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(4) Index of space displacement ISD.
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We show that the absolute numerical index of the space Lp is p−1pq−1q (where 1p+1q= 1).
α represents the attenuation index of free space with a typical value of 2 for single frequency [28].
Furthermore, BVGI may provide a virtual visualization index of green space in urban planning and replace the traditional green indexes at a community scale for urban administrators.
If you were inside the building, you could just wander, letting your feet find their way intuitively through this precisely calibrated index of sophisticated spaces.
In this paper, we compute the Bourgain ℓ1-index of the space T F0, θn,Fn n=1∞).
At the same time, the DB index of this feature space should have the minimum value and the accumulative variance contribution of this feature space should be larger than 90%.
As another application, we give a complete characterization of those ordinals which occur as the Szlenk index of a Banach space, as well as those ordinals which occur as the Bourgain ℓ1 or c0 index of a Banach space.
We apply our results to the Kuratowski measure of non-compactness and to the study of the Szlenk index of a Banach space.
However, infinitely many kinds of results can not be obtained form this method, since the index of the whole space if finite.
For further results about the Boyd index of quasi-Banach spaces, the reader is referred to [12, 13].
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