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This translates into a smooth behavior of the trend.
Moreover, these limits are singular, meaning that the smooth behavior of a quantity or pattern is disrupted, often by becoming infinite (Friedrichs 1955; Dingle 1973; Primas 1998).
When using wavelet decomposition, the key point is to ascertain which subband is the most liked with the smooth behavior of the intensity signals.
Implementing the above mentioned strategy of frequently penalizing the nodes with higher residual energies balances energy consumption resulting in smooth behavior of the proposed schemes.
Usually, during the modeling process, the SA is controlled through a rather simple regularization imposing smooth behavior in space and time.
Here, one can fully appreciate the importance of nonlinearly removing the outliers, i.e., local weight values departing from the generally spatially smooth behavior.
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For overcoming this non-smooth behavior of solutions, using the appropriate coordinate transformation the primary system is changed into a new IAEs which its solutions have better regularity.
The non-idealities in hardware implementation of designed modulation schemes such as the non-smooth behavior of the modulator around zero also contribute to additional discrete origins for the pulses.
The Heaviside enrichment function is used to represent a jump across a discontinuity surface in a split element, and the non-smooth behavior around the crack tip is described using the semi-analytical SBFEM.
Remarkably, the smoothest behavior and the smallest uncertainties are observed in the electric phase tensor.
Moreover, we observed the smallest uncertainties and the smoothest behavior for the electric phase tensor.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com