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In normal representation of wavelet coefficients, it is not possible to define the changes (Figure 6).
In all but the normal representation, wildcards were used for halogens and aliphatic heteroatoms with an extra label indicating the atom type.
This applies both for a normal representation (Figure 3) of wavelet coefficients and for a square representation (Figure 4) of wavelet coefficients.
It detects lines by mapping the image in the Cartesian space to the polar Hough space using the normal representation of a line in x-y space (Figure 4(a) and 4(b)): Figure 4 Hough Transformation for bond detection.
When it comes to normal representation of wavelet coefficients (Figure 3), the resolution is much better in the lower frequency area; the reaction of each single tooth at the frequency of 380 Hz is expressed there.
Interestingly, the BCR repertoire that was found before rituximab treatment showed a normal representation of VH families for the IgM, G, and A isotypes.
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In HS flies, fewer KCs had a diminished capacity for odor learning, but these remaining neurons had superficially normal projections and sustained relatively normal representations of odor memory.
A mean of 98.5% of the sequenced 1-Mbp windows from the 19 normal plasma samples showed normal representations in plasma.
Suppression of oligopurine/oligopyrimidine stretches, especially R15, is most common among hyperthermophiles, whereas mesophiles and psychrophiles exhibit normal representations of these patterns (Table 3 and Supplementary Table S12).
The total number of bimodal genes was not sensitive to the p-value cutoff for bimodal versus skewed normal representations of the gene expression distribution within the ranges considered: the bimodal gene list increased by only three genes when the p-value was increased from 0.001 to 0.01.
In contrast to the male controls, the 1-Mbp window z-scores showed a substantial variability and only a mean of 79.3% of the sequenced 1-Mbp windows from the 13 plasma samples showed normal representations in plasma in contrast to 99.0% of the cross-validated z-scores in the sample of controls (P=0.00007, Wilcoxon test on sample percentages).
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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