March 2012
rigatonideology asked: The mega millions jackpot is large enough that buying a lottery ticket is a positive-EV gamble. Go for it I say. Buy as many as you can!
iodizedsalt asked: "I am very surprised at the poster of that recent hilarious lottery image, who is also a self-proclaimed mathematical lover, is going to now buy the ticket which is forged as a tax to the mathematically illiterate." While it's true you won't win, it does have other inherent values. This article is particularly interesting on that level on Forbes called "Jackpot!...
always-climbing asked: "Also…for the record…I am going to buy a ticket for the MegaMillions drawing. Yes, it’s a long shot but you can’t win if you don’t play." I am very surprised at the poster of that recent hilarious lottery image, who is also a self-proclaimed mathematical lover, is going to now buy the ticket which is forged as a tax to the mathematically illiterate....
nothingbadhappened asked: Dating supermodels seems like more of a game theory problem than the strict exercise in probability that is the Mega Millions. Those statistics you've presented have some embedded assumptions, namely that every person (or male person perhaps) has an equal chance at having a supermodel pair with them. I submit that there are some men that all supermodels will find little utility with. On the...
2 tags
Tau Functions and Virasoro Symmetries for... →
arxiv-nlin:
Authors: Chao-Zhong Wu
For each Drinfeld-Sokolov integrable hierarchy associated to affine Kac-Moody algebra, we obtain a uniform construction of tau function by using tau-symmetric Hamiltonian densities, moreover, we represent its Virasoro symmetries as linear/nonlinear actions on the tau function. The relations between the tau function constructed in this paper and those defined...
4 tags
The perturbed Bessel equation, I. A Duality... →
arxiv-nlin:
Authors: V. P. Gurarii, D. W. H. Gillam
The Euler-Gauss linear transformation formula for the hypergeometric function was extended by Goursat for the case of logarithmic singularities. By replacing the perturbed Bessel differential equation by a monodromic functional equation, and studying this equation separately from the differential equation by an appropriate Laplace-Borel...
intothecontinuum:
Mathematica code:
f[x_, y_] := {Log[Sqrt[(x)^2 + (y)^2]], ArcTan[x, y]} ListAnimate[ Table[ ImageTransformation[ ImageResize[ImageTake[ImageCrop[ DensityPlot[ Sin[104.02*Abs[(x + I y)^2]], {x, -4.26, 4.26}, {y, -4.26, 4.26}, PlotPoints -> 27, Mesh -> False, Frame -> False, ColorFunction -> Hue, ImageSize -> 834], ...
Inertial Frame Independent Forcing for Discrete... →
arxiv-nlin:
Authors: Kannan N. Premnath, Sanjoy Banerjee
We present a systematic derivation of a model based on the central moment lattice Boltzmann equation that rigorously maintains Galilean invariance of forces to simulate inertial frame independent flow fields. In this regard, the central moments, i.e. moments shifted by the local fluid velocity, of the discrete source terms of the lattice...
bigshittyatheist asked: I am so bad at math, but I love it so much! It's just beautiful with a bizarre duality, being simple and yet so complex. So I had to settle for dating a physics major and living my math life vicariously through him! But ah! your blog makes me long for a more analytical mind.
The Algorithm Thought Police
un:
mwatz:
Update: Jesse Rosenberg from Nervous System has posted a response on their blog, essentially arguing a more purist approach. It’s recommended reading as a counterpoint to my thoughts below, particularly since Jesse is an actual algorithm master whereas I am just a self-taught hack with an unconventional sense of color.
Earlier today I made an off-hand quip on Twitter in response to...
Visual Hallucinations and Form Constants
intothecontinuum:
Whether or not you know about or care to use the mathematical coordinate systems described in the last post, it seems that our eyes and brains already make use of them when seeing and hallucinating. How this is the case will be explained here in some detail. Of course, our senses are intricately correlated with the dynamics of our brains in ways so complex that we can barely...
Pattern master wins million-dollar mathematics... →
cab1729:
Endre Szemerédi has won the Abel prize – he proved that surprisingly ordered patterns can arise from seemingly random actions
:O !!!!
Misconceptions about the Golden Ratio →
cab1729:
why everything you think you know about applications of this number is wrong
(via @pickover)
The Mathematician In The Asylum - Providentia →
3 tags
