Operators > Calculus Operators > Summation Operator
Summation Operator
The summation operator calculates the sum of all the elements in a vector or calculates the sum of an expression that contains a range variable.
The summation operator has three forms:
Operator
Description
Returns the summation of all the elements in vector v.
Returns the summation over i of expression X.
Returns the summation of expression X as j goes from m to n.
Operands
v is a vector.
i is the name of range variable.
j is the name of a local range variable.
X is an expression that typically contains i or j and that evaluates to a real number.
m, n are real numbers. n > m.
Additional Information
Leave the bottom or top placeholders of the summation operator empty depending on the kind of summation you want to perform.
When you define a range variable inside the summation operator, type equal after the local range variable name or insert the local range operator from the Ribbon.
Since variables m and n are real numbers, it follows that you can specify non-integer real limits such as m=0.4 and n=3.7. In this case, the number of elements that are operated on by the summation operator may vary depending on the actual values of m and n.
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