- being intellectually gifted.
- being physically or especially mentally disabled to an extent that special schooling is required.
Examples from the Web for exceptionally
The news only got out to a few people in the building, who described the next day at work as exceptionally awkward.Hagel Takes a Bullet for Obama: Inside the Defense Secretary’s Sudden Firing|Shane Harris, Tim Mak|November 24, 2014|DAILY BEAST
The Habsburg army, however, Watson contends, were exceptionally bloodthirsty.
An exceptionally large first run of 200,000 copies was reportedly printed in Germany for the same reason.Hollande's Jilted Lover Valerie Trierweiler Tells All|Tracy McNicoll|September 3, 2014|DAILY BEAST
Chinese officials were much more concerned about internal issues in an exceptionally diverse empire.
His family memoir, Sweet and Low, is a tour de force of reporting and memory—tender, curious, and exceptionally funny.The Stacks: How Leonard Chess Helped Make Muddy Waters|Alex Belth|August 2, 2014|DAILY BEAST
The only school which was exceptionally interesting was the School of Languages.Changing China|William Gascoyne-Cecil
He also wrote a supplement of three volumes, entitled "Lee's Lieutenants," which was exceptionally well received.Hallowed Heritage: The Life of Virginia|Dorothy M. Torpey
Towards the end of his work the chronicler is exceptionally abrupt and disconnected.Expositor's Bible: Ezra, Nehemiah, and Esther|Walter Adeney
The Romans regarded the Etruscans as exceptionally skillful in such matters.Selections from Viri Romae|Charles Franois L'Homond
Menof consummate power may sometimes put their handsto the business; but exceptionally.2.On the Old Road Vol. 1 (of 2)|John Ruskin