Mr. F
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 Mar 14 awarded Yearling Jan 27 revised Examples of non-Riemann integrable functions that appear “in nature”? added 86 characters in body Jan 27 revised Examples of non-Riemann integrable functions that appear “in nature”? added 86 characters in body Jan 27 answered Examples of non-Riemann integrable functions that appear “in nature”? Jan 14 comment Splitting a sandwich and not feeling deceived Thus, anyone cutting pieces has an incentive to make sure the worst off piece is at least good enough that whoever randomly draws it will decide to keep it, so that everyone gets to keep theirs too. My guess is this leads to some Nash equilibrium kind of thing where making equal cuts leads to the highest expected value. Jan 14 comment Splitting a sandwich and not feeling deceived I wonder if anyone has ever looked into a Dictator Game-based stochastic variation. In experiments with things like Dictator Game, people tend to reject unfair offers, even if it makes them uniformly worse off. That is, they are usually willing to pay some "fairness premium" and simply deny any form of splitting the resources unless they are equal to or better than all of the other players. If we assume humans will use this heuristic, then we could take any N pieces of a divided sandwich and randomly assign them to people in a Dictator Game, where the "worst-off" person is the dictator. Jan 9 comment Pedagogy: How to cure students of the “law of universal linearity”? Another point is that Greek symbols still "feel" "mathy" and are seen as "expected math symbols" even by young students. So using Greek symbols might actually be counter-productive: to the extent that a student has anxiety about what a symbol is allowed to mean and whether it has some special meaning, using Greek letters over more "regular" things like x and y might only make the anxiety worse. But using a symbol like a tree, fire hydrant, tulip, pineapple, or anything that's totally not at all possibly confusable with "official mathy type stuff" could have a better chance of working. Jan 9 awarded Good Answer Jan 7 awarded Nice Answer Jan 7 answered Pedagogy: How to cure students of the “law of universal linearity”? Dec 3 revised Random variables tending to 0 a.s. but with $\mathbb{E}(sup_n|X_n|) = \infty$ added 580 characters in body Dec 3 revised Random variables tending to 0 a.s. but with $\mathbb{E}(sup_n|X_n|) = \infty$ deleted 2 characters in body Dec 3 revised Random variables tending to 0 a.s. but with $\mathbb{E}(sup_n|X_n|) = \infty$ added 1 characters in body Dec 3 revised Random variables tending to 0 a.s. but with $\mathbb{E}(sup_n|X_n|) = \infty$ added 1 characters in body Dec 3 answered Random variables tending to 0 a.s. but with $\mathbb{E}(sup_n|X_n|) = \infty$ Nov 21 comment How to study math to really understand it and have a healthy lifestyle with free time? Can you elaborate? Nov 5 comment Is it worth pursuing a statistics minor? I want to go to pure math grad school. Also, all else equal, extra time to absolutely destroy the Math GRE subject test is worth much more than the minor. So if classes for the minor would prevent you from utterly crushing the Math GRE, don't downweight that -- it could be and important consideration. (This is conditional on the desire to go to math grad school. The stats minor is probably more valuable unconditionally). Check this link for some other considerations. Nov 5 comment Is it worth pursuing a statistics minor? I want to go to pure math grad school. Another question: do you attend an undergraduate school where you feel the school's reputation for math majors is good enough to propel you into the pure math grad schools of your choice? If your undergrad school is extremely strong, then it's probably fine to spend extra classes on more well-roundedness (such as in stats). If the best PhD programs will cast any amount of skepticism on your undergrad math program's rigor, you'll be better served just cramming in as many advanced math classes as you can to prove you're good enough at it to be admitted. Nov 5 revised Is it worth pursuing a statistics minor? I want to go to pure math grad school. added 1196 characters in body Nov 5 answered Is it worth pursuing a statistics minor? I want to go to pure math grad school.