
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 30th, 2014, 03:53 PM  #1 
Senior Member Joined: Nov 2013 Posts: 137 Thanks: 1  Diffential elements and analysis dimensional
The definition for volume element is simples, is , ok. But, if you integrate this you'll have problems, because no make sense in the right side of equation and, on the other hand, no make sense in the left side of equation... so, this problem is eliminated if you define the volume element like , now the tiple integral make sense: However, to think if a quantity physical, in infinitesimal size, have simple, double, triple, ..., differential is nonintuitive, is a concept very analytical. But, ignore this information is metematically wrong. So, which is correct form for deal with this? Last edited by Jhenrique; March 30th, 2014 at 03:55 PM. 
March 31st, 2014, 01:02 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,730 Thanks: 689 
You seem to be hung up on notation. If V stands for volume, then dV is understood to mean volume element, putting in 3 as an exponent doesn't change the meaning.


Tags 
analysis, diffential, dimensional, elements 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Tricky dimensional analysis  Djordje8  Physics  0  February 10th, 2014 06:07 AM 
Analysis of Image superimposing using numerical analysis  saugata bose  Computer Science  0  March 8th, 2013 11:03 AM 
Dimensional analysis (Weir Eq.)  bofeity  Physics  6  February 6th, 2012 08:13 PM 
Diffential of dy  layd33foxx  Calculus  10  November 28th, 2011 09:43 AM 
Dimensional analysis  MasterOfDisaster  Physics  6  June 9th, 2011 08:47 AM 