Ricky Demer
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 3h comment Plane intersecting all the lines @Travis : $\:$ One just needs the Baire category theorem, not measure theory. $\;\;\;\;$ 19h comment Always transcendental? $a + b e^{-x} - f(x) = 0$ ... or, for that matter, any piecewise constant function. $\;$ 20h comment I can use MVT on $\lim _{_{x\rightarrow \infty }}\int _0^x\:e^{t^2}dt$? ... and it so happens that the limits of $x$ times them are also equal. $\:$ However, I don't see any reason to believe that happens in the other case. $\;\;\;\;$ 20h comment Drawing n intervals uniformly randomly, probability that at least one interval overlaps with all others Trying numbers, I immediately get that $\: n=0 \:$ and $\: n=1 \:$ are counterexamples to your claim that the probability the OP is asking about "turns out to be always 2/3." $\;\;\;\;$ 20h comment I can use MVT on $\lim _{_{x\rightarrow \infty }}\int _0^x\:e^{t^2}dt$? Their limits are equal; they are usually not equal. $\;\;\;\;$ Consider $\: x\cdot \frac1x \:$ and $\: x\cdot \frac1{2\cdot x} \;$. $\;\;\;\;\;\;\;\;$ 21h comment I can use MVT on $\lim _{_{x\rightarrow \infty }}\int _0^x\:e^{t^2}dt$? Oh, I was also missing something else. $\:$ You used $\hspace{.04 in}f(x)$ instead of $\hspace{.04 in}f(c)$ near the beginning of your post. $\;\;\;\;$ 21h comment Implications of Inner product vs Norm vs Metric Space Your inner product lines still have the problem that Travis pointed out. $\;$ 21h comment I can use MVT on $\lim _{_{x\rightarrow \infty }}\int _0^x\:e^{t^2}dt$? What do you get for $c$ when you "apply the same procedure"? $\;$ 1d comment Drawing n intervals uniformly randomly, probability that at least one interval overlaps with all others Should "one" be replaced with "at least one" or "exactly one" or "a particular"? $\;$ 1d comment Hilbert Space is not locally compact. "contradiction. Suppose" $\: \mapsto \:$ "contradiction, suppose" $\;\;\;\;$ 1d revised Proof that polynom $P:\mathbb{R}^n\to\mathbb{R}$ is continuous removed proof-theory tag 1d revised What should I learn to increase my skill to find proof? removed proof-theory tag Apr15 comment Is the Banach-Tarski paradox realistic? Why is Volume not an invariant? @MarcvanLeeuwen : $\:$ Yes. $\;\;\;\;$ Apr13 comment What is the next perfect square of the form 14444… in decimal notation? "it is sufficient to consider" $\: 0\leq x\leq 5000 \:$, $\:$ since $\: x\mapsto x^2 \:$ is an even function. $\hspace{1.5 in}$ Apr10 comment If Riemann integrable, then it has finite number of discontinuities "discontinuous a" $\: \mapsto \:$ "discontinuous on a" $\;\;\;\;$ Apr9 comment Do commuting matrices share the same eigenvectors? @celtschk : $\;\;\;$ For $\: n = 0 \:$ those matrices clearly are the identity matrix. $\;\;\;\;\;\;\;$ Apr7 comment Can Three Equilateral Triangles with Sidelength $s$ Cover A Unit Square? Erich's Packing Center gives the same configuration as Ross Millikan described. $\;$ Apr5 comment the limit of $\ln x$ as $x$ approaches $0-$ No. ${}{}{}{}\;$ Apr5 answered the limit of $\ln x$ as $x$ approaches $0-$ Apr4 comment Diagonalizing a power set $f(x)$ would not necessarily have a domain. $\:$ (Also, "constructing a set $T$ not present $\hspace{1.31 in}$ in the domain of" $\hspace{.02 in}f$ is not relevant here. $\;\;\;\;$