Definition:Operation/Binary Operation/Infix Notation
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Notation
Let $S, T, U$ be sets.
Let $\circ: S \times T \to U$ be a binary operation.
When $\map \circ {x, y} = z$, it is common to put the symbol for the operation between the two operands:
- $z = x \circ y$
This convention is called infix notation.
Sources
- 1955: John L. Kelley: General Topology ... (previous) ... (next): Chapter $0$: Algebraic Concepts
- 1964: W.E. Deskins: Abstract Algebra ... (previous) ... (next): $\S 1.4$: Definition $1.10$
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text I$: Algebraic Structures: $\S 2$: Compositions
- 1996: H. Jerome Keisler and Joel Robbin: Mathematical Logic and Computability ... (previous) ... (next): Appendix $\text{A}.8$: Cartesian Product
- 2009: Kenneth Kunen: The Foundations of Mathematics ... (previous) ... (next): $\mathrm{II}.4$ Polish Notation