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From a mathematical standpoint, the problem under consideration is addressed through a system of first-order singular PDEs for which a rather general set of solvability conditions is derived.
From mathematical standpoint, the role of the variable y ( t ) is to decrease the value of x ( t ).
From a mathematical standpoint, the snowball effect, and therefore the reciprocal dependence between headways and dwell times, results in a fixed-point problem formulation.
From a mathematical standpoint, the elastography inverse problem consists of identifying the variable Lamé parameter μ in a system of linear elasticity where the underlying object exhibits nearly incompressible behavior.
From the mathematical standpoint the results are as complete as they could ever be: even the multi-variable generating function was computed (albeit in the mean-field limit).
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From the mathematical standpoint, all the constants in Eq. 4 and Eq. 5 are arbitrary but for biological applications, they should be chosen appropriately so that the functions S t) and R t) are non-negative for all values of t.
From a mathematical standpoint, this shouldn't be all that surprising.
From a mathematical standpoint, if the crane payload trajectory is to be defined analytically, the polar coordinate system, r, θ), is naturally the most suitable.
Although the control-theoretic features revealed are themselves interesting from a mathematical standpoint, they serve the broader purpose of establishing fundamental limits on the selective control of neurons with common inputs.
In this context, the mixture cisplatin-paclitaxel behaves as third drug to the cells and, consequently, from the mathematical standpoint it was considered as just one treatment or drug.
It is a challenging problem from a mathematical standpoint, particularly given that the states cannot be expected to behave independently from one another.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com