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Jun
22
revised How to prove rigorously $L[\delta(t-a)] = e^{-as}$?
added 117 characters in body
Jun
22
asked How to prove rigorously $L[\delta(t-a)] = e^{-as}$?
Jun
18
asked Find $f(1)$ given the following ($f$ polynomial)
Jun
12
comment How do I prove $\log(x^n)=n\log|x|$?
If you want to prove the above formula for all real $x \neq 0 $ and $n \in \mathbb{N}$ (though I'm not sure it'd be true), you need to extend your consideration to complex numbers, extending the domain of $\log$ to complex numbers
Jun
12
revised How do I prove $\log(x^n)=n\log|x|$?
added 144 characters in body
Jun
12
comment How do I prove $\log(x^n)=n\log|x|$?
If you consider in real numbers only, the domain of $\log$ should be restricted to $(0,\infty)$.
Jun
12
comment How do I prove $\log(x^n)=n\log|x|$?
The above formula does not hold for arbitrary real $x$ and natural $n$; in this case $\log$ is not even defined properly
Jun
12
comment How do I prove $\log(x^n)=n\log|x|$?
Yes he is right
Jun
12
comment How do I prove $\log(x^n)=n\log|x|$?
In that case $n$ must be even
Jun
12
revised How do I prove $\log(x^n)=n\log|x|$?
added 49 characters in body
Jun
12
answered How do I prove $\log(x^n)=n\log|x|$?
Jun
12
comment How do I prove $\log(x^n)=n\log|x|$?
This answer seems correct only if you assume earlier that $x \neq 0$ and in the fourth step you need have $|x| = e^{y/n}$
Jun
9
revised Minimum Knowledges to precisely calculate PDEs (integral equations)
added 155 characters in body
Jun
9
comment Is there a change of variables formula for a measure theoretic integral that does not use the Lebesgue measure
where can I find this formula and its proof? Please help!
Jun
9
revised Minimum Knowledges to precisely calculate PDEs (integral equations)
added 23 characters in body
Jun
9
asked Minimum Knowledges to precisely calculate PDEs (integral equations)
Jun
9
asked Partial Fraction for rigorous understanding [ref. request]
Apr
16
accepted How can I find projection of $x^3$ in $L^2[-1.1]$
Apr
16
accepted $\max <x,q>$ when $x \in H$ Hilbert and $q \in A^\bot$