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For curvature correction of simple objects as the one we are presenting, it is not necessary to use this rotational function.
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The equilibrium equations are formulated in terms of displacement and rotational functions.
The governing equations are obtained in terms of displacement and rotational functions.
The displacement and rotational functions of the plates are approximated by sets of boundary characteristic orthogonal polynomials.
Assuming the solution in a separable form, a system of coupled differential equations in displacement and rotational functions are obtained and these functions are approximated by Bickley-type splines of order three.
The proposed solution algorithm involves (1) sets of mathematically complete two-dimensional polynomials (p − 2) used as the admissible displacement and rotational functions, and (2) a basic function (b) formed from the piecewise expressions for the boundary and internal line/arc supports.
To analyze dynamical properties, we calculated the rotational autocorrelation function of each helix and the cross-correlation of the rotational velocity between adjacent helices.
Cell cultures were prepared with a VWR Incubator (Sheldon Manufacturing, Cornelius, OR) at 30.5 °C and a 120 rpm rotational shake function for liquid solutions.
It can be seen that Equation (2) can be formulated as being composed of three rotational correlation functions of the form, where p and q are component functions; denotes the complex conjugate (when e is a real valued function, the complex conjugate). of a function e.
This paper first derives the characteristic frequency of the rotational pendulum as function of the rotational rate.
It is shown that a proposed analytical expression accurately fits simulation data of Hagen et al. (Physica A 272 (1999) 376) for the rotational velocity autocorrelation function of interacting Brownian particles.
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