In literature:
The rebels finally retreated across the field to the cover of their rifle pits.
"Three Years in the Sixth Corps" by George T. Stevens
Stuart felt a sinking at the pit of his stomach, for he was no braver than most boys.
"Plotting in Pirate Seas" by Francis Rolt-Wheeler
Behold, he had gone down the pit some time before.
"Myths and Legends of the Great Plains" by Unknown
It was all naked rock, ridged and pitted, and everywhere yellow-tinged.
"Beyond the Vanishing Point" by Raymond King Cummings
Antennal foveolae: Orthoptera; the pits between frontal costa and lateral carinae, in which the antennae are inserted.
"Explanation of Terms Used in Entomology" by John. B. Smith
If it were not for the rascally law, my pit would fill better on Sundays than any other time.
"Lavengro The Scholar, the Gypsy, the Priest" by George Borrow
Next morning they set off to visit the pits, accompanied by the boys.
"In the Wilds of Africa" by W.H.G. Kingston
The Russians had now got into the pits we had left.
"Taking Tales" by W.H.G. Kingston
There was the mouth of the pit plainly seen, for the blue October sky lay beyond.
"Fred Fenton on the Track" by Allen Chapman
Harry, meanwhile, employed himself with the hatchet in getting long slender saplings and canes to cover in the pit.
"The Desert Home" by Mayne Reid
It almost squeezed the breath out of me, for it set its hoof right upon the pit of my stomach.
"The Boy Slaves" by Mayne Reid
Kitchen pits.= Pits of convenient size should be constructed for the liquid refuse from the kitchens.
"Manual of Military Training" by James A. Moss
George still found time to attend to his favourite animals while working at the Water-row Pit.
"Lives of the Engineers The Locomotive. George and Robert Stephenson" by Samuel Smiles
A Mouse-deer, wandering in the jungle, fell into a pit.
"Children of Borneo" by Edwin Herbert Gomes
He allowed himself to be docilely herded on to the edge of the pit.
"Devil Crystals of Arret" by Hal K. Wells
Will would have gone down first into the pit had not Robin stayed him.
"Robin Hood" by Paul Creswick
Blake, bound in the invisible chains of enemy gas, struggled silently, futilely, to pit his will against this grip that held him.
"Astounding Stories of Super-Science, November, 1930" by Various
He had come to the mouth of a black pit which seemed to descend into great depths.
"Jessica, the Heiress" by Evelyn Raymond
The whole district was pitted with them.
"How I Filmed the War" by Lieut. Geoffrey H. Malins
But why lead them into the pit?
"Carmen Ariza" by Charles Francis Stocking
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In poetry:
The night has been long,
The wound has been deep,
The pit has been dark,
And the walls have been steep.
"Million Man March Poem" by Maya Angelou
The night has been long,
The pit has been deep,
The night has been dark,
And the walls have been steep.
"Million Man March Poem" by Maya Angelou
I say, the night has been long,
The wound has been deep,
The pit has been dark
And the walls have been steep.
"Million Man March Poem" by Maya Angelou
But in a shallow pit shall rest
For all eternity,
And bear the earth upon the breas
That once had worn the sea.
"The Sea" by Dorothy Parker
I thought of all that worked dark pits
Of war, and died
Digging the rock where Death reputes
Peace lies indeed.
"Miners" by Wilfred Owen
In the one pit where ye repose,
Would I could tell of France's woes,
My brethren, who fell facing foes--
But no!
"The Exile’s Desire" by Victor Marie Hugo
In news:
From granite bar tops to POS systems, the Olive Pit benefited from top-of-the-line expertise and tools.
YUMA — Authorities say a horse has died after it was violently attacked by a neighbor's pit bull in Foothills.
According to the CINewsNow.com report, a couple was hospitalized on Wednesday after being attacked by a pair of pit bulls while delivering phone books in Bloomington, Ill.
A North Fort Myers teen is viciously attacked by a Pit bull and is now calling on the county to seize it.
Visitation, funeral set for infant who was killed by pit bull in Detroit.
Funeral services are this week for a 3-week-old girl killed by a pit bull attack in Detroit after her mother put her car seat on the floor of a house.
Funeral set for girl killed by pit bull in Detroit.
Detroit Police officers remove a pit bull after it killed a 3-week old baby girl on Thursday, Oct 4, 2012 in Detroit.
Detroit police say a pit bull killed the baby after her mother put her car seat on the floor of a house.
Woman, 60, killed by pit bull.
15-year-old shot, 2 attacked by pit bull.
Chihuahua Mix Attacked By Coyote, Saved By Pit Bulls.
Horse put to sleep after attack by pit bulls.
Fight over canola pits biofuels vs organics.
View full size John Munson/The Star-Ledger While waiting for a new weapons testing area at Picatinny Arsenal, this pit is what is currently used for testing.
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In science:
For commutative circuits, Impagliazzo and Kabanets [KI03] have shown that derandomizing PIT implies circuit lower bounds.
Derandomizing the Isolation Lemma and Lower Bounds for Circuit Size
In [AMS08] we have observed that this also holds in the noncommutative setting. I.e., if noncommutative PIT has a deterministic polynomial-time algorithm then either NEXP 6⊂ P/poly or the noncommutative Permanent function does not have polynomial-size noncommutative circuits.
Derandomizing the Isolation Lemma and Lower Bounds for Circuit Size
We remark that a closely related problem is Polynomial Identity Testing (PIT).
Quantum Query Complexity of Multilinear Identity Testing
When f is given by an arithmetic circuit then PIT is known to be in randomized polynomial time over ﬁelds [Sch80, Zip79] and even ﬁnite commutative rings with u nity [AB03, AMS08].
Quantum Query Complexity of Multilinear Identity Testing
On the other hand, when f is given by black-box access as a function f : Rm → R then there is no way to distinguish between the problems PIT and MIT.
Quantum Query Complexity of Multilinear Identity Testing
Recently, in [AMS08] we used similar ideas to give a new deterministic polynomial time identity testing (PIT) algorithm for arithmetic circuits computing sparse and small degree multivariate polynomial over noncommuting variables.
Quantum Query Complexity of Multilinear Identity Testing
LeMouel, 2002, “Dynamics of air avalanches in the access pit of an underground quarry,” Phys.
Large scale dynamics in turbulent Rayleigh-Benard convection
We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra.
The Power of Depth 2 Circuits over Algebras
The motivation for studying this later model is not only because it is a natural generalization of commutative circuits over ﬁelds but also because it gives a different perspective to the complexity of the classical PIT problem in terms of the dimension of the underlying algebra R.
The Power of Depth 2 Circuits over Algebras
Although Theorem 1.4 shows an equivalence of depth 3 circuits and depth 2 circuits over U2 (F) with respect to PIT, the computational powers of these two models are very different.
The Power of Depth 2 Circuits over Algebras
In the same section it is also shown that commutative algebras of polynomial dimensions are powerful enough to capture PIT of depth 3 (ΣΠΣ) circuits (Theorem 1.7).
The Power of Depth 2 Circuits over Algebras
In this section, we show that PIT of depth 2 circuits over M2 (F) is at least as hard as PIT of depth 3 circuits, and this further implies that PIT of a width-2 commutative ABP is also at least as hard as PIT of depth 3 circuits.
The Power of Depth 2 Circuits over Algebras
The Great Attractor, connecting Centaurus and PIT, is predicted to rise to its peak very close to the Galactic plane, in the range l = (cid:14) (cid:0) (cid:14) , at a distance of (cid:25) km s(cid:0) .
Large-Scale Mass Distribution Behind the Galactic Plane
Another parameter which has only a limited relevance is the total mass of the inner core (which I call the ‘pit’) where this fast neutrino emission is taking place: it depends on the equation of state (EOS) and the critical density ρcrit for the onset of fast emission.
Thermal Evolution of Isolated Neutron Stars. II
All the curves of Figure 1 correspond to a ﬁxed mass of 1.4 M⊙ and ﬁxed EOS (Friedman & Pandharipande 1981): changing the star mass and/or the EOS changes the mass of the pit which is equivalent to changing ρcrit and has thus very little effect.
Thermal Evolution of Isolated Neutron Stars. II
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