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Patterns arising out of diffusion of information are better studied using algorithms from computer science.
These results promote the Turing patterns arising from the Lengyel-Epstein reaction-diffusion system.
Such controls present a challenge by obscuring subtler patterns arising from subsequent pedogenic processes.
Flow patterns arising out of density differences depend on height to width ratio (aspect ratio (AR)) and temperature difference.
As a non-invasive method, we use lacunarity and fractal dimension to quantitatively describe the patterns arising within the system during the different stages of the penetration process.
The characterization of complex patterns arising from three-phase (e.g., oil gas water) flows is an important problem with significant engineering and industrial applications.
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Moreover, other load patterns (quasi-continuous patterns) arise from filtering (for example HPAC with inverters).
The same patterns arise, and the corresponding proportionality test does not reject.
Complicated transport patterns arise even for simple bimolecular reactions, when all species exhibit different migration velocities.
A large variety of design patterns arose since decades, as well as several performance antipatterns have been defined.
Although the math may be beautiful, plant biologists have not worked out a mechanistic model that fully explains how the sunflower seed patterns arise.
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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