My Math Forum Distances between matrix-slices in a cube

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 April 2nd, 2016, 01:52 PM #1 Newbie   Joined: Apr 2016 From: St. Louis, MO Posts: 2 Thanks: 0 Distances between matrix-slices in a cube I'm trying to find a good way to represent a distance matrix D where each i-th, j-th value of this matrix is the distance between matrix-slice i and matrix slice j. I asked on MSE (with better detail) but haven't heard a response yet: linear algebra - Optimized Distance Calculation for Data Cube - Mathematics Stack Exchange Any help would be great!
 April 2nd, 2016, 03:27 PM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 Perhaps you did not get a response there because no one could understand what you were asking. What is meant by a "matrix slice" and how are you defining the "distance" between two "matrix slices"?
 April 4th, 2016, 08:01 AM #3 Newbie   Joined: Apr 2016 From: St. Louis, MO Posts: 2 Thanks: 0 $\displaystyle D_{a,b} = \|C_{a}-C_{b}\| = \sqrt{\sum_{i=1}^n\sum_{j=1}^m C_{i,j,a}-C_{i,j,b} } ~~~\in \mathbb{R}$
 April 4th, 2016, 08:48 AM #4 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 You still haven't said what a "matrix slice" is. I assume that "$C_a$" and "$C_b$" are the "matrix slices" but I don't know what those are.

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