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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...

and artificial intelligence (especially, knowledge based systems), the ramification problem is concerned with the indirect consequences of an action. It...

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...

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...

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 assume...

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...

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...

extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin...

f(z_{0})} is a positive integer called the ramification index of z 0 {\displaystyle z_{0}} . If the ramification index is greater than 1, then z 0 {\displaystyle...

restriction of w to K is v. The set of all such extensions is studied in the ramification theory of valuations. Let L/K be a finite extension and let w be an extension...

This article contains Indic text. Without proper rendering support, you may see question marks or boxes, misplaced vowels or missing conjuncts instead...

short-lived republic that was established in 1924 was beset by the ramifications of civil strife and the challenge of resettling refugees from Turkey...

number field K, with respect to the field trace. It then encodes the ramification data for prime ideals of the ring of integers. It was introduced by Richard...

when one is a ramified covering of the other. It therefore connects ramification with algebraic topology, in this case. It is a prototype result for many...

In copyright law, the legal status of hyperlinking (also termed "linking") and that of framing concern how courts address two different but related Web...

A national park is a nature park designated for conservation purposes because of unparalleled national natural, historic, or cultural significance. It...

In 2017, American actor Kevin Spacey faced several allegations of sexual misconduct. Those allegations began after Anthony Rapp alleged that Spacey, while...