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In addition, the stability of neutral states are examined by relaxing the angular periodicity.
Here, m is the angular mode index, which is integer if angular periodicity prevails, i.e., m ∈ ℤ.
Recall that a non-integer m refers at most to curved bends or partial arcs, because it does not satisfy angular periodicity.
Instead, we reaffirm that m ∈ ℤ employed in separating given PDEs into ODEs is really the correct one in conformity to the angular periodicity.
In addition to its capacity to extend the modeling to non-stationary operating conditions, the model proposed highlights the angular periodicity of the rotating motor's geometry.
In addition, the π or π/2 angular periodicities of I1130|| plots are indicative of a preferred molecular orientation (θ p ) nearly parallel or perpendicular to the articulating surfaces, respectively, while the constant intensity (no angular periodicity) trend implies the isotropic molecular structure (no preferred orientation).
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The central section will have a periodicity and angular orientation with respect to the mean ray that reflects the desired wavelength.
Since the angular displacement is periodic when rotating by 2π radians, most rotary machine systems present certain cyclic behaviors with a fixed periodicity which is either a fraction or multiple of 2π.
This is important, because it allows to inspect temporal delays between the variables on the two timescales, and uncovers possible synchronization that is otherwise masked by low-periodicity phenomena or lost by the lack of angular phase information (when reconstructing the signals only based on their spectral amplitude).
This multilobe signature and the ratio between diffraction patterns for parallel and perpendicular polarizations show how critical the choice of periodicity is with respect to the illumination λL in the BE angular emission properties.
Each periodicity was unique.
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