Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definitions: Ternary |
TernaryAdjective1. 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". Noun1. The cardinal number that is the sum of one and one and one. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "ternary" was first used in popular English literature: sometime before 1833. (references) |
| Domain | Definitions |
Computing | Ternary |
Mining | A. A phase system that may be defined in terms of three components. b. Any phase in a ternary system consisting of all three components.c. A eutectic, peritectic, or other singular point in a ternary system. (references) |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
Although ternary most often refers to a system in which the three numerals, zero, one and two, are all positive integers, the adjective also leads its name to the balanced ternary system, in which case it is useful for those seeking the representation of both positive and negative numbers. It would also supposedly be of use to a race of creatures with three digits or three arms; Marc Okrand, in fact, has stated that the Klingon language runs on a ternary system.
| Decimal | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Ternary | 0 | 1 | 2 | 10 | 11 | 12 | 20 | 21 | 22 | 100 | 101 |
Ternary Computers
See also: Ternary logic
| Decimal | -6 | -5 | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Balanced ternary | 110 | 111 | 11 | 10 | 11 | 1 | 0 | 1 | 11 | 10 | 11 | 111 | 110 |
Unbalanced ternary can be converted to balanced ternary notation by adding 1111.. with carry, then subtracting 1111... without borrow. For example, 0213 + 1113 = 2023, 2023 - 1113 = 1113(bal) = 710.
Balanced ternary is easily represented as electronic signals, as potential can either be negative, neutral, or positive. Utilizing the third previously ignored state allows for much more data per digit; linearly approximately log(3)/log(2)=~1.589 bits per trit.
Compact Ternary Representation
Ternary is inefficient for human usage, just as binary is. Therefore, novenary (base 9, each digit is two base-3 digits) or base 27 (each digit is 3 base-3 digits) is often used, similar to how octal and hexadecimal systems are used in place of binary.External Links
Development of ternary computers at Moscow State University
Third Base
Nikolay Brusentsov
Balanced Ternary Web Pages
Ternary Arithmetic
Development of ternary computers at Moscow State University
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Ternary."
Synonyms: TernarySynonyms: treble (adj), triple (adj), triplex (adj), deuce-ace (n), leash (n), tercet (n), ternion (n), terzetto (n), three (n), threesome (n), tierce (n), trey (n), triad (n), trine (n), trinity (n), trio (n), triplet (n), troika (n). (additional references) |
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
Triality | Adjective: three; triform, trinal, trinomial; tertiary; ternary; triune; triarch, triadie; triple. |
Triplication | Adjective: treble, triple; tern, ternary; triplicate, threefold, trilogistic; third; trinal, trine. |
| Source: adapted from Roget's Thesaurus. | |
Crosswords: Ternary |
| English words defined with "ternary": Oxychloride, Oxysulphide ♦ Quantic ♦ Ternaries, treble, triple, triplex. (references) |
| Specialty definitions using "ternary": alloy system ♦ DH laser, double heterostructure laser ♦ eIF-2 ♦ nullary ♦ plait point ♦ Rho Factor ♦ ternary notation, ternary search tree. (references) |
| Domain | Title |
Books |
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Source: compiled by the editor from various references; see credits. | |
| "Ternary" is generally used as an adjective (general or positive) -- approximately 81.82% of the time. "Ternary" is used about 11 times out of a sample of 100 million words spoken or written in English. Its rank is based on over 700,000 words used in the English language. Some parts-of-speech are not covered due to the samples used by the British National Corpus. (note: percents less than one-hundredth of one percent have been omitted) |
| Parts of Speech | Percent | Usage per 100 Million Words | Rank in English |
| Adjective (general or positive) | 81.82% | 9 | 117,287 |
| Noun (singular) | 18.18% | 2 | 245,945 |
| Total | 100.00% | 11 | N/A |
Source: compiled by the editor from several corpora; see credits.
Expression using "ternary": ternary notation. Additional references. | |
| Source: compiled by the editor from various references; see credits. |
| The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com. |
| Expression | Frequency per Day |
ternary | 10 |
ternary diagram | 6 |
ternary trinary | 6 |
diagram phase ternary | 5 |
compound ternary | 4 |
cam ternary | 3 |
audio cover flip ternary | 2 |
addressable content memory ternary | 2 |
operator ternary | 2 |
| Source: compiled by the editor from various references; see credits. | |
| Language | Translations for "ternary"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Albanian | tri (three), tresh (threesome, three-throw, three-way, Trey). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Arabic | ثلاثي (threefold, treble, triangular, trine, trio, tripartite, triple, triplex, triumvirate), ثالث من. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Bulgarian | тройка (tern, threesome, triad, trine, triplet, troika), троен (ternate, three ply, threefold, three-way, treble, tri-, trifacial, trigeminal, trine, tripartite, triple, triplex), троичен, трикомпонентен, триада (triad), три (three). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Chinese | 三部组成. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Czech | trojice (group of three, threesome, triad, Trinity, trio, triplet), potrojný. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Danish | ternær. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Dutch | drietallig. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
French | ternaire. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
German | dreifach (three times, threefold, treble, trebly, triple, triplex, triply). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Greek | Τριαδικό, τριαδικόσ (triune). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Hebrew | של שלוש". (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Hungarian | hármas (three, treble, Trey, triad, trine, trio, triple, triplet, triplicate, troika). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Italian | ternario. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Manx | trooragh (triplicate, twisted). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Pig Latin | ernarytay ternário. (various references) ternar (triple). (various references) тройной (threefold, three-way, treble, trifurcate, trinal, trine, triple, triplex, triplicate), триада (triad). (various references) trostruk (three ply, threefold, treble, trine, tripartite, triple, triplex, triplicate), trojni (tripartite, triple), kome je osnova broj tri. (various references) ternario. (various references) ternärt system för halvledare (ternary-compound semiconductor system). (various references) üçlü (tern, ternate, terzetto, three, threefold, threesome, triad, trilateral, trine, trio, tripartite, triple, triplet, triplex), üçerli (in threes, ternate), üç parçalı (ternate, three-piece, tripartite), üç atomlu. (various references) тріада (triad), три"диний, потрійний (threefold, treble, trifurcate, triple, triplex, triplicate). (various references) ba (three, threesome). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Derivations | |
Words ending with "ternary": quaternary. (additional references) | |
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"Ternary" is suggested in spellcheckers for the following: ernery, itenary, tenar, tenary, terenary, teriary, Terner, Ternera, tertary, Tienari, Tinari, Tornaroy, Tornay, Tornrak, treary, Trenear, triaryl. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
Scrabble® Enable2K-Verified Anagrams | |
| Words within the letters "a-e-n-r-r-t-y" | |
-1 letter: artery, errant, ranter, yarner. | |
-2 letters: antre, entry, rater, reran, retry, tarre, tarry, teary, terra, terry, yarer, yearn, yenta. | |
-3 letters: aery, ante, arty, earn, etna, eyra, nary, near, neat, rant, rare, rate, rear, rent, tare, tarn, tear, tern, tray, trey, tyer, tyne, tyre, yare, yarn, yean, year. | |
-4 letters: ane, ant, any, are, art, ate, aye, ear, eat, era, ern, err, eta, nae, nay, net, ran, rat, ray, ret, rya, rye, tae, tan, tar, tea, ten, try, tye, yar, yea, yen, yet. | |
-5 letters: ae, an, ar, at, ay, en, er, et, na, ne, re, ta, ya, ye. | |
| Words containing the letters "a-e-n-r-r-t-y" | |
+1 letter: errantly, errantry. | |
+2 letters: carpentry, itinerary. | |
+3 letters: aberrantly, anteriorly, fraternity, interlayer, intermarry, interparty, quaternary, tyrannizer, unliterary, veterinary. | |
+4 letters: abhorrently, arrestingly, contrariety, craniometry, denigratory, fragmentary, fraternally, intercalary, interlayers, interlunary, narratively, nonliterary, platyrrhine, reactionary, rehydrating, rehydration, rudimentary, tyrannizers. | |
+5 letters: accretionary, arsenopyrite, artilleryman, artillerymen, consecratory, conservatory, contemporary, counterrally, extortionary, extrasensory, gerontocracy, heterokaryon, interlayered, interlibrary, intermediary, irrelevantly, parenterally, platyrrhines, presbyterian, reflationary, regenerately, rehydrations, remuneratory, renunciatory, restrainedly, secretionary, synarthroses, tercentenary, torrentially, transparency, transversely. | |
| Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro. | |
Hexadecimal (or equivalents, 770AD-1900s) (references)54 65 72 6E 61 72 79 |
| Leonardo da Vinci (1452-1519; backwards) (references)
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| American Sign Language (origins from 1620-1817 in Italy and, especially, France) (references)
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| Semaphore (1791, in France) (references)
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| Braille (1829, in France) (references)
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Morse Code (1836) (references)- . .-. -. .- .-. -.--. |
| Dancing Men (Sir Arthur Conan Doyle, 1903) (references)
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Binary Code (1918-1938, probably earlier) (references)01010100 01100101 01110010 01101110 01100001 01110010 01111001 |
HTML Code (1990) (references)T e r n a r y |
ISO 10646 (1991-1993) (references)0054 0065 0072 006E 0061 0072 0079 |
| British Sign Language (Fingerspelling, BSL; 1992, British Deaf Association Dictionary of British Sign Language) (references)
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Encryption (beginner's substitution cypher): (references)54718480678491 |
| 1. Definition 2. Synonyms 3. Crosswords 4. Usage: Commercial | 5. Usage Frequency 6. Expressions 7. Expressions: Internet 8. Translations: Modern | 9. Derivations 10. Anagrams 11. Orthography 12. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
