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Letting t → ∞ we have a negative upper bound for the function z and large t.
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Some novel sufficient conditions for absolute stability of Lurie systems with single nonlinearity are obtained by estimating the negative upper bound on its total time derivative.
The free energy here is a variational free energy that provides a computationally tractable upper bound on the negative logarithm of Bayesian model evidence (see Appendix 1).
For negative argument we have an upper bound greater that 1, which suggests that the Turán-type inequality for positive x does not hold for negative x, as numerical experiments show.
But it still had value as a way to set an upper bound on the collision rate.
Secondly, it provides a minimized upper bound on the output.
Therefore, we use the current FAA regulation as a conservative upper bound for safety.
A new upper bound for the Damköhler number associated with diffusion controlled reaction rates is suggested.
We now discuss a useful upper bound.
we get a sharpen upper bound.
From this, we can obtain a throughput upper bound.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com