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In addition, the Cusick-test may assign a low rank to a highly monotonic gene that contains some outlier samples which in fact do not adversely affect monotonicity.
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We demonstrate in simulation that the combined control scheme maintains a highly predictable, monotonic system behavior; and achieves near perfect tracking within a few trials regardless of the uncertainty present.
Figure 4(A) shows how hard it is to change the DEtotal of a highly confident monotonic gene even after randomly altering the expression values of all samples.
Highly significant monotonic trends (F = 144.1, p < 0.0001 for sugar and F = 21.2, p < 0.0001 for fat) indicated agreement between these different approaches to ranking children on their sugar and fat intakes (unpublished results).
However, these features exhibit a highly non-monotonic behavior as the bearing condition degrades.
Finally, the effect of isotropic and linear kinematic hardening is found to be highly non-monotonic and non-trivial upon porosity ratcheting for most cases considered here.
Especially for systems with highly non-monotonic input-output relationships we expect difficulty in finding suitable equivalence classes.
The Pearson and Spearman coefficients above 0.98 indicate that our metric is highly accurate and monotonic.
The solution of a classic pure advection transport problem is shown to be conservative, monotonic and highly accurate at large time steps.
The piecewise quartic method (PQM) is presented, based on fifth-order accurate piecewise polynomials, and is motivated by the need to significantly improve hybrid coordinate systems of ocean climate models, which require the remapping to be conservative, monotonic and highly accurate.
Of the three most highly induced genes under monotonic p53 in response to high DNA damage were two cell-cycle arrest genes, that is, CDKN1A (approximately 30-fold increase) and GADD45A (approximately 60-fold), and one pro-death gene, NOXA (approximately 35-fold).
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