Definition of Ramification. Meaning of Ramification. Synonyms of Ramification

Here you will find one or more explanations in English for the word Ramification. Also in the bottom left of the page several parts of wikipedia pages related to the word Ramification and, of course, Ramification synonyms and on the right images related to the word Ramification.

Definition of Ramification

Ramification
Ramification Ram`i*fi*ca"tion, n. [Cf. F. ramification. See Ramify.] 1. The process of branching, or the development or offshoots from a stem; also, the mode of their arrangement. 2. A small branch or offshoot proceeding from a main stock or channel; as, the ramifications of an artery, vein, or nerve. 3. A division into principal and subordinate classes, heads, or departments; also, one of the subordinate parts; as, the ramifications a subject or scheme. 4. The production of branchlike figures. --Crabb.

Meaning of Ramification from wikipedia

- Look up ramification in Wiktionary, the free dictionary. Ramification may refer to: Ramification (mathematics), a geometric term used for 'branching out'...
- the ramification groups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena...
- 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...
- 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...
- W'}. 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′{\displaystyle...
- and artificial intelligence (especially, knowledge based systems), the ramification problem is concerned with the indirect consequences of an action. It...
- 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...
- Ramifications is a composition for strings by Hungarian composer György Ligeti. It was finished in 1968 and premiered in 1969. The composition is dedicated...
- 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...