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Topic: Generating set

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	NationMaster - Encyclopedia: Finitely generated module
		Thus we say that the whole area of the map is generated by the set {1 mile east, 1 mile north} together with coefficients from the real numbers.
		In the case where the module M is a vector space over a field R, and the generating set is linearly independent, n is well-defined and is referred to as the dimension of M (well-defined means that any linearly independent generating set has n elements: this is the dimension theorem for vector spaces).
		However, for a general ring R, it is an important concept, as is evidenced by the fact that the category of all finitely presented R-modules is abelian, something that's not generally true for the category of all finitely-generated R-modules.
	www.nationmaster.com /encyclopedia/Finitely_generated-module (931 words)

	PlanetMath: generating set of a group
		A group that has a generating set with only one element is called a cyclic group.
		A group that has a generating set with only finitely many elements is called a finitely generated group.
		This is version 4 of generating set of a group, born on 2005-12-30, modified 2006-08-14.
	www.planetmath.org /encyclopedia/GeneratingSet.html (193 words)

	General Form of an Estimable Function
		If other generating sets for L are represented symbolically, the symbolic notation looks different.
		With the thousands of generating sets available, the question arises as to which one is the best to represent L symbolically.
		Clearly, a generating set containing a minimum of rows (of full row rank) and a maximum of zero elements is desirable.
	www.asu.edu /it/fyi/dst/helpdocs/statistics/sas/sasdoc/sashtml/stat/chap12/sect3.htm (318 words)

	[No title]
		Generators for use with most generating sets are rated in kW or kVA at an assumed minimum power factor of 0.8 lagging and at the specified output voltage and frequency.
		When the generator set is operating under stabilized conditions, the random speed variation shall not exceed plus or minus 0.25% for application classification 1 or 2 and plus or minus 0.5% for classifications 3 and 4.
		When the generator set is operating under stable load and temperature conditions, the random voltage variation shall not exceed 0.25% for classifications 1 or 2 and 0.50% for classifications 3 and 4.
	www.egsa.org /standards/_docs/final/std101p.doc (4992 words)

	Base and Strong Generating Set (Site not responding. Last check: )
		Set the base of G to be [B[1],..., B[n]] where the tuple B has n components.
		Set the limit for the size of the first basic orbit to be n.
		Given a matrix group G for which a base and strong generating set are known, and an integer i, where 1 <= i <= k with k the length of the base, return the subgroup of G which fixes the first i - 1 points of the base.
	www.math.lsu.edu /magma/text306.htm (1235 words)

	wikien.info: Main_Page (Site not responding. Last check: )
		Thus we say that the whole area of the map is generated by the set {1 mile east, 1 mile north} together with coefficients from the real numbers.
		In the case where the module M is a vector space over a field R, and the generating set is linearly independent, n is well-defined and is referred to as the dimension of M (well-defined means that any linearly independent generating set has n elements: this is the dimension theorem for vector spaces).
		However, for a general ring R, it is an important concept, as is evidenced by the fact that the category of all finitely presented R-modules is abelian, something that's not generally true for the category of all finitely-generated R-modules.
	www.alanaditescili.net /index.php?title=Finitely-generated_module (780 words)

	[No title]
		D' is a free set that spans M. Such a minimal generating set of M is called a BASIS of M. In this introduction, we restrict the theory to vector spaces with a finite basis.
		The space generated by D is called the row space of A. The rows of A are a generating set of the row space.
		The space generated by D is called the column space of A. The columns of A are a generating set of the column space.
	www.ercangurvit.com /vectorspaces/vecspaceeng.htm (4069 words)

	ipedia.com: Generating set of a group Article (Site not responding. Last check: )
		In abstract algebra, a generating set of a group is a subset S of a group G, such that every element of G can be expressed as the product of finitely many elements of S and their inverses.
		More generally, if S is a subset of a group G, then ~~is the smallest subgroup of G containing every element of S; equivalently, ~~is the subgroup of all elements of G that can be expressed as the finite product of elements in S and their inverses.~~~~
		The most general group generated by a set S is the group freely generated by S. Every group generated by S is isomorphic to a factor group of this group; a feature which is utilized in the expression of a group's presentation.
	www.ipedia.com /generating_set_of_a_group.html (437 words)

	Generating set of a group -- Facts, Info, and Encyclopedia article (Site not responding. Last check: )
		, the subgroup generated by, is the smallest ((mathematics) a subset (that is not empty) of a mathematical group) subgroup of G containing every element of S; equivalently, ~~is the subgroup of all elements of G that can be expressed as the finite product of elements in S and their inverses.~~
		Many theorems that are true for finitely generated groups fail for groups in general.
		The most general group generated by a set S is the group freely generated by S.
	www.absoluteastronomy.com /encyclopedia/g/ge/generating_set_of_a_group.htm (403 words)

	4.5 Generating set for the module of syzygies
		These generators do not form a minimal set and there are relations between them; in fact this method does not guarantee a minimum set of generators.
		Therefore, from this proven set of generators we can check whether a particular set is in fact a generating set.
		Another set of generators which may be useful for further work is a Gröbner basis of a module.
	relativity.livingreviews.org /Articles/lrr-2005-4/articlesu5.html (389 words)

	Request for Proposal: Diesel Generating Set - United Nations Industrial Development Organization
		The proposal shall not contain any interlineations, erasures or overwriting except as necessary to correct errors made by the bidder, in which case such corrections shall be initialed by the person or persons signing the proposal.
		In your proposal you must confirm your acceptance of the UNIDO General Conditions, a copy of which is enclosed.
		The UNIDO General Conditions shall form an integral part of the written contract with the successful bidder.
	www.unido.org /en/doc/37862 (1348 words)

	Base and Strong Generator Functions
		Given a permutation group G for which a base and strong generating set are known, and an integer i, where 1 <= i <= k with k the length of the base, return the subgroup of G which fixes the first i - 1 points of the base.
		A set of strong generators for the i-th term in the stabilizer chain for the permutation group G. A BSGS must be known for G. Functions for Working with a Base and Strong Generating Set
		Given a permutation group G acting on the set Omega, for which a base and strong generating set are known, and a sequence Q of distinct points of Omega defining an element x of G, return x as a permutation.
	www.mathematik.uni-kassel.de /magma/text311.html (2099 words)

	Generating set - Wikipedia, the free encyclopedia
		In mathematics, generating set refers to several related concepts:
		Generating set of a group: S is a generating set of a group if the smallest subgroup of G containing S is G itself.
		For example, polynomials are a generating set of the space of all continuous functions on the closed unit interval, because taking closure under limits forms the entire space.
	en.wikipedia.org /wiki/Generating_set (139 words)

	Publication Details - AS 3010.1-1987 Electrical installations - Supply by generating set - Internal combustion engine ...
		The Standard applies to electricity generating sets that are driven by internal combustion engines, and which are used for the supply of fixed electrical installations in buildings or items of electrical equipment.
		Section 2 outlines general requirements for the installation of generating sets and Sections 3 and 4 introduce additional requirements for permanently connected and plug and socket-outlet connected generating sets respectively.
		Applies to the installation of electricity generating sets that are driven by internal combustion engines, and which are used for the supply of fixed electrical installations in buildings or items of electrical equipment.
	www.standards.com.au /Catalogue/script/Details.asp?DocN=stds000004505 (452 words)

	OERC - Case No 2 of 1996
		Subsequently, the rating of the proposed generating set was stated to be 380 KVA and finally it has been indicated that it is of 365 KVA.
		It is thus clear that the petitioner has installed a generating set of higher rating than what needed by his contracted load and distinctive requirements of the load profile.
		We have noted earlier that the petitioner has established a generating set with a higher rating costing more money, thus enabling him to draw higher subsidy from the Industry Department than what he would have been entitled to in case he had established a generating set of lower rating.
	www.orierc.org /Orders/misc/order2.htm (1600 words)

	Generating Sets for the Knapsack Problem (Site not responding. Last check: )
		This talk deals with the study of generating sets for the set of all non-neagtive integer solutions of a linear diophantine equation.
		Such a generating set is a subset of integral vectors such that every difference vector of two integer points that satisfy the linear diophantine equation can be written as the non-negative integer combination of elements from the generating set.
		A generating set for a linear diophantine equation also defines a test set for the knapsack problem.
	rosowww.epfl.ch /ismp97/ismp_abs_402.html (121 words)

	EGSA Powerline Magazine - Articles (Site not responding. Last check: )
		However it is the responsibility of the generating set manufacturer to ensure correct operation regarding the torsional vibration.
		The generating set manufacturer has to take responsibility that his design will not create undue linear vibration that might have long term durability problems associated with engine, generator or panel mounted components.
		The population of such generating sets is enormous as they are usually found in the domestic and recreational fields.
	www.egsa.org /powerline/plarticle.cfm?article=30 (696 words)

	diesel generating set
		There is always a generating set that corresponds to the power, frequency and voltage of your requirements The most important brands of engines...
		Solé Diesel was set up as a family company specialising in building carriages, and afterwards specialised in mechanics, and car repairs in...
		A generating set is used to delay the input of the electric irrigation pump.
	diesel-generating-set.trabajosenespana.com (276 words)

	diesel generators 120kw to 600kw (Site not responding. Last check: )
		Generators are arranged to work as two separate units or can be synchronized together giving 1000KVA.
		Machine complete with base fuel tank and set mounted control panel and loose exhaust silencer, Year approx.1990, hours run believed less than 500, ex standby set.
		Generator fitted with low oil pressure, high water temperature and battery charging meters, voltage adjuster and set mounted electrical control panel incorporating volt meter, ammeters, frequency meter, engine stop/start controls.
	www.generatorsforsale.ca /dg50hz600kw.htm (1374 words)

	Finding a small generating set for an ideal
		Determining an algorithm for finding a minimal length generating set for an ideal is an open problem for commutative polynomial rings and is probably unsolvable in the noncommutative case.
		A more practical goal is to try to find, given a finite set X of polynomials, a minimal generating subset of X (that is, a subset Y of X which generates the same ideal which X generates and which is a minimal generating set).
		Thus, from a purely mathematical point of view, one natural generalization of a commutative reduced Gröbner Basis is a minimal generating subset of a reduced Gröbner Basis (even though this minimal generating subset is not itself a GB).
	math.ucsd.edu /~ncalg/StrategyPaper/node61.html (900 words)

	power plant diesel engine generating set (Site not responding. Last check: )
		years a great number of generating sets and power stations have been...
		at the plant set about getting the equipment at the plant in working order so that when power was called for...
		power plant A generating set installed in a container is a compact and independent source of energy.
	power-plant.blind9.com /power-plant--diesel-engine-generating-set.html (261 words)

	Articles - Basis (linear algebra) (Site not responding. Last check: )
		B is both a set of linearly independent vectors and a generating set of V.
		B is a minimal generating set of V, i.e., it is a generating set but no proper subset of B is.
		Recall that a set B is called a generating set of V if every vector in V is a linear combination of vectors in B.
	lastring.com /articles/Basis_(linear_algebra)?... (1046 words)

	EGSA Powerline Magazine - Articles (Site not responding. Last check: )
		Secondly, where the installation and generating set are not permanently fixed and are intended to be moved to unspecified locations for temporary or short-term use, a residual operating current device (RCD) of not more than 30mA shall be provided for automatic disconnection of the generating set.
		However, it was accepted that the statement in the standard is not clear and could easily be interpreted to mean, for example, generating sets that are available for hire.
		Assuming that the technical developments that have been associated with present day generating sets continues at the same level over the next five years, we should see some remarkable results and long-term benefits to human health.
	www.egsa.org /powerline/plarticle.cfm?article=71 (720 words)

	generating set
		There is always a generating set that corresponds to the power, frequency and voltage of your requirements The most important brands of engines install our generator sets.
		To this generating set him the released thermal energy through the combustion can be taken advantage of gases, by means of installed heat exchangers in the circuits of refrigeration of shirts, of lubricating oil, plus an extra advantage in a boiler of exhaust gases recovery.
		and storage area bay for the incoming raw material, a treatment and reduction plant to convert the biomass into fuel, a 34,000 Kg/h at 40 bar steam boiler and a turbo generating set with a 7.8 MW steam turbine, along with all the auxiliary facilities required for a plant of this type...
	generating-set.trabajosenespana.com (478 words)

	diesel generators 50Hz 600kw to 1000kw (Site not responding. Last check: )
		With 6000 series set mounted control panel with full instrumentation, Leroy Somer alternator 1000KVA, 800 KW, 400/230 volt, 3 phase, 50 cycles, 0.8pf, 1443 amps.
		Set No. 2 type B404R 950KVA serial no. W3690/01, 0.8pf, 415 volt, 50 cycles, 1500 rpm, 1279 amps, 3 phase.
		750KVA Caterpillar model D349 diesel generating set, skid mounted, electric start, radiator cooled, turbocharged 1500 rpm, coupled to a Cat SR4 alternator, 415 volt, 3 phase, 50 cycles, 0.8pf, Machine complete with free standing radiator, exhaust silencer system and free standing control panel.
	www.generatorsforsale.ca /dg50hz1000kw.htm (1126 words)

	Generating sets
		It is also generated by the reflection about the vertical and the reflection about the horizontal.
		The integers for example is finitely generated whereas the rational numbers under addition is not finitely generated.
		By convention, if X is the empty set then the (sub)group it generates is the trivial group.
	www.math.csusb.edu /notes/advanced/algebra/gp/node12.html (220 words)

	Tide Power System Co.,Ltd.genset, generators, generating set, generatorset, generatorsets, gensets, generating sets, ...
		By establishing a strong and beneficial relationship with our global strategic partner, TPS has achieved annual sales amounting over hundred millions yuan, and is now one of the leading companies in the generating set industry.
		TPS undertakes to supply you with a reliable innovative and quality electrical energy source with composing of high-quality diesel engines that are rigidly connected with generators.
		TPS offers you a wide range of standard models, from 1 to 5000KVA, and is able to use different type of fuel, such as diesel, gasoline and natural gas.
	www.commerce.com.tw /modules.php?modules=company&action=company_inside&ID=E0064939 (339 words)

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