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Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.
Recursive design of control function based on contraction theory framework is proposed instead of traditional Lyapunov based method.
To the best of authors' knowledge, most of the previous research on existence of almost periodic solutions for impulsive differential equations was based on Contraction mapping principle.
The amoeboid movement, which is potentially faster than the mesenchymal one, does not rely on integrins, focal contacts and extracellular matrix degrading enzymes; it is mainly based on contraction of actomyosin filaments which enables the cells to squeeze through the extracellular matrix without the requirement of matrix degradation.
Healing was assessed based on contraction of wound size, mean epithelisation time, hydroxyproline content and histopathological examinations.
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The authors insist that in the long term, the right way to cut emissions is not according to politically negotiated targets, but rather "based on the contraction and convergence approach".
And there was disbelief about the government's budget based on a contraction of just 0.5% next year; most independent analysts forecast a drop two or three times larger.Is Mr Rajoy again playing local politics ahead of this month's elections in his native Galicia, or of the inevitable bail-out?
The following existence result is based on the contraction principle.
Suitable adaptation laws for unknown parameters are proposed based on the contraction principle.
Our proof is based on a contraction argument using the Up and Vp type function spaces.
These results are then confirmed by a deep theoretical analysis based on the contraction mapping theory.
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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