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This covariance can be converted to a more convenient scalar value giving a bound on the root mean square error (RMSE) using the trace operator: (34).
Under stronger assumptions, the Berry-Esseen theorem, or Berry-Esseen inequality, specifies the rate at which this convergence takes place by giving a bound on the maximal error of approximation between the normal distribution and the true distribution of the scaled sample mean.
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(3) Maximum Coverage Problem: Given a bound on the cost, how can we get the maximum possible coverage?
Inspired by ideas on stabilizing model predictive control, a terminal cost term is used, which gives a bound on the infinite horizon cost functional and ensures stability.
The following theorem gives a bound for (vert u_{m}^{n+1}(x -w^{n+1}_{m}(x -w^{n+1}_{m
The following proposition gives a bound on the Hilbert Schmidt norm.
The following theorem gives a bound on the solutions of equation (55).
We give a bound of the constant C ( h ) of (3.3).
In the first of them we give a bound for the distance between a continuous function and its projections.
It can be found in [2] (cf. [7]) which gave a bound in terms of Bernoulli number ; that is, (42).
We first give a bound for the ∥ B ~ i p ∥ Open image in new window then use the lemma (1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com