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This can be seen by translating the fixed point to the origin, and then performing a local change of coordinates to map the curve of fixed points to one of the axes.
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The basic idea of GHT is to map the curves in measurement space to peaks in the parameter space.
As a first step towards this goal, we tested our algorithm on two 3-dimensional surfaces with multiple local optima, but only one global optimum, as well as on the N-queens problem, an applied problem in which the function that maps the curve is implicit.
The periodic structure of the tuning curve Ω i (x) reflects its symmetries, that is, the set of vectors that map the tuning curve onto itself.
Second, we could not determine the optimized cutoff value because we failed to obtain the raw data to map the ROC curve.
In the map, the "flat" curve means that the SNPs are in strong linkage disequilibrium, i.e., the recombination rarely occur between them, while the "steep" curve means the recombination occurs frequently in this part of chromosome.
For each refinement, in addition to calculating the FSC between the refined model and the map it was refined against (the FSCwork, red curves in Figure S3), we also calculated a cross-validated FSC between the refined model and the other half map (the FSCtest curve green in Figure S3).
ξ together with τ map the planar curves into 3D space.
Fig. 4 Near infrared spectra of binding media applied on microscope slides: animal glue (red curve), egg tempera (light blue curve), linseed oil (orange curve), peach glue (magenta curve), gum Arabic (blue curve), beeswax (brown curve) compared with the corresponding spectrum of a green fragment from the Selden map (black curve) and the spectrum of cellulose (Whatman CC41, green curve).
Fig. 5 FTIR-ATR spectra of binding media (small samples taken from those used in Fig. 4): animal glue (red curve), egg tempera (light blue curve), linseed oil (orange curve), peach glue (magenta curve), gum Arabic (blue curve) compared with the corresponding spectrum of a green fragment from the Selden map (black curve) and the spectrum of cellulose (Whatman CC41, green curve).
The primary patient outcome was inhospital mortality, while the secondary outcomes were ICU length of stay (LOS) longer than 3 days, HE duration longer than 1 h, Hypotension Severity Index (HSI), defined as the MAP curve area below 60 mm Hg during the HE and any increase in serum creatinine level within 3 days following the HE. Figure 1 illustrates how we calculated HSI for each HE.
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Justyna Jupowicz-Kozak
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