Category:Definitions/Pointwise Multiplication
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This category contains definitions related to Pointwise Multiplication.
Related results can be found in Category:Pointwise Multiplication.
The (binary) operation of pointwise multiplication is defined on $\mathbb F^S$ as:
- $\times: \mathbb F^S \times \mathbb F^S \to \mathbb F^S: \forall f, g \in \mathbb F^S:$
- $\forall s \in S: \map {\paren {f \times g} } s := \map f s \times \map g s$
where the $\times$ on the right hand side is conventional arithmetic multiplication.
Pages in category "Definitions/Pointwise Multiplication"
The following 10 pages are in this category, out of 10 total.
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- Definition:Pointwise Multiplication
- Definition:Pointwise Multiplication of Complex-Valued Functions
- Definition:Pointwise Multiplication of Integer-Valued Functions
- Definition:Pointwise Multiplication of Rational-Valued Functions
- Definition:Pointwise Multiplication of Real-Valued Functions
- Definition:Pointwise Multiplication on Ring of Mappings
- Definition:Pointwise Multiplication on Ring of Sequences
- Definition:Pointwise Multiplication on Space of Real-Valued Measurable Functions Identified by A.E. Equality