yasminparr3237 yasminparr3237
  • 11-06-2017
  • Mathematics
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What does it mean when there is nothing on top of sigma?

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LammettHash
LammettHash LammettHash
  • 11-06-2017
The upper limit of summation is usually omitted when the index is obvious from the context.

Example: If we know [tex]a_n[/tex] is an infinite sequence (i.e. a function [tex]a_n:\mathbb N\to\mathbb R[/tex], for instance), then we can denote the summation of all the terms in the sequence by

[tex]\displaystyle\sum_{n=1}^\infty a_n[/tex]

or by

[tex]\displaystyle\sum_n a_n[/tex]
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