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Radial visualization & spring forces

  • Thread starter jst
  • Start date
jst
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Hi, I am taking a Data Mining course and have this problem in radial visualization. To complete this problem, we use some physics formulas, which I really do not understand.

Derive formulas for radial visualization of:

a. 3-dimensional samples

b. 8-dimensional samples

2. Homework Equations

Here's what our notes have:
http://glomawr.com/radialvisualization.jpg [Broken]

3. The Attempt at a Solution

I thought it would be very similar to the example in the notes so for part A I did:

x = (K1 - K3 - K5 - K7)/(K1 + K2 + K3 + K4 + K5 + K6 + K7 + K8)
y = (K2 - K4 - K6 - K8)/(K1 + K2 + K3 + K4 + K5 + K6 + K7 + K8)

and part B, I did:

x = (K1 - K3)/(K1 + K2 + K3)
y = (K2)/(K1 + K2 + K3)

I am told: "sqrt (2)/2, or sqrt(3)/2 or 1/2 are in the final expressions because of trig functions: sin and cos for angles of 30, 45 or 60 degrees."

I'm really lost, our book doesn't have what I need it sort of assumes that this example was enough, but I'm lost. I really don't need the solution, as much as an explanation of how to do it myself.

Thanks a lot,

Jason
 
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