A compilation of LEGO Technic parts to support learning experiments on linkages

Article by Zoltán Kovács and Benedek Kovács

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

We present a compilation of LEGO Technic parts to provide easy-to-build...

URL: http://arxiv.org/abs/1712.00440v1

PDF: http://arxiv.org/pdf/1712.00440v1

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

What are some of the most ridiculous proofs in mathematics?

Web page by Anonymous

In collections: The act of doing maths, About proof

URL: http://www.quora.com/Mathematics/What-are-some-of-the-most-ridiculous-proofs-in-mathematics

Entry: http://read.somethingorotherwhatever.com/entry/item28

Three Thoughts on “Prime Simplicity”

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...

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

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

A universal differential equation

Article by Lee A. Rubel

In collections: Fun maths facts, Unusual computers

There exists a non trivial fourth-order algebraic differential equation \[P(y',y'',y''',y'''') = 0,\] where \(P\) is a polynomial in four variables, with integer coefficients, such that for any continuous function \(\phi\) on \((-\infty,\infty)\)...

URL: https://projecteuclid.org/euclid.bams/1183548125

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

Useful inequalities cheat sheet

In collections: Lists and catalogues, About proof

This is a collection of some of the most important mathematical inequalities. I tried to include non-trivial inequalities that can be useful in solving problems or proving theorems. I omitted many details, in some cases even necessary conditions (hopefully only when they were obvious). If you are not...

URL: http://lkozma.net/inequalities_cheat_sheet/

Entry: http://read.somethingorotherwhatever.com/entry/item41

New entry!

Fiboquadratic Sequences and Extensions of the Cassini Identity Raised From the Study of Rithmomachia

Article by Tomás Guardia and Douglas Jiménez

In collections: Fibonaccinalia, Games to play with friends, History

In this paper, we introduce fiboquadratic...

URL: http://arxiv.org/abs/1509.03177v3

PDF: http://arxiv.org/pdf/1509.03177v3

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

A cohomological viewpoint on elementary school arithmetic

Article by Isaksen, DC

In collection: Unusual arithmetic

URL: http://www.jstor.org/stable/10.2307/3072368

Entry: http://read.somethingorotherwhatever.com/entry/Isaksen2002

Mechanical Computing Systems Using Only Links and Rotary Joints

Article by Ralph C. Merkle and Robert A. Freitas Jr. and Tad Hogg and Thomas E. Moore and Matthew S. Moses and James Ryley

In collections: Basically computer science, Things to make and do, Unusual computers

A new paradigm for mechanical...

URL: http://arxiv.org/abs/1801.03534v1

PDF: http://arxiv.org/pdf/1801.03534v1

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

A Fresh Look at Peg Solitaire

Article by George I. Bell

In collections: Easily explained, Puzzles

URL: http://recmath.org/pegsolitaire/papers/Bell_AFreshLookatPegSolitaire_MathMag2007.pdf

Entry: http://read.somethingorotherwhatever.com/entry/item44

Benjamin Peirce and the Howland will

Article by Meier, Paul and Zabell, Sandy

In collection: History

URL: http://www.jstor.org/stable/10.2307/2287637

PDF: http://ben-israel.rutgers.edu/711/Meier-Zabell.pdf

Entry: http://read.somethingorotherwhatever.com/entry/Meier1980

Undecidable problems: a sampler

Article by Poonen, Bjorn

In collection: Probability and statistics

After discussing two senses in which the notion of undecidability is used, we present a survey of undecidable decision problems arising in various branches of mathematics.

URL: http://arxiv.org/abs/1204.0299

PDF: http://arxiv.org/pdf/1204.0299v2

Entry: http://read.somethingorotherwhatever.com/entry/Poonen2012

Irrationality From The Book

Article by Miller, Steven J. and Montague, David

In collections: About proof, Fun maths facts

We generalize Tennenbaum's geometric proof of the irrationality of sqrt(2) to sqrt(n) for n = 3, 5, 6 and 10.

URL: http://arxiv.org/abs/0909.4913

PDF: http://arxiv.org/pdf/0909.4913v2

Entry: http://read.somethingorotherwhatever.com/entry/Miller2009a

Playing pool with \(\pi\) (the number \(\pi\) from a billiard point of view)

Article by Galperin, G

In collections: Easily explained, Fun maths facts

URL: http://www.turpion.org/php/reference.phtml?journal_id=rd&paper_id=252

Entry: http://read.somethingorotherwhatever.com/entry/Galperin2003

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

Near Miss Polyhedra

Web page by Jim McNeill

In collections: The act of doing maths, Geometry

The polyhedra on this page are not quite regular, but as they are close I present them here as 'near misses'.

URL: http://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/nearmiss.htm

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

Three-dimensional finite point groups and the symmetry of beaded beads

Article by Fisher, GL and Mellor, B.

In collections: Easily explained, Things to make and do

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

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

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

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

The general counterfeit coin problem

Article by Lorenz Halbeisen and Norbert Hungerbühler

In collections: Puzzles, Easily explained

Given \(c\) nickels among which there may be a counterfeit coin, which can only be told apart by its weight being different from the others, and moreover \(b\) balances. What is the minimal number of weighings...

URL: http://user.math.uzh.ch/halbeisen/publications/pdf/coin.pdf

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

A game for budding knot theorists

Web page by Dave Richeson

In collection: Games to play with friends

URL: http://divisbyzero.com/2010/08/24/a-game-for-budding-knot-theorists/

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

No, This is not a Circle

Article by Zoltán Kovács

In collections: Attention-grabbing titles, Easily explained, Drama!, Geometry

A curve, also shown in introductory maths textbooks, seems like a circle. But it is actually a different curve. This paper discusses some easy approaches to classify the result, including a GeoGebra applet...

URL: http://arxiv.org/abs/1704.08483v2

PDF: http://arxiv.org/pdf/1704.08483v2

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

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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