ashley
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 Dec 16 comment What are a list of helpful boolean identities for solving boolean functions? they all boil down to the 3 operators. nothing drastic escaping your eye. Dec 16 revised Number of triangles formed by $m$ lines Corrected the lower bound on the formula. Dec 16 answered Number of triangles formed by $m$ lines Dec 15 comment Bus stop independent events expected value The buss arrivals seem to be independent from the time the family going to the stop. so, i don't see the point in the first son's argument. Dec 15 comment Bus stop independent events expected value Your first multi-line paragraph is unclear. Dec 15 comment How to define the $0^0$? My vote goes to this ans. as well. Dec 15 comment The following recursive function defines a linear affine difference equation? it is correct now. Dec 15 comment combinatorics problem : How many different choice are there So that exactly 3 candidate get most vote. is it an open vote-- is it known or does it matter who voted for who ? Dec 15 awarded Citizen Patrol Dec 15 revised Probabilities of flight route combinations added 120 characters in body Dec 15 answered Probabilities of flight route combinations Dec 15 comment How to solve $2{x_{1}}+2{x_{2}}+{x_{3}}+{x_{4}}={12}$ +28-20 for (3,6). Should add up to 140. Dec 15 comment Equations Modulo a Prime p are those all squares Dec 15 answered easy activity to train finding pattern ability? Dec 15 comment What is the best base to use? @NikBougalis and which is clear enough. Dec 15 comment Prove $|a+b|+|a-b| \geq |a|+|b|$ Absolute value in complex numbers is the distance from origin-- the signs clearly aren't relevant and magnitudes don't work the way they do in reals. But if still the magnitudes, $(a+/-b)^2+(z_a+/-z_b)^2 + (a-/+b)^2+(z_a-/+z_b)^2 \ge (a^2+z_a^2)+(b^2+z_b^2)$ in any case. Dec 15 awarded Supporter Dec 15 comment How to formally model the “hesitation” in the hat-guessing puzzle? @hengxin "introduced a hat-guessing puzzle" in your first phrase giving all the credit to Luogeng which he doesn't deserve. the problem is interesting enough-- which apparently is one reason it's been around for so long. Dec 15 comment Find $\frac{\partial p}{\partial t}$ in terms of $p$ you're taking the positive root of t. it is p-- the negative one as André Nicolas says. Dec 15 comment How to formally model the “hesitation” in the hat-guessing puzzle? Heard this with 1 black and 2 whites way back in my childhood. it isn't a new puzzle.