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These expressions are based on idealized analytical solutions modified by virtue of finite-difference solutions and experimental data.
These expressions are based on the notion of objectively quantifiable performance measures, which are introduced through a set of "performance indicators".
The multi-linear springs temperature expressions are based on the ambient temperature formulations proposed in Eurocode3 Part 1.8 where material properties are considered temperature-dependent.
The approximate expressions are based on a simple Lorentz function, and are usable for introducing various families of defects, such as mirror shape accuracy, alignment and tracking errors, and astigmatism.
These expressions are based on the results of an extensive parametric study concerning the inelastic response of a large number of frames to a large number of ordinary far-field type ground motions.
The error expressions are based on a general form of the corresponding difference equation and a temporally and spatially weighted parametric approach is used for differentiating among the various finite difference schemes.
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Modeling of these expressions is based on fuzzy sets theory.
Reaction rate expressions were based on proposed reaction mechanisms using the Langmuir-Hinshelwood approach.
V c and V s expressions were based on ACI 318-11.
Transcripts were assembled using the Cufflinks software and gene expressions were based on fragments per kilobase of exon model per million mapped reads (FPKM) values.
Gene expressions were based on reads per kilobase of exon model per million mapped reads (RPKM) values [ 72].
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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