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In the sequel, we will deduce the exact expression of the integral kernel related to the unique solution of Problem B.
We prove global sharp estimates for the heat kernel related to certain sub-Laplacians on a real semisimple Lie group, from which we deduce an estimate for the corresponding Green function.
Because of the availability of focus stacks as reference data, we have been able to quantifiably determine a suitable standard deviation for the Gaussian kernel related to the depth of focus.
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In the extended method, the pressure measured on the hologram plane is expressed as a superposition of time convolutions between the time wavenumber normal acceleration spectrum on a virtual source plane and the time domain propagation kernel relating the pressure on the hologram plane to the normal acceleration spectrum on the virtual source plane.
In the auditory system, the stimulus-response properties of single neurons are often described in terms of the spectrotemporal receptive field (STRF), a linear kernel relating the spectrogram of the sound stimulus to the instantaneous firing rate of the neuron.
This paper deals with geometric properties of sequences of reproducing kernels related to de-Branges spaces.
The SPICE kernels related to Akatsuki are summarized in a meta-kernel file (e.g., vco_v01.tm) provided at the Akatsuki Science Data Archive.
The strength of the D-optimality OFR is owing to the fact that the algorithm automatically selects a small subset of the most significant kernels related to the largest eigenvalues of the kernel design matrix, which counts for the most energy of the kernel training data, and this also guarantees the most accurate kernel weight estimate.
In this section, we briefly describe several string kernels related to our work.
We are hopeful that this repository will provide detailed information about how kernels influence behavior, the circumstances in which they do or do not work, and any iatrogenic effects, potential positive or negative combinations of kernels not documented presently, variations of kernels related to cultures or other establishing conditions, and proximal and distal behavioral effects.
As for the inverse kernel problems related to the integro-differential equation, in [16] [19] efficient strategies to prove the existence and uniqueness of inverse memory kernel problems were given.
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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