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One is relation with respect to verb part and the second relation is with result part.
Differentiating above relation with respect to, and with (4.12), we have (453).
Features are described with a central value, a percentage of imprecision and a relation with respect to the central value.
According to this method, the cohesive law is obtained by differentiation of such relation with respect to the crack opening.
In the car following models, the behavior of the car is described based on the relation with respect to the car ahead.
The molecular weights increased linearly with the conversions of monomer and the apparent polymerization rate exhibited first-order relation with respect to the concentration of monomer.
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Legal relations with respect to objects are described in the following articles: property law; copyright; patent; trademark; trust.
Differentiating these relations with respect to time, one obtains recursion relations for the time derivatives of the harmonic functions.
MCHP permits to consider preference relations with respect to a subset of criteria at any level of the hierarchy.
The governing equations include the equations of motions and partial differentiation of elastic constitutive relations with respect to time.
Fig. 3 Intensity of international C&T-trade relations with respect to directly embodied C&T-labor, 1995 (upper panel) and 2009 (lower panel).
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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