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 Civic Duty
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Aug
14
comment Can a logarithm have a function as a base?
@Mehrdad as far as I know, the most common definition of the logarithmic function uses real numbers for the base and the argument, so any other mathematical entity you substitute to those numbers needs an explicit definition that bridges the gap between the base definition and your new use of the log function. This to be pedantically correct, but in turn, that's what doing mathematics means ;)
Aug
14
comment Can a logarithm have a function as a base?
@Mehrdad I would say it's some kind of notation abuse: understandable, reasonable but formally wrong.
Jul
19
comment How many options are there for creating a number from the digits 123454321?
you should add this to Wyctus anwser
Jun
27
awarded  Civic Duty
May
22
comment Is it possible to show that a particular theorem or its negation is provable, without knowing which of the two is true?
Maybe what he's referring to those theorems for which we don't know a proof, like P=NP: is it even provable?
May
21
comment How to appreciate Fermat's last theorem?
@bill nevertheless, it's a perfect example of the true importance of hard problem proofs: new techniques are developed, which are more important on their own than the theorem for which they were invented
May
16
revised (Soft) What maths should I concentrate on at 16-18 years old?
formatting improvements
May
16
suggested approved edit on (Soft) What maths should I concentrate on at 16-18 years old?
Apr
11
suggested rejected edit on If a space $X$ has no isolated points, then nor does any dense subset of $X$.
Apr
11
revised Fun, interesting, slightly advanced books
improved formatting
Apr
11
suggested approved edit on Fun, interesting, slightly advanced books
Apr
2
comment Finding the area under curve without using rectangles
@sayan chattopadhyay actually Simpson's method works with every integrable function, non only with parabolas
Mar
16
comment How can I find $\lim_{x \to 0}\left(\frac{e^{2\sin x}-1}{x}\right)$ without l'Hopital's Rule?
Yes, probably, I'm reading from my phone so the MathJax is not formatted, but from what I see is the same
Mar
16
comment How can I find $\lim_{x \to 0}\left(\frac{e^{2\sin x}-1}{x}\right)$ without l'Hopital's Rule?
It's a widely known limit @konstantinos, the proof I know is based on the proof of a similar limit with the logarithmic function, that in turn it's based on the definition of $e$ as the limit of $\left(1+x\right)^\frac{1}{x}$ when $x\to 0$
Mar
2
comment How long does it take the average voter to vote?
+1 " you could afford each person to take 24 minutes": this is a much more intuitive interpretation, and I think more correct too
Jan
8
comment Order of infinitesimal of $\frac{\cos x}{x}$b for $x \to \infty$
Sorry I thought it was clear: it's just the number $\alpha$
Jan
8
asked Order of infinitesimal of $\frac{\cos x}{x}$b for $x \to \infty$
Nov
26
revised Notation for Derivatives with Respect to Time
added 1 character in body
Nov
17
asked Is this identity correct?
Nov
8
comment Domain of a solution of an ODE
Well, it isn't, it's a series of segments goo.gl/2iKqlP. However check my answer edit.