As was established in section 2.2, the second definition of the M-estimators is based on the existence of the influence function ψ x, θ) = ∂ ρ x, θ)/ ∂ θ.
Obviously, all the theoretical properties established in Section 4.3, as well as the basic Lemma 1, hold for each one of the M independent filters.
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In subsection (a), the words "directed to be established in section 725p of this title" are omitted as surplus.
As applications, several inequalities related to generalized Gini-Heronian means are established in Section 4.
The generating function of Genocchi polynomials is similar to those of Bernoulli and Euler polynomials, so it may be expected that the Genocchi numbers also satisfy similar identities as those established in Sections 3 and 4.
This reinforces the result previously established in section 6.7.
These results are directly deduced from sufficient conditions for essential uniqueness of their associated constrained PARAFAC models, as established in the previous section.
'The limitations established in sections 301, 302, 303, and 304 shall not apply to an abortion.
Hence, it follows clearly that achievable rates for C RS and C RS p are also achievable for C B as established in Lemmas 1 and 2. In this section we investigate an achievable rate region for C B. We first analyze two achievable rate regions, one for C RS and another for C RS p, and then state the overall achievable rate region.
