76 posts tagged with Math *and* science. (View popular tags)

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Quest for a true 3D Mandelbrot Fractal - a very nice exploration of Mandelbrot/Julia set fractals in various kinds of 3D space.

posted by loquacious on Sep 14, 2008 - 21 comments

posted by loquacious on Sep 14, 2008 - 21 comments

Correlative Analytics -- or as O'Reilly might term the Social Graph -- sort of mirrors the debate on 'brute force' algorithmic proofs (that are "true for no reason," cf.) in which "computers can extract patterns in this ocean of data that no human could ever possibly detect. These patterns are correlations. They may or may not be causative, but we can learn new things. Therefore they accomplish what science does, although not in the traditional manner... In this part of science, we may get answers that work, but which we don't understand. Is this partial understanding? Or a different kind of understanding?" Of course, say some in the scientific community: hogwash; it's just a fabrication of scientifically/statistically illiterate pundits, like whilst new techniques in data analysis are being developed to help keep ahead of the deluge...

posted by kliuless on Jul 21, 2008 - 40 comments

posted by kliuless on Jul 21, 2008 - 40 comments

A discovery leads to questions about whether the odds of people sharing genetic profiles are sometimes higher than portrayed. Calling the finding meaningless, the FBI has sought to block such inquiry.

posted by finite on Jul 20, 2008 - 30 comments

posted by finite on Jul 20, 2008 - 30 comments

A new study in Science claims that teaching math is better done by teaching the abstract concepts rather than using concrete examples. From an article by the study authors in Science Mag (requires subscription):
*If a goal of teaching mathematics is to produce knowledge that students can apply to multiple situations, then presenting mathematical concepts through generic instantiations, such as traditional symbolic notation, may be more effective than a series of "good examples." This is not to say that educational design should not incorporate contextualized examples. What we are suggesting is that grounding mathematics deeply in concrete contexts can potentially limit its applicability. Students might be better able to generalize mathematical concepts to various situations if the concepts have been introduced with the use of generic instantiations.
*

posted by peacheater on Apr 26, 2008 - 27 comments

posted by peacheater on Apr 26, 2008 - 27 comments

The Monty Hall Problem has struck again, and this time it’s not merely embarrassing mathematicians. If the calculations of a Yale economist are correct, there’s a sneaky logical fallacy in some of the most famous experiments in psychology." The NY Times' John Tierney reports on new research into cognitive dissonance as examined through the famous Monty Hall Problem. [A previous MetaFilter thread about the Monty Hall Problem: Let's Make A Deal!]

posted by amyms on Apr 8, 2008 - 119 comments

posted by amyms on Apr 8, 2008 - 119 comments

The Amen Break and the Golden Ratio by mathematics educator and author, Michael S. Schneider. Schneider, having already researched and written about the golden ratio extensively, noticed it right away when hearing the the amen break for the first time (amen break previously on the blue). While some composers have been known to intentionally incorporate fibonacci numbers and the golden ratio into their works, perhaps this is just another one of the many instances of the ratio showing up in nature.

posted by p3t3 on Mar 12, 2008 - 27 comments

posted by p3t3 on Mar 12, 2008 - 27 comments

The man who runs xkcd

has created the LimerickDB.

Though often quite dirty

There are more that are nerdy;

If you check out the best ones, you'll see.

posted by kyleg on Feb 5, 2008 - 88 comments

has created the LimerickDB.

Though often quite dirty

There are more that are nerdy;

If you check out the best ones, you'll see.

posted by kyleg on Feb 5, 2008 - 88 comments

Basic Concepts in Science: A List A regularly updated list of blog entries explaining the basics of science and mathematics.

posted by LeeJay on Jan 25, 2008 - 16 comments

posted by LeeJay on Jan 25, 2008 - 16 comments

"This is a story of how the impossible became possible. How, for centuries, scientists were absolutely sure that solids (as well as decorative patterns like tiling and quilts) could only have certain symmetries - such as square, hexagonal and triangular - and that most symmetries, including five-fold symmetry in the plane and icosahedral symmetry in three dimensions (the symmetry of a soccer ball), were strictly forbidden. Then, about twenty years ago, a new kind of pattern, known as a "quasicrystal," was envisaged that shatters the symmetry restrictions and allows for an infinite number of new patterns and structures that had never been seen before, suggesting a whole new class of materials...."

Physicist Paul J. Steinhardt delivers a fascinating lecture (WMV) on tilings and quasicrystals. However, it turns out science was beaten to the punch: a recent paper (PDF) suggests Islamic architecture developed similar tilings centuries earlier.

posted by parudox on Mar 18, 2007 - 11 comments

Physicist Paul J. Steinhardt delivers a fascinating lecture (WMV) on tilings and quasicrystals. However, it turns out science was beaten to the punch: a recent paper (PDF) suggests Islamic architecture developed similar tilings centuries earlier.

posted by parudox on Mar 18, 2007 - 11 comments

PhET - Physics Education Technology offers this astoundingly large library of online physics simulations. Play orbital billiards. Land on a cheesy moon. Experiment with sound. Or try more advanced quantum physics simulators. Still bored? Try the "cutting edge" catagory. Here's the complete index. (Warnings: Frames, Flash, Javascript, Java applets, graphics, sound, quantum timesuck.)

posted by loquacious on Feb 3, 2007 - 7 comments

posted by loquacious on Feb 3, 2007 - 7 comments

A talk with Benoît Mandelbrot, entitled Fractals in Science, Engineering and Finance (Roughness and Beauty) [video, 80mins, realplayer] about fractals as A Theory of Roughness.

posted by MetaMonkey on Dec 3, 2006 - 5 comments

posted by MetaMonkey on Dec 3, 2006 - 5 comments

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

posted by Gyan on Oct 22, 2005 - 7 comments

posted by Gyan on Oct 22, 2005 - 7 comments

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.

posted by odinsdream on Sep 14, 2005 - 8 comments

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.

posted by odinsdream on Sep 14, 2005 - 8 comments

Java applets to help visualize various concepts in math, physics, and engineering

posted by Gyan on Sep 9, 2005 - 13 comments

posted by Gyan on Sep 9, 2005 - 13 comments

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

posted by Gyan on Jul 29, 2005 - 77 comments

posted by Gyan on Jul 29, 2005 - 77 comments

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.

posted by Gyan on Jun 29, 2005 - 65 comments

posted by Gyan on Jun 29, 2005 - 65 comments

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)

posted by kliuless on Jun 20, 2005 - 6 comments

posted by kliuless on Jun 20, 2005 - 6 comments

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.

posted by bbrown on Feb 25, 2005 - 43 comments

posted by bbrown on Feb 25, 2005 - 43 comments

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.

posted by Postroad on Jan 31, 2005 - 71 comments

posted by Postroad on Jan 31, 2005 - 71 comments

Math And Science Song Information, Viewable Everywhere. For all those times you've needed a catchy acappella tune about doppler shifting *[mp3]* in a hurry, there's now MASSIVE, a fully searchable collaborative database of over 1700 songs about math and science, sponsored in part by the seriously pedagogical Science Songwriters Association. Biz Markie made the cut, and so can you. *[via the always-effervescent Research Buzz]*

posted by mediareport on Dec 27, 2004 - 14 comments

posted by mediareport on Dec 27, 2004 - 14 comments

Tessellations :: the intersection between symmetry, mathematics, and art.

posted by anastasiav on Mar 11, 2004 - 9 comments

posted by anastasiav on Mar 11, 2004 - 9 comments

Prof. George W. Hart, of the Computer Science Department at SUNY Stony Brook, has an enviable web presence. His Encyclopedia of Polyhedra alone is worth the visit, his geometric sculptures make the nerd in me weep at their beauty, and his trilobite recipe looks mighty yummy.

posted by ewagoner on Dec 19, 2002 - 12 comments

posted by ewagoner on Dec 19, 2002 - 12 comments

The End of equations? Paul Dirac and Albert Einstein thought equations were things of beauty, Stephen Wolfram, by contrast thinks they are antiquated.

posted by none on Jan 27, 2002 - 10 comments

posted by none on Jan 27, 2002 - 10 comments

Mathematician Bums Out Entire Scientific Community His "Omega" number--infinite and incalculable--guts hopes for pure mathematics, physicists' hopes for a Theory of Everything, and is just in general kind of bafflingly cool. Builds on the whole Godel/Turing foundation of hopelessness!

posted by Skot on Mar 15, 2001 - 35 comments

posted by Skot on Mar 15, 2001 - 35 comments

"Self-similar syncopations: Fibonacci, L-systems, limericks and ragtime" Along the lines of the book "Godel, Escher and Bach", an award winning essay looks at the mathmatical roots of popular music. I think I'm going to have to find a way to analyze some of my fave mp3's to see how they fall into the Fibonacci sequence...

posted by katchomko on May 19, 2000 - 2 comments

posted by katchomko on May 19, 2000 - 2 comments

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