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For that purpose, define the monetary damages due to urban warming as the sum of costs to deal with public damages: (varPhi equiv sum_{beta in mathbf{B}}D_{beta }(U)).
The declaration allowed for $46 million in relief for public damages and $265 million for insured damage in the state.
The official damage estimates tend to focus on public damages such as public buildings, roads, irrigation systems, communication systems, electricity systems, and schools.
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In this case, the private gains are modest and the public damage is huge.
Particularly important are externalities where the public damage done undermines the sustainability of business activity itself.
The episode caused deep concern within the Department for Education (DfE) – fearful of the public damage a delay in publishing the results could cause.
Turnbull's appeasements to enemies have disconcerted the public, damaging the source of his power, his bankable currency for the Liberal party, which has been his strong connection with the public.
He says Reclaim may "never recover" from the public damage caused by a photograph of the swastika on the back of May's skull at Reclaim's first rally in April.
In addition to infrastructural and public damage, the environment sustained catastrophic losses on Tonga.
Few things rival a kid tantrum for shock, awe and (especially in public) damage to the parental ego.
Homer starts to work for them, developing a good friendship, but he soon reveals their secrets to the public, damaging his new friendship with them.
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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