View source for User:Jal

Computer science graduate student from Cambridge, England. Gaming journalist.

>> Using this as a testbed for some math formatting.


In this case, the cosine between items 1 and 2 is:

<math>\frac{(1,0,0)\cdot (0,1,1) }{  \Vert (1,0,0)\Vert \Vert (0,1,1)\Vert }= 0</math>, 


The cosine between items 1 and 3 is:

<math>\frac{(1,0,0)\cdot (1,1,0) }{  \Vert (1,0,0)\Vert \Vert (1,1,0)\Vert }= \frac{1}{\sqrt{2}}</math>,


Whereas the cosine between items 2 and 3 is:

<math>\frac{(0,1,1)\cdot (1,1,0)}{  \Vert (0,1,1)\Vert \Vert (1,1,0)\Vert }= \frac{1}{2}</math>.