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where K is a bound for the bounded sequence { d ( x 0, T n x 0 ) } n.
Theorem 2 provides a bound for the worst-case performance given a bounded noise n, i.e., ({left | mathbf {n} right |}_{2} leq C), where C is an absolute constant [36, 37].
It is well known that a lower bound of the sectional curvature of (M,g) is again a bound for the curvature of the quotient space, which is an Alexandrov space of curvature bounded below.
Now, we need a bound for the ∥ ϵ i p ∥ Open image in new window.
To this purpose, the first step usually consists in deriving a bound for the blowup rate.
However, getting a bound for the solution could be considered as a substantial step forward.
A bound for the ergodic sum-rate is presented in "Ergodic sum-rate" section.
A bound for the ergodic distribution is given in Theorem 4.4 which is sharp.
A bound for the maximum likelihood (ML) detection performance was derived in [36].
The property of stability and a bound for the Hausdorff distance are established under suitable conditions.
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Even though The Bronx just got signed to Def Jam for more money than you'll ever have in your life, they're neither an over-hyped rapper nor a bound-for-disaster Rick Rubin ego project (remember Palo Alto?).
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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