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In order to build the ODEs, we first needed to concisely represent the compartments and the fundamental components of whole-body cholesterol metabolism diagrammatically.
To concisely represent these images, the five coefficient images were mapped onto a five color scheme: red, greed, blue cyan and magenta (RGBCM).
We used a hierarchical clustering method to concisely represent the expression profiles of all the 1,854 differentially expressed probesets, and the intersection between these probesets and those selected by matching tomato vs. potato at a 70% perfect alignment (%_PERF_ALIGN) threshold.
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Phase behavior is quantitatively and concisely represented in the form of temperature-composition phase diagrams.
Data modeling concisely represents the endless body of dry material requirements that tend to obscure the more structural and powerful design facts of a complex business application.
An overlapped chunked code can be more concisely represented by a collection of index sets of size m.
A lesson graph concisely represents the full lesson divided into descriptive segments that show the mathematics unfolding as well as the teacher and student interactions.
A valid solution of the source/sink flow field due to the injector and producer wells, with strengths m s (m2 s−1; using SI units), can be concisely represented by the following vector field (Weijermars et al. 2016): V_{1} (z) = sumlimits_{s = 1}^{n} {frac{{m_{s} }}{{z - z_{s} }}} (1).
Both forms of causation may be concisely represented in ML-Rules, allowing for the specification of multi-level models.
The main result can be concisely represented by the following simple formula: K = min r, Pmin), where Pmin is the minimum pleiotropy among all legitimate pleiotropy measures and r is the rank of mutational effects.
Since P is assumed to act independently on nucleotides, the mutagenic PCR process for codons is concisely represented by (3) M = P ⊗ P ⊗ P, where M is a 64 × 64 linear Markov operator that operates on the space of codon frequencies and '⊗' denotes the standard Kronecker matrix-product.
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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