Let $X$ be a vector space over a field $K$ of real or complex numbers. We will prove the superstability of the following Go{l}c{a}b-Schinzel type equation$$f(x+g(x)y)=f(x)f(y), x,yin X,$$where $f,g:Xrightarrow K$ are unknown functions (satisfying some assumptions). Then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitr...

Abstract Nonlinear constitutive equations are proposed to model variations in flow stress as a function of strain rate and temperature during hot deformation. Modified applied seventy data sets about deformation alloys. Two modifications conventional models introduced, viz. (1) nonlinear (2) multivariate with the fitting simultaneously two variables. The predictive accuracy was evaluated using ...

A device that transforms chemical energy into electrical is an electrochemical cell. The reaction type inside the cell determines whether it exothermic or endothermic. This paper discusses mathematical modelling of explosions in a slab. model based on nonlinear equation containing term related to Arrhenius, bimolecular, and sensitised laws kinetics. absolute temperature can be derived by solvin...

1. The rates of heat inactivation of papain, bromelin, and asclepain were determined at several different temperatures. Papain was by far the most resistant to heat. 2. The destruction of papain at 75-83 degrees and bromelin at 55-70 degrees followed the course of a first order reaction, except that for longer times of heating, bromelin (at 60-70 degrees ) was inactivated more rapidly than the ...

in this research complexation of dioxovanadium(v) with nitrilotriacetic acid (nta) at differentionic strengths (0.1 to 1.0 mol dm-3) of sodium perchlorate as supporting electrolyte and ph rangeof 1.00-2.50 at 25 °c has been investigated by a combination of potentiometric and uvspectrophotometric measurements. stability constants of two species, v0211l- and vo2h2l havebeen calculated. ionic stre...

in this paper, we present legendre wavelet method to obtain numerical solution of a singular integro-differential equation. the singularity is assumed to be of the cauchy type. the numerical results obtained by the present method compare favorably with those obtained by various galerkin methods earlier in the literature.

Diese Arbeit beschäftigt sich mit der Entwicklung und Implementierung eines Alterungsmodells für Lithium-Ionen Batterien. Das Modell basiert auf der ArrheniusGleichung für die Alterung über der Zeit sowie auf einer Polynomfunktion welche die Alterung über den Zyklen abbildet und ermöglicht die Simulation des Alterungsverhaltens einer Batterie unter Berücksichtigung der Batterietemperatur und de...

ABSTRACT: The objective of this study was to investigate the effect of different thermal treatments (20-100°C at five levels for 20 min) on rheological properties of basil seed (Ocimum basilicum) and balangu seed (Lallemantia royleana) gums. Power law model well described the non-Newtonian pseudoplastic behaviour of the seeds gums. The apparent viscosity of balangu seed gum was dramatically aff...

One of the major hurdles in utilization metallic lithium anodes is understanding Li+ transfer kinetics through solid electrolyte interface (SEI) addition to Li oxidation. Electrochemical impedance spectroscopy (EIS) combined with temperature variation provides deeper comprehension and reveals kinetic parameters individual processes separately. In this study, we report temperature-dependent EIS ...

Recombinant thermostable direct hemolysin from Grimontia hollisae (Gh-rTDH) exhibits paradoxical Arrhenius effect, where the hemolytic activity is inactivated by heating at 60 °C but is reactivated by additional heating above 80 °C. This study investigated individual or collective mutational effect of Tyr53, Thr59, and Ser63 positions of Gh-rTDH on hemolytic activity, Arrhenius effect, and biop...