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purely continuous - translation to russian
WIKIMEDIA DISAMBIGUATION PAGE
Purely-functional; Purely functional (disambiguation)
purely continuous
математика
чисто непрерывный
purely inseparable extension
Purely inseparable field extension; Purely inseparable; Radicial extension; Purely inseparable extensions; Modular extension
чисто несепарабельное расширение
purely inseparable
Purely inseparable field extension; Purely inseparable; Radicial extension; Purely inseparable extensions; Modular extension
математика
число несепарабельный
Definition
continuous function
A function f : D -> E, where D and E are cpos, is continuous
if it is monotonic and
f (lub Z) = lub f z | z in Z
for all directed sets Z in D. In other words, the image of
the lub is the lub of any directed image.
All additive functions (functions which preserve all lubs)
are continuous. A continuous function has a {least fixed
point} if its domain has a least element, bottom (i.e. it
is a cpo or a "pointed cpo" depending on your definition of a
cpo). The least fixed point is
fix f = lub f^n bottom | n = 0..infinity
(1994-11-30)
Wikipedia
Purely functional
Purely functional may refer to:
