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Mr. Williams's conjecture was surely astute.
The conjecture was heightened because Mr. Nixon had strong ideas about America's place in the world.
But all the conjecture was without a shred of evidence, and soon hit a dead end.
The conjecture was potentially important for scientists studying the largest known three-dimensional manifold: the universe.
If it found an even number that wasn't prime, it would stop and you would know the conjecture was false.
His prolific work ethic, some conjecture, was driven by a sense that his life would be cut short.
The information on which this conjecture was based came from a single source and was not checked with Natural England.
His conjecture was a way of stating this observation, but proving it mathematically had defied generations, until Perelman came along.
For n = 2, which corresponds to the ordinary sphere, the conjecture was proved in the 19th century.
But this comforting conjecture was rapidly discounted when it was realised that the flaw was most probably the result of a relatively mundane programming error.
This proof resolved a conjecture that had been open for thirty years; mathematicians hoped that the conjecture was true but could not prove it.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com