Category:Definitions/Continued Products
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This category contains definitions related to Continued Products.
Related results can be found in Category:Continued Products.
Let $\struct {S, \times}$ be an algebraic structure where the operation $\times$ is an operation derived from, or arising from, the multiplication operation on the natural numbers.
Let $\tuple {a_1, a_2, \ldots, a_n} \in S^n$ be an ordered $n$-tuple in $S$.
Definition by Index
The composite is called the continued product of $\tuple {a_1, a_2, \ldots, a_n}$, and is written:
- $\ds \prod_{j \mathop = 1}^n a_j = \paren {a_1 \times a_2 \times \cdots \times a_n}$
Subcategories
This category has only the following subcategory.
I
Pages in category "Definitions/Continued Products"
The following 23 pages are in this category, out of 23 total.
C
- Definition:Continued Product
- Definition:Continued Product by Inequality
- Definition:Continued Product by Iverson's Convention
- Definition:Continued Product by Propositional Function
- Definition:Continued Product/Also known as
- Definition:Continued Product/Index
- Definition:Continued Product/Index Variable
- Definition:Continued Product/Inequality
- Definition:Continued Product/Multiplicand
- Definition:Continued Product/Notation
- Definition:Continued Product/Propositional Function
- Definition:Continued Product/Propositional Function/Iverson's Convention
- Definition:Continued Product/Vacuous Product