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 Dec15 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. Dec15 comment 3 Homework Question. Counting, Induction and Pigeonhole principle Intuition-- for Q2: Try to come up with an even number that doesn't have 2 as its divisor. For Q7: try a placement with $n_{i}-1$ objects at each $n_{i}$. Dec15 comment Prove $|a+b|+|a-b| \geq |a|+|b|$ @Potato: that's out of context and irrelevant here. Dec15 answered What is the best base to use? Dec14 revised How can I calculate the number of models in which a logical sentence is true? added 110 characters in body Dec14 comment How can I calculate the number of models in which a logical sentence is true? Take the postfix traversal. It evaluates the tree for expression more efficiently, looks much better in the code and is an old structure-- very well covered in literature. I've put the first, "start w.the leaves and working it up to the root" rather as a comment for explaining the structure. Dec14 comment Three fair six-sided dice are tossed and the numbers showing on top are recorded. (2) and (3) seem to be continuation of (1) so check that out with your source what exactly is being asked. Dec14 comment Prove $|a+b|+|a-b| \geq |a|+|b|$ Yw. glad that helps. Dec14 answered Prove $|a+b|+|a-b| \geq |a|+|b|$ Dec14 answered How can I calculate the number of models in which a logical sentence is true? Dec14 answered How to solve $2{x_{1}}+2{x_{2}}+{x_{3}}+{x_{4}}={12}$ Dec14 comment What is Validity and Satisfiability in a propositional statement? The expression in your Q is satisfiable but not valid. It returns true for (p, q, r)=(true, true, true) and false for (true, false, true). Dec14 comment What is Validity and Satisfiability in a propositional statement? The expression (p .AND. q) is satisfiable-- it returns true whenever both p and q are true. On the other hand, (p .OR. .NOT.p) is valid, it always is true regardless of the value of p. Dec14 answered What is Validity and Satisfiability in a propositional statement? Dec14 answered On Multiplication,Division,Addition,Subtraction Dec13 comment Number of ways to choose k people from an alphabetized list of n people, with “gap” g Yw, Glad it helped. I don't think there is. It is a recursive solution. The algorithm would be the solution "formula" itself. There is a lengthy closed form for its count though and I haven't figured it-- yet. Dec13 comment Number of integer solutions You have infinite number of solutions whenever you have a solution with non-0 terms on the LHS. Dec13 answered Number of ways to choose k people from an alphabetized list of n people, with “gap” g Dec13 comment Calculating the aspect ratio of the rotated rectangle on the image the credit card itself can be a reference. those cards come in standard size and thus ratio. Dec12 answered Draw a square around a point.