Sentence examples for remarkable congruence from inspiring English sources
We prove that Φ is a modified exponential, and deduce some remarkable congruence properties for the set of all numbers C, for fixed N. We prove a concise upper bound for C, which describes the asymptotic behaviour of the up down function C in the limit C⪡(N+1)!
This genetic clustering into HIFLEX and LOFLEX strategies shows remarkable congruence with the clones' phylogeny (Figure 6).
At a gross morphological level there appears to be a remarkable congruence between the filamentous Fe oxyhydroxides produced by strains PV-1 and JV-1 and the ferrihydrite-rich stalks produced by Gallionella ferruginea [24].
Relationships among marsupial orders resulting from our analysis show remarkable congruence with recent results based on nuclear DNA sequences except for the branching order between Dromiciops and clade 'A' (Notoryctes+Dasyuromorphia + Peramelia) and for the position of Peramelia which is variable within clade 'A' [7], [32], [33].
There was a remarkable congruence between the nuclear (microsatellite) and the mitochondrial (mtIGS) data.
In summary, we found remarkable congruence in genes regulated by progesterone and MPA.
Comparison with the complete proteomes of B. malayi and C. elegans showed a remarkable degree of congruence in annotation spectrum in the two parasitic nematodes.
As seen in Figure 3, the gene conservation profiles of some of these strain pairs showed a remarkable degree of congruence, with CGH profiles showing Pearson Correlation coefficients greater than 0.95 on the strength of similarities at multiple hypervariable loci.
Nevertheless, it is remarkable to realize the high degree of congruence between the phylogeny of the HADH2 genes and the assumed eukaryotic phylogenetic tree, given the shorter size of the HADH2 sequences (522 bp, excluding third-codon position) and the great evolutionary divergence of the species analyzed (>1 billion years).
A survey of mitochondrial genomes for presence of ribosomal protein genes reveals a striking congruence with the plastid ribosomal core (fig. 1), and it is remarkable that this convergence has apparently not previously been noted.
It is invariant under the matrix inversion and congruence transformations: d(A,B =dbigl(A^{-1},B^{-1}bigr)=d bigl MAM^,MBM^bigr) (4.3) for any nonsingular matrix M. One remarkable and useful result is the nonpositive curvature property of the Thompson metric: dbigl(X^{r},Y^{r}bigr)leq rd X,Y), quad r in[0,1].
