Sentence examples for given the ordering of from inspiring English sources

Given the ordering of the elements of the sets A ( 2 ) and P ( 2 ), the term (a1−a2)(p2−p1) is always non-negative, and hence (11) proves (i).

Since h ~ ∈ F ( m − 1 ), and because of (12), we have ∑ i = 1 m a i p h ( i ) ≥ ( a j − a m ) ( p m − p h ( m ) ) + a m p m + ∑ i = 1 m − 1 a i p i = ( a j − a m ) ( p m − p h ( m ) ) + ∑ i = 1 m a i p i. Finally, since (a j −a m )(p m −ph(m)) is non-negative given the ordering of the sets A ( m ) and P ( m ), we have ∑ i = 1 m a i p h ( i ) ≥ ∑ i = 1 m a i p i. which proves (ii).

He was knighted in 1911 and given the Order of Merit in 1927.

On December 6th, Paul O'Neill, the treasury secretary, and Larry Lindsey, the chief economic adviser, were given the order of the boot.

Yesterday he was given the order of the Great British twit, accused of letting down his country via Twitter.

A new official biography was released, with an initial print run of one million copies, and Stalin was given the Order of Lenin, then the country's highest honor.

Facebook Twitter Google plus Share Share this post Facebook Twitter Google plus close 2.38pm AEST05 38 Labor MP Amanda Rishworth is given the order of the boot.

Having seen history repeat itself last weekend when the Free Democrats were given the order of the boot from the Bundestag, the SPD may not want to risk it again.

Wickenheiser was already the Olympics' all-time leading scorer, when she was named her country's flag-bearer at Friday night's opening ceremony, and he has been given the Order of Canada.

They suggested a few interesting scenarios for Italy - including president Giorgio Napolitano replacing Mario Monti as technocratic prime minister, or Monti himself staying on despite being given the order of the boot by Italians.

Given the order of magnitude of the increase in bank reserves, from virtually nothing to more than $1 trillion almost overnight and now to more than $2 trillion, it was not unreasonable to be concerned about the potential for Zimbabwe-style hyperinflation.