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Moreover, the semigroup S has a smooth representation independent kernel and we derive bounds on the kernel and all its derivatives.
A novel cell clustering approach for polynomial reconstruction in the vicinity of the small cells is proposed and is shown to achieve smooth representation of flow field quantities and their derivatives on immersed interfaces.
The level-set method has been recently introduced in the field of shape optimization, enabling a smooth representation of the boundaries on a fixed mesh and therefore leading to fast numerical algorithms.
We display the probabilities as a map by using relatively coarse binning (3.3 mV) as this increases pooled samples and reduces timing jitter, thereby giving a smooth representation of the recorded "input-output" dynamics (Figs. 2B C).
With refinements, dynamic programming nicely fills the missing gaps and gives a smooth representation of the lumen (Fig. 9B).
KDE methods are used to give a smooth representation of the intensity of a point process [ 29].
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Applying the aforementioned methodology without the time-scaling option to RNA-seq data, we estimated the smooth representations of the underlying gene expression in Th0 and Th17 lineages.
The model includes the well-defined branching structure of the largest villous tree branches, as well as a smoothed representation of the small terminal villi that comprise the placenta's gas exchange interfaces.
In the limit of h tending to 0, the smoothing function W becomes a Dirac delta function, and the smoothed representation A s (r) tends to A(r).
The number of retained low-order principal components M of D can be treated as a tunable free parameter to obtain a more or less smoothed representation.
An appropriate value of is chosen to produce a smoothed representation of stationary coefficients, keeping the variations of nonstationary (dynamic) coefficients still intensive.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com