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The TTO method may be considered finalized when it satisfies all of its requirements.
First, the provision of public goods per se, when it satisfies the Samuelson's rule, is only potentially Pareto-improving.
This solution is optimal when it satisfies constraint (29b), otherwise it is suboptimal.
Such an operation is said to be associative when it satisfies f(f x, y), z) = f x, f y, z)) for all x, y, z in X.
(Fin C^{mu}[0, 1]) is sequentially compact when it satisfies the characteristics of uniform boundedness and equicontinuity.
When it satisfies the above conditions, it can be shown that a=frac{2c}{x_{M}-x_{m}} (29).
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A signature was determined to be uniquely rescued by V5-MEK1cr or V5-MEK2cr when it satisfied two criteria.
A gene was considered to show transcriptional changes when it satisfied two conditions: (1) up-regulation or down-regulation more than 1.2-fold after K+-deficiency treatment; (2) a fold-change P-value of less than 0.05.
A given gene was declared to be differentially expressed when it satisfied two criteria: (1) at least a 2-fold change in mRNA level during germination and (2) statistical significance under the applied threshold cut-off q < 0.01 (1% FDR) [ 31, 32].
end{aligned} Furthermore, when (zinpartialOmega), it satisfies equation (17) by replacing ζ with z.
In short, a simulation run stops when either it satisfies one of the C1 stop conditions or it reaches the final time period Tf. Figure 4 plots the frequency distribution of the stop conditions reached by all simulations we run.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com