Sur quelques points du calcul fonctionnel.¶
Fréchet, M. M. (1906). Sur quelques points du calcul fonctionnel. Rendiconti del Circolo Matematico di Palermo, 22, 1-74.
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Primes¶
- Metric
- The distance is zero exactly when the objects coincide (identity of indiscernibles); it is symmetric, so the distance from a to b equals the distance from b to a; and it satisfies the triangle inequality, so the direct distance from a to c never exceeds the sum of the distances from a to b and from b to c.
This sourceOriginal formulation of an abstract metric space with the distance axioms (later named by Hausdorff); the standard reference for the three-axiom definition.
- The distance is zero exactly when the objects coincide (identity of indiscernibles); it is symmetric, so the distance from a to b equals the distance from b to a; and it satisfies the triangle inequality, so the direct distance from a to c never exceeds the sum of the distances from a to b and from b to c.
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