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  • ..., Oliver Kullmann and [[Victor W. Marek]] in May 2016 through a [[computer-assisted proof]].<ref name="nature">{{Cite journal|last=Lamb|first=Evelyn|date=26 Ma ...|arxiv=1605.00723|doi=10.1007/978-3-319-40970-2_15|series=Lecture Notes in Computer Science|volume=9710|pages=228–245|title=Theory and Applications of Satisfia ...
    4 KB (584 words) - 11:52, 6 February 2025
  • ...onjectures of Feigenbaum. The proof was [[Computer-assisted proof|computer assisted]]. The hyperbolicity of the fixed point is essential to explain the Feigenb ...ithout the hyperbolicity. Lyubich published in 1999 the first not computer assisted proof which also establishes hyperbolicity. Work of Sullivan later showed t ...
    8 KB (1,086 words) - 07:43, 11 January 2024
  • ...be independently verified by human mathematicians without further use of a computer.<ref>{{cite magazine|url=https://www.newscientist.com/article/dn25068-wikip ...r-cracks-erds-puzzle--but-no-human-brain-can-check-the-answer-9137097.html Computer cracks Erdős puzzle – but no human brain can check the answer]—''[[The Inde ...
    6 KB (794 words) - 21:29, 23 February 2025
  • ...have vertices of low [[degree (graph theory)|degree]], a key component in proofs of the [[four color theorem]]. It even makes connections to [[combinatorial ...ians it discusses, many diagrams and visual reasoning in place of rigorous proofs, and only a few simple equations.{{r|bradley|bultheel|ciesielski}} With no ...
    8 KB (1,128 words) - 09:02, 5 December 2024
  • ...spaces of dimension at most seven and false in all higher dimensions. The proofs of these results use a reformulation of the problem in terms of the [[cliqu ...of the conjecture in seven dimensions. Finally, a 200-gigabyte [[computer-assisted proof]] in 2019 used Keller graphs to establish that the conjecture holds t ...
    25 KB (3,564 words) - 16:10, 16 January 2025
  • In [[computational geometry]] and [[computer science]], the '''minimum-weight triangulation''' problem is the problem of ...adget (computer science)|gadgets]], and involves [[Computer-assisted proof|computer assistance]] to verify the correct behavior of these gadgets. ...
    29 KB (3,680 words) - 13:57, 15 January 2024
  • ...nce intervals for ratios of expectations. ACM Transactions on Modeling and Computer Simulation - TOMACS 9 (4) 326-348 {{doi|10.1145/352222.352224}}</ref> ...method<ref name=Sarnal1992>Särndal, C-E, B Swensson J Wretman (1992) Model assisted survey sampling. Springer, §7.3.1 (iii)</ref> but Lahiri's technique is bia ...
    22 KB (3,526 words) - 15:48, 14 June 2024
  • ...journal|arxiv=0910.5784|last1= Scott|first1= A. J.|title= SIC-POVMs: A new computer study|journal= Journal of Mathematical Physics|volume= 51|issue= 4|pages= 0 [[Category:Computer-assisted proofs]] ...
    22 KB (3,264 words) - 20:36, 16 February 2025
  • ...and 2008, respectively. The first proof for <math>n=5</math> was computer-assisted, but all cases have since been proved with elementary methods.{{sfnm|1a1=Cu ...
    21 KB (3,204 words) - 19:56, 19 December 2024
  • [[Category:Computer-assisted proofs]] ...
    27 KB (3,916 words) - 03:42, 18 February 2025
  • ...frequently used before the common use of [[electronic calculator]]s and [[computer]]s. Despite having a [[denominator]] of only 70, it differs from the correc ...{{cite journal |last=Lanford III |first=Oscar |year=1982 |title=A computer-assisted proof of the Feigenbaum conjectures |journal=Bull. Amer. Math. Soc. |volume ...
    40 KB (5,252 words) - 01:56, 2 January 2025
  • ...n, with the help of the mathematics teacher [[Dikran Tahta]], they built a computer from clock parts, an old telephone switchboard and other recycled component ...oming more intuitive and speculative rather than insisting on mathematical proofs. "I would rather be right than rigorous", he told Kip Thorne.{{sfn|Ferguson ...
    188 KB (24,653 words) - 09:11, 25 February 2025
  • * [[Computer-aided engineering]] ...tical rigour]], [[projective geometry]], and rigorous [[Mathematical proof|proofs]] in [[Calculus|differential and integral calculus]].{{R|"Mehra 2001"}} Dir ...
    187 KB (24,671 words) - 19:27, 23 February 2025