circle according to the rule $z \rightarrow z^n$ where $n$ is a fixed integer.

The $(x,y)$ position of the red and cyan points control 4 parameters of the algorithm. See if you can discover which ones.

Formatted math #

It is possible to include latex code in the posts here. The following LaTeX

 
   \[ 
   \begin{aligned}
   KL(\hat{y} || y) &= \sum_{c=1}^{M}\hat{y}_c \log{\frac{\hat{y}_c}{y_c}} \\
   JS(\hat{y} || y) &= \frac{1}{2}(KL(y||\frac{y+\hat{y}}{2}) + KL(\hat{y}||\frac{y+\hat{y}}{2}))
   \end{aligned}
   \]
   
   

is formatted as:

\[ \begin{aligned} KL(\hat{y} || y) &= \sum_{c=1}^{M}\hat{y}_c \log{\frac{\hat{y}_c}{y_c}} \\ JS(\hat{y} || y) &= \frac{1}{2}(KL(y||\frac{y+\hat{y}}{2}) + KL(\hat{y}||\frac{y+\hat{y}}{2})) \end{aligned} \]