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We recently reported in sorghum (Sorghum bicolor L). that there exists a sharp difference in the degree of both genetic and epigenetic instabilities at randomly sampled genomic loci under tissue culture between F1 hybrids and their parental pure lines, with the former being highly stable while the later highly mutable [ 13].
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There exists a sharp density jump at the fluid interfaces in most of interfacial flows encountered in engineering applications.
Proposition 4.3 The inequality in Theorem 4.4 is sharp; that is, there exists a convex function such that (9) is satisfied with equality.
If for some operators T and R there exists a function f ∈ W turning the above inequality into an equality then the corresponding Kolmogorov type inequality is sharp.
Nonetheless, there exists a significant difference between models.
Like this, there exists a difference threshold for an image with different scale.
There exists a 608-s time difference between the two rectangles.
However, there exists a key functional difference between these two systems.
There exists a marked interracial difference in the frequency of the CYP2C19 polymorphisms.
But there is a sharp difference in the situations.
There is a sharp difference between Chinese students and international students.
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