On a Characterization of the Normal Distribution
M. Kac
American Journal of Mathematics, Vol. 61, No. 3 (Jul., 1939), pp. 726-728 (3 pages)
https://doi.org/10.2307/2371328•https://www.jstor.org/stable/2371328
Thank you guys, your comments helped me to locate the article mentioned above!
The orientation of the polariser is best detected by the pleochroism of biotite. Biotite, cut perpendicular to the sheets, appears dark if the polariser is oriented parallel to the sheets, and bright if perpendicular.
And yes, a "head cut" (my translation of the german "Kopfschnitt") is a slice...
I need a citation for the following proposition: Assume a random vector ##X=(X_1, ..., X_n)^T## with iid components ##X_i## and mean 0, then the distribution of ##X## is only invariant with respect to orthogonal transformations, if the distribution of the ##X_i## is a normal distribution.
Thank...
Well, if ##H=H_0+\epsilon V## and ##R=(H-\lambda)^{-1}## and similarly ##R_0##, then the one particle Greensfunction is something like ##G=\langle 1 | R| 1\rangle> ## where ##| 1 \rangle ## is some one particle state. Expanding R in powers of ##\epsilon## yields the Dyson equation for ##G##. If...
Basically, Feynman diagrams are related to a perturbation expansion of the resolvent (H-lambda)^{-1} and not of the hamiltonian itself. So it is not astonishing that a first order correction to energy yields a geometric series for the resolvent and vice versa to get exactly coincident expressions.
There are syntheses which don't seem to have KCl as a byproduct, e.g. https://www.mdpi.com/2313-0105/9/12/573 or here https://www.cell.com/joule/pdf/S2542-4351(19)30318-6.pdf
Even if both substances are in principle soluble in the same solvents, when you try to crystallize them, usually one of...
I would recommend Max Plancks book
https://www.amazon.de/Treatise-Thermodynamics-Dover-Books-Physics/dp/048666371X
He did his PhD on Thermodynamics and Thermodynamics was his route to discover quantum mechanics which earned him the Nobel Prize.
Very nice slide! You should also try to identify the pleochroism of the arfvedsonite. From your picture, one already recognizes a change from light blue to light green parallel or perpendicular to the longitudinal extension. How is your polarisatior oriented? (NS or EW)? Do you also find a...
As far as I understand it, almost all different outcomes are in separate superselection sectors (differing by an infinite number of soft photons) so that no superpositions are possible.