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Topic: Derived group

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	THEORY GROUPS - Online Information article about THEORY GROUPS (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		GROUPS OF be represented by Xi, (i=--I, 2,...
		Among the discontinuous groups that occur in analysis, a large number may be regarded as arising by imposing limitations on the range of variation of the parameters of continuous groups.
		Hence the group may be presented in the form of a group of linear transformations of a single variable generated by the two linear transformations z'=Yizaiz++SRi r' z'=72z+32, a2z272z+32, which correspond to pairs of inversions at AB, BC and BC, CA respectively.
	encyclopedia.jrank.org.cob-web.org:8888 /GRA_GUI/GROUPS_THEORY.html (8654 words)

	PlanetMath: transfinite derived series (Site not responding. Last check: 2007-10-13)
		The transfinite derived series of a group is an extension of its derived series, defined as follows.
		A group in which the perfect radical is trivial (that is, a group without any non-trivial perfect subgroups) is called a hypoabelian group.
		This is version 11 of transfinite derived series, born on 2004-03-22, modified 2006-09-15.
	planetmath.org /encyclopedia/TransfiniteDerivedSeries.html (197 words)

	Commutator subgroup - Wikipedia, the free encyclopedia
		The commutator subgroup of the alternating group A
		The commutator subgroup of the quaternion group Q = {1, −1, i, −i, j, −j, k, −k} is [Q,Q]={1, −1}.
		This implies that the operation of forming derived groups is a functor from the category of groups to the category of groups.
	en.wikipedia.org /wiki/Commutator_subgroup (489 words)

	PlanetMath: derived subgroup (Site not responding. Last check: 2007-10-13)
		Thus, in a fashion, the derived subgroup measures the degree to which a group fails to be abelian.
		The derived series can also be continued transfinitely--see the article on the transfinite derived series.
		This is version 18 of derived subgroup, born on 2002-04-03, modified 2006-09-26.
	planetmath.org /encyclopedia/DerivedSubgroup.html (236 words)

	cctbx: cctbx::sgtbx::space_group Class Reference (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		The averaged tensor is equivalent to beta_inv of Giacovazzo, Fundamentals of Crystallography 1992, p.
		This function is used by the algorithm for the determination of the space group type and its usefulness is probably limited to this context.
		A space group is chiral if all its symmetry operations have a positive rotation-part type (1, 2, 3, 4, 6).
	cctbx.sourceforge.net.cob-web.org:8888 /current_cvs/c_plus_plus/classcctbx_1_1sgtbx_1_1space__group.html (2083 words)

	[No title]
		Term used to refer to data or variables for a higher level unit (for example, a group) constructed by combining information for the lower level units of which the higher level unit is composed (for example, individuals within the group).
		The mean of the dependent variable in the group (for example, proportion infected in a study of the causes of infection) can be thought of as a special type of derived variable.(14) Although derived and Integral variables are sometimes presented as conceptually distinct, they are closely interrelated.
		For example, the composition of a group may influence the predominant types of interpersonal contacts, values, and norms or may shape organisations or regulations within the group that affect all members.(15) The terms “analytical variables” and “aggregate variables” have been used as synonyms for “derived variables”.
	www.paho.org /English/DD/AIS/be_v24n3-multilevel.htm (1328 words)

	Take a BrainSip (Site not responding. Last check: 2007-10-13)
		In mathematics, the derived group (or commutator subgroup) of a group G is the subgroup G
		Note that the set of all commutators of the group is, generally, not a group (in any interesting case).
		The derived group, in a sense, gives a measure of how far G is from being abelian; the larger G
	derived-group.mestskadoprava.sk (288 words)

	terminology (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		Arts/Humanities/Social and Cultural Studies subjects: A group of subjects classified for SACE purposes at Stage 1 and Stage 2 as emphasising an understanding of the ways in which human experience is shaped by culture, heritage, and environment.
		Mathematics/Science/Technology subjects: A group of subjects classified for SACE purposes at Stage 1 and Stage 2 as emphasising the development of an understanding of mathematical or scientific principles and techniques, and/or the application of those principles and techniques in appropriate ways.
		In subjects for which scores are given, the level of achievement for meeting the SACE requirements is derived from the average of the scores for the 2 separate units.
	www.ssabsa.sa.edu.au.cob-web.org:8888 /term.htm (4055 words)

	Nilpotent group - Wikipedia, the free encyclopedia
		Nilpotent groups arise in Galois theory, as well as in the classification of groups.
		Every abelian group is nilpotent of class 1, except for the trivial group, which is nilpotent of class 0.
		Every subgroup of a nilpotent group of class n is nilpotent of class at most n; in addition, if f is a homomorphism of a nilpotent group of class n, then the image of f is nilpotent of class at most n.
	en.wikipedia.org /wiki/Nilpotent_group (609 words)

	dpic-jap (Site not responding. Last check: 2007-10-13)
		The derived Picard group DPicA of a ring A is the group of auto-equivalences of the derived category D^b(Mod A) induced by tilting complexes.
		In the hereditary case DPic(A) coincides with the group of triangle auto-equivalences of the derived category of A-modules.
		This means that we can calculate the groups of auto-equivalences of various derived categories occurring, for example, in noncommutative geometry.
	www.math.bgu.ac.il /~amyekut/publications/dpic-jap/dpic-jap.html (188 words)

	Group Meditation 共修
		The merit derived from group meditations is many times greater...
		The merit derived from group meditations is many times greater than that of one person meditating at home for days, months or even years, depending on the number of participants in the group meditation.
		If you attend the group meditations often, don't attend for a period of time, and then attend the group meditations again afterwards, you will feel different, feel that you are not so pure.
	godsdirectcontact.com /gm.html (1131 words)

	Cladistics - Wikipedia, the free encyclopedia (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		In contrast, phenetics groups organisms based on their overall similarity, while approaches that are more traditional tend to rely on key characters (morphology).
		A monophyletic group is a clade, comprising an ancestral form and all of its descendants, and so forming one (and only one) evolutionary group.
		In contrast, paraphyletic and polyphyletic groups are both defined based on key characters, and the decision of which characters are of taxonomic import is inherently subjective.
	en.wikipedia.org.cob-web.org:8888 /wiki/Cladogram (1924 words)

	The Tyrannosauridae (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		This group of huge carnivores must have tyrannically ruled the land during the last part of the Cretaceous, 85 to 65 million years ago.
		Within the Saurischia, tyrannosaurids belong to the group of carnivorous dinosaurs known as theropods.
		However, recent work has shown that tyrannosaurs are in fact a highly derived group of coelurosaurs, which is mostly composed of smaller animals (including the smallest of all non-avian dinosaurs, the crow-sized Compsognathus, and also the birds).
	www.ucmp.berkeley.edu.cob-web.org:8888 /trex/specialtrex2.html (1084 words)

	Visualization (prefuse API Documentation) (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		The exact semantics of these groups and the mechanisms by which they are populated is determined by application creators, but some defaults are provided.
		If the group is a focus group, the group will simply be removed, and any subsequent attempts to retrieve the group will return null.
		If the group is a primary group, it will be removed, and any members of the group will also be removed from any registered focus groups.
	prefuse.org.cob-web.org:8888 /doc/api/prefuse/Visualization.html (4334 words)

	Cnidaria (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		Anthozoa is alternatively considered the most basal or the most derived group.
		The former hypothesis posits that the polyp is the original body form, with the medusa (and metagenesis) being derived (Fig.
		Cnidaria, therefore, is a well circumscribed taxon; it is considered by many to be a sister group of all metazoans other than sponges.
	tolweb.org.cob-web.org:8888 /tree?group=Cnidaria&contgroup=Animals (2407 words)

	ECS EPrints Service - Synthesis of switched-current Ladder Derived Group delay Equalizers
		EPrints is free software developed by the University of Southampton to facilitate Open Access to research.
		Xie, Y. and Al Hashimi, B. Synthesis of switched-current Ladder Derived Group delay Equalizers.
		The design process is based on the pole-zero mirroring technique; with equalizer z-transfer functions generated using an optimization algorithm.
	eprints.ecs.soton.ac.uk /8722 (219 words)

	Cycadales (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		Palaeozoic seed fern groups like Lyginopteridaceae and Medullosaceae are described as being manoxylic, while the short shoots of Ginkgo are manoxylic and the long shoots pycnoxylic (Gifford and Foster 1988).
		It was often suggested that these were related in a largely pectinate fashion, with Gnetales and a larger or smaller group of fossil gymnosperms/pteridosperms being together sister to angiosperms (e.g.
		Given the uncertainty in our knowledge of the relationships between the five major seed-plant clades, direct links are provided to the four other groups from here: Ginkgoales, Gnetales, Magnoliophyta or flowering plants, and Pinales; there is general discussion under seed plant evolution.
	www.mobot.org.cob-web.org:8888 /MOBOT/Research/APweb/orders/Cycadales.html (3516 words)

	alkyl group - HighBeam Encyclopedia
		alkyl group, in chemistry, group of carbon and hydrogen atoms derived from an alkane molecule by removing one hydrogen atom (see radical).
		The name of the alkyl group is derived from the name of its alkane by replacing the - ane suffix with - yl, e.g., methyl, CH, from methane, CH, and ethyl, C
		Find newspaper and magazine articles plus images and maps related to "alkyl group" at HighBeam.
	www.encyclopedia.com /doc/1E1-alkylgro.html (285 words)

	derived group (Site not responding. Last check: 2007-10-13)
		I know SL(n,F_q) is a perfect group except in the two cases
		can easily say what it is and what its derived group is (and how
		SL(2,F_3) has 24 elements, and its derived group has order 8.
	sci4um.com /about17902.html (1151 words)

	Secretory endometrial and decidual proteins: studies and clinical significance of a maternally derived group of ...
		Secretory endometrial and decidual proteins: studies and clinical significance of a maternally derived group of pregnancy-associated serum proteins -- Bell 1 (3): 129 -- Human Reproduction
		Secretory endometrial and decidual proteins: studies and clinical significance of a maternally derived group of pregnancy-associated serum proteins
		derived secretory products such as HCG, HPL, SP1, PAPPA, etc.
	humrep.oxfordjournals.org /cgi/content/abstract/1/3/129 (331 words)

	Definition: Open Group [Web and XML Glossary] (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-10-13)
		Definition: Open Group [Web and XML Glossary] (via CobWeb/3.1 planetlab2.cs.unc.edu)
		OAGI · OAGIS · OAI · OAI-PMH · OASIS · OBI · OCL · OCSP · ODBC · ODF · ODMG · ODP · ODRL · OEB · OFX · OGSA · OHS · OIL · OLAP · OLE · OLED · OMA · OMG · ONC RPC · OODBMS · Ool · OPAC · OpenDoc · Open Group · OpenID · OpenType · OpenURL · Open XML · Opera · OPML · OPS · OQL · ORB · Orbeon Forms · ORDBMS · ORM · OS/2 · OSF · OSI · OSPF · OSTA · OTP · OTS · OWL · OXF
		The current list of all members can be found at
	dret.net.cob-web.org:8888 /glossary/opengroup (140 words)

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