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We show that the Laplacian acts as one would expect an elliptic pseudodifferential operator of order d+1 on a space of dimension d to act, where d is determined by the growth rate of the measure of metric balls.
However, in the current problem, we are working on a space of discrete sensor locations.
For example, consider a self-map on a space of real-valued functions on some set.
This aspect distinguishes modal interpretations from many-worlds interpretations, where the probability measure is defined on a space of events that are all actual.
s-convex functions defined on a space of real numbers was introduced by Orlicz in [4] and was used in the theory of Orlicz spaces.
As an application, we combine such estimates with a new technique to prove the L1-uniqueness of the induced Kolmogorov operator, defined on a space of cylindrical functions.
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"Great to know!" said I. "They're on a space on one of our display tables".
The set of continuous linear forms (conjugates or dual space) on constitutes a space of distributions, denoted by D ′.
Cinefamily prides itself on being a space of safety and communion ― it is time for further action to be taken to ensure that".
He finally got the weights arranged, one on top of another, in a space of only 3 inches wide.
Subsequent analyses were performed on preprocessed data in a space of 3-mm resolution aligned with Talairach space.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com