shatter

Definitions

  • WordNet 3.6
    • v shatter break into many pieces "The wine glass shattered"
    • v shatter cause to break into many pieces "shatter the plate"
    • v shatter damage or destroy "The news of her husband's death shattered her life"
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: General Stonewall Jackson has two separate burial sites one for his amputated left arm (Fredericksburg, VA) and one for the rest of his body (Lexington, VA). Jackson’s left arm was shattered during the Battle of Chancellorsville by friendly fire and was amputated the next day. He died a week later. (8-1-02)
    • n Shatter A fragment of anything shattered; -- used chiefly or soley in the phrase into shatters; as, to break a glass into shatters .
    • v. i Shatter To be broken into fragments; to fall or crumble to pieces by any force applied. "Some fragile bodies break but where the force is; some shatter and fly in many places."
    • Shatter To break at once into many pieces; to dash, burst, or part violently into fragments; to rend into splinters; as, an explosion shatters a rock or a bomb; too much steam shatters a boiler; an oak is shattered by lightning. "A monarchy was shattered to pieces, and divided amongst revolted subjects."
    • Shatter To disorder; to derange; to render unsound; as, to be shattered in intellect; his constitution was shattered; his hopes were shattered . "A man of a loose, volatile, and shattered humor."
    • Shatter To scatter about. "Shatter your leaves before the mellowing year."
    • ***
Century Dictionary and Cyclopedia
    • shatter To scatter; disperse.
    • shatter To break or rend in pieces, as by a single blow; rend, split, or rive into splinters, flinders, or fragments.
    • shatter To break; disorder; derange; impair; destroy: as, shattered nerves; a constitution shattered by dissipation.
    • shatter Synonyms Smash, etc. See dash.
    • shatter To scatter; fly apart; be broken or rent into fragments.
    • n shatter One part of many into which anything is 'broken; a fragment: used chiefly in the plural, and in the phrase to break or rend into shatters.
    • n shatter A shattered or impaired state.
    • shatter Of cereals, to scatter the grain on account of overripeness.
    • shatter Of soils, to fall into flakes or meal-like particles from the action of the weather instead of harsh angular particles as when broken by implements.
    • ***
Chambers's Twentieth Century Dictionary
    • v.t Shatter shat′ėr to break or dash to pieces: to crack: to disorder: to render unsound
    • v.i Shatter to break into fragments
    • n Shatter a fragment: impaired state
    • ***

Quotations

  • Linall Jr. A. L.
    Linall Jr. A. L.
    “Good character is like a rubber ball -- thrown down hard -- it bounces right back. Good reputation is like a crystal ball -- thrown for gain -- shattered and cracked.”
  • Rabindranath Tagore
    Rabindranath%20Tagore
    “Your idol is shattered in the dust to prove that God's dust is greater than your idol.”
  • Doug Horton
    Doug%20Horton
    “Happiness in the present is only shattered by comparison with the past.”
  • Norman Cousins
    Norman%20Cousins
    “The eternal quest of the human being is to shatter his loneliness.”
  • George Orwell
    George%20Orwell
    “But the thing that I saw in your face no power can disinherit: No bomb that ever burst shatters the crystal spirit.”

Etymology

Webster's Revised Unabridged Dictionary
OE. schateren, scateren, to scatter, to dash, AS. scateran,; cf. D. schateren, to crack, to make a great noise, OD. schetteren, to scatter, to burst, to crack. Cf. Scatter

Usage

In literature:

Thus, in a short time and at little cost, were trees and roots and boulders torn up and shattered.
"In the Track of the Troops" by R.M. Ballantyne
He seized an axe, shattered the cake, caught up a bucket, dipped it full and rushed out spilling half its contents as he ran.
"The Big Otter" by R.M. Ballantyne
The bullet shattered the jaw and blew it half off.
"Bloom of Cactus" by Robert Ames Bennet
The spars were shattered, and hung out of place.
"The Naval History of the United States" by Willis J. Abbot
But there came no shout of warning to other watchers, no shot or outcry to shatter the stillness.
"Oh, You Tex!" by William Macleod Raine
About it, bright flames danced on the shattered bits of its companions.
"The Best Made Plans" by Everett B. Cole
Shattered, humiliated, sullen, the horse wheeled and returned.
"Campaigns of a Non-Combatant," by George Alfred Townsend
It was a hard blow to shatter the mast, which crushed two poor fellows to death in its fall.
"The Cryptogram" by William Murray Graydon
The galleass was shattered to matchwood, and Leyva perished with all on board save five who swam ashore.
"Famous Sea Fights" by John Richard Hale
His legs shattered, and infection setting in, the Neebling had crawled against the wall to die.
"Hunters Out of Space" by Joseph Everidge Kelleam
When Amos reached pretty Audrey Billberry's door, he found her pale in the candlelight, her ankle shattered and bleeding.
"Blue Ridge Country" by Jean Thomas
Jack halted one with a stunning bullet that shattered against its skull.
"The Rogue Elephant" by Elliott Whitney
At this instant that surge of impulse which, when it does come, shatters routine and habit to bits, seized the bear.
"The Watchers of the Trails" by Charles G. D. Roberts
All the little devices of beauty, cherished by the villagers, had been shattered.
"Young Hilda at the Wars" by Arthur Gleason
Jack's hopes were quickly shattered.
"The Young Railroaders" by Francis Lovell Coombs
Once more, however, the Emperor, by his swift moves, shattered this fond illusion.
"World's War Events, Vol. I" by Various
Then his dark romance was shattered.
"Frank of Freedom Hill" by Samuel A. Derieux
Her eyes shattered every nerve in him.
"The Valley of Silent Men" by James Oliver Curwood
The plane was shattered in a dozen places, but the torpoon had easily stood it.
"Under Arctic Ice" by H.G. Winter
The quality is not high, the berries shatter badly, and the vine is lacking in vigor.
"Manual of American Grape-Growing" by U. P. Hedrick
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In poetry:

Why shatter all the simple creed
Of boyhood? for I held it then
That he—this bird—came at their need,
And brought the gift of spring to men.
"A Day Dream On The Rail" by Alexander Anderson
They take my thought, they laugh, they run—
Ere megatherial moons, begun;
And shall, till they shall drop within
The shattering whirlwinds of the sun.
"“II” from Life’s Testament" by William Baylebridge
The night her crescent had thinly hung
From a single star o'er the shattered wall,
And its feeble light on the stone was flung
Where I sat to hear him call.
"The Heremite Toad" by Madison Julius Cawein
It was the summer-time; but summer air
Came never, in its sweetness, down that dark
And crowded alley,—never reached the door
Whereat he stopped,—the sordid, shattered door.
"The Monitions of the Unseen" by Jean Ingelow
I love your sorrow, which is mine as well—
My grief of griefs, all other woes above;
I love your shattered breast, where still your love
Sings on and on—a skylark wild with love.
"The Working Girl" by Daniel Varoujan
I felt hot tears rise to my eyes
When I looked at that lad,
Brave, gallant, shattered, smiling youth-
He gave us all he had;
For youth so fair; so sorely hurt
All England’s heart is sad.
"The Kitchener Chap" by Anonymous British

In news:

15- Pounder Shatters Utah Tiger Trout Record.
Shattered Darlings and Liquid Kisses New York Noises and California Roses SDLK.
Three Interior Freight Dog Association records were shattered during Saturday's Military Appreciation Day Weight Pull at Pioneer Park.
A bus sits with a shattered windshield after a hit-and-run accident Wednesday morning on US Highway 101 near Deer Park Road.
Sophomore Shatters Scoring Mark With 138 Points.
Instead of blocking a shot, high school senior Brett Turman shattered his lifelong dreams.
Their families are shattered in grief.
BEIRUT – In Syria's cities and towns, entire blocks of apartment buildings have been shattered, their top floors reduced to pancaked slabs of concrete.
Star athlete's dreams shattered after bizarre accident.
Family shattered by drunk driver one year ago.
Single, Female, Retired, Broke: The Ms Generation Finds Itself Staring at a Glass Ceiling That Hasn't Shattered .
A shattered Gaza celebrates cease-fire between Israel and Hamas.
Natasha Richardson's Sister: I Was Shattered By Her Death.
Bet on Powerball - and vow to share winnings with shattered neighborhoods.
Palestinians are seen through the shattered windshield of a car as they inspect the site of an Israeli airstrike on the Shati refugee camp in Gaza City on November 18, 2012.
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In science:

Nevertheless, this method still gives squared error bounds that grow slower than n for range system with polynomial shatter function.
Optimal Private Halfspace Counting via Discrepancy
Differential privacy and the fat-shattering dimension of linear queries.
Optimal Private Halfspace Counting via Discrepancy
The question of learnability is well studied and fully characterized for binary classification using the Vapnik Chervonenkis (VC) theory and for real valued supervised learning problems using the theory of uniform convergence with tools like Rademacher complexity, covering numbers and fat-shattering dimension etc.
Learning From An Optimization Viewpoint
In this dissertation, analyzing the so called value of the online learning game, we provide online analogs to classical tools from statistical learning theory like Rademacher complexity, covering numbers, fat-shattering dimension etc.
Learning From An Optimization Viewpoint
We show that for a general class of convex optimization problems, oracle complexity of the problem can be lower bounded by the so called fat-shattering dimension of the associated linear class.
Learning From An Optimization Viewpoint
In general there have been no generic tools like Rademacher complexity, covering numbers and fat-shattering dimension that are present for analyzing statistical learning problems.
Learning From An Optimization Viewpoint
We then build complexity measures analogous to those in the statistical framework like Rademacher complexity, covering numbers and fat-shattering dimension and show that these tools can be used to bound learning rates for online learning problems.
Learning From An Optimization Viewpoint
We show that the oracle complexity of convex optimization problems can be lower bounded by fat-shattering dimension of the associated linear function class (a classic concept form statistical learning theory).
Learning From An Optimization Viewpoint
Yet another combinatorial tool that can be used to bound rates of uniform convergence is the so called fat-shattering dimension defined below.
Learning From An Optimization Viewpoint
The statistical fat-shattering dimension fatiid at scale α is the largest d such that F α-shatters some sample S of size d.
Learning From An Optimization Viewpoint
One can upper bound covering numbers in terms of fat-shattering dimension.
Learning From An Optimization Viewpoint
See Section A.2 of Appendix A for a bound on covering number in terms of fat shattering dimension of function class.
Learning From An Optimization Viewpoint
Another issue is that even the existence of uniform-RO stable AERM (or strongly-uniform-RO stable, alwaysAERM allowing for convexity/randomization) is not as elegant and simple as having finite VC dimension or fat-shattering dimension.
Learning From An Optimization Viewpoint
Section 4.4 introduces sequential covering numbers and sequential fat-shattering dimension and shows relation between them and how they can be used to bound the sequential Rademacher complexity.
Learning From An Optimization Viewpoint
Definition 24. A Z -valued tree z of depth d is shattered by a function class F ⊆ {±1}Z if for all  ∈ {±1}d , there exists f ∈ F such that f (zt ()) = t for all t ∈ [d].
Learning From An Optimization Viewpoint
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