In this simulation study, five correlation coefficients, namely, Pearson, Spearman, Kendal Tau, Permutation-based, and Winsorized were compared in terms of Type I error rate power under different scenarios where the underlying distributions variables interest, sample sizes patterns varied. Simulation results showed that Pearson coefficient negatively affected by distribution shapes especially for small sizes, which was much more pronounced Spearman Rank Tau coefficients when small. general,...

Within the frame of a novel treatment we make complete mathematical analysis exactly solvable one-dimensional quantum systems with non-constant mass, involving their ordering ambiguities. This work extends results recently reported in literature and clarifies relation between physically acceptable effective mass Hamiltonians.

Recently developed supersymmetric perturbation theory has been successfully employed to make a complete mathematical analysis of the reason behind exact solvability some non-central potentials. This investigation clarifies once more effectiveness present formalism.

The eigenvalues of the potentials $V_{1}(r)=\frac{A_{1}}{r}+\frac{A_{2}}{r^{2}}+\frac{A_{3}}{r^{3}}+\frac{A_{4 }}{r^{4}}$ and $V_{2}(r)=B_{1}r^{2}+\frac{B_{2}}{r^{2}}+\frac{B_{3}}{r^{4}}+\frac{B_{4}}{r^ {6}}$, special cases these such as Kratzer Goldman-Krivchenkov potentials, are obtained in N-dimensional space. explicit dependence higher-dimensional space is discussed, which have not been previously covered.

With the consideration of spherical symmetry for potential and mass function, one-dimensional solutions nonrelativistic Schrödinger equations with spatially varying effective are successfully extended to arbitrary dimensions within frame recently developed elegant nonperturbative technique, where BenDaniel-Duke Hamiltonian in one dimension is assumed like unperturbed piece, leading well-known solutions, whereas modification term due possible use other Hamiltonians and, together corrections...

Polyethylene (PE) is the principal component of postconsumer plastic wastes. It important to develop chemical techniques decompose PE with a view recycling and production compounds that are valuable as fuel or industrial raw materials. The most common reactors in polymer pyrolysis fluidized-bed types. Free-fall do not suffer disadvantages fluidized beds related inert gas employment. This flash study has shown low density polyethylene (LDPE) can be continuously degraded free-fall reactor...

Motivated by the observation that all known exactly solvable shape invariant central potentials are inter-related via point canonical transformations, we develop an algebraic framework to show a similar mapping procedure also exists between class of non-central potentials. As illustrative example, discuss inter-relation generalized Coulomb and oscillator systems.

The relativistic problem of spinless particle subject to a Kratzer potential is analysed. Bound state solutions for s-waves are found by separating the Klein–Gordon equation into two parts. Unlike similar works in literature, separation make it possible see explicitly contributions, if any, solution non-relativistic limit.

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in partial wave phase shifts are derived explicitly and results compared with those of other methods.

The solutions, in terms of orthogonal polynomials, Dirac equation with analytically solvable potentials are investigated within a novel formalism by transforming the relativistic into Schrödinger-like one. Earlier results discussed unified framework, and some solutions large class given.

Abstract The dependence of the upper and lower critical solution temperatures T c systems (1) oxolane + water, (2) 2‐butoxyethanol water on mole fraction X El dissolved 1‐1, 2‐1, 3‐1 electrolytes has been investigated. material stability homogeneous state both is extremely sensitive to small electrolyte concentrations so that observed shift may be interpreted as result a perturbation mutual solvation non‐electrolytes by ion solvation. Cations destabilize homogeneity in order Me < 2+ 3+ ....

Abstract Hydrodealkylation (HDA) of the benzene–toluene–xylene (BTX) fraction pyrolysis gasoline is an industrial route to produce benzene. Complicated kinetics aromatic and nonaromatic hydrocarbon reactions has been experimentally investigated at conditions this process, employing a polyfunctional Al–Cr–KF catalyst with high benzene selectivity, model feeds BTX. The study reports effects hydrocarbons on temperature catalytic conversion toluene. Above 525°C process found be thermo-catalytic...

Thermal degradation of low density polyethylene (LDPE) wastes was investigated in this study as a step chemical recycling. The effects the temperature, solvent–LDPE ratio, and reaction time were researched respective ranges 375–450°C, 0:1–6:1, 30–120 min. Experiments at cyclohexane:LDPE ratio 6:1 showed that up to 425°C solid residue decreased whereas liquid yield total conversion increased. There no significant changes thereafter. Solventless gave weight percentages 4.7, 75.6, 19.7 for...

A mapping is obtained relating radial screened Coulomb systems with low screening parameters to anharmonic oscillators in N-dimensional space. Using the formalism of supersymmetric quantum mechanics, it shown that exact solutions these potentials exist when satisfy certain constraints.