Difference between revisions of "Pi notation"
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| − | Pi notation is a method used to represent the product of terms. It is similar to [[Sigma notation]] but uses a capital letter Pi. | + | '''Pi notation''' is a method used to represent the product of terms. It is similar to [[Sigma notation]] but uses a capital letter Pi. |
== Definition == | == Definition == | ||
| − | For any integers <math>m</math> and <math>n</math> such that <math>m \leq n</math> and any function <math>a(x)</math> defined on the integers, we write <math>\ | + | For any integers <math>m</math> and <math>n</math> such that <math>m \leq n</math> and any function <math>a(x)</math> defined on the integers, we write <math>\prod_{k=m}^n a(k)</math> for the product <math>a(m)\cdot a(m+1)\cdot a(m+2)\cdot a(m+3)\cdots a(n-1)\cdot a(n)</math>. |
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Latest revision as of 13:09, 24 March 2025
Pi notation is a method used to represent the product of terms. It is similar to Sigma notation but uses a capital letter Pi.
Definition
For any integers 
and 
such that 
and any function 
defined on the integers, we write 
for the product 
.
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