Chris Taylor
Reputation
16,547
Top tag
Next privilege 20,000 Rep.
Access 'trusted user' tools
 May6 revised A quick way to determine whether a number is prime by hand added 513 characters in body May6 answered A quick way to determine whether a number is prime by hand May2 awarded Announcer Apr29 answered Bifurcation values for logistic map Apr14 awarded Enlightened Apr14 awarded Nice Answer Apr4 answered Is it possible to fit any regression line to a set of data points? Apr3 awarded Notable Question Mar23 awarded Enlightened Mar23 awarded Nice Answer Mar5 comment Game Theory/Bayesian approach to a bluffing game @DanielR Pretty sure (although open to being proved wrong). Player 1's expectation, if he bluffs with probability $q$, is $E = 0.2(2p + (1-p)) + 0.8(q(-p + (1-p)))$ which simplified to $E=0.2(1+p) + 0.8q(1-2p)$. Therefore if $p>0.5$ the second term is negative, so $q=0$ maximizes the expectation. If $p<0.5$ the second term is positive, so $q=1$ maximizes the expectation. This assumes that player 2 never changes their strategy, of course. Mar5 asked Game Theory/Bayesian approach to a bluffing game Mar5 answered Probability Discrepancy in drawing 2 cards from a Deck of 52 Mar4 comment What is equivalence of $(p \vee q) \wedge \neg (p \vee q)$? Let $a = p \vee q$. Then you have $a \wedge ¬ a$. Feb25 awarded Self-Learner Feb21 comment How do you describe your mathematical research in layman's terms? @Arthur Feynman was speaking about theoretical physics, which deals with quarks, gluons, hadrons, bosons and other things that most people aren't familiar with. His book QED succesfully imparted the flavour of quantum electrodynamics and the path integral formalism to me as a sixteen year old. I don't think we should shrug off our responsibility as mathematicians so easily. Feb18 comment Standard Deviation Annualized @kookster Yes, still true (note that with only 30 data points the confidence intervals on your measured standard dev will be quite wide). Feb1 comment integration method This transformation gives better convergence properties for the algorithm described in your code (which is essentially Gaussian quadrature at random locations) but that's not what I understand by the "hit and miss" method (generating random $(x,y)$ pairs and checking to see if they fall into the region being integrated). Feb1 comment integration method This answer from over two and a half years ago suddenly got a flurry of upvotes - anyone know why? Jan31 comment Is this number rational or irrational? @HagenvonEitzen Thanks. This question was actually inspired by this topic on Hacker News.