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In the early stages, searching and indexing can be performed on the chemical subject of the calculations, and well defined calculation meta-data.
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In contrast to other available colorectal cancer risk calculators, our calculator uses well defined and validated risk factors for the calculation of the risk.
Under the assumptions (A1), (A2) and (A4), it is easy to check that the functional A is well defined on X, by similar calculations as in [23].
More importantly, contrary to straightforward k.p approach [26], piezoelectricity would not alter symmetry of the Hamiltonian which is already well defined by atomistic strained positions entering the TB calculation.
The relevance of the method is confirmed on linear neutral chains of poly (ethylene oxide) (PEO) in well defined situations and compared with the simple theoretical calculations of a mean field theory or some scaling arguments.
The potential for attempting such calculations in the present circumstances is well defined by the success of previous similar examinations on the energetic materials PETN and RDX [7] and the inorganic materials calcite and sodium nitrate [34].
end{aligned} (3.2) By direct calculation, we know that the operator Q is well defined.
A change of variables and straightforward calculations show that the map γ is well defined.
Recognizing that the calculation of efficiencies was not always consistently done or well defined in the literature, we first developed a consistent methodology for reevaluating the candidate thermochemical cycles.
A simple calculation as in [3] implies that the functional Φ is well defined on X.
However, the slope calculation in this range is somehow difficult since the peaks are less well defined, with a high degree of overlapping in some cases.
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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