Category:Definitions/Summations
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This category contains definitions related to Summations.
Related results can be found in Category:Summations.
Let $\map R j$ be a propositional function of $j$.
Then we can write the summation as:
- $\ds \sum_{\map R j} a_j = \text{ The sum of all $a_j$ such that $\map R j$ holds}$.
If more than one propositional function is written under the summation sign, they must all hold.
Subcategories
This category has only the following subcategory.
Pages in category "Definitions/Summations"
The following 35 pages are in this category, out of 35 total.
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- Definition:Set of Summands
- Definition:Sum of Finite Set
- Definition:Summand of Summation
- Definition:Summation
- Definition:Summation by Inequality
- Definition:Summation by Inequality over Multiple Indices
- Definition:Summation by Iverson's Convention
- Definition:Summation by Propositional Function
- Definition:Summation over Finite Index
- Definition:Summation over Finite Subset
- Definition:Summation over Set with Finite Support
- Definition:Summation/Also known as
- Definition:Summation/Finite
- Definition:Summation/Finite Support
- Definition:Summation/Index Variable
- Definition:Summation/Indexed
- Definition:Summation/Inequality
- Definition:Summation/Inequality/Examples
- Definition:Summation/Inequality/Multiple Indices
- Definition:Summation/Inequality/Multiple Indices/Examples
- Definition:Summation/Inequality/Multiple Indices/Examples/Sum of Subscripts
- Definition:Summation/Infinite
- Definition:Summation/Notation
- Definition:Summation/Propositional Function
- Definition:Summation/Propositional Function/Iverson's Convention
- Definition:Summation/Summand
- Definition:Summation/Summand/Infinite
- Definition:Summation/Vacuous Summation
- Definition:Symmetric Function/Elementary