recent experiments on the spherical tokamak have discovered the conditions to create a powerful plasma and ensure easy shaping and amplification of stability, high bootstrap current and confinement energy. the spherical tours (st) fusion energy development path is complementary to the tokamak burning plasma experiment such as nstx and higher toroidal beta regimes and improves the design of a po...

Hubble’s constant (H0) is calculated using the Fundamental Plane (FP) relation between half-light radius, surface brightness, and velocity dispersion for groups and clusters of galaxies. The Tip of the Red Giant Branch (TRGB), a standard candle based on the constant luminosity of low-mass stars at helium core flash, is used to calibrate the cluster FP. TRGB stars yield the distances to the near...

We compare different examples of spherical accretion onto a gravitating mass. Limiting cases include the accretion of a collisionally dominated fluid and the accretion of collisionless particles. We derive expressions for the accretion rate and density profile for semi-collisional accretion which bridges the gap between these limiting cases. Particle crossing of the Hill sphere during the forma...

5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

In this paper, the cubic spherical optimization problems, including the cubic one-spherical/two-spherical/three-spherical optimization problems, are discussed. We first show that the two-spherical optimization problem is a special case of the three-spherical optimization problem. Then we show that the one-spherical optimization problem and the two-spherical optimization problem have the same op...

We study spherical quadrilaterals whose angles are odd multiples of π/2, and the equivalent accessory parameter problem for the Heun equation. We obtain a classification of these quadrilaterals up to isometry. For given angles, there are finitely many one-dimensional continuous families which we enumerate. In each family the conformal modulus is either bounded from above or bounded from below, ...

this study aimed to assess changes in contrast sensitivity and aberrations in cases of myopia greater than 5.0 diopter (d) who had photorefractive keratectomy (prk). in this semi-experimental study, 20 eyes of ten patients were studied. inclusion criteria were at least 5.0 d of myopia, stable refraction in the past year, no history of refractive surgery, a minimum corneal thickness of 480 μm, a...

using a generalized spherical mean operator, we obtain the generalizationof titchmarsh's theorem for the dunkl transform for functions satisfyingthe lipschitz condition in l2(rd;wk), where wk is a weight function invariantunder the action of an associated reection groups.

felodipine is a second generation calcium channel blocker widely used as antihypertensive and antianginal drug which belongs to bcs class ii category. hence, its low water solubility limits the pharmacological effect. the aim of this study was to improve the dissolution rate of felodipine using spherical agglomeration technique with acetone, water and dichloromethane as good solvent, poor solve...