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This justifies the first part of Claim (ii).
When (n ge 4), this justifies the second part of Claim (ii).
The first part of Claim (iv) is standard (it also follows from Theorem 1.5, see B.8.ii below).
The first part of Claim (vi) is [53, Proposition 10]; the second part is implicit in [133], and explicit in [53, Proposition 5.18]).
This illustrates part of claim 2. It indicates that if you could either overcompensate a person who deserves a negative amount of welfare, or undercompensate him, by the same amount, it is better to undercompensate him.
We prove that the expected value of the first return time is finite and, using a theorem based on return times, derive the upper part of claim \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$b $$\end{documentt} (b ).
Similar(52)
This, however, is precisely the part of claims-making that interests them: 'the part that can have an impact on the perceptions of the public or on policy making' (p. 25).
If you're a small nuclear power, missile-mounted warheads as opposed to bulky warheads that are only good for tests—are a crucial part of claiming you can nuke the US mainland.
The latter part of the claim is more convoluted.
Prosecutors alleged that a small part of the claim — less than five per cent — was fraudulent.
They were being investigated by the police and were part of a claim for civil damages before the High Court.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com