What Does the Limit of Summation i<j Mean?

  • Context: Undergrad 
  • Thread starter Thread starter AKBAR
  • Start date Start date
  • Tags Tags
    Limits Summation
Click For Summary
SUMMARY

The limit of a summation defined as i PREREQUISITES

  • Understanding of summation notation
  • Basic knowledge of mathematical limits
  • Familiarity with index variables in summations
  • Concept of strict inequalities in mathematics
NEXT STEPS
  • Research the properties of summation notation in mathematics
  • Learn about strict versus non-strict inequalities
  • Explore examples of summations with varying limits
  • Study the implications of index variables in mathematical proofs
USEFUL FOR

Students, mathematicians, and educators seeking clarity on summation limits and index variables in mathematical expressions.

AKBAR
Messages
5
Reaction score
0
Hi,

I'm having some trouble understanding what is meant when the limit of a summation is i<j. Does it mean the limits are i = 0 to i = j?

Thanks!
 
Physics news on Phys.org
If i is always strictly less than j, then index i's maximal value is j-1.
 

Similar threads

Undergrad How Can Nested Summation Functions Be Simplified or Reversed?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Why is Griffiths Treating the Summation Like This?
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Index notation and partial derivative
  • · Replies 6 ·
Replies
6
Views
3K
High School I don't recognize this limit of Riemann sum
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Order of summation in series with multiple indices
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad To What Extent Can You Manipulate Limits?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Does this "theorem" of limits hold in general?
  • · Replies 1 ·
Replies
1
Views
1K
Notion of an integral as a summation
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Classifying Series Summation $$ \sum_{i=0}^{n} 2^{2^i} ~ ?$$
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How Do You Prove the Limit of a Riemann Summation Integral?
  • · Replies 7 ·
Replies
7
Views
2K