We introduce negative binomial matrix factorization (NBMF), a matrix factorization technique specially designed for analyzing over-dispersed count data. It can be viewed as an extension of Poisson matrix factorization (PF) perturbed by a multiplicative term which models exposure. This term brings a degree of freedom for controlling the dispersion, making NBMF more robust to outliers. We show th...

The globalised cascaded scattering matrix technique is a well proven, practical method that can be used to simulate large accelerating RF structures in which realistic fabrication errors to be incorporated in an efficient manner without the necessity to re-mesh the entire geometry. The globalised scattering matrix (GMS) technique allows one to obtain the scattering matrix for a structure. The m...

We carry out a statistical characterization of Jones matrix eigenvalues and eigenmodes to gain deeper insight into recently proposed fiber models based on Jones matrix spectral decomposition. A set of linear dynamic equations for the Pauli coordinates of the Jones matrix is established. Using stochastic calculus, we determine the joint distribution of the retardation angle of the eigenmodes and...

The S-matrix in the static limit of a dispersion relation has a finite order N and is a matrix of meromorfic functions of energy ω in the plane with cuts (−∞,−1], [+1,+∞). In the elastic case it reduces to N functions Si(ω) connected by the crossing symmetry matrix A. The problem of analytical continuation of Si(ω) from the physical sheet to unphysical ones can be treated as a nonlinear system ...

An improved analytical model is developed based on an interparticle distance concept, to predict the percolation threshold of conducting polymer composites containing graphite nanoplatelets (GNPs) and carbon nanotubes (CNTs). GNPs are modeled as well-dispersed, disc-shaped cylinders, while CNTs were modeled as either well-dispersed sticks or sphere-shaped CNT agglomerates with a higher CNT conc...

We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional quantum field theories. The method is based on continuous matrix product states and can be implemented efficiently. We study the critical Lieb-Liniger model as a benchmark and excellent agreement with the exact solution is found. Additionally, we observe solitonic signatures of Lieb...

A simple and effective extraction method based on matrix solid-phase dispersion (MSPD) was developed to determine thirteen pyrethroid insecticide residues in goat tissues (liver, kidney, muscle and heart) and milk using gas chromatography electron ionization mass spectrometry method (GC-MS). The samples were pre-concentrated using C18 packing material (dispersion adsorbent), followed by clean u...

We measured the dispersion of the graphite optical phonons in the in-plane Brillouin zone by inelastic x-ray scattering. The longitudinal and transverse optical branches cross along the Gamma-K as well as the Gamma-M direction. The dispersion of the optical phonons was, in general, stronger than expected from the literature. At the K point the transverse optical mode has a minimum and is only a...

We investigate the dispersion relation of the winding closed-string states in SU(N) gauge theory defined on a d-dimensional hypertorus, in a class of effective string theories. We show that order by order in the asymptotic expansion, each energy eigenstate satisfies a relativistic dispersion relation. This is illustrated in the Lüscher-Weisz effective string theory to two-loop order, where the ...

Polypropylene/Multiwall carbon nanotubes/Montmorillonite (PP/MWNTs/MMT) hybrid nanocomposites were prepared by using twin-screw extruder incorporating the polypropylene grafted maleic anhydride (PP-g-mA) as compotibilizer is used for better dispersion of nanoclay in the polymer matrix. The effect of MWNTs and MMT on the polypropylene matrix was investigated in terms of mechanical properties of ...