In literature:
A minute more and they were running down the hill pell mell toward the oncoming team.
"The Outdoor Girls at Bluff Point" by Laura Lee Hope
Little Fellow would have dragged me pell-mell back to the beach, but I needed no persuasion.
"Lords of the North" by A. C. Laut
An important circumstance, hitherto unobserved by writers on these times, is incidentally recorded in the Pell Rolls.
"Henry of Monmouth, Volume 1" by J. Endell Tyler
Then they broke into a run pell-mell for the walls.
"Fort Amity" by Arthur Thomas Quiller-Couch
Sawyer, warned of Steve's whereabouts, looked down the tank, saw him and started pell-mell after him.
"Left End Edwards" by Ralph Henry Barbour
Away they went after him, pell-mell, and dashed up the yielding sides to bury their pails deep in the golden particles.
"A Son of the City" by Herman Gastrell Seely
Go away, Mister Pelle, you're frightening our British baby.
"A Soldier of the Legion" by C. N. Williamson
They lay pell-mell in undistinguished heaps, with none of their earthly beauties left.
"The Best of the World's Classics, Restricted to prose. Volume I (of X) - Greece" by Various
At the open doors of the bureau a little heap of female attire had been thrown pell-mell upon the floor.
"The Daffodil Mystery" by Edgar Wallace
Mebbe you t'ink it fun to ring dot pell like dot, unt pring all de neighbors aroundt mit a rush.
"The Banner Boy Scouts on a Tour" by George A. Warren
The next day after Tom's promotion Archibald Archer came running pell-mell to the wireless room where he was reading in the berth.
"Tom Slade with the Colors" by Percy K. Fitzhugh
Into these the attackers dove pell-mell and a halt was called for a few moments' rest.
"Fighting in France" by Ross Kay
Besides, Purdy-Pell could do nothing with him when he was here before, you remember.
"Shorty McCabe on the Job" by Sewell Ford
Pell, that I think it unnecessary to make any observations.
"The Trial of Charles Random de Berenger, Sir Thomas Cochrane," by William Brodie Gurney
Mr. Pell had the honour of being the legal adviser of Mr. Weller, Senior.
"The Law and Lawyers of Pickwick A Lecture" by Frank Lockwood
On the 18th, Howe left Throg's Neck and transferred his army further eastward to Pell's Point below New Rochelle.
"The Campaign of 1776 around New York and Brooklyn" by Henry P. Johnston
Oh, no one but Mrs. Purdy Pell.
"Shorty McCabe" by Sewell Ford
Pell-mell into the tavern they hurried, white-faced, panting, pushing their terrified children into dark corners and under tables.
"The Reckoning" by Robert W. Chambers
There was a shock, a wavering, and then a pell-mell rush to the rear.
"The Kangaroo Marines" by R. W. Campbell
The enemy entered pell mell with them, fighting from aisle to aisle, from altar to altar, and in the courts and cloisters of the convent.
"The Knickerbocker, or New-York Monthly Magazine, June 1844" by Various
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In poetry:
Full merry waxed King Pelles court
With Yuletide cheere and Yuletide sport,
And, when the board was spread,
Now wit ye well 'twas good to see
So fair and brave a companie
With Pelles at the head.
"The Vision Of The Holy Grail" by Eugene Field
Through all the night King Pelles' court
Made mighty cheer and goodly sport.
Nor never recked the joy
That was vouchsafed that Christmass tide
To Launcelot's deserted bride
And to her sleeping boy.
"The Vision Of The Holy Grail" by Eugene Field
The fire broke out on the stage, about eight o'clock,
Which gave to the audience a very fearful shock;
Then a stampede ensued, and a rush was made pell-mell,
And in the crush, trying to get out, many people fell.
"The Burning of the People's Variety Theatre, Aberdeen" by William Topaz McGonagall
As soon as the children began to suspect
That they would lose their presents by neglect,
They rush'd from the gallery, and ran down the stairs pell-mell,
And trampled one another to death, according as they fell.
"The Sunderland Calamity" by William Topaz McGonagall
The faithful mole heard this loud yell
And rushed down to the shore pell-mell.
Alas, alas he was too late
And saw his friend's unhappy fate;
He groaned, and shrieked and tore his fur
And raised an awful din and stir.
"Why The Mole Is Blind" by Edwin Carty Ranck
Down to a cellar; up agen, an' out -
Bananers - brandy jars - we rush pell-mell,
Turnin' to left, to right, then round about
(The parson, after, said it seemed like 'ell)
Through one last orful pong, then up a stair
Into clean air.
"'Ave a 'eart!" by C J Dennis
In news:
Allstate Agents in Pell City.
College students from low-income families have long relied on federal Pell grants to help pay for tuition.
Earlier this year, $4 billion was slashed from the Pell budget.
A National Landmark, the Bartow- Pell Mansion Museum in the Bronx is a cultural haven hidden away from the bustle of the borough that offers plenty of fun festivals and activities for families throughout the year.
Content Tagged ' Pell Grants'.
Former Senator Claiborne Pell of Rhode Island left quite a legacy when he died on Jan 1 at the age of 90.
The mastermind behind the style blog splendora.com, which covers everything from art and fashion to travel and food, Gina Pell is one of the savviest Internet shoppers around.
Pell Grants Could Be Cut In Obama Budget.
Posts With Keyword ' pell grants.
Part of President Obama's budget proposal that was announced this week includes a decrease in the funding of Pell Grants.
Retired Rhode Island Senator Claiborne Pell died at his home in Newport early Thursday at the age of 90.
During his 36 years in the Senate, Pell championed the college financial aid program that now bears his name.
Posts With Keyword ' Pell Grants.
Wait, Who's Cutting Pell Grants.
Reports that President Obama's budget request would cut Pell Grant funding first began to circulate over the weekend.
***
In science:
Thus, even though Pell’s equation has an in ﬁnite number of solutions, we can in a sense ﬁnd them all by ﬁnding the fundamental solution.
Quantum algorithms for algebraic problems
De ﬁning the ring Z[√d ] ⊂ Q[√d ] as Z[√d ] := {x + y√d : x, y ∈ Z}, we see that solutions of Pell’s equation correspond to those x ∈ Z[√d ] satisfying x ¯x = 1.
Quantum algorithms for algebraic problems
It should not be a surprise that the units of Z[√d ] are closely related to the solutions of Pell’s equation.
Quantum algorithms for algebraic problems
The proof of this fact is essentially the same as the proof that all solutions of Pell’s equation are powers of the fundamental solution.
Quantum algorithms for algebraic problems
If we can ﬁnd e1 , then it is straightforward to ﬁnd all the solutions of Pell’s equation.
Quantum algorithms for algebraic problems
Just as in our discussion of the solutions to Pell’s equation, e1 is too large to write down, so instead we compute the regulator of the fundamental unit, R := log e1 .
Quantum algorithms for algebraic problems
Pell’s equation is closely related to another problem in algebraic number theory called the principal ideal problem.
Quantum algorithms for algebraic problems
Using similar ideas as in the algorithm for solving Pell’s equation, and proceeding along similar lines to Algorithm 3, Hallgren (2007) also gave an efﬁcient quantum algorithm for the principal ideal problem.
Quantum algorithms for algebraic problems
The integer factoring problem reduces to solving Pell’s equation, and Pell’s equation reduces to the principal ideal problem (Buchmann and Williams, 1990); but no reductions in the other direction are known.
Quantum algorithms for algebraic problems
Recall from Section V.B that the quantum algorithm for solving Pell’s equation proceeds by computing the fundamental unit of the unit group of Z[√d ].
Quantum algorithms for algebraic problems
As in the quantum algorithm for solving Pell’s equation, we can reduce this computation to a period- ﬁnding problem.
Quantum algorithms for algebraic problems
There are two main parts to the quantum algorithm for computing the unit group, again paralleling the algorithm for Pell’s equation.
Quantum algorithms for algebraic problems
In Section V.E, we saw that the efﬁcient quantum algorithm for Pell’s equation can be adapted to efﬁciently decid e whether a given ideal is principal, and if so, to compute (the regulator of) its generator.
Quantum algorithms for algebraic problems
The Pell numbers appear as [26, A000129], where one can ﬁnd ob jects related to our restricted permutations.
Introduction to Partially Ordered Patterns
This is done as explained above via the Primitive Divisor Theorem for the second component of the solutions to Pell equations.
On the largest prime factor of $x^2-1$
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