The discussion in the preceding paper is restricted to the uncertainties in magnetic-field-line tracing in the magnetosphere resulting from published standard errors in the spherical harmonic coefficients that define the axisymmetric part of the internal geomagnetic field (i.e. gn dg 0 n). Numerical estimates of these uncertainties based on an analytic equation for axisymmetric field lines are ...

One application of harmonic Ritz values is to approximate, with a projection method, the interior eigenvalues of a matrix A while avoiding the explicit use of the inverse A. In this context, harmonic Ritz values are commonly derived from a Petrov-Galerkin condition for the residual of a vector from the test space. In this paper, we investigate harmonic Ritz values from a slightly different pers...

Abbreviations CT: Coordinate transformation FIR: Finite impulse response HFP: Harmonic function pair ILS: Innnitesimal linear symmetry GHT: Generalized Hough transform GLS: Generalized linear symmetry SNR: Signal to noise ratio 1 Abstract A theory for detecting general curve families by means of symmetry measurements in the coordinate transformed originals is presented. Symmetries are modeled b...

We apply a Gaussian state formalism to track fluctuating perturbations that act on the position and momentum quadrature variables of harmonic oscillator. Following seminal proposal by Tsang Caves [Phys. Rev. Lett. 105, 123601 (2010)], Einstein-Podolsky-Rosen correlations with an ancillary oscillator are leveraged significantly improve estimates as relevant sensor can be arbitrarily squeezed whi...

Abstract The Hölder–Morrey spaces $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ Λ κ p , τ ( Ω ∧ l )...

The papers (González-Cervantes in Adv Appl Clifford Algebras 31:55, 2021; González-Cervantes Complex Variables and Elliptic Equations 2021) are the first works to apply theory of fiber bundles study quaternionic slice regular functions. main goal present work is extend results given (2021), where right linear space functions was presented as base a bundle. When associated certain domains then t...

This note presents elementary geometric descriptions of several simple families of harmonic functions on the upper sheet of the unit hyperboloid in Minkowski three-space. As is briefly discussed here, these calculations grew out of an earlier attempt to construct Poincaré series on punctured surfaces using Minkowski geometry. Introduction The material in this note grew out of an attempt (discus...

manufacturing new hepatitis b virus vaccines, specifically by the use of nanoparticles, is of high global interest. in this paper, a new biocompatible and biodegradable structure of nano-sized hepatitis b virus’ surface antigen (hbsag) was generated by conjugation with dendrimers, a low cost biodegradable and biocompatible polymer. the physicochemical properties of the conjugate were characteri...