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Water probably flowed across ancient Mars, but whether it ever exists as a liquid on the surface today remains debatable.
Here the vector h belongs to the tangent cone to the set ({ xin X:F x)=0 } ) at (x^{ast}) and p is taken so large (if it ever exists) that the operator (Psi_{p}(x^{ast},h)) turns out to be surjective (the so-called p-regularity condition).
High interactivity of contemporary software that allows for dynamically representing problem contents are not utilized fully in mathematics classrooms yet and 'The royal road to the educational use of computers, software and communication technology within mathematics teaching and learning is still to be discovered, if it ever exists' (Laborde & Sträßer 2010, p. 125).
How far away from it are we?... Most people I talk to say 10 to 15 years, if it ever exists at all.
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Clark's State House dome was an immediate sensation, both because of its highly distinctive style -- nothing like it ever existed in Britain, for example -- and because of the wonderful views from its observation deck.
The general public will barely notice its departure, given that not many people know it ever existed.
He also questioned whether it ever existed.
"No, I don't think it ever existed," he said.
Did it ever exist and might it exist now?
Whether it ever existed as we conceive it is debatable.
Nothing like it ever existed before, at least over here.
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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