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== 노트 ==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q76592 Q76592]
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===말뭉치===
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# Combinatorics concerns the study of discrete objects.<ref name="ref_e8aaa9aa">[https://mathematics.stanford.edu/research/combinatorics Combinatorics]</ref>
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# While it is arguably as old as counting, combinatorics has grown remarkably in the past half century alongside the rise of computers.<ref name="ref_e8aaa9aa" />
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# Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.<ref name="ref_439f6a24">[https://en.wikipedia.org/wiki/Combinatorics Combinatorics]</ref>
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# One way to define combinatorics is, perhaps, to describe its subdivisions with their problems and techniques.<ref name="ref_439f6a24" />
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# Combinatorics is well known for the breadth of the problems it tackles.<ref name="ref_439f6a24" />
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# In the Middle Ages, combinatorics continued to be studied, largely outside of the European civilization.<ref name="ref_439f6a24" />
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# Combinatorics can help us count the number of orders in which something can happen.<ref name="ref_aa29ca52">[https://mathigon.org/world/Combinatorics World of Mathematics – Mathigon]</ref>
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# You can use combinatorics to calculate the “total number of possible outcomes”.<ref name="ref_aa29ca52" />
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# Combinatorics is often concerned with how things are arranged.<ref name="ref_3aae35c9">[https://brilliant.org/wiki/combinatorics/ Brilliant Math & Science Wiki]</ref>
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# Many problems in combinatorics can be solved by applying these simple rules.<ref name="ref_3aae35c9" />
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# Mathematicians sometimes use the term "combinatorics" to refer to a larger subset of discrete mathematics that includes graph theory.<ref name="ref_ecbd2e6f">[https://mathworld.wolfram.com/Combinatorics.html Combinatorics -- from Wolfram MathWorld]</ref>
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# The Season 1 episode "Noisy Edge" (2005) of the television crime drama NUMB3RS mentions combinatorics.<ref name="ref_ecbd2e6f" />
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# This book is also ideal for readers who wish to better understand the various applications of elementary combinatorics.<ref name="ref_68507610">[https://www.wiley.com/en-us/Combinatorics%3A+An+Introduction-p-9781118407486 Combinatorics: An Introduction]</ref>
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# and it's called combinatorics.<ref name="ref_b5b66832">[https://www.khanacademy.org/computing/pixar/crowds/crowds-1/v/intro-crowds Introduction to combinatorics (video)]</ref>
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# Combinatorics is actually what your lesson today is gonna be about.<ref name="ref_b5b66832" />
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# The modern era has uncovered for combinatorics a wide range of fascinating new problems.<ref name="ref_9e308ed1">[https://www.math.ucla.edu/~pak/hidden/papers/Quotes/Combinatorics-quotes.htm What is Combinatorics? (Igor Pak Home Page)]</ref>
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# Combinatorial theory is the name now given to a subject formerly called "combinatorial analysis" or "combinatorics", though these terms are still used by many people.<ref name="ref_9e308ed1" />
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# Combinatorics counts, enumerates, examines, and investigates the existence of configurations with certain specified properties.<ref name="ref_9e308ed1" />
 +
# With combinatorics, one looks for their intrinsic properties, and studies transformations of one configuration into another, as well as “subconfigurations” of a given configuration.<ref name="ref_9e308ed1" />
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# Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.<ref name="ref_89fa10ff">[http://www.combinatorics.kr/ Combinatorics Korea]</ref>
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# We will give an account of Combinatorics Korea, if necessary.<ref name="ref_89fa10ff" />
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# Combinatorics is all about number of ways of choosing some objects out of a collection and/or number of ways of their arrangement.<ref name="ref_34ca4947">[https://www.hackerearth.com/practice/math/combinatorics/basics-of-combinatorics/tutorial/ Basics of Combinatorics Tutorials & Notes]</ref>
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# He was a Founding Fellow of The Institute of Combinatorics and its Applications and serves on its Council.<ref name="ref_57134e95">[https://www.routledge.com/50-years-of-Combinatorics-Graph-Theory-and-Computing/Chung-Graham-Hoffman-Mullin-Hogben-West/p/book/9780367235031 50 years of Combinatorics, Graph Theory, and Computing]</ref>
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# He has directed thirty-nine of the Southeastern International Conferences on Combinatorics, Graph Theory and Computing.<ref name="ref_57134e95" />
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# He is the first recipient of the Stanton Medal, which is awarded by the Institute for Combinatorics and its Applications (ICA).<ref name="ref_57134e95" />
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# The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics , specializing in theories arising from combinatorial problems.<ref name="ref_02867025">[https://www.journals.elsevier.com/european-journal-of-combinatorics European Journal of Combinatorics]</ref>
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# The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems.<ref name="ref_02867025" />
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# Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects.<ref name="ref_a6bb31c0">[https://en.wikiversity.org/wiki/Combinatorics Combinatorics]</ref>
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# Combinatorics is as much about problem solving as theory building, though it has developed powerful theoretical methods, especially since the later twentieth century.<ref name="ref_a6bb31c0" />
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# Lecturer Eoin's research interests encompass a wide array, including Extremal combinatorics, Graph Theory, Ramsey theory, Probabilistic methods in combinatorics and High-dimensional phenomena.<ref name="ref_bf6a1dd0">[https://www.birmingham.ac.uk/research/activity/mathematics/combinatorics-probability-algorithms/combinatorics.aspx Combinatorics, Probability and Algorithms, School of Mathematics, Pure Mathematics]</ref>
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# Dr Matthew Jenssen Lecturer Matthew’s research interests lie at the interface of combinatorics, statistical physics and theoretical computer science.<ref name="ref_bf6a1dd0" />
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# The myriad ways of counting the number of elements in a set is one of the main tasks in combinatorics, and I’ll try to describe some basic aspects of it in this tutorial.<ref name="ref_6cb57d75">[https://www.topcoder.com/community/competitive-programming/tutorials/basics-of-combinatorics/ Competitive Programming Tutorials]</ref>
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# Another interesting method in combinatorics — and one of my favorites, because of its elegance — is called method of paths (or trajectories).<ref name="ref_6cb57d75" />
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# Recurrence relations probably deserves their own separate article, but I should mention that they play a great role in combinatorics.<ref name="ref_6cb57d75" />
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# As this article was written for novices in combinatorics, it focused mainly on the basic aspects and methods of counting.<ref name="ref_6cb57d75" />
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# The aim of this workshop series is to provide an opportunity for researchers in combinatorics and related topics to commnicate and share their ideas about interesting problems.<ref name="ref_bee51326">[http://home.kias.re.kr/MKG/h/Combinatorics/ KIAS Workshop on Combinatorics]</ref>
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# Combinatorics has been rather neglected by historians of mathematics.<ref name="ref_7b0550f4">[https://www.sciencedirect.com/science/article/pii/0315086079900740 The roots of combinatorics]</ref>
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# On May 19, Ashwin Sah posted the best result ever on one of the most important questions in combinatorics.<ref name="ref_bb39446c">[https://www.merriam-webster.com/dictionary/combinatorics Definition of Combinatorics by Merriam-Webster]</ref>
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# This course is based on a highly regarded on-campus Tsinghua class called Combinatorics, and is ideal for students who are interested in mathematics or computer science.<ref name="ref_63cd797a">[https://www.edx.org/course/combinatorial-mathematics-2 Combinatorial Mathematics | 组合数学]</ref>
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# Mathematicians uses the term “Combinatorics” as it refers to the larger subset of Discrete Mathematics.<ref name="ref_eb18883e">[https://byjus.com/maths/combinatorics/ Combinatorics (Definition, Applications & Examples)]</ref>
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# Combinatorial techniques are applicable to many areas of mathematics, and a knowledge of combinatorics is necessary to build a solid command of statistics.<ref name="ref_f2c28838">[https://courses.lumenlearning.com/boundless-algebra/chapter/combinatorics/ Boundless Algebra]</ref>
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# Aspects of combinatorics include: counting the structures of a given kind and size, deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria.<ref name="ref_f2c28838" />
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===소스===
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<references />

2020년 12월 21일 (월) 07:33 기준 최신판

넘겨줄 대상:

노트

위키데이터

말뭉치

  1. Combinatorics concerns the study of discrete objects.[1]
  2. While it is arguably as old as counting, combinatorics has grown remarkably in the past half century alongside the rise of computers.[1]
  3. Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.[2]
  4. One way to define combinatorics is, perhaps, to describe its subdivisions with their problems and techniques.[2]
  5. Combinatorics is well known for the breadth of the problems it tackles.[2]
  6. In the Middle Ages, combinatorics continued to be studied, largely outside of the European civilization.[2]
  7. Combinatorics can help us count the number of orders in which something can happen.[3]
  8. You can use combinatorics to calculate the “total number of possible outcomes”.[3]
  9. Combinatorics is often concerned with how things are arranged.[4]
  10. Many problems in combinatorics can be solved by applying these simple rules.[4]
  11. Mathematicians sometimes use the term "combinatorics" to refer to a larger subset of discrete mathematics that includes graph theory.[5]
  12. The Season 1 episode "Noisy Edge" (2005) of the television crime drama NUMB3RS mentions combinatorics.[5]
  13. This book is also ideal for readers who wish to better understand the various applications of elementary combinatorics.[6]
  14. and it's called combinatorics.[7]
  15. Combinatorics is actually what your lesson today is gonna be about.[7]
  16. The modern era has uncovered for combinatorics a wide range of fascinating new problems.[8]
  17. Combinatorial theory is the name now given to a subject formerly called "combinatorial analysis" or "combinatorics", though these terms are still used by many people.[8]
  18. Combinatorics counts, enumerates, examines, and investigates the existence of configurations with certain specified properties.[8]
  19. With combinatorics, one looks for their intrinsic properties, and studies transformations of one configuration into another, as well as “subconfigurations” of a given configuration.[8]
  20. Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.[9]
  21. We will give an account of Combinatorics Korea, if necessary.[9]
  22. Combinatorics is all about number of ways of choosing some objects out of a collection and/or number of ways of their arrangement.[10]
  23. He was a Founding Fellow of The Institute of Combinatorics and its Applications and serves on its Council.[11]
  24. He has directed thirty-nine of the Southeastern International Conferences on Combinatorics, Graph Theory and Computing.[11]
  25. He is the first recipient of the Stanton Medal, which is awarded by the Institute for Combinatorics and its Applications (ICA).[11]
  26. The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics , specializing in theories arising from combinatorial problems.[12]
  27. The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems.[12]
  28. Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects.[13]
  29. Combinatorics is as much about problem solving as theory building, though it has developed powerful theoretical methods, especially since the later twentieth century.[13]
  30. Lecturer Eoin's research interests encompass a wide array, including Extremal combinatorics, Graph Theory, Ramsey theory, Probabilistic methods in combinatorics and High-dimensional phenomena.[14]
  31. Dr Matthew Jenssen Lecturer Matthew’s research interests lie at the interface of combinatorics, statistical physics and theoretical computer science.[14]
  32. The myriad ways of counting the number of elements in a set is one of the main tasks in combinatorics, and I’ll try to describe some basic aspects of it in this tutorial.[15]
  33. Another interesting method in combinatorics — and one of my favorites, because of its elegance — is called method of paths (or trajectories).[15]
  34. Recurrence relations probably deserves their own separate article, but I should mention that they play a great role in combinatorics.[15]
  35. As this article was written for novices in combinatorics, it focused mainly on the basic aspects and methods of counting.[15]
  36. The aim of this workshop series is to provide an opportunity for researchers in combinatorics and related topics to commnicate and share their ideas about interesting problems.[16]
  37. Combinatorics has been rather neglected by historians of mathematics.[17]
  38. On May 19, Ashwin Sah posted the best result ever on one of the most important questions in combinatorics.[18]
  39. This course is based on a highly regarded on-campus Tsinghua class called Combinatorics, and is ideal for students who are interested in mathematics or computer science.[19]
  40. Mathematicians uses the term “Combinatorics” as it refers to the larger subset of Discrete Mathematics.[20]
  41. Combinatorial techniques are applicable to many areas of mathematics, and a knowledge of combinatorics is necessary to build a solid command of statistics.[21]
  42. Aspects of combinatorics include: counting the structures of a given kind and size, deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria.[21]

소스

  1. ↑ 1.0 1.1 Combinatorics
  2. ↑ 2.0 2.1 2.2 2.3 Combinatorics
  3. ↑ 3.0 3.1 World of Mathematics – Mathigon
  4. ↑ 4.0 4.1 Brilliant Math & Science Wiki
  5. ↑ 5.0 5.1 Combinatorics -- from Wolfram MathWorld
  6. ↑ Combinatorics: An Introduction
  7. ↑ 7.0 7.1 Introduction to combinatorics (video)
  8. ↑ 8.0 8.1 8.2 8.3 What is Combinatorics? (Igor Pak Home Page)
  9. ↑ 9.0 9.1 Combinatorics Korea
  10. ↑ Basics of Combinatorics Tutorials & Notes
  11. ↑ 11.0 11.1 11.2 50 years of Combinatorics, Graph Theory, and Computing
  12. ↑ 12.0 12.1 European Journal of Combinatorics
  13. ↑ 13.0 13.1 Combinatorics
  14. ↑ 14.0 14.1 Combinatorics, Probability and Algorithms, School of Mathematics, Pure Mathematics
  15. ↑ 15.0 15.1 15.2 15.3 Competitive Programming Tutorials
  16. ↑ KIAS Workshop on Combinatorics
  17. ↑ The roots of combinatorics
  18. ↑ Definition of Combinatorics by Merriam-Webster
  19. ↑ Combinatorial Mathematics | 组合数学
  20. ↑ Combinatorics (Definition, Applications & Examples)
  21. ↑ 21.0 21.1 Boundless Algebra
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