Juxtaposition means combine in the obvious way: Difference between revisions
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* [[Missing multiplication symbol|Multiplication]]: \(ab = a \times b\). | * [[Missing multiplication symbol|Multiplication]]: \(ab = a \times b\). | ||
* Function composition: \(fg(x) = f \circ g(x) = f(g(x))\). | * Function composition: \(fg(x) = f \circ g(x) = f(g(x))\). | ||
* [[Function application without parentheses|Function application]]: \(\sin x\). | * [[Function application without parentheses|Function application]]: \(\sin x\). | ||
* Group operation: when \(x,y \in G = (X,\star)\), \(xy = x \star y\). | |||
* A linear transformation: \(\mathrm{A}\mathbf{v}\). (I've never seen \(\mathrm{A} \times \mathbf{v}\) or \(\mathrm{A} \cdot \mathbf{v}\) for matrix-vector product) | * A linear transformation: \(\mathrm{A}\mathbf{v}\). (I've never seen \(\mathrm{A} \times \mathbf{v}\) or \(\mathrm{A} \cdot \mathbf{v}\) for matrix-vector product) | ||
Revision as of 08:33, 8 July 2021
In an expression, putting two things immediately next to each other usually means that they should be combined in some way. It's usually implicit that the combination operation should be clear from the context.
- Multiplication: \(ab = a \times b\).
- Function composition: \(fg(x) = f \circ g(x) = f(g(x))\).
- Function application: \(\sin x\).
- Group operation: when \(x,y \in G = (X,\star)\), \(xy = x \star y\).
- A linear transformation: \(\mathrm{A}\mathbf{v}\). (I've never seen \(\mathrm{A} \times \mathbf{v}\) or \(\mathrm{A} \cdot \mathbf{v}\) for matrix-vector product)
