in 1914, showing a decidedly lower transmission of radiation through the water cell, in the case of Venus and Saturn. The intensity of the planetary radiation increases with decrease in the density of the surrounding atmosphere and (as interpreted from the water cell transmissions) in per cent of the total radiation emitted, is as follows: Jupiter (0), Venus (5), Saturn (15), Mars (30) and the ...

In this paper we show how to construct the Evans function for traveling wave solutions of integral neural field equations when the firing rate function is a Heaviside. This allows a discussion of wave stability and bifurcation as a function of system parameters, including the speed and strength of synaptic coupling and the speed of axonal signals. The theory is illustrated with the construction...

Dynamic response of the one-dimensional viscoelastic rod finite length, that has one end fixed and other subject to prescribed either displacement or stress, is analyzed by analytical means Laplace transform, yielding stress an arbitrary rod's point as a convolution boundary forcing solution kernel. Thermodynamically consistent Burgers models are adopted constitutive equations describing mechan...

A bstract We discuss peculiarities that arise in the computation of real-emission contributions to observables contain Heaviside functions. prominent example such a case is zero-jettiness soft function SCET, whose calculation at next-to-next-to-next-to-leading order perturbative QCD an interesting problem. Since distinguishes between emissions into different hemispheres, its definition involves...

We consider the initial value problem for the equation u t = u xx +H(u), where H is the Heaviside graph, on a bounded interval with Dirichlet boundary conditions, and discuss existence, regularity and uniqueness of solutions and interfaces .

Thomson scattering is the classical process of light being deflected by a charged obstacle of typical size smaller than the wavelength of the incident radiation. For definiteness we will henceforth assume the charge to be an electron and the incoming wave stemming from a laser beam. The scattered radiation may be viewed as resulting from a two-step process: (i) the acceleration of the charge du...