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Exact(38)
where and converges for each.
Moreover, if converges for each, then strongly converges to a fixed point of.
Thus, we can assume that the sequence converges for each as.
Since is a 2-Banach space, the sequence { 2 j f ( x 2 j ) } converges for each x ∈ X.
Since is a 2-Banach space, the sequence { 1 2 j f ( 2 j x ) } converges for each x ∈ X.
We know that ∑ k a ( n, k, m ) x k converges for each m, n and x ∈ ω ( p, s ).
Similar(22)
Computational experiments show that the algorithms are effective (all 448 tested problems are solved optimally) and efficient (it only takes a few iterations to converge for each tested problem).
We know that ( a ( n, k, m ) ) k and u k are in ω + ( p, s ) and that the series ∑ k a ( n, k, m ) x k and ∑ k u k x k converge for each m, n.
In the first, we analyzed 1000 simulated data sets, and included the result in the calculation of probability of rejecting the exponential model only when the fitting routine converged for each exponential model (that is, a subset of the 1000 simulated data sets).
The backfitting procedures to estimate the model successfully converged for each day of the study period.
In particular, it takes 3 min to converge for each 3D volume, whereas both ITK algorithms require ∼30 min for the same task.
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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