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Conversely, double inequality (12) reveals that one can also deduce corresponding bounds of the ratio Γ ( x + 1 ) Γ ( x + s ) for x > 0 and 0 < s < 1 from bounds of the ratio Γ ( x + a ) Γ ( x + b ) for positive numbers x, a, and b.
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From the fundamental integral equations, a series of integral equations for special cases are deduced corresponding to practical contact situations.
At last, a consensus sequence of 1296 bp was deduced, corresponding to partial ORF that encode RTase and 3' UTR.
From the exposure-specific in vitro toxicity data, we deduced corresponding lowest observed effect levels (LOELs) and compared them with similar studies available in the literature.
Multiple-sequence alignments of nucleotide sequences and the deduced corresponding amino acid sequences were performed in the software BioEdit Sequence Alignment Editor version 7.0.9.0 with manual adjustment.
The HAMP gene nucleotide sequences obtained from the analyzed primate species, and the deduced corresponding amino acid sequences, are reported in Figures 1 and 2. They clearly demonstrate a high identity to the human sequence at both the nucleotide and amino acid levels.
As applications, we deduce the corresponding results for Ky Fan's points, Nash equilibrium and variational relations.
As special cases, we can deduce the corresponding results given in these works from Theorems 2.1-2.6 2.1-2.6
In Section 3, we estimate the moments and central moments of the revised operators (2) and then deduce the corresponding results of a bivariate case.
To deduce the corresponding number of photons collected in the first lens, we calibrate all the optical loss by using a cw laser at 1320 nm.
As a consequence, it becomes possible to deduce the corresponding Markov inequality from the known Bernstein inequality and the new Schur-type inequality with logarithmic weight.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com