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346 posts tagged with Mathematics.

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346 posts tagged with Mathematics.

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## "This ain't no disco/This ain't no foolin' around"

Mathematical proofs

*in sanus*, with some visualization from Martin Wattenberg's The Shape of Song. "The music here...is a raw and unadorned representation of the mathematics itself, involving few human preconceptions beyond a basic mapping needed to accommodate the Western tonal scale."## How to Draw a Straight Line

How to Draw a Straight Line - Until 1873, virtually all mathemeticians and engineers agreed that it was impossible to build a linkage that could convert circular motion to perfectly straight motion. In that year, Lipmann Lipkin rediscovered the Peaucellier cell which had been quietly created a decade earlier. Although much simpler to build, it was predated by Pierre-Frederic Sarrus' non-planar solution. Nowadays, though, linkages can do some extremely complex things. (via)

## Tangible Applications of Science

Beyond Discovery - illustrations of the path from research to human benefit

## Guess about 2 people will snark about this title

A View from the Back of the Envelope - approximations and the fun behind them.

## Lost and Found

Not Lost After All Given recent posts proving and disproving various meanings of the ongoing numbers references on the television program Lost, I figured that some of you would be interested that a person over on Flickr seems to have a much better explanation: they're simply geographic coordinates.

## Sine of the times

Norman Wildberger's New Trigonometry Dr Norman Wildberger has rewritten the arcane rules of trigonometry and eliminated sines, cosines and tangents from the trigonometric toolkit. The First chapter of his new book, Divine Proportions, is online (.pdf).

## Math You Don't Know, and Math You Didn't Know You Didn't Know.

Jim Loy's Mathematics Page is (among other things) a collection of interesting theorems (like Napoleon's Triangle theorem), thoughtful discussions of both simple and complex math, and geometric constructions (my personal favorite); the latter of which contains surprisingly-complex discussions on the trisection of angles, or the drawing of regular pentagons.

Similarly enthralling are the pages on Billiards (and the physics of), Astronomy (and the savants of), and Physics (and the Phlogiston Theory of), all of which are rife with illustrations and diagrams. See the homepage for much more.

If you like your geometric constructions big, try Zef Damen's Crop Circle Reconstructions.

Similarly enthralling are the pages on Billiards (and the physics of), Astronomy (and the savants of), and Physics (and the Phlogiston Theory of), all of which are rife with illustrations and diagrams. See the homepage for much more.

If you like your geometric constructions big, try Zef Damen's Crop Circle Reconstructions.

## What kind of a sculpture would Metafilter represent?

## Negative knowledge (or more precisely negative information)

Know less than nothing!?

*What could negative knowledge possibly mean? In short, after I tell you negative information, you will know less...*"In this week's issue of Nature, however, Michal Horodecki and colleagues present a fresh approach to understanding quantum phenomena that cannot be grasped simply by considering their classical counterparts." [via slashdot :]## The World is Bound With Secret Knots

Athanasius Kircher was the 17th century's Jesuit version of the

*über*geek. His scholarly attentions were drawn to egyptology, astronomy, magnetism, languages, optics, music, geology, mathematics and many many other pursuits. The "dude of wonders" invented novel machines such as the mathematical organ and magnetic clock, established one of the first museums, published about 40 academic works (with beautiful accompanying illustrations) and was globally revered as one of his time's greatest intellectuals. He is also the main link in the Voynich manuscript mystery. [**MI**]## MARGE! You're soaking in it!

Fractal animation videos. Tune in. Turn on. Drop in on a dripping skirling-swirling pulsating orgy of self-transforming recursive math. Some with fractal music. (Non-embedded mpeg-1 and mpeg-2 files, like God intended.)

## Nature of Mathematical Truth

Gödel and the Nature of Mathematical Truth : A Talk with Verena Huber-Dyson

## You can't prove this title wasn't an attempt to illustrate Godel

Godel's theorems have been used to extrapolate a great many "truths" about the world. Torkel Franzen sets the record straight in his new book Godel's Theorem: An Incomplete Guide to Its Use and Abuse. Read the introduction (PDF). If you want, check out his explanation of the theorems.

## The Complexity of a Controversial Concept

The Logic of Diversity "A new book,

*The Wisdom of Crowds*[..:] by The New Yorker columnist James Surowiecki, has recently popularized the idea that groups can, in some ways, be smarter than their members, which is superficially similar to Page's results. While Surowiecki gives many examples of what one might call collective cognition, where groups out-perform isolated individuals, he really has only one explanation for this phenomenon, based on one of his examples: jelly beans [...] averaging together many independent, unbiased guesses gives a result that is probably closer to the truth than any one guess. While true — it's the central limit theorem of statistics — it's far from being the only way in which diversity can be beneficial in problem solving." (Three-Toed Sloth)## What makes a hat into hate?

That's Mathematics! Warning, contains bad camera work, worse editing, a rather complicated homework problem, a few mathematical in-jokes, illegible chalkboard writing, and a 13 minute performance by Tom Lehrer.

## Crafty geeks

Whether its crocheted hyperbolic models or Lorenz manifolds, a lace pi shawl or knit Fibonacci socks, some math geeks find expression in the fiber arts.

## Let's get stoned and explore bounded equations

## Capturing the Unicorn

Capturing the Unicorn : How two mathematicians helped the Met to digitally stitch together the Unicorn Tapestry. (via)

## Saunders Mac Lane, 1909--2005

Saunders Mac Lane, mathematician, has died, age 95. Winner of the National Medal of Science, Vice-President of the National Academy of Science, President of the American Mathematical Society, author of three of the canonical texts in algebra [reg. maybe req., here's a local copy], Mac Lane was also mathematical ancestor to over a thousand mathematicians, father of category theory and homological algebra, and expert in topology, topos theory, group cohomology, logic, and applied mathematics. He was one of the towering figures of postwar mathematics. Remembered by his students and all of us who were affected by his work and his life.

## 1 + 2 = high drama

The Mathematical Fiction Homepage is a collaborative attempt to "collect information about all significant references to mathematics in fiction." Feel free to add classic or recent works in any medium to the collection, or rate existing entries on their mathematical content and literary quality.

## MathematicsFilter

## To “have the privilege of walking home with Gödel.”

“Gödel put logic on the mathematical map.”

An excellent interview with Rebecca Goldstein, biographer of Kurt Godel

An excellent interview with Rebecca Goldstein, biographer of Kurt Godel

## Winnie Knows Math

Danica McKellar —the former star of The Wonder Years—has her own web site. It's got a great feature where she answers your math questions. No, really. She's got a degree in mathematics and co-authored a paper on percolation and Ashkin-Teller models. No, really.

## snow sculpture

Mathematical Model : Knot Divided at the Budweiser International Snow Sculpture Championships 2005. Previous Mefi discussion.

## Hypothesis as thought-crime

Hypothesis as thought-crime...Now, however, a new brouhaha has erupted [at Harvard]and it seems impossible that Summers [the president]will emerge from this one without serious erosion of his moral authority. The trigger was a statement he made at a conference, suggesting that the reason there are more men than women in the mathematical sciences at top-flight institutions has to do with a small statistical difference in inate ability, which becomes a pretty large disparity when one looks at the 'high end' of the respective distribution curves...
The fatal words did not set forth his main theme, but merely constituted a brief aside, thoroughly hedged and qualified. Nonetheless, they touched off a firestorm of indignation, the most striking aspect of which was the intemperate response of a number of feminist scientists, who offered no counter-arguments, but simply declared the whole idea misogynistic and therefore forbidden intellectual territory.

## MetaMath

+Plus - An internet magazine published five times a year which aims to introduce readers to the beauty and the practical applications of mathematics.

## Game Theory Resource

## The Mathematics Genealogy Project

The Mathematics Genealogy Project. A service of the Department of Mathematics at North Dakota State University, the project intends to "compile information about ALL the mathematicians of the world. [...] It is our goal to list all individuals who have received a doctorate in mathematics." Seven generations from one of my recent professors back to Gauss, six back to Felix Klein (of Erlangen Program and bottle fame), eight back to Jacobi, and nine back to Poisson and Fourier, then Lagrange, then Euler, then the Bernoulli brothers, then Leibniz, and then it blew up at infinity.

## Math + test = trouble for US economy

Math + test = trouble for US economy For a nation committed to preparing students for 21st century jobs, the results of the first-of-its-kind study of how well teenagers can apply math skills to real-life problems is sobering.
American 15-year-olds rank well below those in most other industrialized countries in mathematics literacy and problem solving, according to a survey released Monday

## Thinking Machine 4

Thinking Machine 4

From Martin Wattenberg (with Marek Walczak); they have been noted here before.

*explores the invisible, elusive nature of thought. Play chess against a transparent intelligence, its evolving thought process visible on the board before you.*From Martin Wattenberg (with Marek Walczak); they have been noted here before.

## Meaning of Life

The Meaning of Life according to various rather famous people (Dennett, Fukuyama, etc). I'm watching the Dennett video at the moment and it starts rather weakly, but, by midway through, is rolling along nicely. With topics like "being good without god" and "the anthropic principle" it struck me as relevant to a couple of recent askmefi threads.

Dennett: [pause] i guess i'll say it again, more slowly...

(oh, and the player interface is rather delicate - give it time to load and click play a few times...)

Dennett: [pause] i guess i'll say it again, more slowly...

(oh, and the player interface is rather delicate - give it time to load and click play a few times...)

## A Tangled Tale

Maths puzzles and more problems. Found whilst searching for the fiendish the Monty Hall Problem. A Tangled Tale, indeed.

## Famous Curves

Famous Curves. Safe for work.

## 64=65?

64=65? there must be some kind of trick to this, right?

## rubber biscuit

## Ethnomathematics Digital Library

The Ethnomathematics Digital Library, a collection of links and papers covering the interaction of mathematics and culture. (More Inside)

## Eh, what?

An Intuitive Explanation of Bayesian Reasoning. [Page contains Java]

## Geek humor at its best

## Yet More Fractals

## Am I Evil?

Coincidence or contortion? Ivan Panin deciphered a numeric code in the Bible. Known as Gematria, the 'code' implies the Bible could not have been written without Holy assistance. Panin offered an open challenge for someone to create text using a similar pattern, yet no one was able to create one(nor tried).

However many people doubt the authenticity of the code though. The code is found in the same verses using different translations. It is also claimed that Panin manufactured his own translations to create this mathematical phenomenon.

Whether or not you believe, you can determine how good or evil any text or website is.

However many people doubt the authenticity of the code though. The code is found in the same verses using different translations. It is also claimed that Panin manufactured his own translations to create this mathematical phenomenon.

Whether or not you believe, you can determine how good or evil any text or website is.

## Fractally Surreal

## Yet Another Fractal Art Iteration

## FractalFilter

## MemoryNet

## Number Spirals

Number Spirals: Coincidences of order. "In mathematics you don't understand things. You just get used to them."

## A New Chronology?

The mathematician Anatoly Fomenko is one of a number of Russian academics advancing revisionist chronologies which portray a greatly foreshortened view of European history. He argues that mediaeval and classical histories as we know them today were fabricated in Renaissance times. In his book 'History: Fiction or Science', he 'proves' that Jesus Christ was born in 1053 and crucified in 1086, and that the Old Testament refers to mediaeval events... Fomenko's theories have been debunked, but his ideas have nevertheless gained some currency in Russia: among his supporters is the former chess champion Garry Kasparov. Of course, Fomenko is by no means the first mathematician to grapple with the subject of chronology: indeed, any history must be founded in part on a calculus of dates... Are there any parallels, I wonder, between the spread of theories like Fomenko's and the renewed prevalence of Biblical chronologies in the US, for example: is there some kind of psychological solace in perceiving history on a smaller scale than current academic orthodoxy allows? (more inside).

## Can't Get No Satisfaction

Can't Get No Satisfaction - This unassuming essay (it's in a state of half-decay with missing figures) is a fascinating (and accessible) overview of phase transitions in NP systems (it explains those terms). In other words: complex physical systems and difficult problems in computing are related. The seminal paper is here, and this is a list of other essays by the same author (links at foot of page).

## Cut the Knot

Cut the Knot. Interactive mathematics miscellany and puzzles.

## A treasure trove of math history

The MacTutor History of Mathematics archive from the University of St. Andrews' School of Mathematics and Statistics.

## John von Neumann

John von Neumann, 1903-1957. Today may have been the 100 year anniversary of the birth of John von Neumann (some think he may have been born on December 3rd). Along with Alan Turing and others, Von Neumann is one of the contenders for the title "Inventor of the modern computer." Whatever the precise date, it seems worth celebrating with some von Neumannania:
1,
10,
11,
100,
101,
110,
111,
1000,
1001.