Test
Nested and mixed lists are an interesting beast. It’s a corner case to make sure that
- Lists within lists do not break the ordered list numbering order
 - Your list styles go deep enough.
 
Ordered – Unordered – Ordered
- ordered item
 - ordered item
    
- unordered
 - unordered
 
- ordered item
 - ordered item
 
 - ordered item
 - ordered item
 
Ordered – Unordered – Unordered
- ordered item
 - ordered item
    
- unordered
 - unordered
 
- unordered item
 - unordered item
 
 - ordered item
 - ordered item
 
Unordered – Ordered – Unordered
- unordered item
 - unordered item
    
- ordered
 - ordered
        
- unordered item
 - unordered item
 
 
 - unordered item
 - unordered item
 
Unordered – Unordered – Ordered
- unordered item
 - unordered item
    
- unordered
 - unordered
        
- ordered item
 - ordered item
 
 
 - unordered item
 - unordered item—
 
Equation Test without MathJax
In N-dimensional simplex noise, the squared kernel summation radius $r^2$ is $\frac 1 2$ for all values of N. This is because the edge length of the N-simplex $s = \sqrt {\frac {N} {N + 1}}$ divides out of the N-simplex height $h = s \sqrt {\frac {N + 1} {2N}}$. The kerel summation radius $r$ is equal to the N-simplex height $h$.
\[r = h = \sqrt{\frac {1} {2}} = \sqrt{\frac {N} {N+1}} \sqrt{\frac {N+1} {2N}}\]layout: post
title:  “Welcome to Jekyll!”
date:   2015-11-17 16:16:01 -0600
categories: jekyll update
—
You’ll find this post in your _posts directory. Go ahead and edit it and re-build the site to see your changes. You can rebuild the site in many different ways, but the most common way is to run bundle exec jekyll serve, which launches a web server and auto-regenerates your site when a file is updated.
To add new posts, simply add a file in the _posts directory that follows the convention YYYY-MM-DD-name-of-post.ext and includes the necessary front matter. Take a look at the source for this post to get an idea about how it works.