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All these quantities are always positive or zero.
As the weights of corresponding support vectors, its values are always positive or zero as we pointed out before.
Thus, if, then. is always positive semidefinite or negative semidefinite.
Since ωAA/AA> ωAA/AA* for every amino acid, DAA/AA* is always positive, and since there are three possible mutants for each position, there are nine possible measures of DAA/AA* for each codon, corresponding to nine possible mutant codons.
As stated in the previous proposition, the sum of these two effects is always positive (the blue curve is always increasing in r).
Since the coefficient σ in equation (4.22) is always positive in the pattern-forming region, we distinguish two cases for the qualitative dynamics of the Stuart-Landau equation (4.22) according to the sign of the Landau constant L: (i) (L>0), the supercritical bifurcation case; (ii) (L<0), the subcritical bifurcation case.
When μ8= min{μ5,μ8} in (123), then ρ s 2 r = 2 τ g 1 p P 1 + g 2 p P 2 g s p λ P s + N 0 - τ g 1 p P 1 g s p λ P s + g 2 p P 2 + N 0 + τ g s s P s + g 1 s P 1 g 2 s P 2 + N 0. In the above formula, the difference between the first two terms is always positive and decreasing as λ increases.
In the model, CYP1A2 induced is always greater than CYP1A2 basal, and the difference between these two values is always positive.
For all values of 0≤λ≤1, the difference between the first two terms in (124) is always positive and decreasing as λ increases.
No matter how angry or sad it is, his work is always positive.
Area is always positive.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com