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Based on this reformulation of the problem and subsequent derivation of an accurate log-likelihood function for the received pilot tones, we derive in detail the CRB for the joint parameter estimation problem under consideration.
Subsequent derivation of prediction rules was established with the aim of analyzing molecular structures and mechanisms by means of 114 residue compositions for venom toxins.
The subsequent derivation of the actual tensile strength exhibits smaller differences between the room and high temperature exposed specimens while curing.
VV illustrates the joint process of video analysis and subsequent derivation of representative presentation of essence of visual contents [2].
The gap filling approach enabled to accurately approximate the original Landsat ETM+ and OLI EVI values and the subsequent derivation of annual phenological metrics.
Proof of Theorem 7 The first step involves a combination of formulas (25) and (28) with subsequent derivation of an integral representation for the probability of interest, where the integral over (mathbf {R}_^{1}) is similar to those considered in Vinogradov (2008a, formulas (27) and (32)) and Paris and Vinogradov (2015, formula (3.31)).
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Though Frege derived Hume's Principle from Basic Law V in the Grundgesetze, the subsequent derivations of the fundamental propositions of arithmetic from Hume's Principle do not essentially require Basic Law V.
Although Frege used his inconsistent axiom, Basic Law V, to establish Hume's Principle, once Hume's Principle was established, the subsequent derivations of the Dedekind/Peano axioms make no further essential appeals to Basic Law V. Following the lead of George Boolos, philosophers today call the derivation of the Dedekind/Peano Axioms from Hume's Principle 'Frege's Theorem'.
For notational simplicity, in all subsequent derivations, we omit the functional dependence of A k on p∖k.
A brief review of the micropolar continuum theory is presented for using in the subsequent derivations.
In the first part of this section, the well-known RLS algorithm is briefly reviewed to form the basis for the subsequent derivations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com