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Now, smooth coordinate changes applied to such a description will generate distinct mathematical representations of that Humean mosaic, given using distinct coordinatizations of the field-stuff.
We shall denote the other coordinate in (mathcal{U}) by ρ, and assume that there exists a smooth coordinate transformation (x rightarrow(theta, rho)).
The super-grid-scale model consists of two parts: reduction of an unbounded to a bounded domain by a smooth coordinate transformation and a damping of those scales.
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First the Zhuravlev non-smooth coordinate transformation is adopted to convert a vibro-impact oscillator into an oscillator without barriers.
The main techniques used in modeling include power-law phenomenological modeling, Hertzian modeling, and non-smooth coordinate transformations originally developed by Zhuravlev and Ivanov.
In view of their effectiveness, both Zhuravlev and Ivanov non-smooth coordinate transformations will be described and assessed for the case of ship roll dynamics experiencing impact with rigid barriers.
Smoothed coordinate data, ground reaction, and gravitational and inertial forces will inform an inverse dynamics model to calculate 3D moments and forces at the hip, knee, and ankle joints using Visual 3D Standard 4.0 clinical gait analysis software (C-Motion, Germantown, MD).
The smoothed marker coordinate data were analyzed using plug-in gait inverse dynamics model and results extracted using a MatLab script (version 2010b, The MathWorks Inc., Natick, MA).
In Sweden the polska is a turning dance in 3/4 time, usually for couples, who grasp each other firmly and pivot around and around with a smooth, carefully coordinated step.
The transcription factor myocardin in smooth muscle cells has been shown to coordinate smooth muscle cell differentiation through the induction of microRNA-143.
In truth I was more stenographer-typist than author, smoothing and coordinating bits of draft from various people, including Caddell, Stuart Eizenstat, and Carter himself.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com