The spectral function ρV −A(s) is determined from ALEPH and OPAL data on hadronic tau decays using a neural network parametrization trained to retain the full experimental information on errors, their correlations and chiral sum rules: the DMO sum rule, the first and second Weinberg sum rules and the electromagnetic mass splitting of the pion sum rule. Nonperturbative QCD vacuum condensates can...

We derive the first two moment sum rules of the conduction electron retarded self-energy for both the Falicov–Kimball model and the Hubbard model coupled to an external spatially uniform and time-dependent electric field this derivation also extends the known nonequilibrium moment sum rules for the Green functions to the third moment . These sum rules are used to further test the accuracy of no...

We measured two- and three-line spatial interval and alignment thresholds for a wide range of separations and eccentricities. In order to avoid confounding the role of separation and eccentricity, the test lines were presented on iso-eccentric arcs, with radii between 0.625 and 10 deg. The iso-eccentric paradigm allows separation to be varied over a large range while holding eccentricity consta...

IR this paper the high energy expansion introduced in our previous paper is i used to describe to the problem of beamstrahlung due to an extended pulse with an elliptical cross section of arbitrary eccentricity. We show that the transverse . geometry of the pulse enters in a remarkably simple scaling manner. This case _ is of interest because the radiative energy loss can be markedly reduced wh...

People make surprising but reliable perceptual errors. Here, we provide a unified explanation for systematic errors in the perception of three-dimensional (3-D) motion. To do so, we characterized the binocular retinal motion signals produced by objects moving through arbitrary locations in 3-D. Next, we developed a Bayesian model, treating 3-D motion perception as optimal inference given sensor...

ai = normalized radius of body’s circularized orbit for i M;S, where M moon and S sun C = cost function Cd = discrete cost function D1 D2 = operator that denotes the derivative with respect to the first (second) argument dEO = distance of spacecraft from Earth, km dMO = distance of spacecraft from moon, km dp = altitude of elliptical orbit at perigee, km E = energy integral Ei = critical energy...

The combined effects of axial flow and eccentricity on the temporal stability properties of the Taylor–Couette system are investigated using a pseudospectral method. Eccentricity is found to stabilize the Couette flow regardless of axial advection intensity. As the axial Reynolds number Rez is increased for any fixed eccentricity e 6 0.7, the critical mode switches from deformed toroidal Taylor...

Find a shortest path P with minimum eccentricity, Find a shortest path P with minimum eccentricity,