ternary

Definitions

  • WordNet 3.6
    • adj ternary having three units or components or elements "a ternary operation","a treble row of red beads","overcrowding made triple sessions necessary","triple time has three beats per measure","triplex windows"
    • n ternary the cardinal number that is the sum of one and one and one
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Webster's Revised Unabridged Dictionary
    • n Ternary A ternion; the number three; three things taken together; a triad. "Some in ternaries , some in pairs, and some single."
    • Ternary (Chem) Containing, or consisting of, three different parts, as elements, atoms, groups, or radicals, which are regarded as having different functions or relations in the molecule; thus, sodic hydroxide, NaOH, is a ternary compound.
    • Ternary Proceeding by threes; consisting of three; as, the ternary number was anciently esteemed a symbol of perfection, and held in great veneration.
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Century Dictionary and Cyclopedia
    • ternary In mathematics, having three variables.
    • ternary In old chemistry, applied by Dalton to substances consisting of three atoms — either A + 2 B or 2 A + B.
    • n ternary A trinity.
    • ternary Proceeding by threes; consisting of three: as, a ternary flower (that is, one having three members in each cycle); a ternary chemical substance (that is, one composed of three elements).
    • n ternary The number three; a group of three.
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Chambers's Twentieth Century Dictionary
    • Ternary proceeding by, or consisting of, threes
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Etymology

Webster's Revised Unabridged Dictionary
L. ternarius, fr. terni,. See Tern (a.)
Chambers's Twentieth Century Dictionary
L. terni, three each—tres, three.

Usage

In literature:

But opinion is the ternary; for that rationally follows from comprehension.
"Essays and Miscellanies" by Plutarch
Of the third ternary, the first gives a mythological birth of Shakespeare.
"Lives of the Poets: Gay, Thomson, Young, and Others" by Samuel Johnson
Some recent poets have attempted to write ternary Alexandrine verse.
"Modern Spanish Lyrics" by Various
A salt of a ternary acid is named in accordance with the acid from which it is derived.
"An Elementary Study of Chemistry" by William McPherson
A TERNARY OF LITTLES, UPON A PIPKIN OF JELLY SENT TO A LADY.
"The Hesperides & Noble Numbers: Vol. 1 and 2" by Robert Herrick
The portion near the peduncle was binary, while the distal extremity of the fruit was ternary.
"Vegetable Teratology" by Maxwell T. Masters
Of the third ternary, the first gives a mythological birth of Shakespeare.
"The Works of Samuel Johnson, LL.D. in Nine Volumes" by Samuel Johnson
The British method is a mixture of the last two, but with an index-scale which is partly ternary and partly binary.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5" by Various
The ternary eutectic point, 253.
"The Phase Rule and Its Applications" by Alexander Findlay
It is by a Mr. C. B. CAYLEY, and is in the original ternary rhyme.
"The International Monthly, Volume 4, No. 4, November 1, 1851" by Various
There are two other faint and distant companions which do not partake in the motion of the ternary star.
"Scientific American Supplement, No. 648, June 2, 1888." by Various
We have in the Hessian the first instance of a covariant of a ternary form.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8" by Various
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In news:

Wittenstein's ternary actuator offers an all-in-one system with controller, motor, amplifier, and drive.
Brzozowski, M Yoeli, "On a Ternary Model of Gate Networks," IEEE Transactions on Computers, vol 28, no.
The authors propose extending initial solvent screening for a single- solvent system to the cocktail solvent screening of binary and ternary solvent mixtures.
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In science:

The next terms in (14) contain contribution of ternary and higher pairs.
Localization of a random heteropolymer onto a surface
According to the definition, a Lie triple system L of an associative algebra A is a subspace of A that is closed under the ternary composition [[a, b], c], where [a, b] = ab − ba.
A classification of generalized quantum statistics associated with classical Lie algebras
Equivalent formulations of this construction have been given by means of Freudenthal triple systems [Fre54, Fre59] or some other ternary algebras [Fau71].
New simple Lie superalgebras in characteristic 3
In particular, the symplectic triple systems are in bijection with the Faulkner ternary algebras with nonzero alternating bilinear form.
New simple Lie superalgebras in characteristic 3
See [Bro84] for a proof, in characteristic 3, of the relationship between Freudenthal triple systems and Faulkner ternary algebras.
New simple Lie superalgebras in characteristic 3
By Theorem 2.18, the null symplectic triple systems correspond bijectively to the Faulkner ternary algebras with trivial alternating bilinear form.
New simple Lie superalgebras in characteristic 3
Alberto Elduque, On a class of ternary composition algebras, J.
New simple Lie superalgebras in characteristic 3
Faulkner, A construction of Lie algebras from a class of ternary algebras, Trans.
New simple Lie superalgebras in characteristic 3
Ferrar, On the structure of symplectic ternary algebras, Nederl.
New simple Lie superalgebras in characteristic 3
Our cavity (for a > 0) has three of them (shown in dashed lines in Fig. 1(a)) and hence its horseshoe is ternary.
Design of switches and beam splitters using chaotic cavities
For the complete ternary tree with h levels, the probability that Short wins under optimal play converges to 3 − √5 ≈ 0.764 for large h (see the proof of Theorem 5.5).
Random-Turn Hex and other selection games
Let Sh = S be a subset of the leaves of the complete ternary tree of depth h.
Random-Turn Hex and other selection games
Corollary 3.6 The group defined by the dual automaton of A acts transitively on each level of the rooted ternary tree Q∗ .
On a series of finite automata defining free transformation groups
A ternary relation in a set X is a subset T of X 3 .
Lattices which can be represented as lattices of intervals
We define a ternary relation in X setting (abc)M if for every M ∈ M with a, c ∈ M we have also that b ∈ C .
Lattices which can be represented as lattices of intervals
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