Juxtaposition means combine in the obvious way: Difference between revisions
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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. | 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: \(ab = a \times b\). | * [[Missing multiplication symbol|Multiplication]]: \(ab = a \times b\). | ||
* Function composition: \(fg(x) = f \circ g(x) = f(g(x))\). | * Function composition: \(fg(x) = f \circ g(x) = f(g(x))\). | ||
* Group operation: when \(x,y \in G = (X,\star\)\), \(xy = x \star y\). | * Group operation: when \(x,y \in G = (X,\star\)\), \(xy = x \star y\). | ||
* [[Function application without parentheses|Function application]]: \(\sin x\). | * [[Function application without parentheses|Function application]]: \(\sin x\). | ||
* 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 08:32, 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: \(fg(x) = f \circ g(x) = f(g(x))\).
- Group operation: when \(x,y \in G = (X,\star\)\), \(xy = x \star y\).
- Function application: \(\sin x\).
- 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)
