Definition:Sequence of Partial Products
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Definition
Let $p$ be the infinite product:
- $\ds p = \prod_{n \mathop = 1}^\infty a_n$
The sequence $\sequence {p_N}$ defined as:
- $\ds p_N: = \prod_{n \mathop = 1}^N a_n = a_1 \cdot a_2 \cdots a_N$
is the sequence of partial products of the infinite product $\ds p = \prod_{n \mathop = 1}^\infty a_n$.
Sources
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): partial product