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A model using an overlapping set of peptides was also derived that could differentiate malignant from benign disease, albeit with a lower, but respectable, accuracy.
The kinematic model of the rover is also derived that gives the wheel velocity ratio as it traverses different gradients.
As human losses depend on the exposed population, as suggested by Samardjieva and Badal (2002) for a worldwide model, here a Mediterranean model was also derived that considered the exposed population (POP.Unit) and damage.
It is also derived that the system in the absence of delay remains locally asymptotically stable when (b>d) and (ab>cb-cd+e) (Theorem 2.13), which means that phytoplankton blooms will not occur.
An expression for the rate of accumulation of the adsorbed species was also derived that should find use in adsorption process modeling, as it accounts for both pore and surface diffusion in a simple formulation.
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From (3.2), we also derive that { u n } is bounded.
From (3.5), we also derive that ({u_{n}}) is bounded.
From (3.6) and (3.7), we also derive that and are bounded.
Remark 4.2 Using the above methods, one can also derive that for any positive integer n, ∑ i = 0 n ( n i ) ( − q ( x ) ) i k F p, q, ( n − 2 i ) k ( x ) = 0, (4.9).
Remark 2.1 With the same argument, we can also derive that the solution y h ( ⋅ ; y 0 h, 0 ) of (1.4) also satisfies the following inequality: ∥ y h ( t ; y 0 h, 0 ) ∥ ≤ ∥ y 0 h ∥ e − ( λ 1 − L ) t for t ≥ 0. (2.4).
Such a conclusion would also derive that there is no effect of the mutual information measures on the agents' fitness.
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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