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You can eliminate the valedictorians from high school but you can't eliminate them from life, which metes out Super Bowl rings and stock options with an uneven hand, and is probably best tackled with some preparatory girding for that.
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Some preparatory work has been done.
One thinks especially perhaps of the book illustrator Edward Ardizzone, though according to Ackerley's biographer, Peter Parker, Lucian Freud did some preparatory drawings for the original book.
For this purpose, some preparatory concepts are needed.
This section is devoted to some preparatory results.
Theorem 3.3 will be proved after some preparatory lemmas.
The proof is given at the end of the subsection after some preparatory lemmata.
The theorems of the following section require some preparatory results which we group together here.
To do this, we need some preparatory knowledge about non-Newtonian calculus.
Next we shall do some preparatory work from Lemma 3.1 to Lemma 3.7.
In order to render the main results as transparently as possible, we also give some preparatory lemmas and theorems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com