Microbial ecology is currently undergoing a revolution, with repercussions spreading throughout microbiology, ecology and ecosystem science. The rapid accumulation of molecular data is uncovering ...

We stress that the moment evolution equations are well-known, but their explicit derivation from the master equation cannot be found in the literature to the best of our knowledge, and so we provide ...

Representing chemical data; linear dependence; equation of the line; interpolation; parabolic behaviour; inverse proportionality (hyperbolic behaviour); Cartesian representation of a function ...

Abstract: Problems involving the classical linear partial differential equations of mathematical physics can be reduced to algebraic ones of a very much simpler structure by replacing the ...

With Julius, you can solve complex math equations, including algebra, calculus, and trigonometry, by simply scanning the problem. It provides detailed, step-by-step explanations to ensure users fully ...

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Research Faculty of Agriculture, Hokkaido University, Sapporo, Hokkaido 060-8589, Japan ...