My Math Forum Summation
 User Name Remember Me? Password

 Algebra Pre-Algebra and Basic Algebra Math Forum

 November 24th, 2010, 09:46 AM #1 Member   Joined: Nov 2010 Posts: 48 Thanks: 0 Summation Let B be a finite subset of the set of real numbers and let b1,b2,...,bn be the elements of the set B. If F:{1,2,...,n}-->{1,2,...,n} is a bijective function, then by using also the commutative property of real numbers (a+b=b+a for every a,b?R) is been proved that b1+b2+...+bn=bF(1)+bF(2)+...+bF(n). Thus we can represent the sum b1+b2+...+bn as ?b?Bb. Proof (by mathematical induction) that for A,B two finite subsets of the set of real numbers with A?B=? that ?x?A?Bx=?a?Aa+?b?Bb. Sorry if I have grammar mistakes (I'm from Greece).

 Tags summation

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Etyucan Calculus 5 February 16th, 2012 10:05 PM renzokuken Calculus 2 February 5th, 2012 06:51 PM pradeey Abstract Algebra 1 September 16th, 2009 04:23 AM RFurball Linear Algebra 1 June 7th, 2009 04:54 AM micahat Algebra 1 May 31st, 2009 01:38 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top