Data-scientist Kevin H Wilson argues that computers are tools for manipulating data -- from companies' sales data to the input from games controllers -- but we teach computer programming as either a way to make cool stuff (like games) or as a gateway to "rigorous implementation details of complicated language," while we should be focusing on fusing computer and math curriciula to produce a new generation of people who understand how to use computers to plumb numbers to find deep, nuanced truths we can act upon. Read the rest
Meet Danica McKellar who as an undergraduate in college co-published a paper titled "Percolation and Gibbs states multiplicity for ferromagnetic Ashkin-Teller models on Z2," research that resulted in the Chayes–McKellar–Winn theorem. Oh yeah, before that, McKellar was Winnie on The Wonder Years.
(And just to confirm, Josh Saviano who played Paul Pfeiffer did not grow up to become Marilyn Manson.)
Love Hulten writes, "The Echo Observatory is a handcrafted tribute to fractals and self-similar patterns. It's a mysterious artifact that both generates and visualizes complex mathematical formations, in real-time." Read the rest
Andrew Hacker, a professor of both mathematics and political science at Queens University has a new book out, The Math Myth: And Other STEM Delusions, which makes the case that the inclusion of algebra and calculus in high school curriculum discourages students from learning mathematics, and displaces much more practical mathematical instruction about statistical and risk literacy, which he calls "Statistics for Citizenship." Read the rest
Samuel writes, "The mathematics podcast Relatively Prime (previously) is currently running a Kickstarter to fund a third season, this time with monthly episode. The episodes will features stories about how network theory can help better understand cancer, how a marijuana dispensary license lottery is designed, and the act of mathematical vandalism which liberated algebra from the shackles of arithmetic. There really aren't any other mathematics podcasts out there like Relatively Prime and if the Kickstarter is not funded there really won't be any at all." Read the rest
Researchers have taken a second look at the NSA SKYNET leaks, as well as the GCHQ data-mining problem book first published on Boing Boing, and concluded that the spy agencies have made elementary errors in their machine-learning techniques, which are used to identify candidates for remote assassination by drone. Read the rest
Brian, a graduate student of Applied Mathematics at Columbia University, has a Tumblr called Fouriest Series where he posts his math and physics visualizations. His explanations are clearly written. He also provides the Mathematica code he used to create his animations. From his post about chaos and double pendulums:
Summarized by mathematician Edward Lorenz, "Chaos [is] when the present determines the future, but the approximate present does not approximately determine the future.“ There’s an important distinction to make between a chaotic system and a random system. Given the starting conditions, a chaotic system is entirely deterministic. A random system, on the other hand, is entirely non-deterministic, even when the starting conditions are known. That is, with enough information, the evolution of a chaotic system is entirely predictable, but in a random system there’s no amount of information that would be enough to predict the system’s evolution. The simulations above show two slightly different initial conditions for a double pendulum — an example of a chaotic system. In the left animation both pendulums begin horizontally, and in the right animation the red pendulum begins horizontally and the blue is rotated by 0.1 radians (≈ 5.73°) above the positive x-axis. In both simulations, all of the pendulums begin from rest.
In his weekly address, President Barack Obama this week pledged $4 billion in federal funding for computer science education in schools throughout the nation.
In a gorgeous animation, Malin Christersson shows how much simpler it is to plot out celestial mechanics when you assume that all the bodies in our solar system are in orbit around the sun, rather than the other way around. Read the rest