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The four-dimensional case was proved in 1982, and in 2003, a Russian mathematician, Grigori Perelman, completed a proof for the thorniest case, of three dimensions.
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Lawyers and debt collectors say these are some of the thorniest cases in the attorney general's portfolio because of the wrenching issues they raise.
Ultimately, that court seat went to Anthony M. Kennedy, who in recent years has been the swing vote on some of its thorniest cases.
Tornadoes, the deadliest weather disaster to hit the country this year, present a particularly thorny case.
Mr. Hicks, though, is also a special, and especially thorny, case -- a citizen of one of the United States' closest allies.
But it is as much the second lawyer, William Jeffress Jr., who offers clues about how the thorny case will proceed.
In Mr. Lien, the committee found a man in harmony with the government on the longstanding, thorny case of Taiwan, which China regards as a breakaway territory.
Classmates remembered him wandering in late for a study group and rapidly rattling off solutions to a thorny case before dashing off to the water.
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Chief Justice Roberts began his umpiring duties for the Supreme Court on Monday, and by Wednesday he was facing his first thorny case, concerning doctor-assisted suicide in Oregon.
It is also a thorny case that in some ways echoes suits brought against the tobacco industry and settlements paid to New York workers who developed respiratory illnesses after the Sept. 11 attacks.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com