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Topic: Ramification

	Definition of ramification - Merriam-Webster Online Dictionary
		1 a: branch, offshoot b: a branched structure2 a: the act or process of branching b: arrangement of branches (as on a plant)3: consequence, outgrowth ramifications of the decision>
		Learn more about "ramification" and related topics at Britannica.com
		See a map of "ramification" in the Visual Thesaurus
	www.m-w.com /cgi-bin/dictionary?book=Dictionary&va=ramification (51 words)

	Ramification - Wikipedia, the free encyclopedia
		In mathematics, ramification is a geometric term used for 'branching out', in the way that the square root function, for complex numbers, can be seen to have two branches differing in sign.
		Ramification in algebraic number theory means prime numbers factorising into some repeated prime ideal factors.
		In that case a quantitative measure of ramification is defined for Galois extensions, basically by asking how far the Galois group moves field elements with respect to the metric.
	en.wikipedia.org /wiki/Ramification (515 words)

	PlanetMath: ramification index
		Ramification points or branch points in complex geometry are merely a special case of the high-flown terminology of Definition 6.
		The algebraic-analytic correspondence of ramification points is itself only one manifestation of the wide ranging identification between algebraic geometry and analytic geometry which is explained to great effect in the seminal paper of Serre [6].
		This is version 14 of ramification index, born on 2002-04-23, modified 2005-03-15.
	planetmath.org /encyclopedia/Ramify.html (1099 words)

	Ramification - BonsaiWIKI
		Ramification of the branches of a mature deciduous tree
		Ramification is the division of branches or roots of a bonsai into successively finer structures, creating a pleasing network of coarse-to-fine development.
		Ramification is developed over time in bonsai by pruning of twigs and branches to remove those elements that are too coarse, or conflict with the design.
	wiki.bonsaitalk.com /index.php/Ramification (84 words)

	* Ramification - (Bonsai): Definition
		Ramification is the division of or of a into successively finer structures, creating a pleasing network of coarse-to-fine development.
		Ramification is developed over time in bonsai by pruning of and to remove those elements that are too coarse,...
		What you form is a bonsai with little secondary ramifications, but a few well spaced "clouds" of foliage which are carefully pinched with the fingertips...
	en.mimi.hu /bonsai/ramification.html (573 words)

	PlanetMath: splitting and ramification in number fields and Galois extensions
		Notice that as it is pointed out in the entry ``inertial degree'', the ramification index and the inertial degree are related by the formula:
		the ramification index and the inertial degree are multiplicative in towers
		This is version 7 of splitting and ramification in number fields and Galois extensions, born on 2005-02-23, modified 2005-02-24.
	planetmath.org /encyclopedia/SplittingAndRamificationInNumberFieldsAndGaloisExtensions.html (292 words)

	PlanetMath: the ramification index and the inertial degree are multiplicative in towers
		PlanetMath: the ramification index and the inertial degree are multiplicative in towers
		"the ramification index and the inertial degree are multiplicative in towers" is owned by alozano.
		This is version 2 of the ramification index and the inertial degree are multiplicative in towers, born on 2005-03-03, modified 2005-03-03.
	planetmath.org /encyclopedia/RamificationIndexAndTheInertialDegreeAreMultiplicativeInTowers.html (130 words)

	RAMIFICATION - Definition
		The process of branching, or the development or offshoots from a stem; also, the mode of their arrangement.
		A small branch or offshoot proceeding from a main stock or channel; as, the ramifications of an artery, vein, or nerve.
		A division into principal and subordinate classes, heads, or departments; also, one of the subordinate parts; as, the ramifications a subject or scheme.
	www.hyperdictionary.com /dictionary/ramification (120 words)

	[No title]
		A "ramification" of this "bundle" of universes would then happen, like in the many worlds hypothesis proposed to explain the wave function collapse in quantum physics.
		According to the theory of the ramification of universes bundles, the universes would be in fact already virtually separated before the observation, but this separation would become perceptible only after.
		The ramification of universes bundles also permits to explain very simply the principle of formative causality without use of a propagating morphic field.
	www.chez.com /log/text/reflmph/english/rfu.htm (249 words)

	Expert About ra:Ramification
		The conference will review progress in ramification theory over the past fifteen years and clarify current trends in the development of ramification theory, with focus on:.
		The ramification problem is a hard and ever present problem in systems exhibiting a dynamic behavior.
		As Ramification began to collapse from the lack of gigs and promotion we suffered, I realised this kind of thing shouldn't be happening, and bands need to be known about to be heard.
	expertsite.biz /dir/ra/ramification.htm (804 words)

	Basic Black Pine Ramification...
		Also keep in mind that these techniques as described are not consistent with some specific elements of ramification (needle reduction, etc...), but should be regarded as general guidelines.
		As there are many specific technique details used in pine ramification, know that this is just a basic overview.
		If you have done ramification work this year, having removed the spring shoots in the early summer, and the tree has produced new buds, remove buds in late summer/early fall.
	www.bonsaisite.com /pineram.html (1269 words)

	Math 254A Corrigenda
		Ramification in Galois Extensions 2: replace "b is a prime ideal which is unramified over L" with "b is a prime ideal of L which is unramified over K".
		Ramification in Galois Extensions 4: "p is totally split" means every prime above p has ramification index and inertia degree equal to 1.
		Ramification in Galois Extensions 6 and 7: n should be prime (else the group theory won't work out) and P should be monic.
	www-math.mit.edu /~kedlaya/Math254A/corrigenda.html (1005 words)

	On ramification theory in the imperfect residue field case, by Igor B. Zhukov (Site not responding. Last check: )
		We consider the class of complete discrete valuation fields such that the residue field is of prime charactersitic p and the cardinality of a p-base is 1.
		A new definition of ramification filtration for such fields is given.
		Therefore, a theory of upper ramification groups, as well as the ramification theory of infinite extensions, can be developed.
	www.math.uiuc.edu /Algebraic-Number-Theory/0113 (158 words)

	Articles, TOUT-FAIT: The Marcel Duchamp Studies Online Journal
		The same ramification is the formal unifying motif of the painting Young Man and Girl in Spring, although here the ramification has the specific meaning of doubling: indeed, the whole composition is based on a Y-shaped motif.
		(According to Schwarz, the branching arcs at the bottom are buttocks, the circular figure represents Mercury in the ampoule, and the ramification of the tree represents a phallus; finally, the path I described would be followed backward, as the desire of re-conjunction of the youths into the primordial androgyne unity).
		We can underline the close continuity between the two works observing that the sole definitive detail of the replica is the bust of the girl with her lifted and opened arms: this human ramification is grafted on the ramification of the Network with perfect continuity.
	www.toutfait.com /issues/volume2/issue_4/articles/giunti/giunti3.html (1079 words)

	CD Baby: FERNANDO RAMIREZ: RAMIFICATION (Site not responding. Last check: )
		RAMIFICATION is the explosive new release from San Antonio, TX - based artist FERNANDO RAMIREZ.
		RAMIFICATION's music is best described as reflecting the the stylistic leanings of such melodic rock artists as Queen, Def Leppard, and Boston.
		The music is heavily produced, and upbeat: it features strong guitars and layered vocals.
	www.cdbaby.com /cd/fernandor (228 words)

	Botany online: Growth - Differentiation - Pattern Formation
		After a row has elongated by a certain amount is the inhibiting effect (the destroying of S) of the tip not sufficient any more to suppress weak maxima of activity that develop along the finished row.
		Most ramifications end blind and backward connections are rare - both in the model and in nature.
		In 1978 presented FRITJERS a concept for the interpretation of the ramification pattern of inflorescences.
	www.biologie.uni-hamburg.de /b-online/e28/28b.htm (2580 words)

	The World of Ramification
		They live in west london and after the party Nick and I ended up in a cab travelling across town to Hoxton for Anti-social which was an amazingly fun night.
		Xtina's track is definitely a grower, not her best effort but it works.
		In what has to be the strangest marketing idea in music this year, Jessica Simpson is offering a personalized mp3 download of her new single with your name sung in the song.
	ramification69.blogspot.com (1500 words)

	[No title] (Site not responding. Last check: )
		Transition cascade semantics and first assessment results for ramification.
		Assessments of ramification methods that use static domain constraints.
		Underlying semantics for actions and change with ramification.
	www.ida.liu.se /ext/crl/publ/ramif/sframe.html (204 words)

	RAMification
		RAMification is a Show Choir at Southeast Polk High School in Runnells,
		In order to be in RAMification you must audition.
		There will only be 30 men and 30 women in RAMification this year.
	members.aol.com /larissasingndiva/RAMification.html (159 words)

	MedFriendly.com: Ramification (Site not responding. Last check: )
		The act or process of dividing or distributing outwards into a branch-like pattern.
		Ramification comes from the Latin word "ramus" meaning "branch," and the Latin word "facio" meaning "to make." Put the two words together and you have "to make (a) branch."
		You may not reprint or redisplay this material for commercial use without the express written consent of MedFriendly.com.
	www.medfriendly.com /ramification.html (123 words)

	[No title]
		First, according to your view of ramifications, fluents can be initiated/terminated in two ways: either when an event occurs, or due to changing fluents in a constraint.
		The ramification problem is an important problem in temporal reasoning which is still not well understood.
		Our approach to ramifications is to (slightly) widen the set of initiation and termination points in a given model via a fixed point definition.
	www.ida.liu.se /ext/etai/received/actions/003/aip.html (6291 words)

	Atlas: Ramification points in smooth dendroids by Wlodzimierz J. Charatonik (Site not responding. Last check: )
		We prove that there are two kinds of ramification points in smooth dendroids.
		Borel classes of the sets of the two kinds of ramification points are discussed.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cany-13.
	atlas-conferences.com /cgi-bin/abstract/cany-13 (96 words)

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