In literature:
Next valiant Mnestheus took his stand with bow bent, aiming high with levelled eye and arrow; yet could not, unfortunate!
"The Aeneid of Virgil" by Virgil
He had, in his quiet way, been fully as valiant as any of those who had fought the prowlers.
"Space Prison" by Tom Godwin
Hyacinthus made a valiant throw, and Apollo took his place, and cast the discus high and far.
"A Book of Myths" by Jean Lang
Let us first see where these valiant troopers have been to.
"The White Chief" by Mayne Reid
He is a big fellow, tireless, always hungry and a valiant fighter.
"Uncle Sam's Boys in the Philippines" by H. Irving Hancock
I could not praise and honor him enough, For no man lives so valiant and so good.
"La Chanson de Roland" by Léon Gautier
Captain Jane fought valiantly, and once more France was driven back.
"Chicken Little Jane" by Lily Munsell Ritchie
She has already a valiant bridegroom, the Pole, Lord Berezowski.
"Peter the Priest" by Mór Jókai
So arm'd, forth flew the valiant Argicide.
"The Odyssey of Homer" by Homer
In the year 999 Liege reckoned among its valiant chiefs one Jean Colin.
"Children's Rhymes, Children's Games, Children's Songs, Children's Stories" by Robert Ford
The knight fought valiantly, but never had he met a foe like this.
"The Red Romance Book" by Various
Never saw I men of more valiant aspect.
"Famous Tales of Fact and Fancy" by Various
The valiant maid broke her sword.
"The Missourian" by Eugene P. (Eugene Percy) Lyle
During this summer she worked valiantly.
"The German Classics of the Nineteenth and Twentieth Centuries" by Various
Indeed, the valiant pilot certainly deserved a great deal of praise for the way in which he manipulated his charge.
"The Big Five Motorcycle Boys on the Battle Line" by Ralph Marlow
Like valiant Huail {22f} in defying his enemy.
"Some Specimens of the Poetry of the Ancient Welsh Bards" by Evan Evans
The Medinians fought valiantly, but could not hold out against the well-disciplined Syrians.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 1" by Various
Oh, for his exploits in love, he should be called 'Valiant!
"The Iron Pincers" by Eugène Sue
He struggled valiantly to strike across the current, for he must reach the rock or be carried down the river to sure death.
"The Frontier Boys in the Grand Canyon" by Wyn Roosevelt
I can refuse nothing to this valiant officer.
"The Abbatial Crosier" by Eugène Sue
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In poetry:
Out of the Harbour! out of the Bay!
Out by the valiant Light,
Out by rocks where the young gulls lay--
And glad winds teach them flight!
"To Sea!" by Cale Young Rice
Now hast'ning from the forest gloom,
A comely page appear'd in view,
Just as the Knight with crimson plume
The valiant Reginald o'erthrew.
"Reginald The Brave" by Laura Sophia Temple
O'er many a hill, and many a plain,
The valiant Knight his course pursu'd,
And ev'ry vassal in his train
Seem'd with a lion's strength endued.
"Reginald The Brave" by Laura Sophia Temple
O, valiant knight, with hand of steel
And heart of gold, hear my appeal:
Release me from the spoiler's charms,
And bear me to my father's arms.
"My Father's Halls" by James Whitcomb Riley
Just reason based on valiant blood,
The instinct bred afield would match
To pipe thereof a swelling flood,
Were men of Earth made wise in watch.
"The Thrush In February" by George Meredith
AT Eutaw Springs the valiant died;
Their limbs with dust are covered o'er--
Weep on, ye springs, your tearful tide;
How many heroes are no more!
"To The Memory Of The Brave Americans" by Philip Morin Freneau
In news:
From left, Thelma Brewer and Marybelle Hose accept the Valiant Women Award from Church Women United of Washington County at its annual meeting.
New indication expands labeled uses for Valiant Captivia System in the United States.
(CNN) –Hail to the victors valiant.
Maryland football fights valiantly , but falls to Georgia Tech, 21-16.
News Sports BRUINS' VOLLEYBALL BATTLES VALIANTLY IN THEIR LAST GAME OF THE SEASON.
Writing Against Time, Valiantly .
Valiant Comics has revealed a variant cover for "Harbinger" No.
The valiant effort almost cost him his life.
A pastor friend of hers encouraged her to write her own words and the result is valiantly patriotic.
The 2013 MKZ is Lincoln 's valiant attempt to create a better Lexus.
Last Sunday, a woman on the eve of her 63rd birthday was battling jellyfish, weather and exhaustion as she tried, valiantly but ultimately unsuccessfully, to swim from Cuba to Florida.
Valiant Vols fall one TD short.
The Valiant Ones – Dedicated to my mother.
Valiant performance by Steelers defense not enough.
The Valiant Air Command Warbird Museum — located in Titusville, Fla. And neighboring the Kennedy Space Center — continues to revamp, expand and please.
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In science:
This dualization has been generalized to factor graphs in and recently been recast in the framework of Valiant transforms .
Characteristic Generators and Dualization for Tail-Biting Trellises
Later work by Valiant used random monotone circuits to compute the majority function.
Parallel Complexity of Random Boolean Circuits
Valiant. A Complexity Theory Based on Boolean Algebra. J.
Jacobian hits circuits: Hitting-sets, lower bounds for depth-D occur-k formulas & depth-3 transcendence degree-k circuits
Choudhary, Valiant’s Holant Theorem and Matchgate Tensors, Theor.
Determining the Solution Space of Vertex-Cover by Interactions and Backbones
At ﬁrst glance, this does not seem feasible on the timescale of secondgeneration GW detectors (i.e., within the next ten years), although valiant efforts are underway .
Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
Stardust from SNe is particularly important in the early Universe because the time for stars to evolve to the AGB phase is typically about 1 Gyr, but the cosmic time in the early Universe is shorter than it (Morgan & Edmunds 2003; Maiolino et al. 2004; Dwek et al. 2007; but see also Valiante et al. 2009).
The origin of dust in galaxies revisited: the mechanism determining dust content
Valiant. A CLT and tight lower bounds for estimating entropy.
Testing probability distributions using conditional samples
Since the advent of quantum physics about a century ago, physicists have valiantly tried to understand it at an intuitive level.
Collapsing the Wavefunction of a Baseball
The argument of Valiant and Vazirani guarantees that if j is the logarithm of the number of L-witnesses for x, there is a unique w satisfying h|j (w) = 0 with constant probability over the choice of h.
Average-Case Complexity
The proof is a simple generalization of the technique used in a beautiful construction of O(n5.3 ) size monotone formulas for the ma jority function by Valiant .
Bounds on the Size of Small Depth Circuits for Approximating Majority
Valiant, “Short Monotone Formulae for the Ma jority Function”, J.
Bounds on the Size of Small Depth Circuits for Approximating Majority
That is, it has the same complexity as computing the permanent of a matrix the prototypical #P problem - as was famously proven by Valiant in 1979 .
A simple encoding of a quantum circuit amplitude as a matrix permanent
The route to ﬁnding G uses some of the same tricks as in Valiant’s proof.
A simple encoding of a quantum circuit amplitude as a matrix permanent
As this paper is intended to also be accessible for physicists possibly unfamiliar with Valiant’s result, we will try and make the presentation as selfcontained as possible.
A simple encoding of a quantum circuit amplitude as a matrix permanent
VCdim (S ) ≤ poly (n) =⇒ |S | ≤ 2poly(n) is Sauer’s Lemma , which implies the relation |S | ≤ 2n VCdim(S ) . |S | ≤ 2poly(n) =⇒Learnable was proved by Valiant .
A Full Characterization of Quantum Advice
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Typos
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