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"I would never die for my beliefs because I might be wrong."

-- Bertrand Russell


Oct
9
awarded  Taxonomist
Oct
7
comment Do mathematicians, in the end, always agree?
Actually, scientists disagreeing about something is the tell-tale sign that you are at the frontier of research. It means that there's still something to be discovered and it does occur in mathematics too, it's just that you haven't reached those outer boundaries yet because mathematics is one of the vastest subjects there is.
Oct
4
comment how is the signum function neither continuous nor discontinuous at $x=0$.
The function is undefined at $x=0$, maybe your book requires the function to at least be defined at the point to be able to even speak about continuity/discontinuity?
Sep
30
awarded  Explainer
Sep
24
awarded  Autobiographer
Sep
20
comment When is the product $(1+1/3)\cdots(1+1/n)$ equal to an integer?
Nope, the correct answer is B. Hint, try to write every factor as one fraction.
Sep
17
comment Why do both trig functions have the same Macluarin series?
If the degree version of sine is different from the radian version then obviously, $\lim_{x\to 0} \sin(x)/x$ is different in degrees. But this means the derivative is different as well.
Sep
17
comment Why do both trig functions have the same Macluarin series?
Please clarify, I'm not sure what you're talking about.
Aug
30
comment How to calculate power of a number with decimal exponent programatically?
Claude's proposal involves more computation, but has the advantage of needing less storage space as you need very few coefficients compared to values in a log table.
Aug
30
comment How to calculate power of a number with decimal exponent programatically?
@When you say two spline functions, you mean one for the log and one for its inverse, right? I'm willing to write out an answer involving spline functions if nobody does it before me. I'll be AFK for a couple of weeks though.
Aug
30
revised How to calculate power of a number with decimal exponent programatically?
added 1 character in body
Aug
29
comment How to calculate power of a number with decimal exponent programatically?
True that is largely sufficient, I'll modify that!
Aug
29
answered How to calculate power of a number with decimal exponent programatically?
Aug
29
comment How to calculate power of a number with decimal exponent programatically?
However, it could be efficient to use a logarithm table in your computer program if calling values from the memory is "cheaper" than computing. That way, your operations would reduce to multiplications and looking up numbers in tables.
Aug
25
comment Differential equation $x\dfrac{dy}{dx}-xy=y^2$
It is a Bernoulli type equation. Introduce a new variable $z=y^{-1}$ and divide your equation by $y^2$.
Aug
24
comment Vectors-Can anyone explain me the concept of sense in vectors?
@Najib Idrissi: We make this distinction in Dutch (and I suppose German) as well. ("zin" and "richting").
Aug
19
comment Mathematical literature to lose yourself in
Nice book by Edwards, even though it's a secundary source. :)
Aug
17
comment how to find the equation of this set of points?
I'm unconvinced by your arguments without further information about the origin of the data and possible noise on them.
Aug
17
comment how to find the equation of this set of points?
$z=11(x-1)$ and $y=(x+2)\text{mod}10$.
Aug
14
comment Which languages are preferable to study for a mathematician?
Vladimir Arnold, Dmitri Anosov, Eugene Dynkin, Nikolai Efimov, Aleksandr Khinchin, Alexander Friedmann, Aleksandr Lyapunov, Andrey Markov, Ruslan Stratonovich, Yakov Sinai, ...