It is known that entropy maximised MlGI/l queues yield queue length distributions that are geometric when the constraints involve only the first two moments of the service time distribution. By proving that geometric queue lenth is equivalent to exponential service in MlGIil queues, we show that using the entropy maximisation procedure with only two service time moments is equivalent to using e...

We solve the non-linear monopole equation of the Born-Infeld theory to all orders in the NS 2-form and give physical implications of the result. The solution is constructed by extending the earlier idea of rotating the brane configuration of the Dirac monopole in the target space. After establishing the non-linear monopole, we explore the non-commutative monopole by the Seiberg-Witten map. ∗mor...

In this note we specialize and illustrate the ideas developed in the paper [4] Families, Eta forms, and Deligne cohomology in the case of the determinant line bundle. We discuss the surgery formula in the adiabatic limit using the adiabatic decomposition formula of the zeta regularized determinant of the Dirac Laplacian in [11].

We analyze the role played by the gauge invariance for the existence of Dirac monopole. To this end, we consider the electrodynamics with massive photon and ask if the magnetic charge can be introduced there. We show that the derivation of the Dirac quantization condition based on the angular momentum algebra cannot be generalized to the case of massive electrodynamics. Possible implications of...

Bursts of electrical potentials propagate at ca. 2.0 cm s' within the colonial vascularsystem ofBotryllus, Botryioides, and Metandrocarpa, servingto coordinate contractions of the vascular ampullae and mediating protective closure and ciliary arrest in zooids. Nerves are absent from the vessels and ampullae. Impulses are presumed to propagate from cell to cell in the vascular epithelium via gap...

In this paper, the propagation model considers the two half-spaces as a homogeneous isotropic medium and one-dimensionally anisotropic medium. From the exact formulas for the transient field with delta-function excitation, it is obtained readily the exact formulas for the transient field excited by a horizontal electric dipole with Gaussian excitation when both the dipole point and field point ...

We prove that the massless Dirac operator in R with long-range potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrix-valued potentials are considered as well.

Minicharged particles (MCPs) arise naturally in extensions of the Standard Model with hidden sector gauge groups. Many such extensions also contain magnetic monopoles. For models containing both monopoles and MCPs, we clarify the role of the Dirac charge quantization condition in restricting the possible charges. We also show that monopoles of the hidden sector may manifest themselves as MCPs, ...

It can be difficult to tell whether a trained generative model has learned to generate novel examples or has simply memorized a specific set of outputs. In published work, it is common to attempt to address this visually, for example by displaying a generated example and its nearest neighbor(s) in the training set (in, for example, the L metric). As any generative model induces a probability de...