Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definitions: Scalar |
ScalarAdjective1. Of or relating to a directionless magnitude; "scalar implicatures". Noun1. A variable quantity that cannot be resolved into components. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "scalar" was first used: 1656. (references) |
| Domain | Definitions |
Computing | Scalar 1. |
Aerospace | Any physical quantity whose field can be described by a single numerical value at each point in space.A scalar quantity is distinguished from a vector quantity by the fact that a scalar quantity possesses only magnitude, whereas a vector quantity possesses both magnitude and direction. (references) |
Mining | A quantity fully described by a number, such as a speed that has noassociated direction. See also:vector. (references) |
Source: compiled by the editor from various references; see credits. | |
(From Wikipedia, the free Encyclopedia)
The concept of a scalar is used in mathematics and physics. The concept used in physics is a more concrete version of the same idea that goes by that name in mathematics.
In mathematics, the meaning of scalar depends on the context; it can refer to real numbers or complex numbers or rational numbers, or to members of some other specified field. Generally, when a vector space over the field F is studied, then F is called the field of scalars. A scalar is formally a tensor of rank zero.
In physics a scalar is a quantity that can be described by a single number (either dimensionless, or in terms of some physical quantity). Scalar quantities have magnitude, but not a direction and should thus be distinguished from vectorss. More formally, a scalar is a quantity that is invariant under coordinate rotations (or Lorentz transformations, for relativity).
Examples of (non-relativistic) scalar quantities include:
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Scalar."
| The following table is compiled from various sources, across various languages. When English abbreviations or acronyms come from a non-English source, this is noted. | |||
| Entry | Source | Expression | Field |
SCALAR | English | Scaleable Architectures with Hardware Extensions for Low Bitrate Variable Bandwidth Realtime Videocommunications | Computing |
Source: compiled by the editor, based on several corpora (additional references). | |||
Crosswords: Scalar |
| English words defined with "scalar": dot product ♦ identity matrix, inner product ♦ scalar field, scalar matrix, scalar product ♦ unit matrix. (references) |
| Specialty definitions using "scalar": atmospheric electric field ♦ DIM statement, direct product, domain calculus ♦ Grad-Shafranov Equation ♦ Helicity ♦ Laplace equation, linear combination of vectors, linear map ♦ PANTOGRAPH MECHANISM, Pascal-S, projective plane ♦ scalar acceleration, scalar permeability for circularly polarised fields, scalar permeability for circularly polarized fields, scalar process, scalar velocity, scaling factor ♦ thumb wheel. (references) |
| Non-English Usage: "Scalar" is also a word in the following language with the English translation in parentheses. Romanian (scalare). |
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Books |
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High Tech |
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Source: compiled by the editor from various references; see credits. | |||
| Play | Caption | Play | Caption |
 | Scalar melody with arpeggiated and chordal accompaniment. | | Synthesized steel drums playing in parallel motion in an ascending scalar manner. |
| Source: compiled by the editor from various references; see credits. | |||
| "Scalar" is generally used as an adjective (general or positive) -- approximately 97.78% of the time. "Scalar" is used about 135 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) | 97.78% | 132 | 27,743 |
| Noun (proper) | 2.22% | 3 | 202,518 |
| Total | 100.00% | 135 | N/A |
Source: compiled by the editor from several corpora; see credits.
Expressions using "scalar": scalar field ♦ scalar matrix ♦ scalar permeability for circularly polarised fields ♦ scalar permeability for circularly polarized fields ♦ scalar process ♦ scalar product. Additional references. | |
| Hypenated Usage | |
Ending with "scalar": non-scalar. | |
| 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 |
scalar | 55 |
scalar wave | 41 |
scalar weapon | 15 |
scalar and vector | 10 |
scalar energy | 8 |
quantity scalar | 5 |
458 scalar | 4 |
scalar 100 | 3 |
scalar electromagnetics | 3 |
adic scalar | 3 |
scalar weaponry | 3 |
scalar technology | 2 |
ocnsignal.com scalar | 2 |
scalar war | 2 |
alamo los scalar | 2 |
scalar tesla wave | 2 |
| Source: compiled by the editor from various references; see credits. | |
| Language | Translations for "scalar"; alternative meanings/domain in parentheses. | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Arabic | مدرج (amphitheatre, stadium, theater, theatre). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Bulgarian | скаларна величина, скаларен, като стълбица. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Chinese | 量. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Danish | skalar. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Dutch | scalar, scalair. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Finnish | skalaari suure, skalaari. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
French | scalaire. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
German | Skalar, in Zahlen aufgeteilt. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Greek | βαθμωτός, αριθμητικός (digital). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Hungarian | skaláris mennyiség, skaláris. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Italian | scalare (climb, scale). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Japanese Kanji | スカッシング関数 (scallop, scalp treatment, scampi, scandium, Scaramouche, scatology, scholarship, scull, sculpture, skiing, skunk, squashing function). (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Japanese Katakana | スカラー . (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Korean | 단계가 있". (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Manx | scaillear. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
Pig Latin | alarscay escalar (clamber, climb, escalate, Mount, scale, schedule). (various references) mãrime scalarã. (various references) скалярный. (various references) skalaran, skalar, lestvičav. (various references) escalar (ascend, break in, burglarize, climb, escalade, escalate, scale). (various references) skalär. (various references) sayısal (digital, numeral, numerical, quantitative), sayılarla ifade edilebilen, basamaklı. (various references) скалярний. (various references) | ||||||||||||||||||||||||||||||||||||||||||||||||||||
| Language | Period | Translations |
| Latin | 500 BCE-Modern | scalaris. (various references) |
| Source: compiled by the editor from various references. | ||
Derivations | |
Words beginning with "scalar": scalare, scalares, scalariform, scalariformly, scalars. (additional references) | |
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"Scalar" is suggested in spellcheckers for the following: Csillag, Mcalary, Sachar, Saclay, Sacler, salar, Scaglia, scalare, Scaler, scalera, Scali, scalr, scalu, Schaar, schla, Schlaf, Sclar, scola, scolaire, scolar, scoler, shalwar, skala, skaler, Swalcap. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
| # of Phoneme Matches | Pronunciation | Word(s) rhyming with "scalar" (pronounced skā"ler) |
| 3 | -ā" l er | bailer, bailor, inhaler, jailer, Mailer, Sailer, sailor, semitrailer, tailor, Thaler, trailer, whaler. |
Source: compiled by the editor (additional references); see credits. | ||
Scrabble® Enable2K-Verified Anagrams | |
Direct Anagrams: craals, lascar, rascal, sacral. | |
| Words within the letters "a-a-c-l-r-s" | |
-1 letter: carls, craal, sacra. | |
-2 letters: aals, alar, alas, arcs, carl, cars, casa, lacs, lars, scar. | |
-3 letters: aal, aas, ala, als, arc, ars, car, lac, lar, las, ras, sac, sal. | |
-4 letters: aa, al, ar, as, la. | |
| Words containing the letters "a-a-c-l-r-s" | |
+1 letter: calcars, carpals, lascars, rascals, sacrals, scalare, scalars. | |
+2 letters: accruals, acerolas, alcazars, berascal, caesural, calamars, calcspar, calderas, caltraps, caporals, capsular, caracals, caracols, caraculs, caramels, caravels, carloads, carousal, ceramals, clarkias, claustra, crayolas, flatcars, fractals, labrusca, lacunars, placards, radicals, railcars, rascally, saccular, scalares, scapular, vascular. | |
+3 letters: acrosomal, acrylates, albacores, ancestral, arsenical, auriculas, avascular, balancers, barnacles, berascals, brachials, braciolas, cabrillas, cadastral, calamaris, calcspars, calendars, calvarias, calvaries, calyptras, canallers, caracoles, carbamyls, carbaryls, cardinals, carnivals, carousals, carryalls, cartloads, cavaleros, cavaliers, cavalries, charcoals, claptraps, claustral, claywares, coalyards, crawlways, escalader, escalator, flancards, flashcard, lacerates, lacrimals, marshalcy, parlances, placaters, racialism, racialist, rascality, satirical, scalogram, scapulars, simulacra, tailraces. | |
+4 letters: abstractly, acclaimers, acrostical, afterclaps, alacrities, alacritous, allocators, altercates, applecarts, archangels, arsenicals, ascribable, aspherical, backlasher, barcaroles, berascaled, broadscale, caballeros, cablegrams, calamaries, calcareous, calibrates, calvariums, camarillas, campestral, carambolas, caramelise, carbachols, carbazoles, carnassial, carnelians, cartilages, carvacrols, cascarilla, catalogers, catalyzers, caterwauls, cathedrals, cellarages, chaparrals, charladies, charlatans, cladograms, clapboards, clathrates, clearances, crawlspace, cuadrillas, curtalaxes, cycloramas, declarants, escaladers, escalators, escalatory, factorials, fascicular, flagrances, flashcards, landscaper, macroscale, majuscular, naviculars, paralytics, portulacas, practicals, racialisms, racialists, radicalise, radicalism, ramshackle, rebalances, reescalate, sacerdotal, sacroiliac, saltcellar, sarcolemma, sarcoplasm, sarcosomal, scalograms, scarlatina, scleromata, searchable, slavocracy, spiracular, trabeculas, trackballs, ultrabasic, varicellas. | |
+5 letters: accelerants, accelerates, accessorial, acrylamides, aeroelastic, ahistorical, aliteracies, altarpieces, ancestrally, ancillaries, applicators, articulates, backlashers, backslapper, barcarolles, berascaling, biracialism, blackamoors, blackboards, blackguards, blackhearts, blackwaters, cadastrally, cakewalkers, calamanders, calculators, calibrators, camelopards, candelabras, capillaries, caramelised, caramelises, caramelizes, carboxylase, cardplayers, carmagnoles, carnalities, carnallites, carnassials, cartularies, cascarillas, cataloguers, cavalierism, chalkboards, cladocerans, collaterals, coloraturas, craftsmanly, crawlspaces, culinarians, defalcators, desacralize, discardable, drastically, ejaculators, emasculator, flagrancies, halocarbons, icosahedral, increasable, isallobaric, lacerations, lacrimators, landscapers, laparoscope, laparoscopy, lumbosacral, macroscales, malefactors, marshalcies, metacarpals, nonvascular, paradisical, paraplegics, parasitical, particulars, patristical, pharisaical, piscatorial, postcranial, prosaically, provascular, purchasable, quacksalver, racewalkers, racialistic, radicalised, radicalises, radicalisms, radicalizes, radicalness, rapaciously, rapscallion, rascalities, reallocates, recanalizes, reescalated, reescalates, relandscape, rhapsodical, sacramental, sacrificial, sacroiliacs, saltcellars, sarcolemmal, sarcolemmas, sarcoplasms, satirically, scalariform, scarlatinal, scarlatinas, secretarial, spacewalker, spectacular, straitlaced, strategical, subcapsular, tabernacles, theatricals, thrasonical, tracklayers, translocate, ultrabasics, ultracasual, vacillators, vascularity, vasculature, vernaculars. | |
| 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)53 63 61 6C 61 72 |
| 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)01010011 01100011 01100001 01101100 01100001 01110010 |
HTML Code (1990) (references)S c a l a r |
ISO 10646 (1991-1993) (references)0053 0063 0061 006C 0061 0072 |
| 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)536967786784 |
| 1. Definition 2. Crosswords 3. Usage: Commercial 4. Sounds | 5. Usage Frequency 6. Expressions 7. Expressions: Internet 8. Translations: Modern | 9. Translations: Ancient 10. Abbreviations 11. Acronyms 12. Derivations | 13. Rhymes 14. Anagrams 15. Orthography 16. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
