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" 'Look Sharp!' " a man yelled.
"She was sharp," a third attendee said.
Sharp, a Fulbright scholar, attends N.Y.U.'s graduate film program.
Or maybe it's not so sharp a turn.
Think how sharp a paper edge can cut.
What could push a man to hang his hat on so sharp a nail?
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When asked if games are art, Sharp -- a former art historian -- said, "Some games are".
Observe bigl(Abigl(A^Abigr)^{sharp}A^bigr) bigl(Abigl(A^A bigr)^{sharp}A^bigr)=Abigl(A^Abigr)^{sharp}A^ and bigl(Abigl(A^Abigr)^{sharp}A^bigr)^=Abigl(A^A bigr)^{sharp}A^, which implies that (A(A^A)^{sharp}A^) is an orthogonal projection.
end{aligned} (5 Using (4), one can show that (phi ^{sharp }) is multiplicative and begin{aligned} phi ^{sharp } u. a,v))=phi ^{sharp }((a,v).u =varphi ^ u phi ^{sharp }(a,v ain A, u,vin mathfrak {A}^).
If (Ainmathcal{B(H }) has a closed range then (A(A^A)^{sharp}A^) is the orthogonal projection onto ranA.
Graham Sharp, a founding director, is based in Kensington.
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