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where E s, E n − s, s = s 1 + s 2 + ⋯ + s r 1, are the s × s or ( n − s ) × ( n − s ) respectively identity matrices, I = diag ( I 1, …, I r 1 ) is the quasi-diagonal matrix consisting of nilpotent Jordan blocks I i, i = 1, …, r 1, of orders s i. (2) there exists the general solution of system (1) in the form x ( t, c ) = X n − s ( t ) c + x ˜ ( t ) (6) .
It depends on the point of view, which part of identity respectively identity diffusion is focused in research and (clinical) practice.
A total of 61, 514, 666 and 1,204 matches revealed strong similarity to TvMULE1, TvMULE2, TvMULE3 and TvMULE4, respectively (identity >80% and E ≤ e-20).
However, high levels of homology were noted between matching genes belonging to the two different species, with 97% (DHN4) and 99% (DHN1, DHN2 and DHN3, respectively) identity at the nucleotide level.
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The nucleotide sequences of the S and M segments were 91%and90%0%, respectively, identical to TUNV (98% and 97% aa identity, respectively).
where E p × q and O p × q are, respectively, the identity matrix and the zero matrix whose sizes are p × q.
Two phenylalanine ammoniam-lyase genes (PAL2 and PAL3) described in Petroselinum crispum aligned with Contig21482 and Contig28113 (2,553 and 2,560 nt, respectively) with identities of 90 and 91%, respectively (Table 2).
The promoter regions of dsx1 and dsx2 have much less conservation than their respective protein coding regions, which have 84%and83%3% sequence identity, respectively (92%and84%4% sequence identity at synonymous sites on protein coding region, respectively).
EspM1 and EspM2 are closely related to the Shigella WxxxE effector IpgB2 (40%and41%1% identity respectively) while sharing only 23% and 22% identity, respectively, with Map of EPEC E2348/69 (Fig. 1).
NL2011 and NL2013 showed slightly decreasing similarity to HK2005 (96.86% and 96.59% identity, respectively) and HK2008 (96.97% and 96.69% identity, respectively).
Three and four events imply a total of four and ten triad identities, respectively, and in general a given higher order identity will yield (binom {n+1}{3}) triad identities.
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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