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Scaling up from pilot plant to commercial-scale facility presents a whole new layer of challenges that may prove unsolvable.
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His conflict with them has proved unsolvable by political means.
Even more important, Bradley's perimeter pressure proved an unsolvable puzzle for Jason Kidd, Pablo Prigioni, and J.R. Smith, the Knicks' seasoned backcourt that was left shaken (and in Smith's case, bloodied) by Bradley's suffocating defense.
'A fortiori it is not certain that any mathematical problem can either be solved or proved to be unsolvable,' Brouwer says (1907 [1979] 79]), 'though HILBERT, in "Mathematische Probleme", believes that every mathematician is deeply convinced of it.' Wittgenstein takes the same data and, in a way, draws the opposite conclusion.
The structure of the proof is similar to proof of the previous lemma: if there is a solution to a graph with cycles, then one can solve the well-known set agreement problem [14], which has been proved to be unsolvable (see [21]).
Employing these ideas to prove that the Entscheidungsproblem is unsolvable.
We prove that if G is unsolvable, then G does not admit an exceptional simple group of Lie type as its socle.
Kleene, together with Alonzo Church, Kurt Gödel, Alan Turing, and others, developed the field of recursion theory, which made it possible to prove whether certain classes of mathematical problems are solvable or unsolvable.
In particular we look at the unsolvable block transitive automorphism groups of 2- v,5,1) designs and prove the following theorem.
Moreover, for a 2- v,9,1) design, we also prove that there does not exist any block transitive, point imprimitive, unsolvable group G of automorphisms.
Eight hundred and forty-two days after he was appointed by President Barack Obama to solve what has proven to be an unsolvable problem, Mitchell resigned in frustration on May 13 , 2011
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