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  • 0 posts edited
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  • 189 votes cast
Jan
25
accepted Inverse function with Dirac Delta
Jan
25
comment Inverse function with Dirac Delta
i guess the inverse function of $ log(x) +\sum_{n=1}^{\infty} \delta (x-n) $ is just $ y=exp(x) $ except for the points $ n=1,2,3,4,5,6,.... $ where is ill-defined.
Jan
25
asked Inverse function with Dirac Delta
Jan
24
accepted Can a function be only defined graphically ??
Jan
24
comment Can a function be only defined graphically ??
ok tahnks.. you are right :)
Jan
24
asked Can a function be only defined graphically ??
Jan
16
revised nonlinear integral equation
added 230 characters in body
Jan
16
comment nonlinear integral equation
i want to solve a nonlinear integral equation, i am asking if my solution proposed for $ f^{-1}(x) $ is correct
Jan
16
asked nonlinear integral equation
Jan
14
asked Euler product on the critical line
Jan
10
comment fractional derivative of a heaviside function
if $ x>-1 $ then the Heaviside function is just a constant so .. the fractional derivative of a constant is $ Ax^{-1/2}$
Jan
10
comment fractional derivative of a heaviside function
it is a doubt i have.. for example for the Heaviside step function $ H(x+1) $ i know its fractional derivative isproportional to $ \frac{H(x+1)}{\sqrt{x+1}} $
Jan
10
asked fractional derivative of a heaviside function
Jan
4
comment is this function invertible ??
you mean several branches ?? of the function like for example in the case of the arc sinus ?? :D
Jan
4
comment is this function invertible ??
HOWEVER the sine function is periodic $ f(x)=sin(x) $ and the inverse exists , $ f^{-1}(x)= arcsin (x) $ and the same for the cosine function, anyway any function can be 'numerically' inverted by reflecting each point of the function $ y=f(x) $ through the line $ y=x $ am i right ?
Jan
3
comment What is so interesting about the zeroes of the $\zeta$ function
WU-Sprung is the physical realization of the Riemann Hypothesis, the Hilbert-Polya operator is then an Hamiltonian (second order perator) on the half-line $$ [0, \infty) $$ , this potential is connected to a solution of the riemann hypothesis and the Eigenvalues are the square of the Riemann Zeros $$ E_{n}= \gamma ^{2} $$
Jan
3
answered What is so interesting about the zeroes of the $\zeta$ function
Jan
2
comment argument of the Riemann zeta function
sorry stopple i am a physicit so i do not understand much about probability (only for quantum mechanics) so if your reressent the function $$ arg\zeta(1/2+it)/\sqrt{1/2loglog(t)} $$ will have the form of a Gaussian ?? thanks for your advise :) and your patience
Jan
2
comment Plot of a Bessel function if possible
it is strange i believed it was real... how about $$J_{ait}(2\pi i)+ J_{-ait}(2\pi i) $$
Jan
2
asked Plot of a Bessel function if possible