Difference between revisions of "Summation"
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A '''summation''' is a form of shorthand used often. | A '''summation''' is a form of shorthand used often. | ||
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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 
, and in general 
Special Summations
Certain types of summations are different from the common variety, such as cyclic sums, and symmetric sums.
