- Tytuł:
- Towards historical roots of necessary conditions of optimality: Regula of Peano
- Autorzy:
-
Dolecki, S.
Greco, G. H. - Powiązania:
- https://bibliotekanauki.pl/articles/970285.pdf
- Data publikacji:
- 2007
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
różniczkowalność
zbiór wypukły
differentiability
convex set
Kuratowski limit of sets
tangent cones
condition of optimality
mean value theorem
Peano remainder
Peano's regula
strict derivability
Peano's Formulario Mathematico
Peano's Geometric Calculus
Grassmann's Ausdehnungslehre - Opis:
- At the end of 19th century Peano discerned vector spaces, differentiability, convex sets, limits of families of sets, tangent cones, and many other concepts, in a modern perfect form. He applied these notions to solve numerous problems. The theorem on necessary conditions of optimality (Regula) is one of these. The formal language of logic that he developed, enabled him to perceive mathematics with great precision and depth. Actually he built mathematics axiomatically based exclusively on logical and set-theoretic primitive terms and properties, which was a revolutionary turning point in the development of mathematics.
- Źródło:
-
Control and Cybernetics; 2007, 36, 3; 491-518
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł