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We illustrate the added value and the complementary information provided by singularity theory with one distinguished parameter.
Singularity theory with a distinguished parameter, as developed by Golubitsky and Schaeffer, is a very useful tool for predicting the influence of changes in a control or design variable on the steady-states of lumped-parameter systems.
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The chromosomes appear uniformly dense with scarcely distinguishing parameters.
Also, soil water retention, soil pH, total N and exchangeable K were distinguishing parameters among slope positions.
The chromosome number of Chenopodium quinoa is 2n = 4X = 36 with a diploid genome of 967 Mbp, but the chromosome sizes are very small and basically without distinguishing parameters to be able to enable traditional karyotyping or develop biomarker libraries.
Tee depth is found to be the key parameter distinguishing failure modes between buckling and Vierendeel bending.
The following results show that the two models can be distinguished for parameter values such that the two models are sufficiently different, which will be defined below in Sect.
The rationale for the distinguishing parameter set for T1DM and healthy individuals is a self-regulating feedback-loop of insulin receptor transcription and recycling rates.
The PCA analysis clearly distinguished the parameters under study into 2 PCs with 75.20 % cumulative variance (Fig. 6).
Looking at the sensitivity of experimental constraints with respect to parameter variations, we distinguish "critical" parameters, which have strong effects on the total objective function, from "dispensable" parameters, which have little or no effect on the total objective function.
We identify six different special points, and analyze and classify the six possible (out of 612 combinations) patterns of concentration peak and intersection times and values that distinguish the parameter subdomains and sometimes can eliminate the mechanism.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com