Abstract— In this paper, input impedance of a vertical rod under lightning stroke is first computed by applying the method of moments (MoM) on the Maxwell’s equations. The circuit model is then achieved through applying modified vector fitting (MVF) on the computed input impedance. After then the equivalent circuit is again extracted for a few values of soil conductivity and rod radius. Finally...

Infimum-supremum interval arithmetic is widely used because of ease of implementation and narrow results. In this note we show that the overestimation of midpoint-radius interval arithmetic compared to power set operations is uniformly bounded by a factor 1.5 in radius. This is true for the four basic operations as well as for vector and matrix operations, over real and over complex numbers. Mo...

For a nonnegative weakly irreducible tensor, its spectral radius is an eigenvalue corresponding to unique positive eigenvector up scalar, called Perron vector. But including the vector, it may have more than one radius. The projective eigenvariety associated with set of eigenvectors considered in complex space. We prove that dimension above zero, i.e. there are finitely many scalar. characteriz...

A Majorana neutrino is characterized by just one flavor diagonal electromagnetic form factor: the anapole moment, that in the static limit corresponds to the axial vector charge radius 〈 r2 A 〉 . Experimental information on this quantity is scarce, especially in the case of the tau neutrino. We present a comprehensive analysis of the available data on the single photon production process e+e− →...

Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and selfcommutators are given.

This paper considers lossless uniquely decodable source codes for a class of distributions described by a ball with respect to the total variational distance, centered at a nominal distribution with a given radius. The coding problem is formulated using minimax techniques, in which the maximum of the average codeword length over the class of distributions is minimized subject to Kraft inequalit...

The Support Vector Machine error bound is a function of the margin and radius. Standard SVM algorithms maximize the margin within a given feature space, therefore the radius is fixed and thus ignored in the optimization. We propose an extension of the standard SVM optimization in which we also account for the radius in order to produce an even tighter error bound than what we get by controlling...

Vector images are represented as display file containing set of drawing primitive commands (like move, line, curve, rectangle, circle etc) along with related parameters (like coordinates, angle, radius etc.). Scalar images are represented as pixel information ex. Bitmap. Thus memory required to store vector image is very less than of scalar image. Vector image is best to represent text since le...

In this work, the cross section of reaction $\ensuremath{\gamma}p\ensuremath{\rightarrow}V(J/\ensuremath{\psi},\ensuremath{\psi}(2S))p$ from production threshold to medium energy is studied and systematically analyzed within two gluon exchange model. The obtained numerical results are in agreement with experimental data other theoretical predictions. Under assumption scalar form factor dipole f...

We present an analysis of the proton mass radius by studying $t$-dependence differential cross sections vector meson photoproductions near thresholds. At low energy, photoproduction a quarkonium off is connected to scalar gravitational form factor proton, which sensitive distribution from QCD trace anomaly. Under assumption dipole form, extracted via near-threshold data J/$\psi$, $\phi$ and $\o...