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Topic: Direct product

Related Topics

Product topology

Direct sum

Glossary of group theory

Cartesian product

Group (mathematics)

List of group theory topics

Abelian group

Hausdorff space

Glossary of ring theory

	Direct product - Wikipedia, the free encyclopedia
		The direct product for vector spaces (not to be confused with the tensor product) is very similar to the one defined for groups above, using the cartesian product with the operation of addition being componentwise, and the scalar multiplication just distributing over all the components.
		The direct sum and direct product differ only for infinite indices, where the elements of a direct sum are zero for all but for a finite number of entries.
		Products (with the product topology) are nice with respect to preserving properties of their factors; for example, the product of Hausdorff spaces is Hausdorff; the product of connected spaces is connected, and the product of compact spaces is compact.
	en.wikipedia.org /wiki/Direct_product (955 words)

	PlanetMath: direct product of modules (Site not responding. Last check: 2007-10-07)
		The direct product is often referred to as the complete direct sum, or the strong direct sum, or simply the product.
		"direct product of modules" is owned by antizeus.
		This is version 3 of direct product of modules, born on 2002-01-05, modified 2002-05-01.
	planetmath.org /encyclopedia/DirectProduct.html (131 words)

	[No title] (Site not responding. Last check: 2007-10-07)
		The preceding two observations of the direct product makes the direct product the product in the category of groups.
		More abstract formulations and generalizations of the categorical product (as if this weren't abstract or general enough!) can be found in the separate entry on categorical products.
		Unlike direct products, coproducts in other categories are not all obviously based on the notion for sets, because unions don't behave well with respect to preserving operations (e.g.
	www.informationgenius.com /encyclopedia/d/di/direct_product.html (1083 words)

	Support Us \| Product Donations (Site not responding. Last check: 2007-10-07)
		Through the work of Direct Relief International, manufacturers, distributors, pharmacies, and medical facilities are donating to health institutions serving the poor and the victims of disaster worldwide.
		Each request for assistance is evaluated by Direct Relief on the basis of the facility’s service to the poor and their ability to effectively use donated goods.
		Direct Relief International is a tax-exempt 501(c)(3) non-profit and provides contributors with documentation for tax purposes.
	www.directrelief.org /sections/support_us/product_donations.html (287 words)

	Direct product (Site not responding. Last check: 2007-10-07)
		The product for vector spaces is very similar to the one for groups above using the cartesian product with the operation of addition being and the scalar multiplication just distributing over the components (an easy generalization of how is defined for R
		The product topology for infinite products has twist and this has to do with able to make all the projection maps and to make all functions into the continuous if and only if all its functions are continuous (i.e.
		Products (with the product topology) are nice respect to preserving properties of their factors; example the product of Hausdorff spaces is the product of connected spaces is connected the product of compact spaces is compact.
	www.freeglossary.com /Direct_product (1172 words)

	Semidirect product : Semi-direct product (Site not responding. Last check: 2007-10-07)
		Suppose G is a semidirect product of the normal subgroup N and the subgroup H.
		Note that in a direct product, the order of the factors isn't important, since N × H is isomorphic to H × N.
		This is seen naturally as soon as one constructs a group ring[?] for a semidirect product of groups.
	www.eurofreehost.com /se/Semi-direct_product_4.html (335 words)

	Semidirect product : Semi-direct product (Site not responding. Last check: 2007-10-07)
		The group G is said to be a semidirect product of N and H if G = NH and N ∩ H = {e} (with e being the identity element of G).
		Note that, as opposed to the case with the direct product, a semidirect product isn't, in general, unique; if G and G' are both semidirect products of N and H, it doesn't then follow that G and G' are isomorphic.
		Equivalently, the group G is a semidirect product of N and H if every element of G can be written in one and only one way as a product of an element of N and an element of H.
	www.city-search.org /se/semi-direct-product.html (1263 words)

	brandchannel.com \| Medical Product Brands \| Direct to Consumer Marketing\| brands \| brand \| branding (Site not responding. Last check: 2007-10-07)
		Aside from patient-doctor exchanges, medical product information is readily available directly to the public from the Internet, package inserts, waiting room leaflets, word of mouth, and increasingly, direct-to-consumer advertising and direct marketing.
		Medical product brands are increasingly conducting their trials by a jury of patients.
		With doctors too busy to try many of the companies’ new products, direct-to-patient marketing is a godsend to medical product manufacturers who successfully target the consumer with the help of the media and the Internet.
	www.brandchannel.com /features_effect.asp?pf_id=185 (2188 words)

	Direct marketing a car product (Site not responding. Last check: 2007-10-07)
		I helped with the launch of Safe'n'Sure in the UK, a product which goes into tyres and automatically patches them when damaged.
		ICD, a division of Metromail, could put together a list of people interested in car maintenance (the product needed injecting into the tyres), who had children and were safety conscious.
		I think the light reactive sunglasses product got ripped off pretty quickly, so this could be a make some money and get out project.
	www.copywriter.co.uk /resource/directmarketingcarproduct.html (343 words)

	Universal Distributors: - 10/1/2004 - ECN - CA457349 (Site not responding. Last check: 2007-10-07)
		While many independents carry a relatively affordable and diverse inventory along with access to supplies beyond their own, many of the product quality advantages of the franchised distributor start to come into question.
		Support and engineering resources may be lost, and the quality and/or guarantee of product quality have more potential to be of concern.
		It is typically in the brokerage arena where sub-standard parts and old, unqualified components may enter the supply chain, often leaving manufacturers stuck with unusable inventory or worse, with returns from malfunctioning end products.
	www.reed-electronics.com /ecnmag/article/CA457349 (1630 words)

	DIRECT LOGIC SYSTEMS - Great Software for Great People (Site not responding. Last check: 2007-10-07)
		Every software product you see here at Direct Logic Systems can be downloaded free of charge, so that you can try it before you buy it.
		I personally test and use every software product from Direct Logic Systems myself, many of which I use on a regular basis.
		I write each product experience personally, describing its benefits and faults, just as a regular computer user would have experienced.
	www.directlogic.com (268 words)

	Autodesk - Autodesk Stone Direct - Product Information (Site not responding. Last check: 2007-10-07)
		Whether you are working on SD or 2K Film, Autodesk® Stone® Direct Fibre Channel storage solution from Autodesk Media and Entertainment is the underlying subsystem that provides the high-performance, real-time playback of non-compressed digital media.
		Stone Direct brings significant performance and operational advantages to independent creative systems as well as systems configured in a switchable storage environment.
		Stone Direct provides the essential control and performance required when working with any sized digital media.
	www.autodesk.com /stonedirect (178 words)

	PlanetMath: external direct product of groups (Site not responding. Last check: 2007-10-07)
		More generally, we can define the external direct product of
		"external direct product of groups" is owned by mathcam.
		This is version 5 of external direct product of groups, born on 2002-02-19, modified 2005-08-26.
	www.planetmath.org /encyclopedia/DirectProduct2.html (82 words)

	RealCT Direct - Product Information - Overview (Site not responding. Last check: 2007-10-07)
		With direct access to the driver, developers can create full-featured CT applications that minimize code space, execute faster and implement only the needed subset of the driver’s capabilities.
		This direct access enables developers to create applications with fast execution time and direct control over all devices in the system.
		With direct access to the driver, developers can create CT applications that have the required system features while implementing only the needed subset of the driver’s capabilities.
	www.brooktrout.com /products/realct (290 words)

	Citations: Direct product decompositions of lattices - Libkin (ResearchIndex) (Site not responding. Last check: 2007-10-07)
		Citations: Direct product decompositions of lattices - Libkin (ResearchIndex)
		Libkin, Direct product decompositions of lattices, closures and relation schemes, Discrete Mathematics 112 (1993), 119--138.
		Direct Decompositions of Atomistic Algebraic Lattices - Libkin (1995)
	citeseer.ist.psu.edu /context/1287291/0 (82 words)

	MLM Consulting : Michael L. Sheffield's MLM Consultant team
		Profit generating products are everywhere, waiting for the observant eye to notice.
		Like the geologic conditions that create gold, product opportunities are simply conditions that offer a chance, a lucky strike, which depending on the prospector, can either be claimed or missed.
		I'm not suggesting this kind of product exploration is easy You may need to subscribe to dozens of foreign trade magazines, write hundreds of letters and make who knows how many inquiries by e-mail, fax and phone.
	www.sheffieldnet.com /srn_artice13.html (2482 words)

	DPP Direct Product Profitability
		Essentially, it is the profit, a unit of product earns per cm.
		Consequently, some high volume selling products with larger sized dimensions may have a lower DPP per cm figure than some lower volume selling products, because they use less shelf space.
		Or perhaps, the supplier only sells one product, so the cost bourne by the purchasing and administration department to source that single product may reduce the product's DPP contribution per cm.
	www.productprofitability.com /DPPDiilityind.htm (390 words)

	Nathan Urban, John Baez: Tensor Product and Direct Sum
		Yes, the direct sum of two Hilbert spaces is just their Cartesian product, made into a Hilbert space in a fairly obvious way.
		After all, in any category, both products and coproducts are defined using commutative diagrams, the only difference between the two being that the arrows are turned around.
		It may seem weird that the direct sum of vector spaces is both the product and coproduct, but it's true: this is part of Vect being an "abelian category".
	math.ucr.edu /home/baez/photon/tensor.htm (793 words)

	K-and L-theory of the semi-direct product of the discrete Heisenberg group by Z/4, by Wolfgang Lueck (Site not responding. Last check: 2007-10-07)
		K-and L-theory of the semi-direct product of the discrete Heisenberg group by Z/4, by Wolfgang Lueck
		We compute the group homology, the topological K-theory of the reduced C^-algebra and the algebraic $- and L-theory of the group ring of the semi-direct product* of the three-dimensional discrete Heisenberg group by Z/4.
		These computations will follow from the more general treatment of a certain class of groups G which occur as extensions 1 to K to G to Q to 1 of a torsionfree group K by a group Q which satisfies certain assumptions.
	www.math.uiuc.edu /K-theory/0718 (123 words)

	Direct Gardening Error: 404 Page Not Found
		The specific product you are looking for is currently unavailable or the page you are looking for might have been removed, had its name changed, or is temporarily unavailable.
		The specific product you are looking for may be sold under a different name.
		If you have questions regarding product availability, please contact our Customer Service Department.
	www.direct-gardening.com /detail.asp?pid=7670&cc=g&dn=75 (83 words)

	Appliances Direct Product Profile (Site not responding. Last check: 2007-10-07)
		Our website offers you a hassle free shopping experience.
		We will arrange delivery direct to the destination of your choice at a time suitable to you.
		With Appliances Direct you are guaranteed a very fast and efficient service thus taking the hassles out of your shopping and at the best prices possible.
	www.appliancesdirect.co.nz (109 words)

	Matrix multiplication : Direct product (Matrix) (Site not responding. Last check: 2007-10-07)
		It is defined between two matrices only if the number of columns of the first matrix is the same as the number of rows of the second matrix.
		Elements from each matrix are paired off in the direction of the arrows; each pair is multiplied and the products are added.
		It uses material from the wikipedia article Matrix multiplication : Direct product (Matrix).
	www.eurofreehost.com /di/Direct_product_(Matrix).html (243 words)

	Sigmund Freud [Internet Encyclopedia of Philosophy]
		After a life of remarkable vigour and creative productivity, he died of cancer while exiled in England in 1939.
		As indicated above, both Charcot and Breuer had a direct and immediate impact upon him, but some of the other factors, though no less important than these, were of a rather different nature.
		Unsurprisingly, this in turn has given rise to a systematic backlash, in which organisations of accused parents, seeing themselves as the true victims of what they term 'False Memory Syndrome', have denounced all such memory-claims as falsidical, the direct product of a belief in what they see as the myth of repression.
	www.iep.utm.edu /f/freud.htm (4636 words)

	Claims Direct Product Details
		Electronic Claims is a paperless means of submitting medical insurance claims directly form the medical provider’s computer.
		Claims Direct allows the computer operator to enter and edit the claims data, create a “file” containing that data, and then, using a modem, transmit the file to the carrier via telephone lines.
		Claims Direct can be used as a stand-alone program to create and transmit claims.
	www.phbs.biz /product_claims_direct.htm (169 words)

	Direct Marketing Product Exposure Services (Site not responding. Last check: 2007-10-07)
		Product Exposure Services, Inc. can help you reach the right people at the right time with the right message.
		Whether your goal is to maximize relationships with existing customers or to acquire new ones, we can help develop and execute effective information-based marketing campaigns, with a focus on short-term results, while building the brand for the long-term.
		And we analyze results and use what we learn to refine and improve those efforts.
	www.newproductservices.com /directmarketing.cfm (110 words)

	Direct Response Marketing Product Information VIAGRA, UPRIMA, CIALIS, LEVITRA, AVODART, XENICAL, REDUCTIL, PROPECIA, ...
		You are advised to read the product label together with any information enclosed in the packaging each time before using this product.
		The coadministration of vardenafil with nitrates or nitric oxide donors (such as amyl nitrite) in any form is contraindicated.
		If you stop using this product, you will gradually lose the hair you have gained.
	www.1-stop-pharmacy.com /prodinfo.html (1980 words)

	ABSTRACT ALGEBRA ON LINE: Structure of Groups (part 2)
		(4) G is a direct product of its Sylow subgroups.
		Thus the dihedral group is a semidirect product of a cyclic subgroups of order n by a cyclic subgroup of order 2.
		Then G is isomorphic to a semidirect product of its Sylow subgroups.
	www.math.niu.edu /~beachy/aaol/structure2.html (755 words)

	On a Vizing-like Conjecture for Direct Product Graphs (ResearchIndex) (Site not responding. Last check: 2007-10-07)
		Abstract: Let fl(G) be the domination number of a graph G, and let G \Theta H be the direct product of graphs G and H.
		3 The Cartesian product of graphs (context) - Vizing - 1963
		1 the domination of the products of graphs II: trees (context) - Jacobson, Kinch - 1986
	citeseer.ist.psu.edu /443545.html (345 words)

	Paid Search Advertising - The Direct Product Feed
		Now your product feed can work effectively within that market with the frequent feed updates needed to highlight product and pricing changes as well as all your other marketing initiatives.
		Whether your company is already participating in a Direct Feed program or is exploring this for the first time, talk to us about how @Web Site Publicity can ensure that your program is as profitable as it is easy to manage.
		We call it an IT Lite solution, since all that is required of your IT support staff in the inclusion of a small bit of code on a select few web pages.
	www.websitepublicity.com /direct-feed.html (353 words)

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