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As the cloud collapses, conservation of angular momentum causes any small net rotation of the cloud to increase, forcing the material into a rotating disk.
The shape of the tectonic equator, the lithosphere net rotation main directions and velocities are reported in Additional file 1: Figure S1.
The (X_{0}) determines the net rotation enacted in a gate while (X_{3}) determines the modulation depth, as represented in (a).
The direction of the Himalaya subduction is along the trend of the tectonic equator that deviates from NE to SE moving from India to China as indicated both by plate motions in the last 50 Ma and the GPS data in the no-net rotation and net rotation reference frames (Crespi et al. 2007).
Note that the first-degree term in the toroidal expansion corresponds to the net rotation of the lithosphere, which depends on an absolute reference frame; we therefore do not discuss this term in this study.
Although not strictly an independent parameter it is useful to include (theta_{l} = Omega _{l}tau_{l}) in the argument to distinguish different realizations of the same net rotation for different choices of (Omega_{l}tau_{l}).
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Pearson's correlation coefficient and regression analysis were used in order to evaluate the association between behavioral parameters and net rotations in rotational behavior test.
The number of clockwise and counterclockwise turns were counted and expressed as the number of net rotations to the lesioned (ipsilateral) hemisphere (net rotations to ipsilateral hemisphere = ipsilateral rotations – contralateral rotations).
The number of clockwise and counter-clockwise turns was counted and expressed as the number of net rotations per 120 minutes to the lesioned (ipsilateral) hemisphere.
NA12 is designed to have no-net rotation with respect to the stable interior of the North America tectonic plate, realized by a 30-station core subset.
Using this limit, the marginal present value of an additional $1.00 of discounted net revenue from the last rotation is less than $0.003.
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