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Ratner established rigidity for dynamical systems on homogeneous spaces – these are spaces in which the neighborhood of any point looks just the same as that of any other point.
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In this case, we establish rigidity in the following slightly stronger form.
An original formulation establishes the rigidity of sound and damaged teeth.
They are the same as those that beset any older, established organization: bureaucratic rigidity and an inability to adapt quickly to new challenges.
Thus, the polyanions behaved like semi-rigid copolymers in NaCl solutions and followed the same rigidity trends established for the intrinsic statistical segment lengths above [25].
These data indicate that two-dimensional imprinting technologies are useful tools for in vitro cell phenotype maintenance, rather than for organised neotissue formation in vivo, should multifactorial approaches that consider both surface topography and substrate rigidity be established.
There has been a mercurial sense to Milan fashion week so far this season; the long-standing home to established brands known for their rigidity has suddenly seen them shifting and changing with a new-found verve.
For the Ginibre ensemble, rigidity has been established by Ghosh and Peres [7]; see also Osada and Shirai [16].
The existing impulses for change are for the most part superimposed by structural rigidities and the established patterns of perception fostered by them.
The behavior of natural frequencies of linear systems under an increase of rigidity or inertia is established by the classical Rayleigh theorem [1].
Therefore, various prospective nanomaterials that possess a much lower flexural rigidity than their bulk counterparts have rapidly established themselves as promising electronic materials replacing rigid silicon and/or compound semiconductors in next-generation wearable devices.
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