484 reputation
310
bio website dfan.org/blog
location Boston, MA
age
visits member for 3 years, 5 months
seen 9 hours ago

Game programmer and designer (PC and consoles) since 1991, in C at first and then C++. I also use Python seriously and other languages semi-seriously (currently doing some hobby stuff in Clojure). Emacs zealot.

Games include Ultima Underworld, System Shock, Terra Nova: Strike Force Centauri, Frequency, Amplitude, Eyetoy: Antigrav, Guitar Hero (plus 2), Rock Band (plus 2, Beatles, 3).


1d
comment Expected deviation of a coin that obeys the gambler's fallacy
Calculation "by hand" (with a Python program) indicates that for $n \ge 3$, the variance is $\frac{n}{12}$ so the standard deviation is $\frac{1}{2\sqrt3}\sqrt n$. If I'm able to prove it (induction seems promising), I'll add the proof as an answer.
1d
awarded  Explainer
Sep
24
awarded  Autobiographer
Aug
27
comment A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that all balls are white.
If the book calls it "Baye's Theorem", I would not trust the book.
Aug
5
revised Refining my knowledge of the imaginary number
Corrected Chris Culter's anme
Jun
4
comment 'Obvious' theorems that are actually false
You order the rationals $q_1, q_2, \ldots, q_n, \ldots$ and place an interval of $(\frac \epsilon 2)^n$ around each one, choosing $\epsilon$ to be less than $1$.
May
23
comment Are mathematical articles on Wikipedia reliable?
I was curious whether Nature had a response to the response, and they did, here and here. (I have no contribution to make regarding which side is in the right; I'm just presenting the documents for others who are curious).
May
1
comment Examples of mathematical results discovered “late”
It took a surprisingly long time (17th century) for even very basic concepts of probability theory to be developed, considering that those concepts would have been immensely valuable in real life, given that gambling has been popular forever.
Apr
17
comment Is there any shorthand notation for linear interpolation?
pic also accepts a of the way between p and q, which I suppose demonstrates the lack of a common notation.
Apr
17
comment Is there any shorthand notation for linear interpolation?
@MJD Thanks. After a little searching, it looks like the pic notation is a<p,q> and metafont's is a[p,q], so they do have the same general form.
Apr
17
awarded  Student
Apr
17
awarded  Tumbleweed
Apr
15
answered How can I learn Real Analysis in 10 days?
Apr
10
asked Is there any shorthand notation for linear interpolation?
Apr
7
answered probability: when to multiply when to add?
Apr
6
awarded  Yearling
Apr
6
revised Use Lagrange Multipliers to find the absolute extrema
Error in explanation
Apr
6
suggested suggested edit on Use Lagrange Multipliers to find the absolute extrema
Apr
5
answered higher partial derivative
Apr
4
answered Unable to understand “something out of something”