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A new, very simple expression for the narrow aperture dimension of the horn is obtained and used in the optimum gain pyramidal horn design.
There is an ongoing scholarly debate about whether Kant's conception of mathematical form is a direct expression of the narrow-mindedness of his logical theory, or instead a direct expression of the striking originality of his philosophy of mathematics (Parsons 1983, Friedman 1992, Hanna 2002, Shabel 2003, Hanna 2006b, ch. 6, Shabel 2006).
Although preliminary, the present findings indicated that the commitment and differentiation of normal human mammary cells are associated with the differential expression of a narrow panel of genes coding for some regulatory proteins belonging to the Polycomb and Trithorax groups or that are involved in the epigenetic control of gene transcription.
This may, however, simply be another expression of the metastoma getting comparatively narrower through ontogeny, as the angle is defined by the breadth of the flanking shoulders.
While ionomycin affected expression of a narrow group of genes, with downregulation of plastid gene expression being most pronounced, A23187 caused a broad transcriptional shift that is consistent with a developmental arrest in the schizont stage.
For example, an expression of the form '___ has the (narrow) content that [p]' is said to have as its extension "in any possible world the class of brain state tokens whose (broad) content is p, along with physically identical tokens in all doppelgangers of people who harbor tokens whose broad content is p" (Stich 1991, p. 247).
Importantly, we found that expression of the intermediate target Col was dramatically narrowed in hh-Gal4; UAS-reggie-1 discs grown at 25°C, while the domain of the long-range target Ci-155 wasignificantlyly broadened.
For example, overexpression of reggie-1 erodes the Wg gradient, resulting in a loss of the short-range but not long-range targets, whereas loss of reggie-1 makes the gradient steeper, narrowing the domain of expression of the long-range targets, but not affecting the short-range target genes.
Visualisation of the expression patterns of the Dpp target genes Race and u-shaped (ush) in tld E839K homozygous mutant embryos reveals that expression of the peak threshold gene Race is lost and expression of the lower threshold gene ush is narrower than in wild-type embryos, suggesting shallow gradient formation, consistent with the previous characterisation of this allele as weak.
While the expression of the strongly upregulated genes that appear to be direct targets of a MOP1-mediated pathway varied significantly, the distribution of confidence of expression was higher and had a narrower range than the entire set of mop1-1 DEGs (Fig. 5B) and the average P value decreased when genes were categorized using multiple features (Fig. 5C).
However, we present four examples of the narrowing of the expression patterns of human XCR genes.
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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