Jose Garcia
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 Jan 17 comment possible value of this series ? either convergent or in the borel sense? ok thanks :D i didn't know how i cuold not get this solution by myself.. Jan 15 comment “All math is useful eventually” we can't prove your affirmation even there is physics which eventally will worth nothing is a pity :( for example i can not ge t a job because my math is unesefull :D vixra.org/author/jose_javier_garcia_moreta Jan 12 comment Why are mathematical proofs that rely on computers controversial? i think computers does not understand INFINITY am i wrong ? , also unfortunately a numerical proof is not valid otherwise i would have found an operator which yields to Riemann zeros :D :D Oct 31 comment Laplace, Legendre, Fourier, Hankel, Mellin, Hilbert, Borel, Z…: unified treatment of transforms? in many cases an integral transform $g(s)=s\int_{0}^{\infty}K(st)f(t)$ can be solved by using the Borel transform, not only for the case $K(st)=e^{-st}$ Oct 26 comment Given a plot of a function $f(x)$ how to find at which points it is differentiable? i think you can not.. assume a discontinuity poitn at ceratin value 'a' so for any positive $\epsilon$ we hve $f(x+ \epsilon)= 10^{-30000000000000000000000000000000000000000000000000000000000000}+f(x-\epsilo‌​n)$ Oct 15 comment Result of $\sum_{n=1}^{\infty} \frac{\sin(nx)}{n}$ en.wikipedia.org/wiki/Floor_and_ceiling_functions therefore the sum is about $\frac{\pi}{2}- frac{x}{2\pi}$ Oct 11 comment Laurent series expansion of a function defined by an integral well perhaps this exists at some other point $y=1$ or soemthing :) Oct 11 comment Evaluate $\lfloor \frac{x}{m} \rfloor + \lfloor \frac{x+1}{m} \rfloor + \dots + \lfloor \frac{x+m-1}{m} \rfloor$ this fucntion is periodic $f(x)=f(x+m)$ so you could try a Fourier series representation for it Sep 30 comment Solving an inverse spectral problem then appart from my functions a)-d) what else would i need ? thanks Sep 30 comment Solving an inverse spectral problem assume all the spectrum is discrete for example the potential $V (x) \to \infty$ whenever $|x| \to \infty$ Sep 19 comment Demystify integration of $\int \frac{1}{x} \mathrm dx$ you get the expression $x^{0}$ by direct integration howver if you 'regularize ' this divergence by substraction of the term $1/0$ you get $\frac{x^{0}-1}{0}=ln(x)$ by expanding the expression by a taylor series Sep 17 comment Unitary matrices and Riemann zeros is there an error? but the term $arg \zeta (1/2+it)$ is also important because you can have thousands of operators with real or imaginary eigenvalues so the mean density of zeros is about $N(T)= \frac{T}{2\pi}log \frac{T}{2\pi e}$ this does not prove all the zeros are real. Sep 12 comment Is there a link between divergent series and discontinuities in Fourier integrals? www3.nd.edu/~lnicolae/Enyart.pdf Sep 12 comment Scale invariance and the Mellin transform? only for scale invariant functions $f(kx)=f(x)$ for the rest this is not true Sep 12 comment find the minimum of $(a-b)^2+(a-1)^2+(b-1)^2$ a=b=1 is the correct solution and the minimum is 0 Sep 12 comment Definition of distribution, pseudofunction, and tempered distribution umm why the downvote ? :( Sep 10 comment Convergence of integral $\int_{0}^{\infty}{\frac{1}{x^{3}-1}}dx$ Ramanujan master theorem should give $PV \int_{0}^{\infty} \frac{x^{s-1}}{x-a}= a^{s-1}\pi cotg( \pi s)$ Sep 10 comment self adjoint linear operator and integration consider an opeartor that includes only $x$ and $\partial _{x}$ Sep 9 comment Can the system $\partial_x f(x,y) = \dot{y}$, $\partial_y f(x,y) = \dot{x}$ be related to some Hamiltonian system? NO, see en.wikipedia.org/wiki/… one of your equation must have a minus sign Sep 8 comment argument principle and evaluation of a complex integral ok Michael, thanks for the edit :)