"Experimental mathematics"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
(→‎노트: 새 문단)
51번째 줄: 51번째 줄:
 
** D.H. Bailey and J.M Borwein, Notices Amer. Math. Soc.,. 52 No. 5 (2005), 502-514
 
** D.H. Bailey and J.M Borwein, Notices Amer. Math. Soc.,. 52 No. 5 (2005), 502-514
 
[[분류:계산 리소스]]
 
[[분류:계산 리소스]]
 +
 +
== 노트 ==
 +
 +
===위키데이터===
 +
* ID :  [https://www.wikidata.org/wiki/Q923592 Q923592]
 +
===말뭉치===
 +
# The journal publishes papers in experimental mathematics, broadly construed.<ref name="ref_f35a5214">[https://en.wikipedia.org/wiki/Experimental_Mathematics_(journal) Experimental Mathematics (journal)]</ref>
 +
# Despite the initial controversy, Experimental Mathematics quickly established a solid reputation and is now a highly respected mathematical publication.<ref name="ref_f35a5214" />
 +
# Mathematicians have always practised experimental mathematics.<ref name="ref_2e9a6d6f">[https://en.wikipedia.org/wiki/Experimental_mathematics Experimental mathematics]</ref>
 +
# Experimental mathematics makes use of numerical methods to calculate approximate values for integrals and infinite series.<ref name="ref_2e9a6d6f" />
 +
# Experimental Mathematics publishes formal results and conjectures inspired by experimentation, algorithms and software for mathematical exploration, and related surveys.<ref name="ref_bcf33d2a">[https://projecteuclid.org/em Publication Information]</ref>
 +
# Starting with Volume 22 (2013), Experimental Mathematics is being printed and distributed by Taylor & Francis.<ref name="ref_bcf33d2a" />
 +
# The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor.<ref name="ref_ff286790">[https://link.springer.com/article/10.1007/s10670-008-9109-y Experimental Mathematics]</ref>
 +
# This paper surveys different attempts to characterize experimental mathematics.<ref name="ref_ff286790" />
 +
# One suggestion is that experimental mathematics makes essential use of electronic computers.<ref name="ref_ff286790" />
 +
# A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive.<ref name="ref_ff286790" />
 +
# Many explanations are framed by relevant historical context and tales of mathematicians whose use of experimental mathematics helped them gain insights into difficult problems.<ref name="ref_b893f13d">[https://www.routledge.com/The-Computer-as-Crucible-An-Introduction-to-Experimental-Mathematics/Borwein-Devlin/p/book/9781568813431 The Computer as Crucible An Introduction to Experimental Mathematics]</ref>
 +
# . . . I thoroughly enjoyed reading this short introduction to experimental mathematics.<ref name="ref_b893f13d" />
 +
# The book covers a variety of topics and examples in order to give the reader a good sense of the current state of play in the rapidly growing new field of experimental mathematics.<ref name="ref_b893f13d" />
 +
# a lovely little book which builds a strong case for experimental mathematics.<ref name="ref_b893f13d" />
 +
# Many great mathematicians (Gauss, Ramanujan, etc.) have done experimental mathematics to find out what’s true.<ref name="ref_ea8b1876">[https://writings.stephenwolfram.com/2017/03/two-hours-of-experimental-mathematics/ Two Hours of Experimental Mathematics—Stephen Wolfram Writings]</ref>
 +
# But in general, experimental mathematics hasn’t been pursued nearly as much as it could or should have been.<ref name="ref_ea8b1876" />
 +
# But part of the skill needed to do good experimental mathematics is to look for facts that somehow can ultimately be related to larger frameworks, and ultimately to the traditions of mathematics.<ref name="ref_ea8b1876" />
 +
# More than 30 years ago I started the journal Complex Systems—and one of my long-term goals was to make it a repository for results in experimental mathematics.<ref name="ref_ea8b1876" />
 +
# Experimental Mathematics publishes original papers featuring rigorously-proved results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses.<ref name="ref_a1521d1e">[https://think.taylorandfrancis.com/special_issues/interactive-theorem/ Experimental Mathematics: Interactive Theorem Proving in Mathematics Research]</ref>
 +
# I am partially motivated by the recent polymath5 which, at this stage, have become an interesting experimental mathematics project.<ref name="ref_59312162">[https://mathoverflow.net/questions/12085/experimental-mathematics-leading-to-major-advances Experimental mathematics leading to major advances]</ref>
 +
# Register now to let Experimental Mathematics know you want to review for them.<ref name="ref_db7bd053">[https://publons.com/journal/4815/experimental-mathematics/ Experimental Mathematics]</ref>
 +
# Welcome to Experimental Mathematics, a journal devoted to experimental aspects of mathematics research.<ref name="ref_4a50a0a9">[http://emis.matem.unam.mx/journals/EM/ Experimental Mathematics]</ref>
 +
# Experimental Mathematics, refereed in the traditional manner, is led by a first-rate editorial board.<ref name="ref_4a50a0a9" />
 +
# Experimental Mathematics used to be considered an oxymoron, but the future of mathematics is in that direction.<ref name="ref_0b18b520">[https://math.rutgers.edu/academics/graduate-program/course-descriptions/1028-640-640-experimental-mathematics Experimental Mathematics]</ref>
 +
# This semester we will learn, from an experimental mathematics point of view, algorithmic enumerative and algebraic combinatorics.<ref name="ref_0b18b520" />
 +
# It has become important even in math, as an essential part of the new discipline, Experimental Mathematics.<ref name="ref_b1a79d86">[https://math.illinois.edu/research/igl/projects/fall/2019/computer-visualization-experimental-mathematics Computer visualization in experimental mathematics]</ref>
 +
===소스===
 +
<references />

2020년 12월 21일 (월) 08:18 판

개요


 

 

research tools

 

 

관련도서

 

 

사전형태의 자료

 

 

articles

노트

위키데이터

말뭉치

  1. The journal publishes papers in experimental mathematics, broadly construed.[1]
  2. Despite the initial controversy, Experimental Mathematics quickly established a solid reputation and is now a highly respected mathematical publication.[1]
  3. Mathematicians have always practised experimental mathematics.[2]
  4. Experimental mathematics makes use of numerical methods to calculate approximate values for integrals and infinite series.[2]
  5. Experimental Mathematics publishes formal results and conjectures inspired by experimentation, algorithms and software for mathematical exploration, and related surveys.[3]
  6. Starting with Volume 22 (2013), Experimental Mathematics is being printed and distributed by Taylor & Francis.[3]
  7. The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor.[4]
  8. This paper surveys different attempts to characterize experimental mathematics.[4]
  9. One suggestion is that experimental mathematics makes essential use of electronic computers.[4]
  10. A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive.[4]
  11. Many explanations are framed by relevant historical context and tales of mathematicians whose use of experimental mathematics helped them gain insights into difficult problems.[5]
  12. . . . I thoroughly enjoyed reading this short introduction to experimental mathematics.[5]
  13. The book covers a variety of topics and examples in order to give the reader a good sense of the current state of play in the rapidly growing new field of experimental mathematics.[5]
  14. a lovely little book which builds a strong case for experimental mathematics.[5]
  15. Many great mathematicians (Gauss, Ramanujan, etc.) have done experimental mathematics to find out what’s true.[6]
  16. But in general, experimental mathematics hasn’t been pursued nearly as much as it could or should have been.[6]
  17. But part of the skill needed to do good experimental mathematics is to look for facts that somehow can ultimately be related to larger frameworks, and ultimately to the traditions of mathematics.[6]
  18. More than 30 years ago I started the journal Complex Systems—and one of my long-term goals was to make it a repository for results in experimental mathematics.[6]
  19. Experimental Mathematics publishes original papers featuring rigorously-proved results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses.[7]
  20. I am partially motivated by the recent polymath5 which, at this stage, have become an interesting experimental mathematics project.[8]
  21. Register now to let Experimental Mathematics know you want to review for them.[9]
  22. Welcome to Experimental Mathematics, a journal devoted to experimental aspects of mathematics research.[10]
  23. Experimental Mathematics, refereed in the traditional manner, is led by a first-rate editorial board.[10]
  24. Experimental Mathematics used to be considered an oxymoron, but the future of mathematics is in that direction.[11]
  25. This semester we will learn, from an experimental mathematics point of view, algorithmic enumerative and algebraic combinatorics.[11]
  26. It has become important even in math, as an essential part of the new discipline, Experimental Mathematics.[12]

소스

  1. ↑ 1.0 1.1 Experimental Mathematics (journal)
  2. ↑ 2.0 2.1 Experimental mathematics
  3. ↑ 3.0 3.1 Publication Information
  4. ↑ 4.0 4.1 4.2 4.3 Experimental Mathematics
  5. ↑ 5.0 5.1 5.2 5.3 The Computer as Crucible An Introduction to Experimental Mathematics
  6. ↑ 6.0 6.1 6.2 6.3 Two Hours of Experimental Mathematics—Stephen Wolfram Writings
  7. ↑ Experimental Mathematics: Interactive Theorem Proving in Mathematics Research
  8. ↑ Experimental mathematics leading to major advances
  9. ↑ Experimental Mathematics
  10. ↑ 10.0 10.1 Experimental Mathematics
  11. ↑ 11.0 11.1 Experimental Mathematics
  12. ↑ Computer visualization in experimental mathematics
원본 주소 "https://wiki.mathnt.net/index.php?title=Experimental_mathematics&oldid=46389"