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Furthermore, using the hypothesis of conformity on Δ, these obtained quantities vanish.
Again, using the hypothesis of Theorem 2.1, we get c z 2 α + ( 1 - z 2 α ) z F ′ ( z ) α F ( z ) ≤ 1, and hence proved.
Using the hypothesis of imposed harmonic motion for the submerged structure, we solve the linear hydrodynamics problem in the frequency domain by employing a semianalytical method based on oscillating Stokeslets.
Because the transaction frequency and the price change frequency of the commodity are lower than those of the financial assets, using the hypothesis of a geometric Brownian motion to describe the change in the commodity price is not intuitive, but it is still reasonable.
The failure of a simple model of independent link conservation obviously does not preclude the possibility that more sophisticated model variants using the hypothesis of independence (such as introducing an asymmetry between 'fast' versus 'slow' evolving nodes as in ref. [ 21]) might be useful to describe the system.
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By using the hypotheses of the mappings B, g, G, T, N, η 2 and R ρ 2 n, N B, η 2 in Theorem 5.1, and the same method as the one above, we can get.
This formula uses the hypotheses of independence between sources and equal catchability by each source.
The term "proprioception" was developed in 1906 by Sherrington [ 1], who first used the hypotheses of the "proprioceptive field," the "proprioceptive reflex," and the "proprioceptive system".
This machine uses the hypothesis space of the linear functions in a high-dimensional feature space, and it is trained with a learning algorithm based on optimization theory.
To measure the correlation between expression and methylation genes, Pearson's linear correlation two-tailed test was used, with the hypothesis of no correlation using a Student's t distribution for a transformation of the correlation.
Nonparametric bootstrap confidence intervals and p-values of approximate significance tests using the null hypothesis of zero correlation were calculated.
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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