Here, we point out on an intriguing mapping between the quantum harmonic oscillator ground state and zero absolute vorticity plane Couette flow of a Boltzmann-like density distributed ideal gas in thermal equilibrium. The is obtained when embedded rotating frame whose rotation rate equal to half frequency oscillator.

Herein, the application of Carnahan-Starling-vdW-β equation of state (EoS) for 13 refrigerant fluids was investigated. The EoS could predict the saturated liquid densities of these refrigerants over the temperature range of 100-400 K and pressures from zero up to187 MPa with the average absolute deviations of 2.66%. The accuracy of Carnahan-Starling-vdW-β EoS in liquid density prediction was al...

Assume that the surplus of an insurer follows a compound Poisson surplus process. When the surplus is below zero or the insurer is on deficit, the insurer could borrow money at a debit interest rate to pay claims. Meanwhile, the insurer will repay debts from her premium income. The negative surplus may return to a positive level if debts are reasonable. However, when the negative surplus is bel...

Upon cooling, many materials undergo an electronic phase transition leading to infinite conductivity. This state of matter, known as superconductivity, was first discovered in 1911 by Kamerlingh Onnes while working with liquefied helium [Onnes]. At 4.2K he discovered that the resistivity of mercury dropped below detectable values. Shortly after this discovery, many other elements, such as tin, ...

In this paper, we first establish a version of multidimensional analogues the refined Bohr’s inequality. Then two versions improved inequality with initial coefficient being zero. Finally replaced by absolute value function, and to prove that most results are sharp.

This paper is concerned with the existence of local absolute instability in the boundary-layer flow over the outer surface of a rotating cone, thereby extending earlier work by Lingwood who considered the rotating disk. Both still outer fluids and non-zero axial flow are considered, viscous and streamline-curvature effects are included, and the analysis is conducted for a wide range of cone hal...

We present precise optical and near-infrared ground-based photometry of two Globular Clusters (GCs): ω Cen and 47 Tuc. These photometric catalogs are unbiased in the Red Giant Branch (RGB) region close to the tip. We provide new estimates of the RGB tip (TRGB) magnitudes— mI(TRGB) = 9.84± 0.05, ω Cen; mI(TRGB) = 9.46± 0.06, 47 Tuc—and use these to determine the relative distances of the two GCs...

In conversations between native speakers, words such as ‘same’ and ‘identical’ do not usually cause much difficulty. We take it for granted that others use them with the same sense as we do. If it is unclear whether numerical or qualitative identity is intended, a brief gloss such as ‘one thing not two’ for the former or ‘exactly alike’ for the latter removes the unclarity. In this paper, numer...

The index conjecture in zero-sum theory states that if gcd?(n,6)=1 then every minimal sequence of length 4 modulo n has 1. In this paper, we prove a version for all n>N some absolute constant N.

Fundamental notions concerning absolute structure and absolute configuration, and their determination from single-crystal diffraction measurements, are presented and reviewed. A glossary of terms with definitions useful in this field is provided. For absolute structure and its determination, the separate but interacting influences of the structure and the inversion-distinguishing power of an X-...