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	Lattice of Submodules
		the submodule corresponding to e is a submodule of the submodule corresponding to f.
		The submodule of M corresponding to the element e of the lattice L. Properties of Lattice Elements
		The dimension of the submodule of M corresponding to e.
	www.umich.edu /~gpcc/scs/magma/text967.htm (1033 words)

	MKSUB: Find Submodules
		This program calculates the submodule lattice using the output generated by MKINC and MKDOTL.
		Submodules are calculated generation by generation, the first generation consisting of all submodules generated by one local submodule.
		In the nth generation all submodules generated by a submodule of generation n plus one local submodule are calculated.
	www.math.rwth-aachen.de /homes/MTX/htmldoc/node58.html (410 words)

	PlanetMath: submodule
		is called the submodule generated by the subset
		This is version 12 of submodule, born on 2005-05-11, modified 2007-04-16.
		Object id is 7040, canonical name is Submodule.
	planetmath.org /encyclopedia/QuotientOfSubmodules.html (125 words)

	Submodules
		A set or sequence whose terms are submodules of M. The generators stored for N consist of the elements specified by terms L_i together with the stored generators for submodules specified by terms of L_i.
		We construct a submodule of the 4-dimensional vector space over the field of rational function F[x], where F is GF(5).
		Sum of the submodules M and N, where M and N belong to a a common R-module.
	www.math.niu.edu /help/math/magmahelp/text784.html (597 words)

	ARPtech - Submodules
		The simple circuit blocks used in the model 2500 measured 1.125" square, while the 2600 submodules were 2" square.
		The obvious disadvantage to having circuits potted in epoxy is that they cannot easily be repaired, as the components are inaccessible through the hard potting material.
		The reasons for maintaining encapsulation were probably more strategic than technical, as the core of some of the filter circuits infringed on a Moog patent.
	www.till.com /arptech/modintro.htm (616 words)

	Lattice of Submodules (Site not responding. Last check: 2007-10-17)
		the submodule corresponding to e is a submodule of the submodule corresponding to f.
		The submodule of M corresponding to the element e of the lattice L. Properties of Lattice Elements
		The dimension of the submodule of M corresponding to e.
	mad.epfl.ch /magma/text955.htm (1031 words)

	Submodules
		A set or sequence whose terms are submodules of M. The generators stored for N consist of the elements specified by terms L_i together with the stored generators for submodules specified by terms of L_i.
		We construct a submodule of the 4-dimensional vector space over the field of rational function F[x], where F is GF(5).
		Sum of the submodules M and N, where M and N belong to a a common R-module.
	www.umich.edu /~gpcc/scs/magma/text785.htm (597 words)

	Submodules (Site not responding. Last check: 2007-10-17)
		If M has been created using the function RSpace, then every submodule of M is given in terms of a generating set consisting of elements of M, i.e.
		We construct a submodule of the permutation module for L(3, 4) in its representation of degree 21.
		Sum of the submodules M and N, where M and N belong to a a common A-module.
	www.dtr.isy.liu.se /Magma/text708.html (502 words)

	SubModules (Site not responding. Last check: 2007-10-17)
		The submodule is a subgroup of the original module, and r carries the submodule into itself.
		As usual, the submodule generated by a set s is the intersection of submodules containing s.
		Verify that h is a left ideal, hence the module is isomorphic to the cosets of h.
	www.mathreference.com /mod,sub.html (117 words)

	ProFTPD Developer's Guide: Writing Quotatab Submodules
		These submodule callbacks are listed here, along with the types of table (limit or tally) submodules the callbacks apply:
		The key function that a submodule uses to indicate its existence, and its willingness to handle a new table format, to
		If a submodule only supported * one table or the other (for example, LDAP would be great at * providing quota limit information, but is ill-suited for writes * and thus not a good tally table format), it would use only the * flag for the supported table type.
	www.castaglia.org /proftpd/doc/devel-guide/advanced/Quotatab/submodules.html (1034 words)

	Packages & __path__ (was:Re: [Python-Dev] Python 2.3a1 release -- Dec 31)
		Back to __path__: about the only reason I can think for having it in the first place (besides being the "I'm a package" flag) is optimization: it avoids some stat calls by restricting the lookup to a specific directory.
		Extension modules as submodules of frozen packages is currently not possible without deeper trickery: __path__ is a string in that case, so modifying it wouldn't be possible, let alone solve the problem.
		Finding and loading of submodules would be completely decoupled from the parent module; parent and child could be imported by completely unrelated importers.
	mail.python.org /pipermail/python-dev/2002-December/031369.html (795 words)

	Citebase - Associated prime submodules of finitely generated modules (Site not responding. Last check: 2007-10-17)
		For a finitely generated $R$-module $M$, the notion of associated prime submodules of $M$ is defined.
		In particular, it is proved that for a Noetherian multiplication module $M$, the set of associated prime submodules of $M$ coincides with the set of $M$-radicals of primary submodules of $M$ which appear in a minimal primary decomposition of the zero submodule of $M$.
		Also, Anderson's theorem [{\bf 2}] is extended to minimal prime submodules in a certain type of modules.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/0407492 (394 words)

	Uniformly Generated Submodules of Permutation Modules (Site not responding. Last check: 2007-10-17)
		Most of our technical results concern the structure of ``uniformly'' generated submodules of permutation modules.
		The results have a non-traditional flavor arising from the study of the irreducible structure of the submodules
		We sketch the link between our structure theorems and proof complexity questions, which can be viewed as special cases of the famous NP vs. co-NP problem in complexity theory.
	www.brics.dk /RS/98/20/index.html (153 words)

	2.2 Standard bases for submodules of free modules
		2.2 Standard bases for submodules of free modules
		submodules of free modules are defined by a set of generators.
		A complete intersection with exact Poincare complex at 0 // but which is in no coordinate system weighted homogeneous // see [PS] for an exeact decription.
	www.mathematik.uni-kl.de /~zca/Reports_on_ca/02/paper_html/node6.html (115 words)

	OMNeT++ - The NED language (Site not responding. Last check: 2007-10-17)
		Modules that contain submodules are termed compound modules, as opposed simple modules which are at the lowest level of the module hierarchy.
		If submodule vectors and/or gate vectors are used, the language allows one to create more than one connections with one statement.
		Leaving submodule type as parameter enables the user to create topology templates: compound modules that implement mesh, hypercube, butterfly, perfect shuffle and other topologies (Moldovan 1993), with the actual element type left as parameter.
	whale.hit.bme.hu /omnetpp/ned.htm (3317 words)

	ABSTRACT ALGEBRA ON LINE: Modules (part 2)
		The sum of all minimal submodules of M is called the socle of M, and is denoted by Soc(M).
		Any submodule of a semisimple module has a complement that is a direct sum of minimal submodules.
		If M contains a submodule N such that N is free of rank 1 and M/N is a torsion module, then M is free of rank 1.
	www.math.niu.edu /~beachy/aaol/modules2.html (1503 words)

	Matrix Group Actions (Site not responding. Last check: 2007-10-17)
		Given a matrix group G with natural R-module M, construct the orbits of G on the rank-1 submodules of M. The orbits are returned as a sequence of sets.
		Given a matrix group G and a submodule S of the natural module M of G, return the action homomorphism f of G on S, together with the image of f.
		Given a matrix group G and a submodule S of the natural module M of G, return the quotient action homomorphism f of G on S, together with the image of f.
	mad.epfl.ch /magma/text301.htm (1887 words)

	Operations on Submodules
		The following operations are only available for submodules of R^((n)), Hom_R(M, N) and R[G], where R is a Euclidean Domain.
		Given an R-module M, construct the largest submodule of M on which R acts trivially, i.e.
		(Procedure.) Given a vector v from a tuple module V and a submodule W of V, destructively insert v in W. Set f to whether W increases.
	www.math.uiuc.edu /Software/magma/text405.html (660 words)

	Table of contents for Library of Congress control number 2003040911 (Site not responding. Last check: 2007-10-17)
		56 3.3 Rigidity for Hardy submodules on the polydisk.
		72 4 Equivalence of Hardy submodules 75 4.1 Preliminaries...........................
		75 4.2 Unitary equivalence of Hardy submodules on the unit polydisk 81 4.3 Similarity of Hardy submodules on the unit polydisk....
	www.loc.gov /catdir/toc/fy037/2003040911.html (279 words)

	The Mercury Project: Re: [mercury-users] Modules, Submodules and Instances.
		The Mercury Project: Re: [mercury-users] Modules, Submodules and Instances.
		> defines bar and baz to be separate submodules of foo.
		> is a separate submodule of foo iff it is the subject of an
	www.cs.mu.oz.au /research/mercury/mailing-lists/mercury-users/mercury-users.9901/0014.html (1261 words)

	ARPtech - Submodules
		A brief tutorial on submodule types and encapsulation schemes.
		Listed below are submodules used in ARP synthesisers.
		A brief descritpion of each module is given, as well as information about which synthesiser model(s) the submodule was used in.
	www.till.com /arptech/modmain.htm (95 words)

	Veridian - Offerings - IMUX (Site not responding. Last check: 2007-10-17)
		Analog Input Submodule (ANL-401/xx) and Analog Output Submodule (ANL-401xx and 402/xx)
		PCM Input and Output Submodules (PCM-405-02 and PCM-406-02)
		PCM Input and Output Submodules (PCM-407 and PCM-408)
	www.veridian.com /offerings/suboffering.asp?offeringID=276&historyIDs=0,463,276 (144 words)

	Proyecciones (Antofagasta) vol.22 no.3; Abstract: S0716-09172003000300003 (Site not responding. Last check: 2007-10-17)
		This article is devoted to study some properties of prime and primary submodules.
		First we characterize prime submodules of free modules and give a primality condition for certain submodules in terms of associated prime ideals.
		Furthermore, by using symmetric algebra of modules we describe Rees algebras associated to prime sub-modules and provide a computational method to check if some primary submodules of a free module have prime radical.
	www.scielo.cl /scielo.php?script=sci_abstract&pid=S0716-09172003000300003&lng=en&nrm=iso&tlng=en (90 words)

	E-MU Systems - Company History
		Why it was named the '25' is a matter of some conjecture; only Uncle E-MU knows the truth.
		In the summer of 1972, E-MU moved to Santa Clara and officially opened its doors for business that November, selling VCO, VCF, VCA and ADSR submodules (both assembled and in kit form to hobbyists).
		It was April of 1973 when the first E-MU modular synthesizer was sold to future Director of Manufacturing Ed Rudnick, who had started hanging around E-MU looking for a job so he could learn how to design and build synthesizers.
	www.emu.com /corporate/history (1000 words)

	Free Submodules (Site not responding. Last check: 2007-10-17)
		Let r be a pid and let f be a free module over r.
		A submodule of r is an ideal, and all ideals are principle, hence g
		Furthermore, the rank of g is less than or equal to the rank of f.
	www.mathreference.com /mod-pid,subfree.html (196 words)

	Proyecciones (Antofagasta) - SOME RESULTS ON PRIME AND PRIMARY SUBMODULES (Site not responding. Last check: 2007-10-17)
		This article is devoted to study some properties of prime and primary
		submodules of a free module have prime radical.
		[2] A. Marcelo and J. Muñoz, "Prime Submodules, the Descent Invariant,
	www.scielo.cl /scielo.php?script=sci_arttext&pid=S0716-09172003000300003&lng=en&nrm=iso&tlng=en (121 words)

	RFP Templates: Frequently Asked Questions
		To ensure ease of use, the features and functions contained in TEC's RFP templates are presented in an easy-to-access, color-coded, hierarchical structure.
		For example, the discrete enterprise resource planning (ERP) RFP template contains 3,690 features and functions, divided into 8 main modules and 56 submodules.
		Each criterion provides a column where you can assign a priority, as well as a column where vendors can indicate their level of support for that specific criterion.
	rfp-templates.technologyevaluation.com /faq.asp (518 words)

	PPT: Task Search Results (Site not responding. Last check: 2007-10-17)
		LE-090 : At least 10 submodules assembled for the ext-barrel - Variant C
		LE-094 : 50% of all submodules assembled for the ext-barrel - Variant A
		LE-093 : 50% of all submodules assembled for the ext-barrel - Variant C
	ppt.cern.ch /guestppt/ATL/viewpbs?5 (902 words)

	A Product of Rings (Site not responding. Last check: 2007-10-17)
		Replace 1 with the sum of ones from the component rings, and x is the sum of entries from the respective submodules.
		The submodules are independent, and m is the direct product of these submodules.
		Multiply by components of r to produce the original basis elements in the submodules, hence m is spanned.
	www.mathreference.com /mod,rprod.html (214 words)

	Report ECN NUC: Thermal and mechanical analyses for the HCPB submodules in-pile test (ECN-I--98-066) (Site not responding. Last check: 2007-10-17)
		A description is given of the Finite Element Method (FEM) and thermal and mechanical computations that have been performed for the Helium Cooled Pebble Bed (HCPB) Submodules in-pile tests, which have been planned for irradiation in the High Flux Reactor (HFR) at Petten.
		In this test, four submodules will be placed at core position H4.
		The report presents the temperature and stress distribution for the highest powered submodule of these four submodules.
	www.ecn.nl /library/reports/1998e/i98066.html (155 words)

	UIUC ATLAS - Sub-Module Fabrication Index
		Our group is also involved in the production of the submodules for the ATLAS Scintillating Tile Hadron Calorimeter (TileCal).
		The submodules we are building are for one of two so-called "Extended Barrel" Scintillating Tile Hadron Calorimeters.
		For a summary of the current status of submodule production at UIUC, follow this link.
	www.hep.uiuc.edu /atlas/indexsub.html (286 words)

	TYPO3.org: Extra Backend Links: Users manual (Site not responding. Last check: 2007-10-17)
		Add a new module (not as a link) and some links (submodules)
		For normal users/groups edit their settings, and add the modules.
		They will be numbered like this (you'll have to figure out which number is which (sub)module, unfortunately) :
	www.typo3.org /documentation/document-library/lz_links/Users_manual-43 (103 words)

	DeepChip Homepage
		The other ones either need tweaks to the paths (use submodules in non-standard locations), or need extra attributes to deal with things like one-hot state machines or tristate busses.
		Working on submodules of the main modules also takes a bit of hands-on to map pins before-and-after Clock Tree Synthesis and scan insertion.
		It would be nice if this was a bit more automatic (for example, if Apollo CTS automatically wrote out commands to map over the changes it makes - I mean, these ARE both Avanti tools now, right?), but it's not a major pain.
	www.deepchip.com /posts/0368.html (5720 words)

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