Interpretation of the Esin-Markov effect in terms of the Frumkin isotherm with the linear dependence of the adsorption energy on the electrode charge

The intention of this research is to investigate the aspect of non-linearity and chaotic behavior of the Cyprus stock market. For this purpose, we use non-linearity and chaos theory. We perform BDS, Hinich-Bispectral tests and compute Lyapunov exponent of the Cyprus General index. The results show that existence of non-linear dependence and chaotic features as the maximum Lyapunov exponent was found to be positive. This study is important because chaos and efficient market hypothesis are mutually exclusive aspects. The efficient market hypothesis which requires returns to be independent and identically distributed (i.i.d.) cannot be accepted.

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Oxidation of (1-hydroxybenzyl)ferrocene and its derivatives substituted in phenyl ring with bis(triphenylsilyl) chromate

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19823375 ◽

1982 ◽

Vol 47 (12) ◽

pp. 3375-3380 ◽

Cited By ~ 1

Author(s):

Jaroslav Holeček ◽

Karel Handlíř ◽

Milan Nádvorník ◽

Milan Vlček

Keyword(s):

Linear Dependence ◽

Rate Constants ◽

Oxidation Rate ◽

Phenyl Ring ◽

Equilibrium Constants ◽

Aprotic Solvents ◽

Protonation Equilibrium ◽

Oxidation Of Alcohols ◽

Hammett Σ Constants ◽

Sulphuric Acid Medium

Kinetics have been studied of oxidation of (1-hydroxybenzyl)ferrocenes substituted in phenyl ring with bis(triphenylsilyl) chromate in benzene solutions as well as protonation of these alcohols in sulphuric acid medium. Logarithms of the oxidation rate constants (kobs, 20-40 °C) and those of the protonation equilibrium constants (KR+, 25 °C) show linear dependence on the Hammett σ constants, the ρ constant values being -0.86 to -0.40 and -2.50, respectively. These negative values suggest that the both processes are influenced by the same effects and confirm the mechanism proposed earlier for oxidation of alcohols with ferrocenyl substituent by action of bis(triphenylsilyl) chromate in aprotic solvents.

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Studies of a Mixed Adsorption Layer of Butan-1-ol and o-Toluidine on Mercury Electrode

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc20021579 ◽

2002 ◽

Vol 67 (11) ◽

pp. 1579-1588 ◽

Cited By ~ 1

Author(s):

Dorota Sieńko ◽

Dorota Gugała ◽

Jolanta Nieszporek ◽

Joanna Jankowska ◽

Jadwiga Saba

Keyword(s):

Thermodynamic Analysis ◽

Adsorption Layer ◽

Supporting Electrolyte ◽

Mercury Electrode ◽

Interaction Constant ◽

Repulsive Interaction ◽

Surface Excess ◽

Adsorption Parameters ◽

Frumkin Isotherm ◽

Adsorption Layers

The results of thermodynamic analysis of o-toluidine adsorption on a mercury electrode in the presence of various butan-1-ol amounts complete our previous studies on properties of mixed adsorption layers of toluidine isomers-butan-1-ol. The values of the relative surface excess Γ'°T obtained for o-toluidine show that adsorption of this compound decreases with increasing of butan-1-ol concentration. Analysis of adsorption parameters derived from the Frumkin isotherm indicates that in the presence of 0.33 M BuOH in 1 M NaClO4 with adjusted pH 3 as supporting electrolyte, ∆G0 values for o-toluidine are the highest and, at the same time, the strongest repulsive interaction occurs. In the presence of 0.11 M butan-1-ol, smaller values of ∆G0 for o-toluidine correspond to weaker repulsive interaction. Therefore the change of the Γ'°T value for o-toluidine as a function of butan-1-ol concentration is the result of mutual changes of ∆G0 and interaction constant A between adsorbate molecules.

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Offline method for determination of non‐linear dependence of machine magnetising inductance utilising parallel operation of current and voltage model

IET Power Electronics ◽

10.1049/iet-pel.2018.6321 ◽

2019 ◽

Vol 12 (11) ◽

pp. 2843-2850 ◽

Cited By ~ 3

Author(s):

Ondrej Lipcak ◽

Jan Bauer ◽

Pavel Kobrle

Keyword(s):

Linear Dependence ◽

Parallel Operation ◽

Non Linear

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R-Regularity of Set-Valued Mappings Under the Relaxed Constant Positive Linear Dependence Constraint Qualification with Applications to Parametric and Bilevel Optimization

Set-Valued and Variational Analysis ◽

10.1007/s11228-021-00578-0 ◽

2021 ◽

Author(s):

Patrick Mehlitz ◽

Leonid I. Minchenko

Keyword(s):

Linear Dependence ◽

Constraint Qualification ◽

Parametric Optimization ◽

Optimization Problems ◽

Sufficient Conditions ◽

Bilevel Optimization ◽

Regularity Property ◽

Constant Rank Constraint Qualification ◽

Existence Criterion ◽

Set Valued Mappings

AbstractThe presence of Lipschitzian properties for solution mappings associated with nonlinear parametric optimization problems is desirable in the context of, e.g., stability analysis or bilevel optimization. An example of such a Lipschitzian property for set-valued mappings, whose graph is the solution set of a system of nonlinear inequalities and equations, is R-regularity. Based on the so-called relaxed constant positive linear dependence constraint qualification, we provide a criterion ensuring the presence of the R-regularity property. In this regard, our analysis generalizes earlier results of that type which exploited the stronger Mangasarian–Fromovitz or constant rank constraint qualification. Afterwards, we apply our findings in order to derive new sufficient conditions which guarantee the presence of R-regularity for solution mappings in parametric optimization. Finally, our results are used to derive an existence criterion for solutions in pessimistic bilevel optimization and a sufficient condition for the presence of the so-called partial calmness property in optimistic bilevel optimization.

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Physical Insights from Frumkin Isotherm Applied to Electrolyte Gated Organic Transistor as Protein Biosensors

Journal of Materials Chemistry C ◽

10.1039/d1tc02546e ◽

2021 ◽

Author(s):

Pamela Allison Manco Urbina ◽

Marcello Berto ◽

Pierpaolo Greco ◽

Matteo Sensi ◽

Simone Borghi ◽

...

Keyword(s):

Organic Transistors ◽

Label Free ◽

Sensor Signal ◽

Frumkin Isotherm ◽

Organic Transistor ◽

Dose Curve

Label free biosensors based on electrolyte gated organic transistors (EGOTs) are ultra-sensitive and versatile sensing devices. The dose curve represents the change of the sensor signal as a function of...

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