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primality

Definitions

  • WordNet 3.6
    • n primality the property of being a prime number
    • ***
Webster's Revised Unabridged Dictionary
    • n Primality The quality or state of being primal.
    • ***
Century Dictionary and Cyclopedia
    • n primality The state of being primal.
    • ***

Quotations

  • I Ching
    I Ching
    “Creativity comes from awakening and directing men's higher natures, which originate in the primal depths of the uni- verse and are appointed by Heaven.”
  • Sir William Osler
    Sir%20William%20Osler
    “The natural man has only two primal passions, to get and to beget.”

Usage

In literature:

For this true tale runs red with the primal emotions of the old buccaneers.
"The Pirate of Panama" by William MacLeod Raine
The softer rock and gravel have washed down the ravines, leaving these as monuments of the primal ages.
"The Atlantic Monthly, Volume 18, No. 106, August, 1866" by Various
In short, never had Mercedes, in the days of her primal bloom, presented a person so fascinating as now.
"Edmond Dantès" by Edmund Flagg
The difficulty lay in conceiving this primal impetus.
"The Problems of Psychical Research" by Hereward Carrington
He was there alone with Nature in her wildest mood, a fit setting for the primal passions sweeping through his soul.
"The Heart of Unaga" by Ridgwell Cullum
Come, for primal joy restored, Alleluia!
"The St. Gregory Hymnal and Catholic Choir Book" by Various
So gazed the Prophet's Cam-u-el, that primal Desert Ship.
"The Book of Humorous Verse" by Various
The primal curse was not imposed on everybody as a duty.
"The Comedies of William Congreve Volume 1 [of 2]" by William Congreve
In His primal essence, He cannot approach man from without.
"Christianity As A Mystical Fact" by Rudolf Steiner
Hence the importance of bestowing this primal treasure with wisdom.
"The Young Maiden" by A. B. (Artemas Bowers) Muzzey
Indeed, those feelings belong to the primal powers of man's nature.
"Fragments of science, V. 1-2" by John Tyndall
The mass of men live not by logic, but by primal instincts and passions.
"The Negro and the Nation" by George S. Merriam
It was the primal instinct to torture and slay the enemy and the Sioux lived up to it.
"The Great Sioux Trail" by Joseph Altsheler
She had never quite recaptured her primal, virgin sense of it; but, to set against that, she had entered more and more into possession.
"The Flaw in the Crystal" by May Sinclair
Life has become once more the primal fight for bread.
"Rosinante to the Road Again" by John Dos Passos
Every other primal gift of man rises to a new height at the bidding of the electrician.
"Little Masterpieces of Science:" by Various
I watch the primal slime Lift Athens like a flower to greet the stars!
"The Lord of Misrule" by Alfred Noyes
But to greatness in peace, greatness in war is a primal condition.
"The Origins and Destiny of Imperial Britain" by J. A. Cramb
IV., is the great root and primal type of all cornices whatsoever.
"The Stones of Venice, Volume I (of 3)" by John Ruskin
Aspiration, not the primal motive of Gothic work, i.
"The Stones of Venice, Volume III (of 3)" by John Ruskin
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In poetry:

We share our primal parents' fate,
And, in our turn and day,
Look back on Eden's sworded gate
As sad and lost as they.
"A Lay Of Old Time" by John Greenleaf Whittier
Why search the wide world everywhere
For Eden's unknown ground?
That garden of the primal pair
May nevermore be found.
"Garden" by John Greenleaf Whittier
They sing of love and gladness,
Of the golden primal plan,
Of the forging of bosom to bosom,
And the brotherhood of man.
"I Stand With My Shoulder To Shoulders" by Alexander Anderson
Though you revive lost bliss, your heart
Cradles august the pain,
The ancient primal woe of man,
And aches to mother Cain.
"Immortal Eve - II" by Manmohan Ghose
Before life's sweetest mystery still
The heart in reverence kneels;
The wonder of the primal birth
The latest mother feels.
"Child-Songs" by John Greenleaf Whittier
Sweet moon, with pain and passion wan,
Rain from thy loneliness of light
The primal kisses of the night
Upon a new Endymion;
"Lean Over Me" by Digby Mackworth Dolben

In news:

Primal Scream will play Screamadelica at the BDO.
Josh Reed's ' Primal ' takes place in the Australian wilderness.
An IFC Films (in U.S.) release of a Primal Films production in association with AV Pictures.
Cool Intervention #3: Primal Therapy.
The regional and primal appeal of barbecue is very real.
From Primal to Cut, a beef cutting demonstration.
Columnists Mia Katrin The Primal Power of Jewelry.
Rubble Women' ensemble shows the primal power of women moving mountains together.
Christmas Songs as Primal Need.
Pink + a Hunk Are Primal and Well-Choreographed in 'Try' Video.
Live, the band is all-consuming and primal in the extreme.
The question isn't why Ridley Scott makes such great science-fiction movies -- "Blade Runner," "Alien" and now the simultaneously primal and teasingly philosophical " Prometheus ".
Or perhaps a direct confrontation with your primal fears would be therapeutic.
They deal in primal screams .
Their new album Dual Mono (Telstar) is full of tambourines, reverb, fuzz guitar, and vocals that ooze with primal male longing.
***

In science:

Each edge ed = hu, vi of the dual lattice traverses some edge e = hx, yi of the primal, and, for each configuration ω, we define the dual configuration ωd by ωd(ed ) = 1 − ω(e).
Sharp thresholds for the random-cluster and Ising models
In this paper, we have begun a deeper analysis of street networks for large cities where we develop both primal and dual representations.
Random planar graphs and the London street network
In this sense, a random intersection graph is actually the primal graph of a random hypergraph consisting of m hyperedges each of which contains a vertex with probability p.
Treewidth of Erd\"{o}s-R\'{e}nyi Random Graphs, Random Intersection Graphs, and Scale-Free Random Graphs
Solving the problem with the set of constraints as SV ∪ xi will only result, since SVM is an instance of AOP, in the increase(decrease) of the ob jective function of the primal(dual).
Randomized Algorithms for Large scale SVMs
Measures µ ∈ K which satisfy the constraints in the primal problem are called feasible.
A duality approach to the worst case value at risk for a sum of dependent random variables with known covariances
If feasible solutions to the primal problem exist, it is called consistent.
A duality approach to the worst case value at risk for a sum of dependent random variables with known covariances
The minimal value of the integral in (6) is called the value of the primal problem in optimization theory.
A duality approach to the worst case value at risk for a sum of dependent random variables with known covariances
The central concern of linear programming in infinite dimensional spaces is to give sufficient conditions for the optimal values of the primal problem (6) and the dual problem (7) to coincide.
A duality approach to the worst case value at risk for a sum of dependent random variables with known covariances
If the primal problem (6) has finite optimal value, then it is solvable, i.e., a minimizing µ ∈ K exists.
A duality approach to the worst case value at risk for a sum of dependent random variables with known covariances
Solovay-Strassen probabilistic primality test) and not on speci fic properties of randomness.
How Random Is Quantum Randomness? An Experimental Approach
Carmichael numbers can fool Fermat’s primality test, but less the Solovay-Strassen test.
How Random Is Quantum Randomness? An Experimental Approach
Statistics for the results based on the Solovay-Strassen probabilistic primality test.
How Random Is Quantum Randomness? An Experimental Approach
Torkornoo, An Algorithm to compute ω -primality in a numerical monoid, preprint. C.
The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
Statistics for the results based on the Solovay-Strassen probabilistic primality test.
Experimental Evidence of Quantum Randomness Incomputability
Examples include simulation, number theory (primality testing and integer factorization), fault tolerance, routing, cryptography, optimization by simulated annealing, and perfect hashing.
Uses of randomness in computation
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