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Let U : Grp → Set be the forgetful functor, that is, the functor that sends to each group G its underlying set of elements U G), and to a group homomorphism f : G → H the underlying set function U f) : U G) → U H).
Informally, the underlying set W is a set of situations, and R is an accessibility relation connecting situations.
The putative xylose metabolism functions of D. geothermalis appear to represent an expansion of a pre-existing, broad and diverse set of functions underlying the saccharolytic phenotypes of all Deinococci [7], [11], [49], [50].
The formulation is rather general due to its invariant properties with respect to the underlying plate kinematic theory and the admissible set of Ritz functions.
The first set of basis functions captures the small-scale heterogeneity of the underlying permeability field, and it is computed in order to construct the effective coarse-scale transmissibilities.
Structures of mammalian mitoribosomes reveal details underlying the function of this divergent class of ribosome.
The idea is to pose an integral formulation of the equation in terms of the underlying Green's function of the fractional operator to subsequently use numerical quadrature to obtain a set of ordinary differential equations.
The molecular mechanism underlying regulation of mitochondrial function by Snail is under investigation.
Underlying consequential reasoning is a set of simpler cognitive functions that, taken together, allow a patient to appreciate information.
However, the detailed mechanism underlying the function of PHD1KDM5B in the demethylation process remains unclear.
However, the mechanisms underlying the function of the FA pathway remain less understood.
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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