
	Where results make sense

Topic: Addition chain

Related Topics

Additional Member System

English as an additional language

Minkowski addition

tetrahedral carbonyl addition compound

Addition in N

Addition chain

Matrix addition

addition theorem

Mere addition paradox

addition reaction

Free radical addition

electrophilic addition

In the News (Sat 19 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	NationMaster - Encyclopedia: Addition chain
		In mathematics, an addition chain is a sequence a
		Addition chains can be used for exponentiation: so for example we only need 7 multiplications to calculate 5
		In mathematics, addition chain exponentiation is a fast method of exponentation.
	www.nationmaster.com /encyclopedia/Addition-chain (218 words)

	Chapter 16. Polymers. Characteristics, Applications and Processing
		Elastic elongation is due to uncoiling, untwisting and straightening of chains in the stress direction.
		In vulcanization, crosslinking of the elastomeric polymer is achieved by an irreversible chemical reaction usually at high temperatures (hence ‘vulcan’), and usually involving the addition of sulfur compounds.
		In silicone rubbers, the backbone C atoms are replaced by a chain of alternating silicon and oxygen atoms.
	www.virginia.edu /bohr/mse102/chapter16.htm (792 words)

	Addition chain - Wikipedia, the free encyclopedia
		In mathematics, an addition chain is a sequence a
		As an example: 1, 2, 3, 6, 12, 24, 30, 31 is an addition chain for 31, of length 7, since
		Addition chains can be used for exponentiation: so for example we only need 7 multiplications to calculate 5
	en.wikipedia.org /wiki/Addition_chain (74 words)

	Addition chain exponentiation - Wikipedia, the free encyclopedia
		In mathematics, addition chain exponentiation is a fast method of exponentation.
		It works by creating a minimal-length addition chain that generates the desired exponent.
		Each exponentiation in the chain can be evaluated by multiplying two of the earlier exponentiation results.
	en.wikipedia.org /wiki/Addition_chain_exponentiation (99 words)

	Addition Polymerization
		During a chain reaction, most of the time is spent in the propagation phase as the polymer chain grows.
		The physical properties of a polymer chain depend on the polymer's average length, the amount of branching, and the constituent monomers.
		The graph is a bar graph of the average size of the polymer chain versus the reciprocal of the number of initiators (a red bar represents the active or most recent polymerization; a blue bar, the past polymerizations).
	www.materialsworldmodules.org /resources/polimarization/3-addition.html (1033 words)

	Polymer Synthesis (Site not responding. Last check: 2007-11-05)
		Addition polymerization describes the method where monomers are added one by one to an active site on the growing chain.
		The tendency for this free radical to gain an additional electron in order to form a pair makes it highly reactive so that it breaks the bond on another molecule by stealing an electron, learing that molecule with an unpaired election (which is another free radical).
		In this diagram, (chain) refers to a chain of connected monomers, and X refers to a substituent group (a molecular fragment) specific to the monomer.
	plc.cwru.edu /tutorial/enhanced/files/polymers/synth/synth.htm (1188 words)

	DNR (Site not responding. Last check: 2007-11-05)
		Located in the heart of Illinois' largest concentration of natural lakes, Chain O Lakes State Park is a water oriented recreation area with outstanding opportunities for boaters, anglers and skiers.
		With nearly 6,500 acres of water and 488 miles of shoreline on the chain, Chain O Lakes State Park is the heart of water wonderland.
		Chain O Lakes became a state park in 1945, when the State of Illinois made an initial purchase of 840 acres.
	dnr.state.il.us /lands/landmgt/PARKS/R2/CHAINO.HTM (1532 words)

	Tangram Technology Ltd. - Polymer Chemistry
		In this type of chain polymerisation a free radical mechanism is involved in the splitting of the double bond to allow chain building to begin.
		The addition of a different monomer to a system in which the first monomer has been exhausted but polymer ions are still "living".
		Thus if a monomer B is addition polymerised in the presence of preformed polymer A, which may be in solution or dispersed, some of B becomes grafted to A.
	www.tangram.co.uk /TI-Polymer-Chemistry.html (2767 words)

	Addition Chains' Database
		An addition chain for n is a finite increasing sequence of positive integers whose first element is 1, last element is n, and every element after the first is the sum of two previous elements in the chain.
		A shortest addition chain for n is an addition chain for n with the smallest possible number of elements.
		A Brauer chain is an addition chain in which every member after the first is the sum of the immediately preceeding element and a previous element (possibly the same element).
	www.iit.cnr.it /staff/giovanni.resta/ac (357 words)

	Heuristics for Minimum Brauer Chain Problem
		An addition chain for a positive integer n is a sequence of integers 1 = a
		is an addition chain for 12 with length 4.
		A Brauer chain is an addition chain in which each member uses the previous member as an addend.
	www.public.asu.edu /~fgelgi/algor/brauer/brauer_chain.htm (1486 words)

	Shippensburg University - College of Business (Site not responding. Last check: 2007-11-05)
		Supply chain operations and management refers to the movement and storage of goods as they move from raw materials all the way to the final user.
		Achieving efficiency in the supply chain is accomplished by developing knowledge of transportation, inventory control, warehousing, materials handling, packaging, purchasing, and the tools necessary to analyze and coordinate these activities.
		In addition to these courses, there are both required courses and electives in the major, in which students will develop cross-functional team skills that emphasize cost analysis, e-business, logistics network modeling, and information system technology.
	www.ship.edu /~business/dept/ima/aboutsupch.htm (647 words)

	Alkyne Reactivity (Site not responding. Last check: 2007-11-05)
		The catalytic addition of hydrogen to 2-butyne not only serves as an example of such an addition reaction, but also provides heat of reaction data that reflect the relative thermodynamic stabilities of these hydrocarbons, as shown in the diagram to the right.
		The addition of hydrogen is stereoselectively syn (e.g.
		Electron addition to a functional group is by definition a reduction, and we noted earlier that alkynes are reduced by solutions of sodium in liquid ammonia to trans-alkenes.
	www.cem.msu.edu /~reusch/VirtualText/addyne1.htm (2981 words)

	Section 4 - IV. Major Issues (Site not responding. Last check: 2007-11-05)
		In addition, when there is employee turnover, trained employees will be able to bring their first-aid skills from one workplace to another and thus relieve the training burden for the new employer.
		Chain saw noise is possible, and by the way, that's my most dangerous part of my job is to do a safety inspection or to go up and check on cutters in a strip, to approach cutters.
		By specifying that chain saws used by logging employees be equipped with chain brakes, OSHA emphasizes that responsibility for compliance with OSHA standards rests with the employer, not the manufacturer or the employee.
	www.osha.gov /pls/oshaweb/owadisp.show_document?p_table=PREAMBLES&p_id=964 (17919 words)

	Addition Chains (Site not responding. Last check: 2007-11-05)
		An addition chain for n is an integer sequence
		Your job is to construct an addition chain for n with minimal length.
		For example, <1,2,3,5> and <1,2,4,5> are both valid solutions when you are asked for an addition chain for 5.
	acm.uva.es /p/v5/529.html (158 words)

	Addition Polymers
		Addition polymers are usually made from molecules that have the following general structure:
		The chain begins to grow--propagate, stage two--when the new free radical formed in the initiation stage reacts with another monomer to add two more carbon atoms.
		If one of the four atoms connected to the carbons in the monomers double bond is chlorine and the others are hydrogen, the monomer is vinyl chloride, and the polymer it forms is poly(vinyl chloride) or PVC.
	www.mpcfaculty.net /mark_bishop/addition_polymers.htm (431 words)

	Publications Jerome Claverie (Site not responding. Last check: 2007-11-05)
		The polymer prior neutralization is constituted of the expected trithiocarbonate chain-ends and of the H-terminated chains issued from a reaction of transfer to solvent.
		The absence of chain transfer and termination was confirmed by NMR and MALDI-TOF data of polymers obtained using BEB ((1-bromoethyl)benzene) and BIB as initiators.
		Chain transfer to alkyl halides as well as the influence of the ligand on the reaction kinetics are also examd..
	www.unh.edu /claverie/Publications_Jerome_Claverie.html (5556 words)

	Logging eTool: Text of the OSHA Logging Compliance Directive, CPL 2-1.22 (Site not responding. Last check: 2007-11-05)
		In addition, each chain saw shall meet the chain saw brake and other performance and safety requirements of the ANSI B175.1 - 1991 "Safety Requirements for Gasoline - Powered Chain Saws." No chain-saw kick back device shall be removed or otherwise disabled.
		For example, a chain saw operator would be in compliance if he or she rested the chain saw firmly on a log or other stationary item and started the chain saw while standing upright.
		The feller is not required to remain next to the tree waiting for the chain saw to idle down before retreating a safe distance from the falling tree.
	www.osha.gov /SLTC/etools/logging/sections/directives/log_chainsaws_cpl2122.html (418 words)

	Overview - Commons Chain
		Towards that end, the Chain API models a computation as a series of "commands" that can be combined into a "chain".
		To maximize the usefulness of the Chain of Responsibility pattern APIs, the fundamental interface contracts are defined in a manner with zero dependencies other than an appropriate JDK.
		In addition, separation of a computation into discrete commands that operate on a general purpose context allows easier creation of commands that are unit testable, because the impact of executing a command can be directly measured by observing the corresponding state changes in the context that is supplied.
	jakarta.apache.org /commons/chain (459 words)

	::::: WELCOME TO MITMOL CONVEYORS PVT. LTD. ::::::
		In addition to conveying operations they may be used as a travelling worktable, or a combination of the two.
		Apron Chain Conveyors : Apron Chain Conveyor consist of one or more endless chain or other linkage to which overlapping or interlocking plates or shapes are attached to form a continuous moving bed for bulk materials, package or objects.
		The chains operate on tracks with top surfaces of the chain projecting sufficiently above the tracks to enable various flat objects to be carried on them.
	www.mitmol.com /sacc.html (401 words)

	C (Site not responding. Last check: 2007-11-05)
		In contrast, in addition or chain polymerizations there is an active site at the end of a growing chain where monomers are added sequentially, one by one.
		It was at first thought that the chains were reasonably linear, but in 1940 it was found (by infrared spectroscopy) that there were more methyl groups present than could be accounted for by chain ends alone.
		A few long chain branches are also formed, but it is the short chain branches that play the major role in disrupting crystallinity, hence resulting in a material that has a lower melting point and is weaker and softer than that made from "straighter" chains.
	www.pct.edu /prep/Pauls%20Book/secc.htm (3416 words)

	Co-expression of multiple myosin heavy chain genes, in addition to a tissue-specific one, in extraocular musculature -- ...
		Co-expression of multiple myosin heavy chain genes, in addition to a tissue-specific one, in extraocular musculature -- Wieczorek et al.
		Co-expression of multiple myosin heavy chain genes, in addition to a tissue-specific one, in extraocular musculature
		The expression of the regulatory myosin light chain 2 gene during mouse embryogenesis.
	www.jcb.org /cgi/content/abstract/101/2/618 (1294 words)

	News - Neuro-Developmental Benefits Of Formula Addition Indefinite In Pre-Term Infants
		Addition of long-chain polyunsaturated fatty acid (LCPUFA) to formula in the first weeks of life does not offer neuro-developmental advantages to pre-term infants up to age 18 months.
		"Additional study is needed to test whether there is indeed an underlying benefit or whether this difference was attributable to chance," say investigators from the Childhood Nutrition Research Centre at the Institute of Health in London.
		The researchers tested the balanced addition of LCPUFA in a double-blind, randomised trial with 195 formula-fed, pre-term infants at two British neonatal units.
	www.docguide.com /news/content.nsf/news/8525697700573E1885256BF1004F52F8 (483 words)

	News
		The Chain and Sprocket safety gate model is designed primarily for continuous-use and extreme material handling operations.
		Chain and Sprocket Safety Gates are designed to withstand high-use material handling operations in which repetitive full-case pallet handling occurs.
		In the chain and sprocket design, the front and rear gates are interconnected with roller chains.
	www.mhia.org /news/display_news_release.cfm?id=143&division_id=10143 (395 words)

	[No title]
		1976: Addition chains are linear circuits where all multiplications are by nonnegative integers and where multiplication by k is always implemented as k-1 additions; equivalently, linear circuits with all entries either 0, 1, or 2.
		1981: Olivos, without the help of matrices, gave a laborious several-page proof that an addition chain for a p-by-1 matrix M of positive integers could be converted into an addition chain for M* having exactly p-1 more additions, and vice versa.
		Knuth and Papadimitriou, following up on Olivos's paper, proved that an addition chain for a p-by-q matrix M of nonnegative integers, with all rows nonzero and all columns nonzero, could be converted into an addition chain for M* having exactly p-q more additions, and vice versa.
	cr.yp.to /transposition.html (1805 words)

	Shortest Addition Chains
		Now ask for the minimal length of an addition chain for a given number n and call this value l(n).
		Write n in its binary representation and denote by v(n) the number of 1-bits in this representation and by lb(n) the binary logarithm of n rounded to the next integer down in the case it is not already integer (floor-function).
		In blue the number of cases are marked to compute n=c(r) and finally in dark green the average number of cases is drawn which is needed to calculate l(n) for all numbers from 1 up to n (the last gives a good estimate of the average run time of the algorithm).
	wwwhomes.uni-bielefeld.de /achim/addition_chain.html (1000 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		In addition, at each of the stages in the mineral value-addition chain there are opportunities for support services and supply activities which, in the case of Africa, have not yet, unfortunately, been fully developed.
		Generally, entry barriers are lower and less complicated and access to markets easier at the start of the mineral value-addition chain but very capital intensive, whilst the converse is true at the sophisticated fabrication end.
		In addition, Ministers recognised that private sector initiatives, such as the Global Mining Initiative to promote global leadership for the minerals industry and the Mining, Minerals and Sustainable Development Project, had no counterparts at governmental level.
	www.iiconf.com /africa05/MIASA090204.doc (1318 words)

	Art Glass & Estate Jewelry By TooBi Ltd. Archives,Estate Jewelry,Silver,Period Directory
		The chain is made up of a heavy link that begins up by the T-bar and goes down towards the swivel end.
		In addition, between the two chains there is a place to hang a watch fob.
		The chain is made up of a very heavy link that begins up by the T-bar and tapers as it goes down towards the swivel end.
	www.trocadero.com /toobiltd/catalog/Archives:Estate_Jewelry:Silver:Period.html (224 words)

	The On-Line Encyclopedia of Integer Sequences
		The sequence is based on a table of shortest addition chain lengths computed by N. Clift (neillclift(AT)msn.com), see link to A. Flammenkamp's web page given at A003313.
		a(1)=8719 because this is the smallest number for which the addition chain produced by the power tree method [1 2 3 5 7 14 28 56 61 117 234 468 936 1872 3744 3861 7722 7783 8719] is by two terms longer than the shortest possible chains for this number.
		An example of such a chain is [1 2 3 6 9 15 17 34 68 136 272 544 1088 2176 4352 4367 8719].
	www.research.att.com /~njas/sequences/A115614 (212 words)

	Addition Chains as Test Trees and a Sequential Variant as the Huffman Problem (ResearchIndex) (Site not responding. Last check: 2007-11-05)
		Addition Chains as Test Trees and a Sequential Variant as the Huffman Problem (1999)
		Abstract: An addition chain can be interpreted as a test tree to identify a single distinguished item from a set of candidates.
		In this diagnostic problem, there is a constant cost associated with setting up a test, distinct tests distinguish between di#erent size subsets of items, and all tests are set up in advance.
	citeseer.lcs.mit.edu /abrahams99addition.html (433 words)

Try your search on: Qwika (all wikis)