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Due to uncertainties in system parameters, measurements and in the modeling of physical processes itself, deterministic approaches for the simulation of those processes are not appropriate.
In recent years, significant improvements have been reached both in the technology of hydrocarbons pyrolysis for olefines production and in the modeling of the kinetic schemes involved.
Recently, it has also been proved that fractional differential equations are significant and essential tools when applied in the study of nonlocal or time-dependent processes and in the modeling of many applications, including chaotic dynamics, material sciences, mechanic of fractal and complex media, quantum mechanics, physical kinetics, chemistry, biology, economics and control theory [8].
Since the development of the first mathematical model of insulin-glucose dynamics in the early 1960s, there has been a massive breakthrough, both in the number and complexity of models, and in the modeling approaches developed to understand the underlying mechanisms in glucose homeostasis, diabetic conditions, and associated complications.
The famous girls (and in the modeling business, women are always called girls) don't arrive until the last moment.
Other examples of double diffusive convection are encountered in diverse applications such as in chemical and petroleum industries, filtration processes, food processing, geophysics and in the modeling of solar ponds and magma chambers.
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Moss's influence could be seen in the chunky gold necklaces slung outside of chambray tunic dresses and in the models' casually centre-parted hair.
Cézanne's eye and hand overtly grapple with the fundamental dynamics of painting, most dramatically in the description of planes and in the modelling of masses not by illusionistic shading but by contrasts of color.
In nature and in the model, rifting starts in the central branch corresponding to Lake Baikal.
In the field and in the model, most of the flow and transport take place in fracture zones.
Note that both in the model of Gaussian and in the model of Lifshits Slezov, QDs distributions a single distinctly expressed maximum of absorption is observed.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com