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 Nov 20 answered What is wrong with my algorithm (finding if the origin is within a triangle's interior)? Nov 15 comment Percentage of primes among the natural numbers @MartinSleziak Moose can un-accept one answer and accept a different one at any time, should he or she so desire. Nov 15 comment Problem on Divide-and-Conquer Relation Although you say "Each player who loses in the first round gets nothing", the problem says "a player who loses in the first round gets $100". Nov 15 comment Counting walks on colored graphs Can you explain your$3*2^{k−1}$walks on k 3-colored vertices formula? At least at k=1 and k=2 the numbers appear to be twice as large; e.g {br, bg, gr, gb, rg, rb} at k=1, and {gbg, grg, gbr, grb, etc} at k=2. Nov 14 comment Algorithms and Simulation Were you given a definition of "optimal"? Or any limitations? (I.e. for (b) it looks like$\sigma^2=1$should be optimal for the obvious def of optimal) Nov 11 answered Proving a Diophantine equation has no solutions Oct 12 comment Find the minimum number of links to remove from digraph to make it acyclic An acyclic graph contains no cycles at all, rather than merely a vertex that's not in a cycle. Oct 11 comment Powers as a complete residue system modulo$p$? Also see MSE question re the number of equivalence classes of (in notation of present question)$k^a\mod p$Oct 10 comment How to express an irrational as a continued fraction in computer with high precision? Rather than "up to 16 bits" being not quite right, it's totally wrong. Typical IEEE754 64-bit double-precision numbers use effectively 53 bits for mantissa, giving ~ 16 decimal digits accuracy. (15.95... = 53 * ln(2)/ln(10).) Oct 3 answered Create a new pseudo-random number based on a seed, using simple formulae Sep 19 comment Maximizing growth rate in betting on multiple events Question 1: Suppose$b_{134}$is the the fraction of stake$s$that is bet on$\{1,3,4\}$. Suppose$t=b_{134}*s/3$. If events 1 and 3 win and event 4 loses, is the payoff equal to$(1+c_1+1+c_3)*t$(that is, the amount$s*b_i$spreads evenly across the elements of bet #$i$) or is it some other value? Question 2: Do all events in a set have to win to get a payoff? Question 3: Since all bets are simultaneous, there appears to be no "long run" to be concerned about, and no reason to act other than Charles suggested in his answer, right?. Sep 19 comment Maximizing growth rate in betting on multiple events Ok, let an$i$be given. What events are elements of bet #$i$? Is the amount$b_i$spread evenly across the elements of bet #$i$? Does bet #$i$get paid off and its result reported to you before you make bet #$i+1$? Sep 19 awarded Commentator Sep 19 comment Maximizing growth rate in betting on multiple events Is one allowed to bet on the same alternative multiple times? Is the order of bet payoffs specified? Is$b_i$an amount bet on event$i$, or on some subset of the events? Sep 19 answered Prove that$2x^2 - 3xy + 2y^2 \geq 0\$ Sep 17 revised The largest possible prime gap? Note re a−4153 and a+3313 Sep 17 answered One person's long number sequence: is it always pseudo random? Sep 17 answered The largest possible prime gap? Sep 16 revised Finding the/a point within an irregular polygon which is furthest from polygon's line segments? added cgal link Sep 15 revised Finding the/a point within an irregular polygon which is furthest from polygon's line segments? added 219 characters in body