Morton and Vicary on the Categorified Heisenberg Algebra
- "In quantum mechanics, position times momentum does not equal momentum times position! This sounds weird, but it's connected to a very simple fact. Suppose you have a box with some balls in it, and you have the magical ability to create and annihilate balls. Then there's one more way to create a ball and then annihilate one, than to annihilate one and then create one. Huh? Yes: if there are, say, 3 balls in the box to start with, there are 4 balls you can choose to annihilate after you've created one but only 3 before you create one..." [more inside]
posted by kliuless
on Jul 21, 2012 -
Measure-theoretic probability: Why it should be learnt and how to get started.
The clickable chart of distribution relationships.
Just two of the interesting and informative probability resources I've learned about, along with countless other tidbits of information, from statistician John D. Cook
and his probability fact-of-the-day Twitter feed ProbFact
. John also has daily tip and fact Twitter feeds for Windows keyboard shortcuts
, regular expressions
, TeX and LaTeX
, algebra and number theory
, topology and geometry
, real and complex analysis
, and beginning tomorrow, computer science
posted by grouse
on Dec 5, 2010 -
Let's say you're me and you're in math class, and you're supposed to be learning about factoring. Trouble is, your teacher is too busy trying to convince you that factoring is a useful skill for the average person to know with real-world applications ranging from passing your state exams all the way to getting a higher SAT score and unfortunately does not have the time to show you why factoring is actually interesting. It's perfectly reasonable for you to get bored in this situation. So like any reasonable person, you start doodling. [more inside]
posted by ErWenn
on Dec 3, 2010 -
The beauty of roots.
From Dan Christensen
and Sam Derbyshire via John Baez. If you like algebra: these are plots of the density in the complex plane of roots of polynomials with small integral coefficients. If you don't: these are extravagantly beautiful images produced from the simplest of mathematical procedures. Explore the image interactively here
posted by escabeche
on Jan 4, 2010 -
The Klein Four
is a group of math students at the Northwestern University who delight in bringing you various lovely, well-sung A Capella songs infused with their very own and very nerdy flavour. They're not the newest of the web, having released their first CD
in 2005, but witty lyrics
and five-part harmonizing
are definitely worth checking out. I did do a search for this and didn't find anything. Please don't kill me.
posted by Phire
on May 23, 2007 -
of Algebra: "Gabriela, sooner or later someone's going to tell you that algebra teaches reasoning. This is a lie propagated by, among others, algebra teachers.
posted by daksya
on Feb 16, 2006 -