Difference between revisions of "Pi notation"

(Created page with "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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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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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 ==
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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 $m$ and $n$ such that $m \leq n$ and any function $a(x)$ defined on the integers, we write $\sum_{k=m}^n a(k)$ for the product $a(m)\cdot a(m+1)\cdot a(m+2)\cdot a(m+3)\cdots a(n-1)\cdot a(n)$.