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Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics).
Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, and combinatorics also has many applications in optimization, computer science, ergodic theory and statistical physics. Many combinatorial questions have historically been considered in isolation, giving an ad hoc solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is graph theory, which also has numerous natural connections to other areas. Combinatorics is used frequently in computer science to obtain formulas and estimates in the analysis of algorithms.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Combinatorics
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
3-2-1 Contact is an American science educational television show that aired on PBS from 1980 to 1988, and an adjoining children's magazine. The show, a production of the Children's Television Workshop, teaches scientific principles and their applications. Dr. Edward G. Atkins, who was responsible for much of the scientific content of the show, felt that the TV program wouldn't replace a classroom but would open the viewers to ask questions about the scientific purpose of things.
3-2-1 Contact was the brainchild of Samuel Y. Gibbon, Jr., who had been the executive producer of The Electric Company for CTW from 1971 to 1977. (Gibbon actually left CTW before Contact's production began, though he was still credited as "Senior Consultant.")
The first season of 65 programs began airing January 14, 1980 on select PBS member stations; it featured a cast of three college students who discussed science in an on-campus room known as the Workshop. The first season came to an end on April 11, 1980, but funds for more episodes were not sufficient until 1982.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/3-2-1_Contact
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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13:15
Basic Combinatorics- Part 1
Introduction to combinations and permutations....
published: 26 Apr 2013
author: Sarah Gage-Hunt
Basic Combinatorics- Part 1
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Introduction to combinations and permutations.- published: 26 Apr 2013
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published: 10 Aug 2011
author: khanacademy
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Learn more: http://www.khanacademy.org/video?v=8TIben0bJpU A different way to think about the probability of getting 2 heads in 4 flips.- published: 10 Aug 2011
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68:24
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published: 30 Aug 2013
author: Federico Ardila
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1:38
Introduction to Combinatorics : Principles of Math
Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http:/...
published: 16 Nov 2012
author: eHow
Introduction to Combinatorics : Principles of Math
Introduction to Combinatorics : Principles of Math
Subscribe Now: http://www.youtube.com/subscription_center?add_user=Ehow Watch More: http://www.youtube.com/Ehow Combinatorics is a very important course in t...- published: 16 Nov 2012
- views: 4133
- author: eHow
20:31
How To Do Combinatorics In Poker
http://nitreg.com How do you figure out combinatorics in poker? Watch this video and find ...
published: 12 Nov 2012
author: nitregpoker
How To Do Combinatorics In Poker
How To Do Combinatorics In Poker
http://nitreg.com How do you figure out combinatorics in poker? Watch this video and find out. The math is fairly easy and I show you a couple of examples to...- published: 12 Nov 2012
- views: 2835
- author: nitregpoker
23:03
Unizor - -Combinatorics - Combinations with Repetitions
In this lecture we will discuss a different type of combinations - the combinations with r...
published: 19 May 2014
author: Zor Shekhtman
Unizor - -Combinatorics - Combinations with Repetitions
Unizor - -Combinatorics - Combinations with Repetitions
In this lecture we will discuss a different type of combinations - the combinations with repetitions. Assume, again, that we have to pick K objects out of a ...- published: 19 May 2014
- views: 53
- author: Zor Shekhtman
29:16
0.4 Analytic Combinatorics 2915)
...
published: 21 Sep 2013
author: Wenlong ZHAO
0.4 Analytic Combinatorics 2915)
6:26
GMAT Online Math - Permutation & Combinatorics 1 | Manhattan Review GMAT Prep
http://www.manhattanreview.com/gmat-online/. This video covers the permutation and combina...
published: 28 Dec 2009
author: ManhattanReview
GMAT Online Math - Permutation & Combinatorics 1 | Manhattan Review GMAT Prep
GMAT Online Math - Permutation & Combinatorics 1 | Manhattan Review GMAT Prep
http://www.manhattanreview.com/gmat-online/. This video covers the permutation and combinatorics problems in the GMAT Math Problem Solving section. Manhattan...- published: 28 Dec 2009
- views: 7009
- author: ManhattanReview
21:51
Unizor - Combinatorics - Simple Permutations Problems 1
Don't try to recall any formula. Instead, use the logic and count available choices. Probl...
published: 20 May 2014
author: Zor Shekhtman
Unizor - Combinatorics - Simple Permutations Problems 1
Unizor - Combinatorics - Simple Permutations Problems 1
Don't try to recall any formula. Instead, use the logic and count available choices. Problem 1 Using the logic of permutations, determine how many 3-digit nu...- published: 20 May 2014
- views: 45
- author: Zor Shekhtman
8:28
Combinatorics Problems
...
published: 16 Jan 2013
author: Catherine Boersma
Combinatorics Problems
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2:55
What IS Counting? Brief Background to Combinatorics
Roughly defined, combinatorics is the art of counting. But what exactly is counting? In th...
published: 30 Apr 2014
author: VTXLenny
What IS Counting? Brief Background to Combinatorics
What IS Counting? Brief Background to Combinatorics
Roughly defined, combinatorics is the art of counting. But what exactly is counting? In this video, I talk about the reasons for counting, its utilities, and...- published: 30 Apr 2014
- views: 54
- author: VTXLenny
21:22
Unizor - Combinatorics - Advanced Problems 1.1.
Problem 1 What is the number of partial permutations of N given objects by K objects under...
published: 24 May 2014
author: Zor Shekhtman
Unizor - Combinatorics - Advanced Problems 1.1.
Unizor - Combinatorics - Advanced Problems 1.1.
Problem 1 What is the number of partial permutations of N given objects by K objects under a restriction that each such partial permutation must contain X pa...- published: 24 May 2014
- views: 52
- author: Zor Shekhtman
17:51
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discr...
published: 02 Sep 2014
author: Audiopedia
Combinatorics
Combinatorics
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerat...- published: 02 Sep 2014
- author: Audiopedia
photo: AP / Photo
16 Feb 2015
15 February 2015, 23.19. Video Shows IS Militants Beheading Christians. Tweet. A video has been released which purports to show 21 Egyptian Coptic Christians being beheaded by Islamic State militants in Libya. The footage shows handcuffed hostages dressed in orange jumpsuits being murdered by black-clad terrorists. A caption on the five-minute video says. "The people of the cross, followers of the hostile Egyptian church" ... popular. 24 Hours....
photo: public domain
17 Feb 2015
Article by WN.com Correspondent Dallas Darling. This President's Day it is highly unlikely that Barack Obama will be remembered alongside George Washington and Abraham Lincoln. But sometime in the future, he might be eulogized with the likes of Franklin Roosevelt. Not in the same way, however, as a great wartime leader and commander-in-chief, which had actually defined George Washington's and Abraham Lincoln's presidency too ... presidency....
photo: AP / Militant website
16 Feb 2015
Associated Press 7.11 p.m. EST February 15, 2015. CONNECTTWEETLINKEDINCOMMENTEMAILMORE. Cairo — A video purporting to show the mass beheading of Coptic Christian hostages has been released by militants in Libya claiming loyalty to the Islamic State group ... One of the militants in the video, speaking English, makes reference to that possibility, saying the group now plans to “conquer Rome.” ... “All crusaders ... “The whole village is in mourning....
photo: AP / Petros Giannakouris
17 Feb 2015
Eurozone ministers have handed Greece an ultimatum to request an extension to its bailout programme after. crunch talks collapsed, deepening a bitter stand-off that risks seeing Athens bid farewell to the euro. Eurogroup head Jeroen Dijsselbloem on Monday said Greece had the rest of the week to request an extension to the programme, which expires at the end of the month ... Source ... ....
photo: WN / Geeta
16 Feb 2015
This week, NASA published its most robust study looking at drought prediction-and the news isn't good. Within the next century, the American southwest could experience a landscape-altering megadrought due to rising carbon emissions and global warming. Unlike other scenarios when "mega" is a prefix indicating something awesome, like a Mega Bowl or Megatron, this is definitely not the case here ... ....
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South China Morning Post
12 Feb 2015
Each year, recruiters from the National Security Agency (NSA), said to be the largest employer of mathematicians in the United States, visit a few dozen universities across the country in search of talent. It used to be an easy sell ... Vogan says ... "It is expected that you will acknowledge the funding in your papers," says Egon Schulte, of Boston's Northeastern University, whose research in combinatorics is supported by an NSA grant....
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Two Johns Hopkins Engineering Faculty Members Receive NSF CAREER Awards (The Johns Hopkins University)
noodls04 Feb 2015
(Source. The Johns Hopkins University) February 4, 2015. MEDIA CONTACT.. Phil Sneiderman. Office. 443-997-9907; Cell. 410-299-7462. prs@jhu.edu / On Twitter. @filroy ... The two faculty members will each receive $500,000 in research funding, allocated over a five-year period. Ed Schlesinger, the engineering school's Benjamin T ... He received his PhD through the Algorithms, Combinatorics and Optimization Program at Carnegie Mellon University ... (noodl....
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Medium
03 Feb 2015
I ask ... There are many learning paths you could take.Category theory for programming language designAbstract algebra and number theory for cryptographyDifferential equations, optimal control, or finite element methods for many applied computational problems in science and engineeringMonte Carlo simulation for financial modelingDifferential geometry for general relativityDiscrete mathematics and combinatorics for analysis of algorithms....
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The Times of India
24 Jan 2015
BENGALURU ... "And it's not just the number system. There are fundamental contributions from India to the foundations of algebra, trigonometry and combinatorics," says Bhargava, who is convinced that India can bounce back, both in economic development and math ... "The same thing is happening in China ... Similarly, poetry and music inspired the creation of combinatorics, the art or science of combining numbers or other elements ... ....
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The Times of India
21 Jan 2015
Bengaluru. Prime numbers, integers, theorems, equations, division and multiplication... the fear of mathematics isn't alien. "But it's all in the eye of the beholder," said the tabla-playing card trickster. Manjul Bhargava, 41, is as much a man of word and song as he's of numbers, math being his trade. Poetry, he said, has given rise to some of mathematics' interesting discoveries like 'combinatorics' ... He added ... ....
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Ohio and New Mexico Students Capture $100,000 Scholarship Prize in 2014 Siemens Competition in Math, ...
Stockhouse09 Dec 2014
Peter Tian of Hilliard, Ohio, Wins $100,000 Individual Prize for Research on Multidimensional Matrices; Eli Echt-Wilson and Albert Zuo of Albuquerque, N.M. Win $100,000 Team Prize for Research on Computational Models for Tree Growth. Washington, D.C., Dec ... Within mathematics, his project has a direct application to hypergraphs and it also has potential applications to other areas of combinatorics and computational geometry ... Individuals....
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Ohio and New Mexico Students Capture $100,000 Scholarship Prize in 2014 Siemens Competition in Math, Science & Technology (Siemens Corporation)
noodls09 Dec 2014
(Source. Siemens Corporation). Peter Tian of Hilliard, Ohio, Wins $100,000 Individual Prize for Research on Multidimensional Matrices;. Eli Echt-Wilson and Albert Zuo of Albuquerque, N.M. Win $100,000 Team Prize for Research on Computational Models for Tree Growth ... Within mathematics, his project has a direct application to hypergraphs and it also has potential applications to other areas of combinatorics and computational geometry....
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noodls
08 Dec 2014
(Source. University of Western Australia). The University of Western Australia's internationally acclaimed mathematician, Professor Cheryl Praeger, today became the first woman to be awarded the Australian Mathematical Society's George Szekeres Medal ... She boasts an exceptional research career in the mathematical disciplines of group theory and combinatorics, with more than 350 published journal articles and books ... distributed by....
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>YourMathGuru Launches The MathGuru Biweekly Olympiad - Offers Cash Prizes For Solutions To Math Problems
Seattle Post04 Dec 2014
The new MathGuru Biweekly Olympiad (MGBO) which, along with The Problem of The Day, offers cash prizes for solutions to Math Problems ... Miami, Florida (PRWEB) December 04, 2014 ... Forum categories include Algebra, Geometry, Trigonometry, Analytic Geometry, Calculus, Complex Variables, Probability, and Combinatorics, as well as Basic Physics and Basic Chemistry ... Si Usted Habla Español Visita TuGuruDeMate.com....
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noodls
11 Nov 2014
The theory of combinatorial limits is a recently emerged and rapidly evolving area of mathematics, which led to opening new links between analysis, combinatorics, computer science, group theory and probability theory. The analytic view of large discrete structures resulted in a substantial progress on many notoriously difficult extremal combinatorics questions....
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Yahoo Daily News
10 Nov 2014
MOUNTAIN VIEW CALIF. (Reuters) - Here are the Breakthrough Prize winners for 2014.. LIFE SCIENCES. - C ... - Jennifer A ... MATHEMATICS ... - Terence Tao, the University of California, Los Angeles, for numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory ... FUNDAMENTAL PHYSICS (one prize, shared) ... Supernova Cosmology Project Team. Greg Aldering, Brian J. Boyle, Patricia G....
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Yahoo Daily News
10 Nov 2014
MOUNTAIN VIEW CALIF. (Reuters) - Here are the Breakthrough Prize winners for 2014.. LIFE SCIENCES. - C ... - Jennifer A ... MATHEMATICS ... - Terence Tao, the University of California, Los Angeles, for numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory ... FUNDAMENTAL PHYSICS (one prize, shared) ... Supernova Cosmology Project Team. Greg Aldering, Brian J. Boyle, Patricia G....
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The Guardian
10 Nov 2014
No one becomes a scientist to make themselves rich, but for a growing minority at the top of their game, big money has found them regardless ... The winners of this year’s prizes form selection committees that will go on to decide next year’s recipients ... Terence Tao, University of California, Los Angeles, for numerous breakthrough contributions to harmonic analysis, combinatorics, partial differential equations and analytic number theory....
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