My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 17th, 2017, 10:46 PM   #1
Newbie
 
Joined: Jan 2017
From: Romania

Posts: 1
Thanks: 0

Calculate all possible moves of m distinct balls into a N points space

We have a n-dimensional finite space formed by N points distributed equidistant in that way:
We start from a point named origin, and then put equidistant around it points in n-dimension, layer by layer, in the way that in 2-dimension formed equilateral triangles, in 3-dimension formed regulate tetrahedral, and so on.
In that finite space there are, in the way described above, L layers of points around point of origin.
We have m number of distinct balls that occupied m points in space N. Every ball has neighbor points that can be occupied or unoccupied by other balls for a reference time step. Every ball can move to one of neighbor unoccupied points in next time step.
How can be calculated the maximum number of possible moves that all m balls can do in next time step, no matter of initial position in space N (sum of total possible moves of each ball in next time step)?
Please, I need a math formula.
If you need more details please tell me.
Khadras is offline  
 
Reply

  My Math Forum > College Math Forum > Calculus

Tags
balls, calculate, distinct, moves, points, space



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Select 5 balls from 12 balls, where some balls are identical Skyer Algebra 3 January 6th, 2014 11:26 AM
distinct points on a circle guru123 Algebra 2 June 24th, 2012 04:59 AM
Ordered distribution of distinct objects into distinct conta metamath101 Algebra 2 June 22nd, 2012 04:59 PM
Connecting two points in 3D space. BillT Linear Algebra 0 October 27th, 2011 12:51 PM
sequence of distinct points, cluster values pascal4542 Complex Analysis 0 April 28th, 2010 09:51 PM





Copyright © 2019 My Math Forum. All rights reserved.