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When phase is monitored for intervals longer than its angular period, temporal phase wrapping occurs, which prevents standard approaches to handling time-series data, such as regression or curve fitting.
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The analyses shows that the supporting effect of staircases alters natural period, angular displacement between the layers and internal forces in frame columns of the whole structure and makes great influence on the whole structure strength.
Accounting for the sinusoidal external neutron source, q ( t ) = q 0 sin ω t ( ω = 2 π T, where ω ( s - 1 ) and T ( s ) are angular frequency and period of source, respectively) can be useful for indicating the environment effects in neutron density [16].
While observations extending over centuries are required for finding the necessary parameters (e.g., periods, angular range between maximum and minimum values, and the like), only the computational apparatus at their disposal made the astronomers' forecasting effort possible.
The residue harmonic balance method is used for generating the higher-order approximations to the angular frequency and the period solutions of above mentioned fractional oscillator.
During that period, the angular diameter of Moon will decrease in size, meaning that it will no longer be able to completely cover the Sun's disk as seen from Earth.
In this configuration, the rotation speed of micromotors oscillated as a function of the angular position with a period of 360°.
The number and the value of the angular positions, the time periods over which the angular positions should be adjusted, the size, the aspect ratio, between the length and the width of the reflector, and the overhangs are parameters treated simultaneously with a global optimization procedure.
This results in a non-zero angular momentum averaged over the period.
From the maps of regional contribution to atmospheric angular momentum (AAM) over the period 1948 2011 (NCEP/NCAR reanalysis data) time domain excitation in Chandler frequency band was extracted by Panteleev's filtering method.
Here, jext is the extraneous (impressed) current, time-harmonic dependency is e -iwt, μ 0 is the magnetic permeability of free space, (i = sqrt { - 1},omega = 2pi /T) is the angular frequency, T is the period of the variations, σ r, ϑ, ϕ is the conductivity distribution in the model, and ϑ and ϕ are co-latitude and longitude respectively.
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