# Difference between revisions of "Summation"

m (spelling) |
m (→Definitions: only one definition) |
||

Line 1: | Line 1: | ||

A '''summation''' is a form of shorthand used often. | A '''summation''' is a form of shorthand used often. | ||

− | == | + | ==Definition== |

For <math>b\ge a</math>, and a set <math>c</math> (or any other algebraic structure), <math>\sum_{i=a}^{b}c_i=c_a+c_{a+1}+c_{a+2}...+c_{b-1}+c_{b}</math>. Note that if <math>a>b</math>, then the sum is <math>0</math>. | For <math>b\ge a</math>, and a set <math>c</math> (or any other algebraic structure), <math>\sum_{i=a}^{b}c_i=c_a+c_{a+1}+c_{a+2}...+c_{b-1}+c_{b}</math>. Note that if <math>a>b</math>, then the sum is <math>0</math>. | ||

## Revision as of 12:40, 23 November 2007

A **summation** is a form of shorthand used often.

## Definition

For , and a set (or any other algebraic structure), . Note that if , then the sum is .

## Rules

- , and in general

## Special Summations

Certain types of summations are different from the common variety, such as cyclic sums, and symmetric sums.