In literature:
It was not until April 3rd that I was able actually to make a start with my caravan.
"Across Unknown South America" by Arnold Henry Savage Landor
I was able to walk by this time, and stood by the little window, watching the soldiers at exercise in the courtyard.
"At the Point of the Sword" by Herbert Hayens
We have been able to hire more men to take the places of those who have been taken away from us.
"Joan of Arc of the North Woods" by Holman Day
Many have remarked at the ease in which they were able to achieve self-hypnosis and the results they wanted.
"A Practical Guide to Self-Hypnosis" by Melvin Powers
I ain't able to work, ain't been able to do any work in five years.
"Slave Narratives: a Folk History of Slavery in the United States" by Various
I never have learned to read, and so I haven't been able to master navigation.
"Old Jack" by W.H.G. Kingston
As the tide had now turned, they were able to get up the creek to the spot where Ben generally left his boat moored.
"The Rival Crusoes" by W.H.G. Kingston
We shall be going homewards, and may be better able to send a message to our friends at the Cape.
"In the Wilds of Africa" by W.H.G. Kingston
She wanted to know whether he were the kind of man who would be able to rouse her to unusual activity.
"General John Regan" by George A. Birmingham
He would only have been able to feel and experience reality through his senses.
"Christianity As A Mystical Fact" by Rudolf Steiner
There were several rest camps at Boulogne, and I was able to visit them.
"1914" by John French, Viscount of Ypres
He had not seen her grow up gradually, as other fathers had viewed their daughters, being able to meet daily problems in molding and mastery.
"Blow The Man Down" by Holman Day
Will you be able to keep that up?
"Lucy Maud Montgomery Short Stories, 1907 to 1908" by Lucy Maud Montgomery
I shall thus be able to keep that rash and hasty vow, which I once thought I would never be able to keep.
"The Cryptogram" by James De Mille
Daoud felt strong and able now to deal with these four men, but he could almost feel the weight of the overwhelming trap he was in.
"The Saracen: Land of the Infidel" by Robert Shea
Otherwise she would not be able to stop herself from crying.
"The Saracen: The Holy War" by Robert Shea
Being able to sense when she was being watched was one of the gifts she, like her father, possessed.
"Shaman" by Robert Shea
Know how to start a motor and be able to do it and be able to explain necessary precautions.
"How Girls Can Help Their Country" by Juliette Low
Once the wretched wife went to Wegstetten, the captain of their battery, in the vain hope that he might be able to help her.
"'Jena' or 'Sedan'?" by Franz Beyerlein
Suppose I were to be seized of a sudden in some dreadful way, and not able to ring the bell!
"The Complete Project Gutenberg Works of Jane Austen" by Jane Austen
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In poetry:
And of these stones, or tyrants' thrones,
God able is
To raise up seed--in thought and deed--
To faithful His.
"Satisfied" by Mary Baker Eddy
To carry out his foolish plan
He never would be able;
He might as well go hang himself
With his Atlantic Cable.
"How Cyrus Laid the Cable" by John Godfrey Saxe
"If, of the Law's stone table,
To hold he scarce was able
The first great precept fast,
He kept for man the last.
"An Autograph" by John Greenleaf Whittier
Then she boiled it and boiled it,
As long as she was able;
Then his daughter Susie took it
And put it on the table.
"Mr. Finney's Turnip" by Henry Wadsworth Longfellow
Let thy experience sweet declare,
If able to remind;
A Bochim he here, a Bethel there,
Thy Husband made thee find.
"The Believer's Jointure : Chapter II." by Ralph Erskine
All I believed is true!
I am able yet
All I want, to get
By a method as strange as new:
Dare I trust the same to you?
"Mesmerism" by Robert Browning
In news:
However, most blended families are able to work through problems and live together successfully.
Demonstrations continue near the US embassy in Cairo, with the police thus far able to hold the mob at bay.
The Hoffman-Estates-based retailer said the service will be able available in most of its stores and online.
But, he wasn't going to vote for Obama because he wasn't able to transform Washington.
Community Blood Bank officials report the blood bank was able to share blood with other blood bank s all summer as a result of its success.
A year has passed now, and I'm able to resume my regular trips to the Upper Peninsula Regional Blood Center in Marquette.
Oregon National Guardsman Larry Roberta says he went to Iraq fit, and came back barely able to breathe.
Rosie's owners had to move and were not able to take her with them.
Courtesy photo Dylan Genovese, 15, of Gloucester was barely able to hold his prize-winning, 33.15-pound striped bass, caught as part of Winchester Fishing Co.'s 22nd annual Blue Fish and Striped Bass Tournament.
Especially when they know, or perhaps suspect, that they'll not be able to deliver.
A 14-year-old boy was able to fly across the country, even though the airline thought he skipped his flight.
Bradenton Marauders General Manager Trevor Gooby may be able to deliver babies, but he can't change the weather.
Yet, when we help people who are ABLE- BODIED but make no effort to help themselves, I believe we destroy the individual and undermine society at large.
Yet 11-year-old Gabriel Muniz has been able to excel at the sport despite being born without feet.
Brahmans , known for the hump on their back and their wrinkled dewlaps, are tropical cattle, able to withstand heat and repel insects.
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In science:
In particular, in the scaling window c = 1 ± λn−1/3 , a random formula is satisﬁable with probability which is bounded away from 0 and 1 (the exact bounds depending on λ ), and it can be made satisﬁable by removing a constant-order number of clauses (the constant depending on λ ).
Random MAX SAT, Random MAX CUT, and Their Phase Transitions
While it is well known that for c > 1 , F (n, cn) is a.s. unsatisﬁable, is it possible that even for c large, almost all clauses are satisﬁable? Theorem 4 rules this out by showing that a constant fraction of clauses must go unsatisﬁed; up to a constant, it also provides a matching lower bound.
Random MAX SAT, Random MAX CUT, and Their Phase Transitions
It is known that random k -sat has a sharp threshold: that is, there exists a threshold function c(n) such that for any ε > 0 , as n → ∞ , a random formula on n variables with (c(n) − ε)n clauses is a.s. satisﬁable, while one with (c(n) + ε)n clauses is a.s. unsatisﬁable [Fri99].
Random MAX SAT, Random MAX CUT, and Their Phase Transitions
Although additional work is needed to prove it, a random 2-sat formula is satisﬁable with high probability if this branching process is subcritical (if each X has an expected number of offspring < 1 ) and unsatisﬁable w.h.p. if it is supercritical.
Random MAX SAT, Random MAX CUT, and Their Phase Transitions
In the case of the random 3-satisﬁability problem a phase transition from the satisﬁable to the unsatisﬁable phase is found at α = 4.267.
On the probabilistic approach to the random satisfiability problem
The Satisﬁability Threshold Conjecture asserts that for each k > 2, there exists a constant ck such that for all constants c < ck , F (n, cn) is a.a.s. (asymptotically almost surely) satisﬁable, while for c > ck it is a.a.s. unsatisﬁable.
The Satisfiability Threshold of Random 3-SAT Is at Least 3.52
With the threshold behavior not understood, considerable attention has been devoted to proving density bounds below which a formula is a.a.s. satisﬁable (“lower bounds” on the putative threshold) and bounds above which it is a.a.s. unsatisﬁable (“upper bounds”).
The Satisfiability Threshold of Random 3-SAT Is at Least 3.52
This sharp threshold phenomenon was discovered in the early 1990s, when several researchers [18, 48] performed computational experiments on F3 (n, m = rn) and found that while for r < 4.1 almost all formulas are satisﬁable, for r > 4.3 almost all are unsatisﬁable.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Nevertheless, we will take the liberty of writing rk ≥ r∗ to denote that for all r < r∗ , Fk (n, rn) is w.h.p. satisﬁable; analogously, we will write rk ≤ r∗ to denote that for all r > r∗ , Fk (n, rn) is w.h.p. unsatisﬁable.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Speciﬁcally, they proved that when k − log2 n → ∞, Fk (n, m) is w.h.p. satisﬁable if m < (1 − ǫ)m∗ but w.h.p. unsatisﬁable if m > (1 + ǫ)m∗ , where m∗ = (2k ln 2 − O(1)) n and ǫ = ǫ(n) > 0 is such that ǫn → ∞.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Since a NAE-satisﬁable formula is also satisﬁable, we have established that Fk (n, rn) is satisﬁable w.u.p.p. for all r as in Lemma 2.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Corollary 1 If Fk (n, r∗n) is satisﬁable w.u.p.p. then Fk (n, rn) is satisﬁable w.h.p. for al l r < r∗ .
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Let us say that a k-CNF formula is p-satisﬁable if there exists a truth assignment which satisﬁes at least (1 − 2−k + p2−k ) of all clauses; note that every k-CNF is 0-satisﬁable.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
Agents able to recover from an integrity constraints violation and able to continue to process some requests while continuing to recover are discussed in (Eiter et al. 2002).
Logic-Based Specification Languages for Intelligent Software Agents
Furthermore, a vertex without a patch is identiﬁable if there exists r ≥ 2 such that it is contained a hyperedge of size r and the other r − 1 vertices are all identiﬁable.
Critical random hypergraphs: The emergence of a giant set of identifiable vertices
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