Mathematical coincidence (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mathematical coincidence" in English language version.

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8books.google.com

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mathscinet.ams.org

Arratia, Richard; Goldstein, Larry; Gordon, Louis (1990). "Poisson approximation and the Chen-Stein method". Statistical Science. 5 (4): 403–434. doi:10.1214/ss/1177012015. JSTOR 2245366. MR 1092983.

archive.org

Reprinted as Gardner, Martin (2001). "Six Sensational Discoveries". The Colossal Book of Mathematics. New York: W. W. Norton & Company. pp. 674–694. ISBN 978-0-393-02023-6.

arxiv.org

Maze, G.; Minder, L. (28 June 2005), A New Family of Almost Identities (PDF), p. 1, arXiv:math/0409014

books.google.com

Manfred Robert Schroeder (2008). Number theory in science and communication (2nd ed.). Springer. pp. 26–28. ISBN 978-3-540-85297-1.
Petr Beckmann (1971). A History of Pi. Macmillan. pp. 101, 170. ISBN 978-0-312-38185-1.
Yoshio Mikami (1913). Development of Mathematics in China and Japan. B. G. Teubner. p. 135.
Eric W. Weisstein (2003). CRC concise encyclopedia of mathematics. CRC Press. p. 2232. ISBN 978-1-58488-347-0.
Roger Herz-Fischler (2000). The Shape of the Great Pyramid. Wilfrid Laurier University Press. p. 67. ISBN 978-0-889-20324-2.
Ottmar Beucher (2008). Matlab und Simulink. Pearson Education. p. 195. ISBN 978-3-8273-7340-3.
K. Ayob (2008). Digital Filters in Hardware: A Practical Guide for Firmware Engineers. Trafford Publishing. p. 278. ISBN 978-1-4251-4246-9.
Cracking the AP Physics B & C Exam, 2004–2005 Edition. Princeton Review Publishing. 2003. p. 25. ISBN 978-0-375-76387-8.

cern.ch

rtomas.web.cern.ch

"Rogelio Tomas' web page".

contestcen.com

Rubin, Frank. "The Contest Center – Pi".

davidhbailey.com

Bailey, David H.; Borwein, Jonathan M. (December 1, 2005). "Future Prospects for Computer-Assisted Mathematics" (PDF).

doi.org

Bailey, David; Borwein, Jonathan; Kapoor, Vishal; Weisstein, Eric (9 March 2006). "Ten Problems in Experimental Mathematics" (PDF). The American Mathematical Monthly. 113 (6): 22. doi:10.1080/00029890.2006.11920330. S2CID 13560576. Archived from the original (PDF) on 18 April 2007.
Arratia, Richard; Goldstein, Larry; Gordon, Louis (1990). "Poisson approximation and the Chen-Stein method". Statistical Science. 5 (4): 403–434. doi:10.1214/ss/1177012015. JSTOR 2245366. MR 1092983.
Whittaker, Edmund (1945). "Eddington's Theory of the Constants of Nature". The Mathematical Gazette. 29 (286): 137–144. doi:10.2307/3609461. JSTOR 3609461. S2CID 125122360.

harvard.edu

math.harvard.edu

Elkies, Noam. "Why is $\pi ^{2}$ so close to 10?" (PDF).

jstor.org

Arratia, Richard; Goldstein, Larry; Gordon, Louis (1990). "Poisson approximation and the Chen-Stein method". Statistical Science. 5 (4): 403–434. doi:10.1214/ss/1177012015. JSTOR 2245366. MR 1092983.
Whittaker, Edmund (1945). "Eddington's Theory of the Constants of Nature". The Mathematical Gazette. 29 (286): 137–144. doi:10.2307/3609461. JSTOR 3609461. S2CID 125122360.

lbl.gov

crd.lbl.gov

Bailey, David; Borwein, Jonathan; Kapoor, Vishal; Weisstein, Eric (9 March 2006). "Ten Problems in Experimental Mathematics" (PDF). The American Mathematical Monthly. 113 (6): 22. doi:10.1080/00029890.2006.11920330. S2CID 13560576. Archived from the original (PDF) on 18 April 2007.

magic-squares.net

Harvey Heinz, Narcissistic Numbers.

nist.gov

physics.nist.gov

"Rydberg constant times c in Hz". Fundamental physical constants. NIST. Retrieved 25 July 2011.

numericana.com

Michon, Gérard P. "Numerical Coincidences in Man-Made Numbers". Mathematical Miracles. Retrieved 29 April 2011.

oeis.org

(sequence A014080 in the OEIS)
(sequence A061209 in the OEIS)
(sequence A005188 in the OEIS)
(sequence A064942 in the OEIS)
(sequence A032799 in the OEIS)
Conway, John H. "Five $1,000 Problems (Update 2017)" (PDF). Online Encyclopedia of Integer Sequences. Retrieved 2024-04-15.

semanticscholar.org

api.semanticscholar.org

Bailey, David; Borwein, Jonathan; Kapoor, Vishal; Weisstein, Eric (9 March 2006). "Ten Problems in Experimental Mathematics" (PDF). The American Mathematical Monthly. 113 (6): 22. doi:10.1080/00029890.2006.11920330. S2CID 13560576. Archived from the original (PDF) on 18 April 2007.
Whittaker, Edmund (1945). "Eddington's Theory of the Constants of Nature". The Mathematical Gazette. 29 (286): 137–144. doi:10.2307/3609461. JSTOR 3609461. S2CID 125122360.

stackexchange.com

math.stackexchange.com

"Curious relation between $e$ and $\pi$ that produces almost integers". Math Stack Exchange. December 26, 2016. Retrieved 2017-12-04.
"Proving the identity $\textstyle \sum _{n=-\infty }^{\infty }e^{-\pi n^{2}x}=x^{-1/2}\sum _{n=-\infty }^{\infty }e^{-\pi n^{2}/x}$ ". Stack Exchange. December 5, 2013. Retrieved 2017-12-04.

stetson.edu

Erich Friedman, Problem of the Month (August 2000) Archived 2019-11-07 at the Wayback Machine.

uni-goettingen.de

gdz.sub.uni-goettingen.de

Glaisher, J. W. L. "An Approximate Numerical Theorem Involving e and π". The Quarterly Journal of Pure and Applied Mathematics – via Göttinger Digitalisierungszentrum.

utm.edu

primes.utm.edu

"Prime Curios! 499999". Prime Curios.
Prime Curios!: 343.

web.archive.org

Bailey, David; Borwein, Jonathan; Kapoor, Vishal; Weisstein, Eric (9 March 2006). "Ten Problems in Experimental Mathematics" (PDF). The American Mathematical Monthly. 113 (6): 22. doi:10.1080/00029890.2006.11920330. S2CID 13560576. Archived from the original (PDF) on 18 April 2007.
"Almost Integer". 10 November 2023. Archived from the original on 27 November 2023.
"Almost Integer". 1 December 2023. Archived from the original on 3 December 2023. (A. Doman, Sep. 18, 2023, communicated by D. Bamberger, Nov. 26, 2023). Amusingly, the choice of π≈22/7 (which is not mathematically significant compared to other choices except that it makes the final form very simple) in the last step makes the formula an order of magnitude more precise than it would otherwise be.
What's Special About This Number? (archived)
Erich Friedman, Problem of the Month (August 2000) Archived 2019-11-07 at the Wayback Machine.

wired.com

"What Does Pi Have To Do With Gravity?". Wired. March 8, 2013. Retrieved October 15, 2015.

wolfram.com

mathworld.wolfram.com

Mathworld, Pi Approximations, Line 47
Weisstein, Eric W. "Almost Integer". MathWorld.
"Almost Integer". 10 November 2023. Archived from the original on 27 November 2023.
"Almost Integer". 1 December 2023. Archived from the original on 3 December 2023. (A. Doman, Sep. 18, 2023, communicated by D. Bamberger, Nov. 26, 2023). Amusingly, the choice of π≈22/7 (which is not mathematically significant compared to other choices except that it makes the final form very simple) in the last step makes the formula an order of magnitude more precise than it would otherwise be.
Weisstein, Eric W. "Almost Integer". mathworld.wolfram.com. Retrieved 2022-07-15.
Weisstein, Eric. "Münchhausen Number". mathworld.wolfram.com. Retrieved 2017-12-04.
Weisstein, Eric W. "Anomalous Cancellation". MathWorld.

xkcd.com

what-if.xkcd.com

"A Mole of Moles". what-if.xkcd.com. Retrieved 2018-09-12.