We assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the Dirac matrices. Then by making use of a suitable ansatz, the Dirac equation has a very simple solution which is exact. We then have calculated the static properties of the nucleon in the ...

Numerical investigation of a compressible fluid in two-dimensional rectangular lid-driven cavity (LDC) with vertical temperature gradient is performed by solving the Navier–Stokes equation. Here, we explore role aspect ratio (AR) (width/height) on vorticity dynamics and redistribution considering three ARs 1:1, 2:1, 3:1. The onset propagation instability are explored via time-resolved instantan...

N2/Ar and Ar/He relationships: Fluid inclusion magmatic gases are measured using quadrupole mass spectrometers and the data is compared to measurements of volcanic gas analyses. Data reported by Giggenbach from active volcanoes give N2/Ar ratios in the general range of 100 to 1000 whereas corresponding Ar/He ratios vary from 100 to 2. Plotted on a Ar/He vs. N2/Ar diagram the data defines a fiel...

Let E/k(T ) be an elliptic curve defined over a rational function field of characteristic zero. Fix a Weierstrass equation for E. For points R ∈ E(k(T )), write xR = AR/D2 R with relatively prime polynomials AR(T ), DR(T ) ∈ k[T ]. The sequence {DnR}n≥1 is called the elliptic divisibility sequence of R. Let P, Q ∈ E(k(T )) be independent points. We conjecture that deg ( gcd(DnP , DmQ) ) is boun...

We present a case of a hypersensitised end stage renal disease patient with impossibility of peritoneal dialysis and exhaustion of vascular access for haemodialysis, who presented a positive cross-match to her potential living related donors. A desensitisation protocol was applied and a renal transplant was successfully performed with the kidney from the living donor. The protocol was based on ...

The generalized Langevin equation is useful for modeling a wide range of physical processes. Unfortunately its parameters, especially the memory function, are difficult to determine for nontrivial processes. We establish relations between a time-discrete generalized Langevin model and discrete multivariate autoregressive (AR) or autoregressive moving average models (ARMA). This allows a wide ra...

Abstract. Mathieu's differential equation, y" + (a — 2q cos 2x)y = 0, admits of solutions of period ir or 2x for four countable sets of characteristic values, aiq), which can be ordered as ariq), r = 0, 1, • • -. The power series expansions for the ariq) converge up to the first double point for that order in the complex plane. [At a double point, ar(g) = ar+2iq).] The present work furnishes th...