Article by Guilbaud, GT and Rosenstiehl, P

URL: http://www.numdam.org/article/MSH_1963__4__9_0.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Guilbaud1963

Article by Oliver Knill

In collection: Lists and catalogues

An expository hitchhiker's guide to some theorems in mathematics.

URL: http://www.math.harvard.edu/~knill/graphgeometry/papers/fundamental.pdf

Entry: https://read.somethingorotherwhatever.com/entry/SomeFundamentalTheoremsInMathematics

Article by Faure, F. and Teschner, M.

In collection: Basically computer science

URL: http://www.matthiasmueller.info/publications/hpbd.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Faure2008

Article by Michael Hardy

In collections: About proof, Integerology

In 2009, Catherine Woodgold and I published ‘‘Prime Simplicity’’, examining the belief that Euclid’s famous proof of the infinitude of prime numbers was by contradiction. We demonstrated that that belief is widespread among mathematicians and is false: Euclid’s proof is simpler and better than the frequently seen proof by...

URL: https://link.springer.com/article/10.1007/s00283-012-9322-z

Entry: https://read.somethingorotherwhatever.com/entry/ThreeThoughtsonPrimeSimplicity

Article by Timothy Gowers

In collections: About proof, The act of doing maths

Among the most fascinating results of mathematics are unprovability theorems, that is, rigorous proofs that certain statements cannot be deduced from certain axioms. A very famous example is Paul Cohen's demonstration that the continuum hypothesis cannot be deduced from the ZFC axioms . For this, Cohen invented...

URL: https://www.dpmms.cam.ac.uk/~wtg10/metamathematics.html

Entry: https://read.somethingorotherwhatever.com/entry/MathematicsWithAMetamathematicalFlavour

Article by Battisti, F and Carli, M and Neri, A and Egiaziarian, K

In collections: Basically computer science, Fibonaccinalia

URL: http://www.comlab.uniroma3.it/Marco/Articoli%20Battisti/A%20Generalized%20Fibonacci%20LSB%20Data%20Hiding%20Technique.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Battisti2006

Article by John Ewing and Ciprian Foias

In collection: Fun maths facts

This is the story of a remarkable real number, the discovery of which was due to a misprint. Namely, in the mid-seventies, while Ciprian was at the University of Bucharest, one of his former students approached him with the following question: If \(x_1 \gt 0\) and \(x_{n+1} = \left(1 +...

URL: https://link.springer.com/chapter/10.1007/978-1-4471-0751-4_8

PDF: https://link.springer.com/content/pdf/10.1007%2F978-1-4471-0751-4_8.pdf

Entry: https://read.somethingorotherwhatever.com/entry/AnInterestingSerendipitousRealNumber

Article by Jeff Erickson and Gabriel Nivasch and Junyan Xu

In collection: Unusual arithmetic

Inspired by a mathematical riddle involving fuses, we define the "fusible numbers" as follows: \(0\) is fusible, and whenever \(x,y\) are fusible with \(|y-x|<1\), the number \((x+y+1)/2\) is also fusible. We prove that the set of fusible numbers, ordered by the usual order on...

URL: https://arxiv.org/abs/2003.14342v1

PDF: https://arxiv.org/pdf/2003.14342v1

Entry: https://read.somethingorotherwhatever.com/entry/FusiblenumbersandPeanoArithmetic

In collection: Basically computer science

It seems unlikely that two computers, designed by different people 1800 miles apart, would be upset in the same way by the same two floating-point numbers 65535... and 4294967295... , but it has happened.

URL: http://www.cs.berkeley.edu/~wkahan/tests/numbeast.ps

Entry: https://read.somethingorotherwhatever.com/entry/Kahan

Article by Fisher, GL and Mellor, B.

In collections: Easily explained, Things to make and do, The groups group

URL: http://www.tandfonline.com/doi/abs/10.1080/17513470701416264

PDF: http://myweb.lmu.edu/bmellor/beadedbeads.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Fisher2007

Article by Lehmer, DH

In collections: Easily explained, Fun maths facts

URL: http://projecteuclid.org/euclid.ijm/1256067456

Entry: https://read.somethingorotherwhatever.com/entry/Lehmer1964

Article by Simon J. Devitt

In collection: Unusual computers

The task of programming a quantum computer is just as strange as quantum mechanics itself. But it now looks like a simple 3D puzzle may be the future tool of quantum software engineers.

URL: http://arxiv.org/abs/1609.06628v1

PDF: http://arxiv.org/pdf/1609.06628v1

Entry: https://read.somethingorotherwhatever.com/entry/Programmingquantumcomputersusing3Dpuzzlescoffeecupsanddoughnuts

Article by Mamakani, Khalegh and Ruskey, Frank

In collections: Art, Easily explained

A symmetric Venn diagram is one that is invariant under rotation, up to a relabeling of curves. A simple Venn diagram is one in which at most two curves intersect at any point. In this paper we introduce a new property of Venn diagrams called crosscut symmetry,...

URL: http://arxiv.org/abs/1207.6452

PDF: http://arxiv.org/pdf/1207.6452v1

Entry: https://read.somethingorotherwhatever.com/entry/Mamakani2012

Article by Mira Bernstein and Moon Duchin

In collections: Protocols and strategies, Geometry

Recently, a proposal has been advanced to detect unconstitutional partisan gerrymandering with a simple formula called the efficiency gap. The efficiency gap is now working its way towards a possible landmark case in the Supreme Court. This...

URL: http://arxiv.org/abs/1705.10812v1

PDF: http://arxiv.org/pdf/1705.10812v1

Entry: https://read.somethingorotherwhatever.com/entry/AformulagoestocourtPartisangerrymanderingandtheefficiencygap

Article by Barany, Michael J and Mackenzie, Donald

In collections: Notation and conventions, The act of doing maths

URL: http://www.sps.ed.ac.uk/__data/assets/file/0020/60518/Chalk.pdf

Entry: https://read.somethingorotherwhatever.com/entry/Barany2011

Article by Glen Miller

URL: http://www.ncbi.nlm.nih.gov/pubmed/19543813

Entry: https://read.somethingorotherwhatever.com/entry/item13

Article by Bell, George I.

In collections: Puzzles, Fun maths facts

We consider the one-person game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient conditions for this game to be solvable. For all solvable...

URL: http://arxiv.org/abs/math/0703865v6

PDF: http://arxiv.org/pdf/math/0703865v6

Entry: https://read.somethingorotherwhatever.com/entry/Bell2007

Article by Andrew Granville and Greg Martin

In collections: Attention-grabbing titles, Easily explained, Fun maths facts, Integerology

This is a survey article on prime number races. Chebyshev noticed in the first half of the nineteenth century that for any given value of x, there always seem to be more primes of the form 4n+3 less than x then there are of the form 4n+1. Similar...

URL: http://arxiv.org/abs/math/0408319v1

PDF: http://arxiv.org/pdf/math/0408319v1

Entry: https://read.somethingorotherwhatever.com/entry/PrimeNumberRaces

Braids which can be plaited with their threads tied together at each end

Article by J.A.H. Shepperd

In collections: Fun maths facts, The groups group, Things to make and do

The group of braids, which can be plaited from n untwisted threads tied together at each end, is examined and its structure is determined. An algorithm is derived for deciding whether or not a given braid can be so plaited and a calculation procedure...

URL: https://royalsocietypublishing.org/doi/10.1098/rspa.1962.0006

Entry: https://read.somethingorotherwhatever.com/entry/Braidswhichcanbeplaitedwiththeirthreadstiedtogetherateachend

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- @christianp

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@christianp's collection of interesting and unusual maths references.

Posts one interesting reference a day.

http://read.somethingorotherwhatever.com

Joined Apr 2017