In literature:
Only through some action, or some direct word of her own, would I permit my faith to be shattered.
"My Lady of Doubt" by Randall Parrish
Abraham Lincoln's proclamation shattered all hope of such peaceful adjustment.
"The Victim" by Thomas Dixon
When they reached the shattered body, there could be no question of its being dead.
"The Sky Is Falling" by Lester del Rey
She lay here, in her open tomb, shattered, broken, unbreathing.
"Brigands of the Moon" by Ray Cummings
The Confederates withdrew, rallied their shattered forces safely in Virginia, and Jeb Stuart once more rode around the Northern army!
"The Southerner" by Thomas Dixon
At daybreak a strong Dutch column was formed, and came on at a resolute and laborious trot towards the shattered gate of the fort.
"Deeds that Won the Empire" by W. H. Fitchett
A bullet struck the front frame of the chart-room, and several panes of glass were shattered with a fearful din.
"The Stowaway Girl" by Louis Tracy
Cars were shattered, fled the coursers, elephants were pierced and slain, Shafts of chariots, broken standards, lifeless soldiers strewed the plain!
"Maha-bharata" by Anonymous
To accept an animal form as an equal had been shattering.
"Key Out of Time" by Andre Alice Norton
The ruined cottage, cold and shattered, standing mid-way, looked lonely and forbidding.
"The Red Horizon" by Patrick MacGill
As for Dick Tenlow, lying halfway down the hillside, stunned and shattered, she had but a secondary sympathy.
"Overland Red" by Henry Herbert Knibbs
The window glass is shattered.
"Wappin' Wharf" by Charles S. Brooks
Their beams were badly shattered.
"Famous Privateersmen and Adventurers of the Sea" by Charles H. L. Johnston
The roar increased to an ear-shattering scream.
"The Raid on the Termites" by Paul Ernst
The stranger's jaw buckled and gave beneath that shattering impact.
"Astounding Stories of Super-Science January 1931" by Various
I felt confused and shattered to incoherence by the new quality of Mary's atmosphere.
"The Passionate Friends" by Herbert George Wells
Whose fault was it that the happiness of two young people had thus been shattered to pieces?
"'Jena' or 'Sedan'?" by Franz Beyerlein
But suddenly the silence was shattered by a shout.
"Astounding Stories, July, 1931" by Various
The captain comes to himself with a shattered skull.
"The Forerunners" by Romain Rolland
Better kill fifty in cold blood than shatter a relic box!
"God Wills It!" by William Stearns Davis
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In poetry:
Woman tries to be thy servant,
Disobeys dame Nature's laws,
Ere she reaches thirty summers,
Shattered frame and sunken jaws.
"Fashion" by Frank Barbour Coffin
A whistle ’mid the distant hills
Shattered the silence grey,
She turned on me her great sad eyes,
Then lightly skimmed away.
"Seeing Her Off" by Arthur Graeme West
You have seen this old world shattered
By old gods it disappointed,
Lying up in darkness, battered
By wild comets, unanointed.
"To An Old Quill Of Lord Dunsany's" by Francis Ledwidge
We charge the tunnels headlong -
The blackness roars and shatters.
We crash between embankments -
The open spins and scatters.
"We Flash Across The Level" by William Ernest Henley
O Heaven help my foolish heart
Which heeded not the passing time
That dragged my idol from its place
And shattered all its shrine.
"The Passing of Love" by Elizabeth Eleanor Siddal
Vain every pictured phrase to tell
Our sorrowing heart's desire,--
The shattered harp, the broken shell,
The silent unstrung lyre;
"Our Sweet Singer" by Oliver Wendell Holmes
In news:
Shatters Glass In Promo For VH1's DIVAS.
But Ben Gui 's dynamite maki ($6.50) shattered my prejudice.
Iraq explosions shatter Shiite areas.
A shattering defeat for Asia's richest political party.
That's you as pillows are tossed, furniture bumped, frames go askew, nerves are shattered and so is glassware.
Sh-sh-shattered with Mick at Electric Room, the subterranean hotspot beneath Dream Downtown.
So when McGregor's eldest sister was diagnosed at age 32, the news came as a shattering shock to all three siblings.
Race officials announced today, May 15, that the 28th annual race shattered all previous race registration records for both the priority and general registrations.
Soldier's death shatters a mirror image .
INCEPTION Inception is a chilling trip into the psyche of writer-director Christopher Nolan, an action director who shattered the Tomatometer with The Dark Knight.
On October 18, 1968, at the Summer Olympics in Mexico City, Bob Beamon shattered a world record with a performance that many people thought would never be matched.
It was a vulnerable 9-year-old girl running naked toward the camera, horribly injured, her peaceful life shattered by war.
0Cyber Monday 2011 shattered records.
Babe Ruth is still shattering records more than 63 years after his death.
For more than a decade, the active ingredient in Shatter™ termite bait , used in the Hex-Pro System, has provided effective control of termites.
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In science:
Z , and t′ is given by equation (9). 2.5 Dust destruction by supernova blast waves Dust grains are destroyed by SN shock waves due to shattering and sputtering (e.g., Dwek & Arendt 1992).
The origin of dust in galaxies revisited: the mechanism determining dust content
The discovery of the ﬁrst clear source of CRs will be earth-shattering.
Summary Report of JEM-EUSO Workshop at KICP in Chicago
For these systems, shattering into small pieces appears to be thermodynamically beneﬁcial. A strict proof of this statement is given in the famous course on theoretical physics of Landau & Lifshits .
Teaching the third law of thermodynamics
For a function f (x, y ) a set S is shattered, if for all R ⊆ S there is an x such that f (x, y ) = 1 ⇐⇒ y ∈ R for all y ∈ S .
Quantum Communication Complexity
The VC-dimension of a function f (x, y ) is the maximal size of a shattered set.
Quantum Communication Complexity
Finally we will need the notions of coverability and fat-shattering dimension.
A Full Characterization of Quantum Advice
Deﬁnition 6 (Fat-Shattering Dimension) Let S be a p-concept class and ε > 0 be a real number.
A Full Characterization of Quantum Advice
We say the set A ⊆ {0, 1}n is ε-shattered by S if there exists a function r : A → [0, 1] such that for al l 2|A| Boolean functions g : A → {0, 1}, there exists a p-concept f ∈ S such that for al l x ∈ A, we have f (x) ≤ r (x) − ε whenever g (x) = 0 and f (x) ≥ r (x) + ε whenever g (x) = 1.
A Full Characterization of Quantum Advice
Then the ε-fat-shattering dimension of S , or fatε (S ), is the size of the largest set ε-shattered by S .
A Full Characterization of Quantum Advice
The reason is simply that, if a given set β -fatshatters S ∗ , then it must also (β − ε)-fat-shatter S by the triangle inequality.
A Full Characterization of Quantum Advice
Deﬁnition 29 (VC-dimension) We say a Boolean concept class S shatters the set A ⊆ {0, 1}n if for al l 2|A| functions g : A → {0, 1}, there exists an f ∈ S whose restriction to A equals g.
A Full Characterization of Quantum Advice
Then the VC-dimension of S , or VCdim (S ), is the size of the largest set shattered by S .
A Full Characterization of Quantum Advice
The shatter function of R deﬁned by halfspaces in d-dimensions is bounded as πR (s) = O(sd ).
Optimal Private Halfspace Counting via Discrepancy
We show that there is an (ε, δ)-differentially private range counting mechanism that achieves O(n1−1/d ) average squared error for range spaces with shatter function bounded by O(sd ), and therefore for ddimensional halfspace range counting.
Optimal Private Halfspace Counting via Discrepancy
Since the shatter function of a range space with VC-dimension d is bounded by O(sd ), our result also implies a constructive approximation upper bound of O(n1−1/d ) for VC-dimension d range spaces.
Optimal Private Halfspace Counting via Discrepancy
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