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The projection value of any echo vector onto residual subspace could be given as follows: z=Px=left I-U{U}^Tright)x (5).
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The big, unanswered question is whether this places us in any more of an echo chamber than reading news directly from our favourite major media brands, or other sources we find for ourselves.
It was a sign of how much Mr. Arafat wanted to avoid any echo of Palestinian celebrations right after the terrorist attacks on New York and Washington.
The Transitional National Council, hoping to avoid any echo of the rank corruption of the Qaddafi era, has said no long-term contracts will be signed until an elected government is in place.
Even as they make decisions about what to pack up, what to leave behind for Afghan forces, or what to abandon or destroy, they want to avoid any echo of the Soviets' headlong rush out of Afghanistan in the late 1980s, which left the countryside strewed with rusting tanks and guns.
David Farber, a Temple University historian, said Mr. Obama appeared to have learned from Mr. Carter's mistakes Notably, the president has avoided any echo of Mr. Carter's famous 1979 speech about a "crisis of confidence" that he said had struck "at the very heart and soul and spirit of our national will".
But where is any echo of Tallchief's hunger to claim the stage as her own, her mixture of rapture and decisiveness in delivering steps, positions and phrases?
So any echo of such awful times makes Mozambicans nervous.A few blocks away from the protests in Independent Square at Renamo's Maputo offices, Mr Mazanga (speaking through an interpreter) qualified his earlier statement.
Restless, William Boyd's ninth novel, is regarded as exceptional for being a graceful, gently-paced espionage story, full of twists, without any echoes of Ian Fleming or John Le Carré.
British government sources insisted there would be no triumphalism on the visit nor any echoes of George Bush's premature claim of "mission accomplished" at the end of the fighting in Iraq.
The New York Times noted that the killings were "a reminder of the ruthless crackdown the military-backed government has used to silence any echoes of that revolt".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com