How Java's floating-point hurts everyone everywhere

Article by Kahan, W and Darcy, JD

In collection: Basically computer science

URL: http://port70.net/~nsz/articles/float/kahan_java_hurts_1998.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Kahan1998

Division by three

Article by Doyle, Peter G. and Conway, John Horton

In collection: Fun maths facts

We prove without appeal to the Axiom of Choice that for any sets A and B, if there is a one-to-one correspondence between 3 cross A and 3 cross B then there is a one-to-one correspondence between A and B. The first such proof, due to...

URL: https://arxiv.org/abs/math/0605779v1

PDF: https://arxiv.org/pdf/math/0605779v1.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Doyle2006

Only problems, not solutions!

Article by Smarandache, Florentin

In collections: Attention-grabbing titles, Puzzles

URL: http://fs.gallup.unm.edu/opns.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Smarandache1991

Frustration solitaire

Article by Peter G. Doyle and Charles M. Grinstead and J. Laurie Snell

In collections: Easily explained, Games to play with friends, Probability and statistics, Puzzles

In this expository article, we discuss the rank-derangement problem, which asks for the number of permutations of a deck of cards such that each...

URL: http://arxiv.org/abs/math/0703900v2

PDF: http://arxiv.org/pdf/math/0703900v2

Entry: http://read.somethingorotherwhatever.com/entry/Frustrationsolitaire

The Mathematics of Musical Instruments

Article by Hall, Rachel W. and Josic, Kresimir

In collection: Music

URL: http://www.jstor.org/stable/2695241?origin=crossref

Entry: http://read.somethingorotherwhatever.com/entry/Hall2001

A categorical foundation for Bayesian probability

Article by Culbertson, Jared and Sturtz, Kirk

In collection: Probability and statistics

Given two measurable spaces \(H\) and \(D\) with countably generated \(\sigma\)-algebras, a prior probability measure \(P_H\) on \(H\) and a sampling distribution \(\mcS:H \rightarrow D\), there is a corresponding...

URL: http://arxiv.org/abs/1205.1488

PDF: http://arxiv.org/pdf/1205.1488v3

Entry: http://read.somethingorotherwhatever.com/entry/Culbertson2012

Analysis of Casino Shelf Shuffling Machines

Article by Diaconis, Persi and Fulman, Jason and Holmes, Susan

In collections: Basically physics, Probability and statistics

Many casinos routinely use mechanical card shuffling machines. We were asked to evaluate a new product, a shelf shuffler. This leads to new probability, new combinatorics, and to some...

URL: http://arxiv.org/abs/1107.2961

PDF: http://arxiv.org/pdf/1107.2961v2

Entry: http://read.somethingorotherwhatever.com/entry/Diaconis2011

Topologically Distinct Sets of Non-intersecting Circles in the Plane

Article by Richard J. Mathar

In collections: Easily explained, Geometry

Nested parentheses are forms in an algebra which define orders of evaluations. A class of well-formed sets of associated opening and closing parentheses is well...

URL: http://arxiv.org/abs/1603.00077v1

PDF: http://arxiv.org/pdf/1603.00077v1

Entry: http://read.somethingorotherwhatever.com/entry/TopologicallyDistinctSetsofNonintersectingCirclesinthePlane

Counting groups: gnus, moas and other exotica

Article by John H. Conway and Heiko Dietrich and E.A. O’Brien

In collections: Attention-grabbing titles, Animals

The number of groups of a given order is a fascinating function. We report on its known values, discuss some of its properties, and study some related functions.

URL: https://www.math.auckland.ac.nz/~obrien/research/gnu.pdf

Entry: http://read.somethingorotherwhatever.com/entry/CountingGroups

Cryptographic and Physical Zero-Knowledge Proof Systems for Solutions of Sudoku Puzzles

None by Gradwohl, Ronen and Naor, M. and Pinkas, Benny and Rothblum, G.

In collections: Easily explained, Protocols and strategies, About proof

URL: http://www.springerlink.com/index/N15668887411R778.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Gradwohl2007

A Hamiltonian circuit for Rubik's Cube

Web page by cuBerBruce

In collections: Easily explained, Puzzles, Fun maths facts

At last, the Hamiltonian circuit problem for Rubik's Cube has a solution! To be a little more mathematically precise, a Hamiltonian circuit of the quarter-turn metric Cayley graph for the Rubik's Cube group has been found.

URL: http://bruce.cubing.net/ham333/rubikhamiltonexplanation.html

Entry: http://read.somethingorotherwhatever.com/entry/item22

Hypercomputation: computing more than the Turing machine

Article by Ord, Toby

In collections: Basically computer science, Unusual computers

Due to common misconceptions about the Church-Turing thesis, it has been widely assumed that the Turing machine provides an upper bound on what is computable. This is not so. The new field of hypercomputation...

URL: http://arxiv.org/abs/math/0209332

PDF: http://arxiv.org/pdf/math/0209332v1

Entry: http://read.somethingorotherwhatever.com/entry/Ord2002

The role of instrumental and relational understanding in proofs about group isomorphisms

None by Weber, K.

In collections: The act of doing maths, About proof

URL: http://www.math.uoc.gr/~ictm2/Proceedings/pap86.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Weber2002

Renyi's Parking Problem Revisited

Article by Matthew P. Clay and Nandor J. Simanyi

In collection: Easily explained

R\'enyi's parking problem (or \(1D\) sequential interval packing problem) dates back to 1958, when R\'enyi studied the following random process: Consider an interval \(I\) of length \(x\), and sequentially and randomly...

URL: http://arxiv.org/abs/1406.1781v2

PDF: http://arxiv.org/pdf/1406.1781v2

Entry: http://read.somethingorotherwhatever.com/entry/RenyisParkingProblemRevisited

New entry!

What is a closed-form number?

Article by Timothy Y. Chow

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

If a student asks for an antiderivative of exp(x^2), there is a standard reply: the answer is not an elementary function. But if a student asks for a closed-form expression for the real root of x =...

URL: http://arxiv.org/abs/math/9805045v1

PDF: http://arxiv.org/pdf/math/9805045v1

Entry: http://read.somethingorotherwhatever.com/entry/Whatisaclosedformnumber

Efficient Algorithms for Zeckendorf Arithmetic

Article by Ahlbach, Connor and Usatine, Jeremy and Pippenger, Nicholas

In collections: Easily explained, Fun maths facts, Integerology

We study the problem of addition and subtraction using the Zeckendorf representation of integers. We show that both operations can be performed in linear time; in fact they...

URL: http://arxiv.org/abs/1207.4497

PDF: http://arxiv.org/pdf/1207.4497v1

Entry: http://read.somethingorotherwhatever.com/entry/Ahlbach2012

Asymptotic statistics of the n-sided planar Poisson–Voronoi cell: I. Exact results

Article by Hilhorst, H.J.

In collections: Probability and statistics, Geometry

URL: http://iopscience.iop.org/1742-5468/2005/09/P09005

Entry: http://read.somethingorotherwhatever.com/entry/Hilhorst2005

Fingerprint databases for theorems

Article by Sara C. Billey and Bridget E. Tenner

In collections: Lists and catalogues, The act of doing maths

We discuss the advantages of searchable, collaborative, language-independent databases of mathematical results, indexed by "fingerprints" of small and canonical data. Our motivating example...

URL: http://arxiv.org/abs/1304.3866v1

PDF: http://arxiv.org/pdf/1304.3866v1

Entry: http://read.somethingorotherwhatever.com/entry/Fingerprintdatabasesfortheorems

Division by zero

Article by Emil Jeřábek

In collection: About proof

As a consequence of the MRDP theorem, the set of Diophantine equations provably unsolvable in any sufficiently strong theory of arithmetic is algorithmically undecidable. In contrast, we show the decidability of Diophantine equations provably unsolvable in Robinson's arithmetic Q. The...

URL: http://arxiv.org/abs/1604.07309

PDF: http://arxiv.org/pdf/1604.07309v1

Entry: http://read.somethingorotherwhatever.com/entry/Jerabek2016

Unbounded spigot algorithms for the digits of pi

Article by Gibbons, J.

In collections: Basically computer science, Fun maths facts

URL: http://www.cs.ox.ac.uk/jeremy.gibbons/publications/spigot.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Gibbons2006

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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