ISSN:
1572-9273
Schlagwort(e):
06A12
;
52A01
;
Semilattice
;
monotone
;
convexity
;
distributive lattice
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract An abstract algebraic interpretation of subgradients of real-valued convex functions is presented, and the definition is extended to modal theory. The main result is that a convex (i.e., monotone) function from a semilattice to acomplete distributive lattice is the join of its set of subgradients.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01111745
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