On two types of exotic addition

• Autores: Sam Northshield
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 77, Nº. 1-2, 2009, págs. 1-24
• Idioma: inglés
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• Resumen

  • We classify, under reasonable assumptions, all differentiable functions f for which the �secant method� [xf(y) - yf(x)]/[f(y) - f(x)] is continuous and associative. Further, we classify all differentiable functions for which the similar type of addition xf(y) + yf(x) is associative.