attrition

Definitions

  • WordNet 3.6
    • n attrition the act of rubbing together; wearing something down by friction
    • n attrition a wearing down to weaken or destroy "a war of attrition"
    • n attrition sorrow for sin arising from fear of damnation
    • n attrition the wearing down of rock particles by friction due to water or wind or ice
    • n attrition erosion by friction
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Webster's Revised Unabridged Dictionary
    • Attrition (Theol) Grief for sin arising only from fear of punishment or feelings of shame. See Contrition.
    • Attrition The act of rubbing together; friction; the act of wearing by friction, or by rubbing substances together; abrasion. "Effected by attrition of the inward stomach."
    • Attrition The state of being worn.
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Century Dictionary and Cyclopedia
    • n attrition The rubbing of one thing against another; mutual friction: as, the abrasion of coins by attrition.
    • n attrition The act of wearing away by rubbing; the state of being worn down or smoothed by friction; abrasion.
    • n attrition In theology, imperfect contrition or repentance, with real detestation of sin, and a true purpose of amendment, arising from those supernatural motives of faith which are lower than charity, or the true love of God for his own infinite perfections. Such motives are a love of justice for its own sake, the intrinsic shamefulness of sin, the fear of divine punishment, etc. Attrition remits sin only when complemented by the grace conferred through sacramental absolution. See contrition.
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Chambers's Twentieth Century Dictionary
    • n Attrition the rubbing of one thing against another: a wearing by friction:
    • n Attrition (theol.) a defective or imperfect sorrow for sin
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Etymology

Webster's Revised Unabridged Dictionary
L. attritio,: cf. F. attrition,
Chambers's Twentieth Century Dictionary
L. attritusatter-ĕread, and terĕre, tritum, to rub.

Usage

In literature:

If the object be attrition, then the offensive, if it can carry on its attacks with less loss of men than the defensive, must win.
"My Second Year of the War" by Frederick Palmer
A little stream meandered down and gurgled over rocks worn smooth by ages of attrition.
"The Yukon Trail" by William MacLeod Raine
A skull of an old bear which I have has molars of which the crowns are worn almost smooth from attrition.
"Natural History of the Mammalia of India and Ceylon" by Robert A. Sterndale
River sand is frequently used, but is not so good as pit sand on account of the particles being rubbed smooth by attrition.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3" by Various
The war, we were told, was going to be a war of attrition.
"The Great War As I Saw It" by Frederick George Scott
A little mutual stalking was indulged in with bombs ready, but fortunately recognition took place before attrition.
"The Fifth Battalion Highland Light Infantry in the War 1914-1918" by F.L. Morrison
Such a reduction, with current attrition, would take two years.
"Integration of the Armed Forces, 1940-1965" by Morris J. MacGregor Jr.
The continual attrition of multitudinous grains of sand from the desert.
"Expositions of Holy Scripture" by Alexander Maclaren
The sand and gravel at the edge of these glaciers appears far more the result of decomposition than attrition.
"On the Old Road, Vol. 2 (of 2)" by John Ruskin
In what was to a great extent a war of attrition this was a point of some importance.
"Experiences of a Dug-out, 1914-1918" by Charles Edward Callwell
In those thirty years the original stock of evidence current and in circulation even underwent a process of attrition.
"Evolution in Modern Thought" by Ernst Haeckel
The Process of Attrition.
"Four Years in Rebel Capitals" by T. C. DeLeon
The deposits are produced by the attrition of rock fragments by moving water, the waves and tides of the sea and the flow of rivers.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 4" by Various
The line thus organized was thin and worn by severe attrition.
"From Manassas to Appomattox" by James Longstreet
The attrition of their war material must also be enormous.
"Current History: A Monthly Magazine of the New York Times, May 1918" by Various
The two values are comparable, if we remember the attrition occurring between the years 1806 and 1816.
"The Aboriginal Population of the San Joaquin Valley, California" by Sherburne F. Cook
They have been smoothed and polished by mutual social attrition.
"The Letters of Henry James (volume I)" by Henry James
Attrition polishes but indurates at the same time: thus does social intercourse harden our gentle predispositions.
"Curiosities of Medical Experience" by J. G. (John Gideon) Millingen
The attrition of men is the outward force that makes character.
"Woven with the Ship" by Cyrus Townsend Brady
The colors are not all fast colors, I believe; and are liable to be rubbed off, by attrition.
"Dealings With The Dead" by A Sexton of the Old School
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In news:

Another look at the roster attrition at Oregon State, including WR Jordan Bishop.
Teacher attrition as Dunedin rolls drop.
Syria truce unravels and Assad forces, rebels return to war of attrition .
LSU's O-line faces more attrition .
Despite some attrition Mars girls soccer continues to win.
Ghaith Abdul-Ahad on Syria's "War of Attrition ".
LSU Coach Les Miles not worried about sudden increase in attrition .
USC's toughest opponent might be attrition .
Google Improved Maternity Leave, Post-Partum Attrition Dropped by 50.
Simpson survives Open attrition .
Offensive wrinkles and attrition .
An increasing number of hotels, including The Kessler Collection's Grand Bohemian in Orlando, are instituting policies that essentially eliminate attrition penalties for groups that can't fulfill their guestroom booking obligations.
At Coney, Cyclones lose 26-inning war of attrition .
Back to The HooK front page NEWS- Expensive attrition : $500K for zero job gains.
Attrition, due to injuries, has left BYU's offense decimated at an often overlooked but key position.
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In science:

For finite N , sn is reduced due to the presence of loops in the network, which causes the emergence of attrition of the paths.
Self-avoiding walks on scale-free networks
However, the self-avoiding property causes attrition of the paths, in the sense that a large fraction of paths generated in a stochastic manner have to be abandoned because they are overlapping.
Self-avoiding walks on scale-free networks
Here we study long-range properties of SAWs on equilibrium scale-free networks, and discuss the ‘attrition problem’.
Self-avoiding walks on scale-free networks
IV we analyze the length at which non-reversal random walks intersect themselves in these networks (self-intersection length), and in Sec. V we calculate the average attrition length of kinetic growth SAWs, at which they cannot continue without violating the self-avoidance condition.
Self-avoiding walks on scale-free networks
These walks were studied to describe the irreversible growth of linear polymers , and will allow us to consider the ‘attrition length’ for a walk on a given network (see Sec. V).
Self-avoiding walks on scale-free networks
Note that kinetic growth walks are less sensitive to attrition than non-reversal SAWs, since in the former the walker always escapes whenever a way exists.
Self-avoiding walks on scale-free networks
However, the minimum degree k0 affects strongly other properties of SAWs, such as the attrition length studied in the following section.
Self-avoiding walks on scale-free networks
In Fig. 7 we show the average attrition length hLi as a function of the system size N for γ = 3.
Self-avoiding walks on scale-free networks
Distribution probability Z (L) for the attrition length L of kinetic growth walks on scale-free networks with γ = 3, k0 = 3, and different system sizes.
Self-avoiding walks on scale-free networks
Mean attrition length hLi as a function of system size for SF networks with γ = 3 and several values of k0 .
Self-avoiding walks on scale-free networks
The presence of loops in a network is responsible for attrition of the walks.
Self-avoiding walks on scale-free networks
High-degree nodes are visited more probably than low-degree ones, and once visited the former are more effective to block a SAW in later steps (they have more connections), thus reducing the mean self-intersection and attrition lengths.
Self-avoiding walks on scale-free networks
We have calculated self-intersection and attrition lengths by using an approximate probabilistic method, which yields results in good agreement with those derived from numerical simulations.
Self-avoiding walks on scale-free networks
Both, the average selfintersection length and attrition length scale as a power of the system size N .
Self-avoiding walks on scale-free networks
The length of kinetic growth walks in scalefree networks is limited by attrition of the paths, and the mean attrition length follows a dependence hLi ∼ N α , with α depending on γ and the minimum degree k0 .
Self-avoiding walks on scale-free networks
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