Definition:Distance/Points/Real Numbers
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Definition
Let $x, y \in \R$ be real numbers.
Let $\size {x - y}$ be the absolute value of $x - y$.
Then the function $d: \R^2 \to \R$:
- $\map d {x, y} = \size {x - y}$
is called the distance between $x$ and $y$.
Also see
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 4$: Convergent Sequences: $\S 4.4$: Definition of Convergence
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Graphical Representation of Real Numbers
- 2003: John H. Conway and Derek A. Smith: On Quaternions And Octonions ... (previous) ... (next): $\S 1$: The Complex Numbers: Introduction: $1.1$: The Algebra $\R$ of Real Numbers