cobaltduck
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 Jul20 comment Mathematical writing: why should we not use the phrase “we have that”? If ever there was a case for being able to cross-list questions on multiple SEs, this is it. I think the English SE community would have as much to input about this as Math SE, and each would benefit from the other's insights. Jun20 comment How to solve a system of 2 equations in this form This may also help you get started: en.wikipedia.org/wiki/Conic_section#Intersecting_two_conics Jun20 comment intersection of two graph To put it simply, the graph of $f$ is a V shape, and each of the possible answers is a line. Choices A and B would look like $\underline{V}$, just with different amounts of space between the V and the underline, and choices C and D would look like V /, again just with different spacing between the V and the /. Only in choice E will the slash cut through the vee. May19 comment Why is 987654321/123456789 = 8.0000000729? Unrelated, but ever notice that Sqrt(9.87654321) approximates pi? The number system is full of this kind of stuff. May12 comment How to represent the floor function using mathematical notation? What do you mean by that big capital pi with all those other symbols around it? Can you describe that "without words" please? In your accepted answer, what does arctan mean? My point is, all notation was invented to describe some intellectual phenomenon, which may in turn have been based on some earlier idea, etc. until the whole thing ultimately boils down to cavemen telling how many mastadon had been successfully hunted by holding up fingers. May6 awarded Caucus Apr2 comment Is 1+1 =2 a theorem? The fact that I can describe a system (such as the integers modulo 2) where 1 + 1 = 0, would seem to suggest your statement cannot be a theorem. Mar21 comment Is there such a thing as proof by example (not counter example) As a teacher of mine once said: beware Merten's Conjecture! en.wikipedia.org/wiki/Mertens_conjecture Mar7 comment What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) Or, more generally, that the ultimate result of this digital summing is the same as the remainder when dividing by 9. Jan23 comment “How I wish I could calculate pi” analogs… Citation needed? Dec31 comment How to answer a student objection to the use of “of” in pronouncing f(x)? joriki "would have told the student to keep up the critical thinking." However Ben Crowell responds "it's time to grow up to a more mature intellectual level." Very interesting. Aug2 awarded Yearling Jul8 answered Big List of Fun Math Books Jun22 comment Tuple definition Have you checked the old stand-by for definitions? en.wikipedia.org/wiki/Tuple Jan18 answered Mathematical toys? Nov16 comment Functions over $R$ such that $f(xy) = f(x)f(y)$ There is a term for what you are asking about, 'totally multiplicative function': en.wikipedia.org/wiki/Completely_multiplicative_function Oct18 accepted Probability that Scouting ashes continue to circulate? Oct17 comment Probability that Scouting ashes continue to circulate? So if I am understanding you, a fire may have on the order $10^{26}$ atoms of ash at the end, and I remove about $10^{24}$ atoms. If I model this as a binomial with $n = 10^{24}$ and $p = .01$, then my expected number of atoms from the original fire is $10^{22}$. After two fires, this goes down to $10^{20}$ and so on, until by fire number 12, my expected value goes below $10^{0}$. Makes sense, if my interpretation is correct? Oct17 awarded Commentator Oct17 revised Probability that Scouting ashes continue to circulate? adding clarification of Kolmogorov