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. | ||
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| + | == 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>\sum_{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>. | ||
Latest revision as of 16:23, 8 February 2024
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 
.
