We study a system of nonlinear Klein-Gordon equations with viscoelastic and degenerate damping in bounded domain. prove the global existence exponential growth solutions negative initial energy.

Multi-Task Learning (MTL) is a growing subject of interest in deep learning, due to its ability train models more efficiently on multiple tasks compared using group conventional single-task models. However, MTL can be impractical as certain dominate training and hurt performance others, thus making some perform better model multi-task one. Such problems are broadly classified negative transfer,...

Gram stains were performed on strains of Actinomyces bovis, Actinomyces viscosus, Arthrobacter globiformis, Bacillus brevis, Butyrivibrio fibrisolvens, Clostridium tetani, Clostridium thermosaccharolyticum, Corynebacterium parvum, Mycobacterium phlei, and Propionibacterium acnes, using a modified Gram regimen that allowed the staining process to be observed by electron microscopy (J. A. Davies,...

Pairing together planar material slabs with opposite signs for the real parts of their constitutive parameters has been shown to lead in the steady-state regime to interesting and unconventional properties that are not otherwise observable for single slabs, such as resonance, anomalous tunneling, transparency, and subwavelength imaging through the reconstruction of evanescent waves A. Alù and N...

The sum of random variables that are identical and independent from an exponential distribution creates the compound distribution. It is called negative binomial as when number added follows This distribution’s characteristic function established by using mathematical analysis methods, included its uniform continuity property. function's parametric curves never disappear complex plane, which me...

We prove exponential separations between the sizes of particular refutations in negative, respectively linear, resolution and general resolution. Only a superpolynomial separation between negative and general resolution was previously known. Our examples show that there is no strong relationship between the size and width of refutations in negative and linear resolution. Research partially supp...

Undirected graphical models, or Markov networks, are a popular class of statistical models, used in a wide variety of applications. Popular instances of this class include Gaussian graphical models and Ising models. In many settings, however, it might not be clear which subclass of graphical models to use, particularly for non-Gaussian and non-categorical data. In this paper, we consider a gene...

In this extended abstract we define a class of distributions which we shall refer to as multivariate matrix–exponential distributions (MVME). They are defined in a natural way, inspired by the definition of univariate matrix– exponential distributions, as the distributions on R+ having a rational (multidimensional) Laplace transform. A multidimensional rational function is the fraction between ...