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For every starting point x ∈ X the Picard iteration sequence ( T n x ) converges to ξ.
For every starting point x ∈ X the Picard iteration sequence ( T n x ) converges to ξ. (iii) A priori error estimate.
In the following lemma, we show that if T is a quasi-contraction of a cone metric space X, then for every starting point x ∈ X, the Picard iteration sequence ( T n x ) is bounded in the space X.
In the case illustrated in Fig. 1, it might look as if the duplications and deletions are symmetrical because for every starting position, losses and gains compensate each other.
After a ten minute break the subject was repositioned on the wobble board and a fourth trial of 40 seconds was repeated for every starting position in the same order as the first time.
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These floor fields act as a potential, driving pedestrian towards the destination (one floor field exists for every destination): starting from every destination defined in the scenario, the information are spread into the environment according to a particular method.
The influx of wealth has also enabled the district to buy an iPad for every student, starting in the seventh grade.
We collate the player rating scores from across the national newspapers (where available) to produce an average for every Premier League starting player who featured over the weekend.
7. ASOS Already established as an online shopping mecca, ASOS stocks hundreds of lingerie options for every budget, starting at a fiver and going up to over £150.
More important — and unlike last season — Real Madrid's established stars are not only showing glimpses of brilliance, but also fighting for every ball, starting with Mourinho's flashy and at times theatrical countryman Cristiano Ronaldo.
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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