triad

Definitions

  • WordNet 3.6
    • n triad a three-note major or minor chord; a note and its third and fifth tones
    • n triad three people considered as a unit
    • n triad a set of three similar things considered as a unit
    • n triad the cardinal number that is the sum of one and one and one
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Webster's Revised Unabridged Dictionary
    • Triad (Mus) A chord of three notes.
    • Triad A union of three; three objects treated as one; a ternary; a trinity; as, a triad of deities.
    • Triad (Chem) An element or radical whose valence is three.
    • Triad (Mus) The common chord, consisting of a tone with its third and fifth, with or without the octave.
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Century Dictionary and Cyclopedia
    • n triad plural See the Triad Society.
    • n triad A union or conjunction of three; a group or class of three persons or things closely related; a trinity.
    • n triad In chem., an element or radical which will combine with three atoms of a monad element or radical; a trivalent element or radical.
    • n triad In music, a chord of three tones, including a given tone with its major or minor third and its perfect, augmented, or diminished fifth. A triad is named from the given tone or root: as, triad of G; dominant triad. See chord, 4. Also trias.
    • n triad In Welsh lit., a form of composition characterized by the arrangement of the contents in groups of three. The earliest specimens of these triads belong to the twelfth century. The method was continued for several centuries in Wales, but was not imitated elsewhere except in a few instances in Ireland.
    • n triad In mythology, an intimate association of three kindred or correlated deities, sometimes considered as having the relationship of father, mother, and child, and forming a characteristic conception in some religious systems, as that of ancient Egypt.
    • n triad In morphology, a tertiary unit of organization resulting; from integration of an aggregate of dyads. See dyad, 3.
    • n triad An indeterminate product of three vectors.
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Chambers's Twentieth Century Dictionary
    • n Triad trī′ad the union of three: a Welsh composition arranged in groups of three: an association of three kindred deities
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Etymology

Webster's Revised Unabridged Dictionary
L. trias, -adis, Gr. , , fr., , three: cf. F. triade,. See Three, and cf. Trias Trio
Chambers's Twentieth Century Dictionary
L. trias, triadis—Gr. trias, triadostreis, three.

Usage

In literature:

What a triad of immortal fames they would have made.
"Obiter Dicta Second Series" by Augustine Birrell
With these weapons, with this triad, I will engage to hurl him back, shattered and broken.
"Preventable Diseases" by Woods Hutchinson
We slept on the Triad, Admiral de Robeck's Yacht.
"Gallipoli Diary, Volume 2" by Ian Hamilton
Three, or the triad, is the image of the attributes of God.
"Three Thousand Years of Mental Healing" by George Barton Cutten
In one and then another of this triad, her life passes.
"The Physical Life of Woman:" by Dr. George H Napheys
From its nature and attributions, it is clear that to this triad must have attached a certain vagueness and remoteness.
"Chaldea" by Zénaïde A. Ragozin
The marvellous change in the bearing of Gaston de Bois, by which Maurice was struck, had been wrought by a triad of agents.
"Fairy Fingers" by Anna Cora Mowatt Ritchie
The triad stood for surface as length and width.
"Notes and Queries, Number 77, April 19, 1851" by Various
The nine are not composed of three triads, but of four pairs and a leader.
"The Religion of Ancient Egypt" by W. M. Flinders Petrie
This triad of symptoms occurs in retarded depressions, in absorbed manic states and in perplexities.
"Benign Stupors" by August Hoch
We have taken a triad of ontologies and a triad of Christological systems, placed them side by side, and examined them.
"Monophysitism Past and Present" by A. A. Luce
She forms a divine triad with the Father and the Son: that is ancient and natural.
"Five Stages of Greek Religion" by Gilbert Murray
To the triad the Pythagoreans likewise attached much significance, since it has a beginning, a middle, and an end.
"History of the Intellectual Development of Europe, Volume I (of 2)" by John William Draper
Originally he was part of a triad which itself was part of a triple trinity.
"The Lords of the Ghostland" by Edgar Saltus
They constitute the well known Trimurti or Triad of divine forms which characterizes Hindooism.
"Bible Myths and their Parallels in other Religions" by T. W. Doane
Over 200 such triads were brought together in the 9th century.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 5" by Various
The Triad was used for the commemoration of historical facts or the inculcation of moral duties.
"The Welsh and Their Literature from The London Quarterly Review, January 1861, American Edition" by George Borrow
With Zeus and Apollo, she forms a triad which represents the embodiment of all divine power.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7" by Various
Cambrian poets of an earlier age often allude to the birds of Rhiannon; they are mentioned in the Triads.
"British Goblins" by Wirt Sikes
The middle part of this evaded triad was now being taken up in Marjorie's case by the Oxbridge tradespeople.
"Marriage" by H. G. Wells
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In poetry:

Heaven's great triad still abideth,
The divinely blended Three,—
Faith, Hope, and Charity,—
Over all supreme presideth.
"Faith, Hope, Charity" by John Bowring
In different clearness of rays,
In addling amalgam of visions
We always live in world’s things’ reign
With its triad of space division.
"To the Poet" by Innokentii Fedorovich Annensky

In news:

Just two years after the former Triad Energy Resources in Reno was purchased by Texas-based Magnum Hunter Resources, the locally-founded oil and gas exploration company continues to grow and expand operations in the Mid-Ohio Valley area.
Triad 4405 SAWYER RD SARASOTA, FL 34233.
At Triad , the student body makeup is 68 percent male and 32 percent female, and the total minority enrollment is 35 percent.
Triad is 1 of 14 high schools in the Sarasota County Public Schools.
Summer 2010 TRIAD Meeting, event 014T May 27, 2010 Embassy Suites, Huntsville, AL.
Through meeting the growing technological and design needs of its client while offering affordable prices, Triad has become one of the largest web design companies in the United States.
Senior citizens from throughout Salem County are invited to attend the next TRIAD meeting here on March 21.
Triad rolls out an army of new subwoofers.
Sam's Club has signed a deal with Triad Retail Media to provide pet care information on its website, Triad said Wednesday.
"These past three decades, Triad has remained strong despite the many changes in the economic climate," Larry Pexton, Triad 's President and Founder, said in a statement.
Lowe's plans to invest $5 million to repair and expand a flatbed distribution center in Thomasville, N.C. That was damaged by a November tornado, according to an article in The Business Journal of the Greater Triad Journal.
Triad Real Estate Services LTD. 2302 Bittersweet Rd.
"Our market cap has grown from $10 to $20 million annually to over $700 million now," Denny said, adding that all of Triad 's employees have been retained as well as the company name to show its continuing identity with the community.
More Made in the Triad .
A New Pentagon ' Triad ' The Nation.
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In science:

Roles in all the 13 types of connected triads.
Topological Generalizations of network motifs
In each triad there are between one and three roles.
Topological Generalizations of network motifs
We also obtain an expression for the vacuum wavefunction in the triad represntation, by defining the corresponding spin networks functional integrals as SU (2) quantum group state sums.
Flat Spacetime Vacuum in Loop Quantum Gravity
The state constructed in corresponds to a flat connection wavefunction which is not peaked around any particular value of the triads, and hence cannot be a good description of the flat metric vacuum.
Flat Spacetime Vacuum in Loop Quantum Gravity
The same problem also appears in the case of non-zero cosmological constant, because the Kodama state is not peaked around any particular value of the triads† .
Flat Spacetime Vacuum in Loop Quantum Gravity
Since the vacuum wavefunction satisfies the quantum constraints in the holomorphic representation, in section 5 we construct the wavefunction in the triad representation by defining the corresponding functional integrals as SUq (2) state sums.
Flat Spacetime Vacuum in Loop Quantum Gravity
This then suggests to define Iγ via the expression Iγ = Z DA δ (F − ΛE0) Wγ [A] eSCS /Λ where E0 are the flat space triads.
Flat Spacetime Vacuum in Loop Quantum Gravity
It remains to be seen how useful is this expression for formulating a state sum invariant, but given such an invariant one can obtain the wavefunction in the triad representation by using the formulas of the section 5.
Flat Spacetime Vacuum in Loop Quantum Gravity
The clustering coefficient C describes the proportion of triads in a network out of the total number of potential triads.
Random Networks with Tunable Degree Distribution and Clustering
N∆ is the number of triads in the network and N3 is the number of connected triples of nodes.
Random Networks with Tunable Degree Distribution and Clustering
Note that in every triad there are three connected triples.
Random Networks with Tunable Degree Distribution and Clustering
Because triads are distributed uniformly throughout the network, the number of triads connected to a vertex of degree k is distributed binomial((cid:0)k 2(cid:1), C ).
Random Networks with Tunable Degree Distribution and Clustering
As noted above the number of common triads with a neighbor of degree k is distributed binomial(k − 1, C ).
Random Networks with Tunable Degree Distribution and Clustering
The algorithm produces exactly the right proportion of triads to triples in the limit of large graph size.
Random Networks with Tunable Degree Distribution and Clustering
Furthermore, the triads are uniformly distributed throughout the network as reflected by the fact that the local clustering is independent of degree.
Random Networks with Tunable Degree Distribution and Clustering
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