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 May 26 comment General solution to a system of non linear equations with a specific pattern Have you tried solving less complex systems, for example all these systems without the first equation ($a^2 + b^2 + ...$), or just the first two equations? or where $x^i$ all equal 0? Those kinds of simplifications may (or may not) be easier to solve and may give hints on how to solve the bigger problems. May 14 awarded Excavator May 14 revised Why the chi-squared statistic follows chi-squared distribution? removed error May 11 awarded Nice Question May 8 comment How many ways can $133$ be written as sum of only $1s$ and $2s$ Why isn't the answer about integer partitions $\leq 2$ rather than tuples with entries $\leq 2$? Apr 27 revised Problem in deducing the number of onto functions fixed grammar, tag Apr 27 reviewed Approve finding the probability to get a diploma Apr 23 comment A fun problem by Arnold using the Poincaré recurrence theorem @rhetoricalphysicist: OK, I see the point now. Can you comment a hint as to how to use Poincare or even give an answer then? Apr 23 comment A fun problem by Arnold using the Poincaré recurrence theorem Why Poincare's recurrence thorem? Use Benford's law instead (hattip Travis). Mar 23 comment Where did mathematicians learn how to do truth tables? Are you saying there is evidence that some Greek philosophers had the concept of truth functions (functions whose inputs and outputs are something like true and false)_and_ graphical representation of truth tables (a tabular representation)? I don't doubt the first, but I do the latter. Also, the question I have is about the intellectual provenance of the truth-table display in modern mathematics, not the multiple possibly non-influencing reinventions across the world. Mar 16 comment Does the square or the circle have the greater perimeter? A surprisingly hard problem for high schoolers @user86418 the derivation after $x+1=2y$ is elementary. Getting to that point is also elementary but missing; just say where it comes from (why +1? Why 2y?) Mar 16 comment Does the square or the circle have the greater perimeter? A surprisingly hard problem for high schoolers @user86418: nice... that's the super simple start. But you should add that to the answer to make it complete (i.e. where $x+1 = 2y$ comes from, both $x+1$ and $2y$ equal a side of the square). Mar 15 comment Does the square or the circle have the greater perimeter? A surprisingly hard problem for high schoolers @user86418 I'm trying to see how 3/4/5 comes in a flash rather than through hard work. One flash would be as you say, to consider the center of the circle, rather than the square, and the sides of that triangle. But then how does one figure the units. Even if 5 for the radius, I do not see any flash that leads to 3 and 4 for the legs except blind guessing. Where does $x+1 = 2y$ come from, your very first step, without already knowing it's a 3/4/5 triangle? Mar 15 comment Does the square or the circle have the greater perimeter? A surprisingly hard problem for high schoolers 'Notice the... (3,4,5) triangle'? Is there a quick observation that leads to that? Like the others, that seems to be an observation after all the calculations for the solution have been done. Mar 7 comment Odd number of students in odd number of classes From the intro, there's no way to distinguish girls from boys so by symmetry, I don't see how pt a can possibly be true. Are you leaving out something like $b = \sum b_i > g = \sum g_i$? Feb 13 comment Prove and element must be the identity element? In other words, the theorem is that in a group if there is an element a that is the identity for any particular element, then it's the identity element for all elements. Why? There's the symbolic proof, which may suffice, but do you want to know the meaning? Feb 9 comment Where did mathematicians learn how to do truth tables? Lost: 1) you should edit your answer to paraphrase or quote the relevant text in those links so we have an idea of what you're talking about (answers on SO are expected to be self-contained). 2) Saying that Wittgenstein met Turing is little evidence of an intellectual connection, especially with respect to what essentially boils down to notation. Feb 9 comment Where did mathematicians learn how to do truth tables? Edit your answer instead of trying to comment. Feb 9 comment Where did mathematicians learn how to do truth tables? Can you give the details of your comment? Jan 19 comment What do mathematicians mean by “equipped” Which is to say that 'equipped' is metaphorical language, not a technical term.