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Topic: Divide and conquer


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In the News (Thu 16 Feb 12)

  
  Divide and conquer algorithm - Wikipedia, the free encyclopedia
Divide and conquer is a powerful tool for solving conceptually difficult problems, such as the classic Tower of Hanoi puzzle: all it requires is a way of breaking the problem into sub-problems, of solving the trivial cases and of combining sub-problems to the original problem.
Dividing the problem into sub-problems so that the sub-problems can be combined again is often the major difficulty in designing a new algorithm.
Divide and conquer algorithms are naturally adapted for execution in multi-processor machines, especially shared-memory systems where the communication of data between processors does not need to be planned in advance, because distinct sub-problems can be executed on different processors.
en.wikipedia.org /wiki/Divide_and_conquer_(computer_science)   (936 words)

  
 Kids.net.au - Encyclopedia Divide and conquer (politics) -   (Site not responding. Last check: 2007-10-21)
In politics and sociology, divide and conquer is a strategy of gaining and maintaining power by breaking up larger concentrations of power into chunks that individually have less power than the one implementing the strategy.
It is a folk truism that todays world population of 6 billion people are ruled by approximately 10 thousand people, who in turn are ruled by a committee of 300.
The phrase comes from the Latin "Divide et impera", which translates to "Divide and rule".
www.kids.net.au /encyclopedia-wiki/di/Divide_and_conquer_(politics)   (141 words)

  
 Divide and Conquer   (Site not responding. Last check: 2007-10-21)
Divide and conquer was a successful military strategy long before it became an algorithm design paradigm.
To use divide and conquer as an algorithm design technique, we must divide the problem into two smaller subproblems, solve each of them recursively, and then meld the two partial solutions into one solution to the full problem.
Divide and conquer is a design technique with many important algorithms to its credit, including mergesort, the fast Fourier transform, and Strassen's matrix multiplication algorithm.
www.cs.toronto.edu /~yuana/AlgorithmManual/BOOK/BOOK2/NODE53.HTM   (231 words)

  
 Divide and Conquer   (Site not responding. Last check: 2007-10-21)
It divides the problems into subproblems and then solves the problems recursively saving the data each time to be used in the next process.
Finally, the divide and conquer approach is very similar to the dynamic approach in that it divides the problem into subproblems and then solves them recursively, however, it solves problmes when subproblems are not independent of one another.
Divide: divide the given problem into smaller independent subproblems of the same type as the given problem and solve them concurrently.
home.wlu.edu /~whaleyt/classes/parallel/topics/dnc/dnc.html   (395 words)

  
 Divide and conquer - Wikipedia, the free encyclopedia
Divide and conquer (derived from the Latin saying Divide et impera) can mean either:
In politics and sociology, a strategy to gain or maintain power: see divide and rule
In computer science, an algorithm design paradigm based on recursion: see divide and conquer algorithm.
en.wikipedia.org /wiki/Divide_and_conquer   (117 words)

  
 [No title]
Divide and conquer algorithms solve problems by breaking them up into smaller subproblems, recursively solving the subproblems, then combining the results to generate a solution to the original problem.
Furthermore, divide and conquer algorithms naturally work well with a range of cache sizes and at all levels of the memory hierarchy.
Divide and conquer programs therefore automatically adapt to different cache hierarchies, and tend to run well without modification on whatever machine is available.
cag-www.lcs.mit.edu /~rinard/divide_and_conquer   (691 words)

  
 Women's Voice: How Anti-Gun Politicians Divide And Conquer Us
Divide and conquer worked in Canada where handgun ownership is now a felony.
Divide and conquer worked in England where they virtually disarmed the population.
Divide and conquer worked in Australia where gun owners were forced to surrender 640,381 personal firearms.
www.gunowners.org /wv30.htm   (765 words)

  
 A Lazy Divide and Conquer Approach to Constraint Solving   (Site not responding. Last check: 2007-10-21)
Divide and conquer strategy enables a problem to be divided into subproblems, which are solved independently and later combined to form the solutions of the original problem.
Because, it is not possible to cleanly divide a problem into independent subproblems in the presence of constraints that involve variables belonging to different sub-problems.
In this paper, we propose a divide and conquer approach to constraint solving in a lazy evaluation framework.
csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/proceedings/&toc=comp/proceedings/ictai/2002/1849/00/1849toc.xml&DOI=10.1109/TAI.2002.1180792   (276 words)

  
 NW Gardens: Time to divide and conquer perennials
Or, if you are moving the divided perennial to other parts of the garden, have your new holes already dug.
When you divide these, it's best to replant or pot the outer, fresher edges and discard the center.
Generally, late-blooming perennials should be divided in late winter or early spring.
seattlepi.nwsource.com /nwgardens/244425_divide15.html   (1137 words)

  
 divide and conquer   (Site not responding. Last check: 2007-10-21)
Note: The technique is named "divide and conquer" because a problem is conquered by dividing it into several smaller problems.
Three divide and conquer sorting algorithms, as a means of using parallelism.
Paul E. Black and Conrado Martinez, "divide and conquer", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST.
www.nist.gov /dads/HTML/divideconqr.html   (231 words)

  
 Conn Hallinan: Divide and Conquer as Imperial Rules
Ireland was where the English invented the tactic of divide and conquer, and where the devastating effectiveness of using foreign settlers to drive a wedge between the colonial rulers and the colonized made it a template for worldwide imperial rule.
It was "divide and conquer" that made it possible for an insignificant island in the north of Europe to rule the world.
Divide and conquer was 19th and early 20th century colonialism's single most successful tactic of domination.
www.counterpunch.org /hallinan07142004.html   (2574 words)

  
 Colorado Team Adventure Race, Red Bull Divide and Conquer Event Info
The name "Divide and Conquer" stems from the unique fact that unlike other adventure races, teams divide up the race, with just one athlete competing at a time in a relay format.
The Red Bull Divide and Conquer course runs in the shadows of the Continental Divide, sending teams throughout the Animas River Valley and its surrounding peaks between Silverton and Durango Mountain Resort (formerly Purgatory).
Red Bull Divide and Conquer is an open, co-ed competition to athletes in all four disciplines (kayak, trail run, mountain bike, paraglide).
www.redbulldivideandconquer.com /eventinfo.php   (320 words)

  
 A Serial Implementation of Cuppen's Divide and Conquer Algorithm for the Symmetric Eigenvalue Problem - Rutter ...   (Site not responding. Last check: 2007-10-21)
On a DEC Alpha using optimized Basic Linear Algebra Subroutines (BLAS), divide and conquer was uniformly the fastest algorithm by a large margin for...
Parallelizing the Divide and Conquer Algorithm for the..
13 A parallel divide and conquer algorithm for the generalized..
citeseer.ist.psu.edu /131724.html   (679 words)

  
 Divide and Conquer   (Site not responding. Last check: 2007-10-21)
Our strategy will be to divide an instance of a problem into smaller and smaller pieces until we are able to solve the problem for the smaller pieces.
The next application of the divide and conquer technique shall be the chromatic number problem, or graph coloring.
First, we take a graph such as that on the left in figure 3 and divide it into the two subgraphs as shown on the right.
www.cs.engr.uky.edu /~lewis/cs-heuristic/text/local/divide.html   (493 words)

  
 Hip Hop's Ultimate Battle: Race and the Politics of Divide and Conquer
Divide and Conquer has long been a hallmark of America dating all the way back to slavery.
This was one of the beginnings of ethnic divide and conquer.
Over the years this divide and conquer technique that has been refined and has been skillfully used by those in power who have an agenda to control and rule masses of people for both economic and social gain.
www.daveyd.com /articleultimatebattlerace.html   (5097 words)

  
 Sorting by divide-and-conquer   (Site not responding. Last check: 2007-10-21)
The divide and conquer idea: find natural subproblems, solve them recursively, and combine them to get an overall solution.
This was an example of a sorting algorithm where one part used divide and conquer.
Quicksort, invented by Tony Hoare, follows a very similar divide and conquer idea: partition into two lists and put them back together again It does more work on the divide side, less on the combine side.
www.ics.uci.edu /~eppstein/161/960118.html   (1693 words)

  
 Features | Divide and conquer   (Site not responding. Last check: 2007-10-21)
The book, Divided We Fall: The Story of the Paperworkers’ Union and the Future of Labor, written by North Berwick resident Peter Kellman and published by Apex Press of New York, takes as a case study the famous 1987/1988 strike by 1250 paper workers at the International Paper Company (IP) Jay mill.
Cook says he has not read Divided We Fall, but he believes "to say that the international did not support the strike is a terrible misstatement.
We broke our defense fund on this strike." Kellman, he adds, was "not in the loop," and he says Local 14’s leaders asked to end the strike when they saw they weren’t going to get support from other IP unions across the country.
www.portlandphoenix.com /features/top/ts_multi/documents/03917139.asp   (915 words)

  
 I, Cringely . May 20, 2004 - Divide and Conquer | PBS   (Site not responding. Last check: 2007-10-21)
May 20, 2004 - Divide and Conquer
The fussy old toad pictured here was the original "I, Cringely" mascot, circa 1997.
But iPods and iTunes will be everywhere, even here in Charleston, which has a Target store, but is more than 100 miles from the nearest Macintosh dealer.
www.pbs.org /cringely/pulpit/pulpit20040520.html   (1392 words)

  
 Rockzilla.net Danni Leigh "Divide and Conquer" by David Pilot
And Divide and Conquer is a personal effort, make no mistake about it.
The successor to 29 Nights and A Shot of Whiskey and a Prayer, both of which painted Danni as a traditional country crooner with the Clairol starlets dead in her crosshairs, this disc showcases a vocalist who knows where she came from and is damn sure aware of where she wants to go.
And the song's autobiographical tone, the theme of crawling out from under yesterday and moving on, is exactly what Divide and Conquer is all about.
www.rockzilla.net /pilot34.html   (1115 words)

  
 A Divide and Conquer Algorithm for Triangle Mesh Connectivity Encoding   (Site not responding. Last check: 2007-10-21)
We propose a divide and conquer algorithm for the single resolution encoding of triangle mesh connectivity.
Starting from a boundary edge we grow a zig-zag strip which divides the mesh into two submeshes which are encoded separately in a recursive process.
Hence, the compression ratios, both in the form of theoretical upper bounds and practical results are similar to the Edgebreaker’s, while the simplicity and flexibility of the algorithm makes it particularly suitable for applications where the connectivity encoding is only a small part of the problem at hand.
csdl.computer.org /comp/proceedings/pg/2002/1784/00/17840294abs.htm   (287 words)

  
 GateWorld - Stargate SG-1 Season Four: 'Divide and Conquer'
The admission in D&C ("Divide and Conquer") seems to have effected certain fans so deeply that it has tainted their viewing of subsequent episodes."
In fact, many argue that we introduced it in 'Divide and Conquer' when, in reality, it was there for a long time before that episode.
In spite of how many may feel, it did not begin with 'Divide and Conquer.' It was subtle, but there much much earlier.
www.gateworld.net /sg1/s4/405.shtml   (2801 words)

  
 Divide & Conquer : Separation of the Masses in Guyana
Divide and Conquer : Separation of the Masses in Guyana
This policy of divide and conquer" has affected, or has been affected by three main areas: ‘Race’.
The challenge of the Guyanese people of today is to take the advances that came about slowly in the area of culture and use them to form a link between the different factions in other areas such as Economics, Education, and Politics.
www.saxakali.com /caribbean/psingh.htm   (1905 words)

  
 The Society for Growing Australian Plants
Once the clump is dug up (or tipped out of its pot), it's divided into segments that comprise a piece of the rhizome, some leaf shoots and some roots.
After a few weeks the roots should be well established in the mix and the new plant can be severed from its parent.
The best time for dividing plants is variable and depends on the climate.
farrer.csu.edu.au /ASGAP/division.html   (1016 words)

  
 Divide and Conquer
More important, the company's makeover entailed a change in organizational philosophy -- an understanding of which activities and, in particular, which areas of decision making could be divided and decentralized, and which needed to remain centralized.
An excellent discussion of which powers belong where is presented in "The Federalist Papers," a group of newspaper articles written -- under pseudonyms -- in 1787 and 1788 by several of America's founders.
My years at VeriFone have taught me that dividing work is the best way to unify the whole.
www.inc.com /magazine/19960615/1958.html   (1290 words)

  
 PHYS345 Quote of the Day   (Site not responding. Last check: 2007-10-21)
I have looked high and low for attribution to the expression "Divide and conquer" or the original context in which it was issued (probably the military).
Divide a nation into parties, or set your enemies at loggerheads, and you can have your own way.
"Divide et impera" was the motto of Philip of Macedon and of Louis XI of France, in dealing with his nobles.
www.physics.udel.edu /~watson/phys345/quote/11.html   (310 words)

  
 Divide-and-conquer
The political proverb divide ut imperes is now a fundamental strategy in computer science; it appears in the multiplication of polynomials as well as in sorting algorithms or in the search for convex hulls.
In each case a natural concept of size leads us to consider the cost of the employed algorithm; thus divide-and-conquer sequences appears.
In the manageable cases, the application of Perron's formula to the Dirichlet series associated with the sequence makes it possible,, to emphasize subtle oscillations in logarithmic scale.
algo.inria.fr /dumas/DC/index_am.html   (291 words)

  
 Divide-and-Conquer Algorithms
Divides large instances to smaller ones, and (recursively) applies the algorithm on the smaller instances.
Combines the solutions for the subinstances, to produce a solution for the original instance.
A divide-and-conquer approach can recursively divide the board into four, and place a L-grouped set of 3 tiles in the center at the parts that have no extra tile.
www.cse.ohio-state.edu /~gurari/course/cis680/cis680Ch18.html   (639 words)

  
 Citations: Multidimensional divide-and-conquer - Bentley (ResearchIndex)   (Site not responding. Last check: 2007-10-21)
Note that this is a simplification of the calculation given in [6] The rank of (0; 8) in Figure 2 is two, hence the stack distance of x 8 is three.
Thus the half half dividing rule can be replaced by other dividing rules without changing the (optimum) worst case complexity.
The top down description of the divide and conquer algorithm suggests another algorithm, bucket select, for finding selected order statistics in a given sequence; see Mahmoud et al.
citeseer.ist.psu.edu /context/35998/0   (4499 words)

  
 Divide and Conquer algorithm
Divide the points into two equal sized sets L and R such that all points of L are to the left of the most leftmost points in R. Recursively find the convex hull of L (shown in light blue) and R (shown in purple).
The upper common tangent can be found in linear time by scanning around the left hull in a clockwise direction and around the right hull in an anti-clockwise direction.
The edges belonging to one of thse pieces must be deleted (shown in yellow).
www.cse.unsw.edu.au /~lambert/java/3d/divideandconquer.html   (591 words)

  
 Red Bull Divide and Conquer on MountainZone.com   (Site not responding. Last check: 2007-10-21)
Sixty-eight elite athletes trekked through snow, glided over mountains, paddled raging rapids, and conquered merciless cliffs of Colorado's treacherous San Juan Mountains, but in the end it was Team Nike ACG / Balance Bar that reigned supreme at Red Bull Divide & Conquer.
The Red Bull Divide & Conquer course was set within the dramatic San Juan Mountain range along the Continental Divide-a rugged traverse of land ranging from 7,000 to 13,000 feet.
Fashioned after the revered Red Bull Dolomitenmann race that has been hosted in Austria for 16 years, Red Bull Divide & Conquer featured four-person mountain sports relay teams who divided efforts by specialty to conquer expert-only trail running, paragliding, kayaking, and mountain biking courses in a grueling race to the finish.
adventure.mountainzone.com /2004/red_bull_divide   (542 words)

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