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First, the success of this year's Dr Who Prom shows what an invaluable gateway into classical music this is proving for children.
Fast-forward 12 months, and the annual white-knuckle ride is proving, for the time being, at least, to be rather more enjoyable this time round.
Militant Islamic extremism, in its Afghan and Iraqi guises, is proving, for now, to be an ideology that can be contained but not defeated.
Sir David Attenborough is urging the public to take part in the Big Butterfly Count so that scientists can discover just how disastrous the unsettled weather is proving for Britain's 59 butterfly species.
Almost inevitably, considering how piercing this pointed rivalry is proving for Ferguson, Mourinho was rewarded for his decision not to keep the normal League Cup goalkeeper Carlo Cudicini, whom he promises to bring back for the final.
A piece in Sunday's Times promised to explain something puzzling: To understand how hard it is proving for President Obama to close the American military prison at Guantánamo Bay, consider the case of Alla Ali Bin Ali Ahmed, Internee Security No. 692.
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Uniqueness is proved for a regular solution.
Hermeticity is proven for all different designs.
Next, under proper assumptions, asymptotic stability is proved for constant commands, while bounded stability is proved for varying commands.
Stability of the scheme is proven for constant elliptic coefficients.
A local uniqueness is proved for the inverse problem.
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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