We have 15 points {Ai} placed within the unit sphere. What is the maximum possible value of
∑1≤i<j≤15 ∣∣AiAj∣∣^2?
Details and assumptions
Each of the points Ai=(xi,yi,zi)∈R ^3 satisfy xi^2+yi^2+zi^2 ≤1.
∑1≤i<j≤15 ∣∣AiAj∣∣^2?
Details and assumptions
Each of the points Ai=(xi,yi,zi)∈R ^3 satisfy xi^2+yi^2+zi^2 ≤1.