Exact(48)
The governing and discretized equations are solved using IGA rooted in non-uniform rational B-splines (NURBS) basis functions, which have high-order continuous derivatives and facilely satisfy the C1-continuity condition of the RPT.
Various sets of predictors, including class variables derived from the available soil map and continuous derivatives from a Digital Elevation Model (DEM) and from Landsat-imagery were incorporated.
Throughout this section, let E denote the set of all functions x in C ( [ − r, ∞ ), R ), which are continuously differentiable on the interval [ 0, ∞ ) and have bounded continuous derivatives on [ 0, ∞ ).
Moreover, this solution has continuous derivatives with respect to initial data.
where the function f(t) has absolutely continuous derivatives up to order n - 1.
A spline function of degree d would have continuous derivatives of up to (d-1).
Similar(12)
(C^{1}(mathbb{Z}_{p}rightarrowmathbb{K }) denotes the set of continuous derivative functions.
Moreover, this unique solution has a bounded continuous derivative with respect to x.
Moreover, k is continuous and has a continuous derivative of order 1 with respect to the first argument.
We consider the following assumptions: (f1) (f:[0, infty tomathbb{R}) has continuous derivative. (f2) (f(0)<0) (semipositone).
For each t∈[ 0,1], both f t,z) and ϕ β,t) have the 2nd continuous derivative almost everywhere.
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