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Distributions in jet production often depend on a soft function, S, which describes soft large angle hadronic radiation between the jets.
end{aligned} Let (f:(X,tau _1,E rightarrow (Y,nu _2,K)) be a soft function defined as in (1), then f is soft b-continuous function but not soft semi-continuous. .
Now, take a soft function T : F → ˜ F by the formulae: T ( p, ∅ ) = ( p + 1, ∅ ), p ∈ E, T ( p, { u } ) = ( p + 1, { u + 1 } ), p ∈ E, u ∈ ( p, p + 1 ]. Then T is obviously a soft continuous mapping, T ( X ) ≠ X for any X ⊆ ˜ F and, clearly, T does not have a fixed point.
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Third, a kind of soft function was used to reduce the oscillation caused by sliding mode control.
Among them, soft is a soft threshold function.
Let f : X → Y be a soft continuous function.
The task of every node is computed a weight for the sum of its inputs and is passed through a soft nonlinear function.
Utilizing a soft switching function, the problem of jump in the actuator force during fused vision/force control of the nanomanipulation can be overcome.
Following the wavelet shrinkage idea which was proposed by Donoho and Johnstone [22], the curvelet shrinkage operators can be taken as a soft thresholding function defined by a fixed threshold, that is, (16).
A soft threshold function (power = 4) was applied to the resulting adjacency matrix based on the criterion of approximate scale-free topology (minimum power for which the scale-free fit coefficient > 0.9).
For Rosetta, the protocol described earlier was used, which includes repacking of all residues in the protein with a soft-rep function (Kellogg et al. 2011).
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