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The approximate formula of Section 2 for the MSE of the ML estimator, which can only be applied with a perfect PLE (γ=γ0, i.e., δ γ =0).
Also, a combination of formulas (12), (15) and (37)–(39) implies that given p∈[1,+∞), (mathbf {V}_{{mathcal Z}_{p}}(mu) sim mu ) as μ ↓0, which is consistent with (43) (see also Jørgensen (1997, Proposition 4.12 and the last formula of Section 4.6)).
Section 3(c) contains a "bail-in" or "pocket trigger" process by which jurisdictions that fall outside the coverage formula of Section 4(b) may become subject to preclearance.
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Amounts withheld from apportionment to a State under this subsection shall be apportioned to the other States pursuant to the formulas of section 104(b)(1) and shall be available in the same manner and to the same extent as other Interstate funds apportioned at the same time to other States.
The output of the DFT is analysed by means of the analytical formulas of Section 2, according with the case study, to obtain the value of instantaneous flicker sensation (PU). 5.
The structure of the MLP keeps unaltered in terms of hidden and output layers, yielding a restored image x ^ of size L. To finish, we remove the operator trunk from all formulae of Section 4 assuming an aperiodic model (zero-padded) of the extended image x+.
The Supreme Court's decision in Shelby County v. Holder, striking down the coverage formula for Section 5 of the Voting Rights Act, made it easier for states to forge ahead with laws restricting the vote.
Formula No. 3 of section 1401 of title 10, referred to in subsec.
We shall rewrite the expression for Lcrit in a somewhat more informative form which, moreover, facilitates the comparison with the formula at the end of Section 4 in Potapov and Lewis (2004).
The new FEM program is developed by using beam elements and new general formulas of cross-section properties as well as a new warping constant of the I-girder with trapezoidal web corrugations.
The moment modification factors are obtained by using the finite element method with beam elements and new general formulas of cross-section properties as well as a new warping constant of the I-girder with trapezoidal web corrugations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com