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- W1566338712 abstract "Peano defined 'differentiability' of functions and 'lower tangent cones' in 1887, and 'upper tangent cones' in 1903, but uses the latter concept already in 1887 without giving a formal definition. Both cones were defined for arbitrary sets, as certain limits of appropriate homothetic relations. Around 1930 Severi and Guareschi, in a series of mutually fecundating individual papers, characterized differentiability in terms of 'lower tangent cones' and strict differentiability in terms of 'lower paratangent cones', a notion introduced, independently, by Severi and Bouligand in 1928. Severi and Guareschi graduated about 1900 from the University of Turin, where Peano taught till his demise in 1932." @default.
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- W1566338712 date "2010-03-05" @default.
- W1566338712 modified "2023-09-27" @default.
- W1566338712 title "Tangency vis-a'-vis differentiability by Peano, Severi and Guareschi" @default.
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