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In the second phase, the consequent parameters are identified by support vector machine whose kernel function is constructed by fuzzy membership functions and the Gaussian kernel.
We characterize the spectrum of Hμ by constructing auxiliary operators whose kernel contain the pure point and singular subspaces of Hμ, respectively.
Packed-tube reactors can be modelled, under mild restrictions, by an integral equation whose kernel (Green's function) is measurable in heat transport experiments with nonreacting solids and fluids.
To certain highest weights λ, we associate a first-order group invariant linear differential operator Dλ; whose kernel contains a unitary highest weight representation with highest weight λ.
The analytic continuation of this evolution to complex times of positive imaginary part is represented by a Hilbert Schmidt operator whose kernel is determined in closed form.
In 2010, Jin and Debnath [15] generalized the Hilbert-type linear operator whose kernel is symmetric and homogeneous of degree −1.
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The genetically engineered corn in Oaxaca was probably the progeny of corn ears that had been legally imported for animal feed but whose kernels had been illegally used for planting.
We also consider Hankel operators whose kernels have a strong singularity at some positive point.
We derive sampling representations for transforms whose kernels are either solutions or Green's matrix of the problem.
We derive sampling representations for transforms whose kernels are either solutions or the Green's matrices of the problem.
In this theorem, sampling representations were given for integral transforms whose kernels are more general than exp ( i x t ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com