- Look up
ramification in Wiktionary, the free dictionary.
Ramification may
refer to:
Ramification (mathematics), a
geometric term used for 'branching out'...
- In geometry,
ramification is 'branching out', in the way that the
square root function, for
complex numbers, can be seen to have two
branches differing...
- the
ramification groups are a
filtration of the
Galois group of a
local field extension,
which gives detailed information on the
ramification phenomena...
- In botany,
ramification is the
divergence of the stem and
limbs of a
plant into
smaller ones, i.e.,
trunk into branches,
branches into
increasingly smaller...
- and
artificial intelligence (especially,
knowledge based systems), the
ramification problem is
concerned with the
indirect consequences of an action. It...
- The set of
exceptional points on W {\displaystyle W} is
called the
ramification locus (i.e. this is the
complement of the
largest possible open set W...
- In
algebraic number theory,
through completion, the
study of
ramification of a
prime ideal can
often be
reduced to the case of
local fields where a more...
-
proved by
Cahit Arf. The
theorem deals with the
upper numbered higher ramification groups of a
finite abelian extension L / K {\displaystyle L/K} . So ****ume...
- by Emmy
Noether (perhaps
known earlier?). What
matters here is tame
ramification. In
terms of the
discriminant D of L, and
taking still K = Q, no prime...
-
Ramifications is a
composition for
strings by
Hungarian composer György Ligeti. It was
finished in 1968 and
premiered in 1969. The
composition is dedicated...