The Peg Solitaire Army
is a problem spun off from a classic recreation, and yet another example of the golden ratio turning up where you least expect it. If you want to look at the game more deeply, George Bell's solitaire pages are the ne plus ultra: There's more about the solitaire army (and variants)
, ... [more inside]
shows you how computer algorithms can be represented visually, leading to better understanding of how the algorithms work:
"Have you ever implemented an algorithm based on formal description? It can be hard! Being able to see what your code is doing can boost productivity. Visualization does not supplant the need for tests, but tests are useful primarily for detecting failure and not explaining it. Visualization can also discover unexpected behavior in your implementation, even when the output looks correct."
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
Ever wondered what comes next, and why? The On-Line Encyclopedia of Integer Sequences
has the answers. (Previously.)
If you could use a great big free handbook of discrete math and algorithms, Jörg Arndt's fxtbook
wants to be your friend. Plain text table of contents
to whet your appetite.
Who can name the bigger number?
I guarantee you will lose to the Busy Beavers. (No, infinity is not allowed, the bigger infinity is a different game.
) The author also debunks
in very simple terms the recent story that quantum computers perform calculations without being turned on
. My first post and disclaimer: I know the author from our mutual field of quantum information