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Thermodynamic basis for expressing dose logarithmically
Toxicology and Applied Pharmacology, 2008The current explanations for using a logarithmic scale for the dose of a chemical, administered to a biological system, have all been empirical. There is a fundamental, thermodynamic reason why a logarithmic scale must be used. The chemical potential is the effect that a chemical exerts on any system, including biological systems.
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The Logarithmic Expression of Reliability Quantities
IEEE Transactions on Reliability, 1983Taking the logarithm of probabilities associated with reliability allows them to be expressed on a simple scale. The resulting values increase with increased system reliability.
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Calculation of the rate of bulk fluid flow by exponential and logarithmic expressions
Oil and Gas Studies, 2020A formula is presented to calculate the rate of bulk fluid flow in accord with hydrodynamic flow parameters and physical-chemical characteristics of pumping fluids. The formula was derived based on a model knowledge of fluid flow as a continuous sequence of strains — rotations of fluid fragments by the action of shear stress.
V. N. Manzhai +2 more
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2023
How can we describe relative approximation error? When the value b approximate a value a, the usual description of this error is the ratio |b − a|/|a|. The problem with this approach is that, contrary to our intuition, we get different numbers gauging how well a approximates b and how well b approximates a.
Ceberio, Martine +2 more
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How can we describe relative approximation error? When the value b approximate a value a, the usual description of this error is the ratio |b − a|/|a|. The problem with this approach is that, contrary to our intuition, we get different numbers gauging how well a approximates b and how well b approximates a.
Ceberio, Martine +2 more
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The Chebyshev Approximation by the Logarithm of a Rational Expression
Cybernetics and Systems AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malachivskyy, P. S., Melnychok, L. S.
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Cybernetics and Systems Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malachivskyy, P. S. +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malachivskyy, P. S. +2 more
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CHEBYSHEV APPROXIMATION BY THE LOGARITHM OF A RATIONAL EXPRESSION
KIBERNETYKA TA SYSTEMNYI ANALIZA method for constructing the Chebyshev approximation with absolute error by the logarithm of a rational expression is proposed. It is to construct an intermediate Chebyshev approximation by a rational expression with a relative error of the exponent of the approximated function.
P.S. Malachivskyy, L.S. Melnychok
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Expressing relative differences (in percent) by the difference of natural logarithms
Journal of Mathematical Psychology, 2014Most psychophysical investigations measure stimuli or performance in Systeme International units and use relative differences between them for comparison. In this theoretical note, we propose the ratio’s natural logarithm or the difference between the Napierian logarithms, as a desirable measure of relative differences between two psychophysical ...
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2018
Facial expression recognition system requires sufficient detailed image textures to distinguish emotions. However, the traditional Face Illumination Removal approach seem to break this condition providing illumination invariant inputs with heavy corrupted textures.
Xiaohe Li, Xingming Zhang
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Facial expression recognition system requires sufficient detailed image textures to distinguish emotions. However, the traditional Face Illumination Removal approach seem to break this condition providing illumination invariant inputs with heavy corrupted textures.
Xiaohe Li, Xingming Zhang
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Wei sheng wu xue bao = Acta microbiologica Sinica, 2009
Expression difference of heterologous recombinant protein in Pichia pastoris with different specific growth rate (mu) was observed. The expression conditions of recombinant human interferon omega (rhIFN(omega)) in logarithm phrase Pichia pastoris with higher mu were optimized by shake flask tests under various initial pH, methanol concentration ...
Hong-Chun, Pan +4 more
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Expression difference of heterologous recombinant protein in Pichia pastoris with different specific growth rate (mu) was observed. The expression conditions of recombinant human interferon omega (rhIFN(omega)) in logarithm phrase Pichia pastoris with higher mu were optimized by shake flask tests under various initial pH, methanol concentration ...
Hong-Chun, Pan +4 more
openaire +1 more source