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At point (V m, I m ″ ), begin{aligned} left.
Open image in new window Fig. 6 Curve of dP/dV at point (V m, ( I_{{text{m}}}^{primeprime} )) in (59).
The PDF using the histogram estimation at point v can be expressed as. hat{f} v) = frac{1}{nh}sumlimits_{i = 1}^{n} {I v_{i} )I V)} (1 where I V) is the indicator function, which is 1 provided that v ∈ B j and is 0 otherwise.
Then, with the RVKDE algorithm, the value of f at point v is estimated as follows: where 1) ; 2) R(s i ) is the maximum distance between s i and its k nearest training instances; 3) Γ is the Gamma function [ 35]; 4) β and k are parameters to be set either through cross validation or by the user.
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It displays a strong up-shift of transcriptional activity at sampling point IV followed by a decrease at sampling point V.
Thus for a fixed B, the value of h at which the saddle-node bifurcation occurs (and the solution at that point, v) satisfy F ( v, h, B ) = 0, (62).
We define by N C (v) the normal cone for C at a point v ∈ C, that is, (2.4).
where p ∈ ∂ J ( v ) is an element in the subgradient set of J at the point v.
At every point, V is greater or equal to 0, with equality implying that the front never reaches the point.
At this point v a = v b and flow is equal to nμ, where μ is the normal capacity per lane.
where v is some point in the line segment linking the points |x (k+1)| and |x (k)| and ∇2 F ε (v) is the Hessian matrix of F ε at the point v.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com