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 Aug20 asked Lower bound on the rank of the elliptic curve $y^{2} = x^{3} + A x^{2} + B x$ Aug14 comment Could you explain why $\frac{d}{dx} e^x = e^x$ “intuitively”? "The more bacteria exist in a colony, the faster the colony will grow" is false. Competition for resources adds a negating term which depends on the concentration of bacteria: $dB/dt = B - f(B)$. This makes all of the difference. Jul24 comment Is this proof about $\pi$ is irrational correct? This is Niven's proof. The integral (1) should be from $0$ to $\pi$. Also, the word is "contradicts" not "contracted". Jul17 comment How to convince a math teacher of this simple and obvious fact? A proof by contradiction aims to develop an absurdity. Jul16 awarded Good Answer Jul16 awarded Mortarboard Jul16 awarded Nice Answer Jul16 answered How to convince a math teacher of this simple and obvious fact? Jul6 awarded Good Answer Jun29 comment Bott periodicity and homotopy groups of spheres It depends on the values of $k$ and $n$. It is trivial to compute the groups for $0 \leq k \leq n$, but rather non-trivial for $k > n$. Jun27 revised Proof for Sum of Sigma Function added 2 characters in body Jun24 awarded Nice Question Jun13 comment Proof for Sum of Sigma Function You beat me to the punch by 1 min! Jun13 answered Proof for Sum of Sigma Function May22 comment A Question about Doctoral Theses in Mathematics I am sorry if my question conveys a different tone, but I really am being sincere. May22 comment A Question about Doctoral Theses in Mathematics Thank you for your comment. Again, I'm not trying to win an argument or compare myself to great mathematicians; I am simply trying to understand (from an academic point of view) what is acceptable as a thesis. May22 awarded Popular Question May22 revised A Question about Doctoral Theses in Mathematics deleted 397 characters in body May22 comment A Question about Doctoral Theses in Mathematics Thank you for the answer. This situation is not a dispute, nor am I identifying any party. My aim is to simply try to answer an important question regarding theses, so that I can better understand what is acceptable. May22 revised A Question about Doctoral Theses in Mathematics deleted 3 characters in body