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Jul
23
comment Why there is no sign of logic symbols in mathematical texts?
Actually, you are joking right? I was falling for it, right?
Jul
23
comment Why there is no sign of logic symbols in mathematical texts?
@MKR The “logical” version of you saying you washed your hand doesn’t make any sense to me – even when knowing it should express you having washed your hands. Saying “$∃t_1 \colon f(t_1) → ∞$” doesn’t make any sense. Also I think that should rather read “$∃t_2 > t_1$” instead of “$∃t_2 ≥ 0$” (If $t_2$ should be the time when you wash your hands). Also there’s more and less to washing hands that getting rid of bacteria. Bottomline: The second version is definitely not more elegant than the first one, in fact it’s absolutely awful.
Jul
20
revised Showing $\dim T_0 ℝ^n = n$ using a derivation definition for the tangent space.
update, typo fixed
Jul
19
accepted Are there noncontinuous derivations $C^1(X) → ℝ$?
Jul
19
revised Are there noncontinuous derivations $C^1(X) → ℝ$?
edited body
Jul
19
revised Are there noncontinuous derivations $C^1(X) → ℝ$?
added 212 characters in body
Jul
19
revised Are there noncontinuous derivations $C^1(X) → ℝ$?
added 212 characters in body
Jul
19
asked Are there noncontinuous derivations $C^1(X) → ℝ$?
Jul
19
comment Showing $\dim T_0 ℝ^n = n$ using a derivation definition for the tangent space.
Found out: If one only considers continuous derivations, it follows from Stone–Weierstraß without any further analysis.
Jul
14
comment In how many ways can a natural number be written as a sum of $2$ natural numbers?
I don’t think it’s a good idea to answer this question without letting the questioner think about it a bit more.
Jul
5
accepted Characterization of the space of integrable functions stable under multiplication
Jul
5
asked Characterization of the space of integrable functions stable under multiplication
Jun
29
comment A good book on humankind’s understanding of primes?
Thank you for your recommendation. The book seems to be on freshman level, though, and only covers the Riemann hypothesis as you already stated. Anyway, thanks for bringing it up!
Jun
23
revised A good book on humankind’s understanding of primes?
deleted 1 character in body; edited title
Jun
21
asked A good book on humankind’s understanding of primes?
Jun
19
revised How to interpret material conditional and explain it to freshmen?
reworded the build-up to the questions
Jun
14
accepted Justifying the integral identity “$\int \mathrm{e}^{cx} \sin bx\, \mathrm{d}x = \frac{\mathrm{e}^{cx}}{b^2 + c^2}(c \sin bx - b \cos bx)$”
Jun
14
asked Justifying the integral identity “$\int \mathrm{e}^{cx} \sin bx\, \mathrm{d}x = \frac{\mathrm{e}^{cx}}{b^2 + c^2}(c \sin bx - b \cos bx)$”
Jun
7
revised Remember the implicit function theorem
edited body
Jun
2
awarded  Notable Question