Nim multiplication

Article by H. W. Lenstra, Jr.

In collections: Games to play with friends, Unusual arithmetic

URL: https://openaccess.leidenuniv.nl/bitstream/handle/1887/2125/346_027.pdf?sequence=1

Entry: http://read.somethingorotherwhatever.com/entry/item18

A New Rose : The First Simple Symmetric 11-Venn Diagram

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...

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

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

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

New entry!

Duotone Truchet-like tilings

Article by Cameron Browne

In collections: Art, Easily explained, Geometry, Things to make and do

This paper explores methods for colouring Truchet-like tiles, with an emphasis on the resulting visual patterns and designs. The methods are extended to non-square tilings that...

URL: https://www.tandfonline.com/doi/full/10.1080/17513470902718252?scroll=top&needAccess=true

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

Article by H. W. Lenstra, Jr.

In collections: Games to play with friends, Unusual arithmetic

URL: https://openaccess.leidenuniv.nl/bitstream/handle/1887/2125/346_027.pdf?sequence=1

Entry: http://read.somethingorotherwhatever.com/entry/item18

New entry!

Prime Number Races

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...

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

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

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

Rithmomachia

Web page by Daniel U. Thibault and Michel Boutin

In collections: Games to play with friends, History

This complex chess-like game appeared in the western world around the year 1000. The game knew a great burst of popularity in the 15th century, because of some rules changes. When chess also saw its rules change (particularly when the Queen started to move in its...

URL: http://www.gamecabinet.com/rules/Rithmomachia.html

Entry: http://read.somethingorotherwhatever.com/entry/item39

A history of mathematical notations

Book by Florian Cajori

In collections: History, Notation and conventions, Lists and catalogues

URL: http://www.maths.ed.ac.uk/~aar/papers/cajorinot.pdf

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

Homotopy type theory: the logic of space

Article by Michael Shulman

This is an introduction to type theory, synthetic topology, and homotopy type theory from a category-theoretic and topological point of view, written as a chapter for the book "New Spaces for Mathematics and Physics" (ed. Gabriel Catren and Mathieu Anel).

URL: http://arxiv.org/abs/1703.03007v1

PDF: http://arxiv.org/pdf/1703.03007v1

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

An Invitation to Inverse Group Theory

Article by João Araújo and Peter J. Cameron and Francesco Matucci

In collection: Unusual arithmetic

In group theory there are many constructions which produce a new group from a given one. Often the result is a subgroup: the derived group, centre, socle, Frattini subgroup, Hall subgroup,...

URL: http://arxiv.org/abs/1803.10179v2

PDF: http://arxiv.org/pdf/1803.10179v2

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

Survey on fusible numbers

Article by Xu, Junyan

In collection: Easily explained

We point out that the recursive formula that appears in Erickson's presentation "Fusible Numbers" is incorrect, and pose an alternate conjecture about the structure of fusible numbers. Although we are unable to solve the conjecture, we succeed in establishing some basic properties...

URL: http://arxiv.org/abs/1202.5614

PDF: http://arxiv.org/pdf/1202.5614v1

Entry: http://read.somethingorotherwhatever.com/entry/Xu2012

Maximum Matching and a Polyhedron With 0,1-Vertices

A matching in a graph \(G\) is a subset of edges in \(G\) such that no two meet the same node in \(G\). The convex polyhedron \(C\) is characterised, where the extreme points of \(C\) correspond to the matchings in \(G\). Where each edge of \(G\) carries a real numerical weight, an efficient algorithm is...

URL: http://nvlpubs.nist.gov/nistpubs/jres/69B/jresv69Bn1-2p125_A1b.pdf

Entry: http://read.somethingorotherwhatever.com/entry/item49

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

Random Walks on Finite Groups

Article by Saloff-coste, Laurent

In collection: Probability and statistics

Markov chains on finite sets are used in a great variety of situations to approximate, understand and sample from their limit distribution. A familiar example is provided by card shuffling methods. From this viewpoint, one is interested in the “mixing time” of...

URL: http://statweb.stanford.edu/~cgates/PERSI/papers/rwfg.pdf

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

New entry!

Conway's doughnuts

Article by Peter Doyle and Shikhin Sethi

In collections: Food, Fun maths facts, Geometry

Morley's Theorem about angle trisectors can be viewed as the statement that a certain diagram `exists', meaning that triangles of prescribed shapes meet in a prescribed pattern. This diagram is the case n=3 of a class of...

URL: http://arxiv.org/abs/1804.04024v1

PDF: http://arxiv.org/pdf/1804.04024v1

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

Half of a coin: negative probabilities

Article by Székely, GJ

In collections: Probability and statistics, Unusual arithmetic, Fun maths facts

URL: http://citeseerx.ist.psu.edu/viewdoc/download;jsessionid=31A106EA94D27A532BC5142A6E7F621C?doi=10.1.1.592.2043&rep=rep1&type=pdf

Entry: http://read.somethingorotherwhatever.com/entry/Szekely2005

Book by Florian Cajori

In collections: History, Notation and conventions, Lists and catalogues

URL: http://www.maths.ed.ac.uk/~aar/papers/cajorinot.pdf

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

A note on paradoxical metric spaces

Article by Deuber, W A and Simonovits, M and Os, V T S

URL: http://renyi.hu/~miki/walter07.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Deuber2004

The Curling Number Conjecture

Article by Benjamin Chaffin and N. J. A. Sloane

In collections: Easily explained, Integerology

Given a finite nonempty sequence of integers S, by grouping adjacent terms it is always possible to write it, possibly in many ways, as S = X Y^k, where X and Y are sequences and Y is nonempty. Choose the version...

URL: http://arxiv.org/abs/0912.2382v5

PDF: http://arxiv.org/pdf/0912.2382v5

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

Random Triangles and Polygons in the Plane

Article by Jason Cantarella and Tom Needham and Clayton Shonkwiler and Gavin Stewart

In collections: Probability and statistics, Geometry

We consider the problem of finding the probability that a random triangle is obtuse, which was first raised by Lewis Caroll. Our investigation...

URL: http://arxiv.org/abs/1702.01027v1

PDF: http://arxiv.org/pdf/1702.01027v1

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

There is no "Uspensky's method"

Article by Akritas, AG

In collections: Attention-grabbing titles, Drama!

In this paper an attempt is made to correct the misconception of several authors that there exists a method by Upensky (based on Vincent's theorem) for the isolation of the real roots of a polynomial equation with rational coefficients. Despite Uspensky's claim, in the...

URL: http://portal.acm.org/citation.cfm?id=32457

Entry: http://read.somethingorotherwhatever.com/entry/Akritas1986

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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