Copyright © Philip M. Parker, INSEAD. Terms of Use.

Modulus

Definition: Modulus

Modulus

Noun

1. An integer that can be divided without remainder into the difference between two other integers; "2 is a modulus of 5 and 9".

2. The absolute value of a complex number.

3. (physics) a coefficient that expresses how much of a specified property is possessed by a specified substance.

Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved.
 

Etymology: Modulus \Mod"u*lus\, noun; plural Moduli. [Latin expression, small measure. See Module, noun.]. (Websters 1913)


Specialty Definitions: Modulus

DomainDefinitions

Aerospace

1. A real, positive quantity which measures the magnitude of some number, as the modulus of a complex number is the square root of the sum of squares of its components.2. A coefficient representing some elastic property of body, such as the modulus of elasticity or the modulus of resilience.Plural moduli. (references)

Chemical Industry

In rubber technology the tension stress required to stretch the rubber to a given strain. Source: European Union. (references)

Industry

Term used to measure resistance to stretch of a cured rubber compound in mega pascals(lbs. per. sq. in. ). Source: European Union. (references)

Mechanical Engineering

A)(general)the measure of a quantity that depends on two or more other quantities; b)(physics and mechanics)a constant indicating the relation between the amount of physical effect and that of the forces producing it. Source: European Union. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Modulus

(From Wikipedia, the free Encyclopedia)

The modulus of a vector r, usually written |r|, or sometimes simply r, is defined to be the length of the vector r. If r is written in terms of three orthonormal vectors (ie: mutually perpendicular vectors of unit length), i, j and k such that:

r = xi+yj+zk,

the modulus of r is the square root of x2+y2+z2.

It should be noted that the modulus of a vector is a scalar.

Modulus is also a synonym for:

In materials science modulus (or elastic modulus) is a measure of the stiffness of a material. See also Young's modulus

In computer programming, the modulus operator gives the remainder of integer division, ie modular arithmetic. Mathematicians tend to call this modulo, for example:

13 = 3 modulo 10
13 = 3 mod 10

This is because 10 is here the modulus of the congruence, and modulo (a Latin ablative) stands for 'to the modulus'.

C programmers will write:

13 % 10 = 3.

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Modulus."

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Synonyms within Context: Modulus

ContextSynonyms within Context (source: adapted from Roget's Thesaurus).

Elasticity

Flexibility, Young's modulus.

Number

Power, root, exponent, index, logarithm, antilogarithm; modulus, base.

Source: adapted from Roget's Thesaurus.

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Crosswords: Modulus

English words defined with "modulus": bulk moduluselastic modulusModuli, Modulus of a machine, Modulus of a system of logarithms, modulus of elasticity, modulus of rigidityYoung's modulus. (references)
Specialty definitions using "modulus": bulk modulus of elasticitycomplex impedancedrift mobilityelasticity of bulk, extrapolated gain-frequency productfineness modulusloss modulus, low-duty fire clay brickM-glass, modulus of elasticity in shear, modulus of incompressibility, modulus of rupture, modulus of shearingNicholls' techniqueplastic modulus, properties of sectionsrefractive modulus, remolding index, return loss, rigidity modulussecant modulus of elasticity, section factor, section modulus, shear loss modulus, shear modulus, shear strain, sonic method, sound velocity, strain relief method, stress-strain diagram, SUPERVISOR, HARDBOARDtransition frequency, tunnel-diode CR productunity-gain frequencyYoung modulusZ-Theta chart. (references)
Non-English Usage: "Modulus" is also a word in the following languages with English translations in parentheses.

Hungarian (module), Latin (measure, model, module, mold, small measure).

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Commercial Usage: Modulus

DomainTitle

Books

  • Composite Materials, Quality Assurance, and Processing: Symposium by Astm Comm D-30 on High Modulus Fibers & Composites, St. Louis, Mo., 20 Oct., '8 (reference)

  • Craft & Architecture: Modulus 22: The Architectural Review at the University of Virginia McMxciii (reference)

  • Dynamic Elastic Modulus Measurements in Materials (Astm Special Technical Publication, 1045) (reference)

  • High Modulus Polymers: Approaches to Design and Development (Plastics Engineering Series, Vol 17) (reference)

  • High Modulus Wholly Aromatic Fibres (reference)

    (more book examples)

  

High Tech

  

Consumer Goods

Source: compiled by the editor from various references; see credits.

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Usage Frequency: Modulus

"Modulus" is generally used as a noun (singular) -- approximately 97.89% of the time. "Modulus" is used about 237 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 SpeechPercentUsage per
100 Million Words
Rank in English
Noun (singular)97.89%23219,713
Noun (plural)1.69%4175,879
Noun (proper)0.42%1339,140
                    Total100.00%237N/A

Source: compiled by the editor from several corpora; see credits.

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Expression: Modulus

Expressions using "modulus": bulk modulus elastic modulus flexural modulus loss modulus modulus of a machine modulus of a system of logarithms modulus of elasticity modulus of elasticity in shear modulus of rigidity modulus of rupture modulus of shearing modulus of stiffness modulus of subgrade reaction refractive modulus rigidity modulus section modulus shear loss modulus shear modulus young modulus youngs modulus Young's modulus. Additional references.

Hyphenated Usage

Beginning with "modulus": modulus-to-density.

Ending with "modulus": high-modulus.

Source: compiled by the editor from various references; see credits.

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Frequency of Internet Keywords: Modulus

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.
 
ExpressionFrequency
per Day
ExpressionFrequency
per Day

modulus

120

flea modulus

4

youngs modulus

48

steel modulus

4

modulus of elasticity

34

modulus rigidity

4

modulus bass

27

resilient modulus

4

checking modulus

22

modulus soil

4

infinity modulus

22

fineness modulus

4

modulus section

21

elasticity modulus youngs

4

bulk modulus

11

modulus operator

4

modulus guitar

11

java modulus

3

flexural modulus

10

bass guitar modulus

3

shear modulus

9

modulus secant

3

elasticity modulus steel

9

genesis modulus

3

tensile modulus

7

wood modulus of elasticity

3

elastic modulus

7

aluminum modulus of elasticity

3

bass flea modulus

6

concrete elasticity modulus

3

modulus of rupture

5

cbr modulus slag

3

10 modulus

5

bulk modulus water

3

steel youngs modulus

5

math modulus

3

i modulus

5

modulus ohmeda

3

modulus young

5

modulus plate slag

2
Source: compiled by the editor from various references; see credits.

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Modern Translation: Modulus

Language Translations for "modulus"; alternative meanings/domain in parentheses.

Chinese 

  

模数 (Moduli, modulo). (various references)

   

Danish

  

modulus, modul (building block, element, module, program unit, subarray), modstandstal, modstandsmoment, elasticitetsmodul (elasticmodulus, modulus of elasticity, Young's modulus). (various references)

   

Dutch

  

moduul (equipment unit, module, physical unit, program unit), modulus (module), weerstandsmodulus, hoge frequentie modulus. (various references)

   

Finnish

  

moduuli (module). (various references)

   

French

  

module en haute fréquence, module de résistence, module (module). (various references)

   

German

  

modul (module, segment). (various references)

   

Greek 

  

συντελεστής ελαστικότητας (coefficient of elasticity, modulus of elasticity, Young's modulus), συντελεστής (coefficient, factor), βήμα (footstep, gait, pace, pas, rostrum, step, stride), μόντουλο, μέτρο ελαστικότητας (modulus of elasticity), μέτρο αντίστασης, μέτρο (gauge, measure, measurement, meter, metre, standard). (various references)

   

Hungarian

  

modulusz (module, moduli), együttható (coefficient, factor, moduli), arányszám (moduli, rate, ratio). (various references)

   

Italian

  

modulo (blank, form, licence, module, permit, printed form). (various references)

   

Japanese Kanji 

  

弾性率 (modulus of elasticity), せ"断弾性係数 (elastic shear modulus), せ"断剛性 (shear modulus). (various references)

   

Japanese Katakana 

  

せ" ""うせい (shear modulus), せ" " "せいけいすう (elastic shear modulus), "せいりつ (modulus of elasticity). (various references)

   

Manx

  

moddyl. (various references)

   

Pig Latin

  

odulusmay

   

Portuguese

  

módulo (mogul). (various references)

   

Romanian

  

coeficient (coefficient, factor, multiplier, quotient). (various references)

   

Russian 

  

модуль (mod, module). (various references)

   

Spanish

  

módulo (module). (various references)

   

Swedish

  

modul (module), böjmotstånd. (various references)

   

Turkish

  

modül (module). (various references)

   

Ukrainian

  

коефіці"нт (coefficient, multiplier, number), модуль (module). (various references)

Source: compiled by the editor from various translation references.

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Misspellings: Modulus

Misspellings

"Modulus" is suggested in spellcheckers for the following: modulist, moudour, Moulas, Muduuli. (additional references)

Source: compiled by the editor, based on several corpora (additional references).

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Rhyming with "Modulus"

Words rhyming with "modulus" (pronounced 'Mod"u*lus'): Abaculus, AEolus, Alto-cumulus, Alveolus, Angelus, Annulus, Articulus, Asilus, Astragalus, Bacillus, Baetulus, Bolus, Bucephalus, Callus, Canaliculus, Carolus, Cauliculus, Clitellus, Crotalus, Cucullus, Embolus, Flocculus, funiculus, Gladiolus, Glomerulus, hilus, homunculus, hydrocephalus, Lienculus, Limulus, loculus, Malleolus, modiolus, Monomphalus, Nautilus, Nucellus, Nucleolus, Obelus, Obolus, Ocellus, Oculus, Overplus, Palulus, Palus, Paxillus, Pediculus, Peplus, Pessulus, Phacellus, Phallus. (additional references)

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Anagrams: Modulus

Scrabble® Enable2K-Verified Anagrams

Words within the letters "d-l-m-o-s-u-u"

-1 letter: moulds.

-2 letters: doums, modus, molds, mould, solum.

-3 letters: dols, doms, doum, duos, loud, lums, mods, mold, mols, muds, olds, ouds, slum, sold, soul, sulu, sumo, udos, ulus.

-4 letters: dol, dom, dos, duo, lum, mod, mol, mos, mud, mus, ods, old, oms, oud, sod, sol, som, sou, sum, udo, ulu.

-5 letters: do, lo, mo, mu, od.

 Words containing the letters "d-l-m-o-s-u-u"
 

+3 letters: loudmouths, outmuscled.

 

+4 letters: murderously, musclebound, unmelodious.

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.

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Alternative Orthography: Modulus


Hexadecimal (or equivalents, 770AD-1900s) (references)

4D 6F 64 75 6C 75 73

Leonardo da Vinci (1452-1519; backwards) (references)

American Sign Language (origins from 1620-1817 in Italy and, especially, France) (references)

=

Semaphore (1791, in France) (references)

Braille (1829, in France) (references)

Morse Code (1836) (references)

--    ---    -..    ..-    .-..    ..-    ...

Dancing Men (Sir Arthur Conan Doyle, 1903) (references)

Binary Code (1918-1938, probably earlier) (references)

01001101 01101111 01100100 01110101 01101100 01110101 01110011

HTML Code (1990) (references)

&#77 &#111 &#100 &#117 &#108 &#117 &#115

ISO 10646 (1991-1993) (references)

004D 006F 0064 0075 006C 0075 0073

British Sign Language (Fingerspelling, BSL; 1992, British Deaf Association Dictionary of British Sign Language) (references)

Encryption (beginner's substitution cypher): (references)

47817087788785

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Non-English Dictionaries with "Modulus"

LanguageCoverageLanguage Translations

Chinese

字典 , 定義 , 定义, 翻译汉语, 中 , 漢 , 中國 , kineser, kiinalainen, Chinois, Chinesisch, Κινέζος, κινέζικα, κινέζικοσ, κινέζοσ, σινικόσ, kínai, cinese, チフス菌 , チャイニーズ , Sheenish, Sheenagh, chinês, chinezesc, chinezeşte, chinezã, chinez, китайский, китаец, chino, kinesisk, çinli, çince, çin ile ilgili, çin, китаянка, китайська мова, китайський, кита"ць

Danish

ordbog, deskriptordefinition, oversættelse丹麦语, tanskalainen, danois, dänisch, δανικόσ, δανόσ, dán, danese, Danvargish, Danvargagh, dinamarquês, danez, датский, danés, dansk, danimarkalı, danimarka dili, датський, датська мова

Dutch

woordenboek, definitie, translatie菏蘭語 , 荷兰语, hollandsk, hollantilainen, néerlandais, holländisch, ολλανδικόσ, ολλανδόσ, holland, olandese, Ollanish, Germaanish, holandês, olandez, nemţesc, limba olandezã, german, голландский, holandés, holländsk, alman, eş, flemenkçe, holandaca, hollanda, karı, hollandalı, hollandalılara özgü olan, Hollandali, hollanda'ya ait, голландська мова, голландський

Finnish

määritelmä, translaatio, taajuusmuutos芬蘭語 , 芬兰语, suomi, suomalainen, finnois, Finlandaise, finlandais, finnisch, φινλανδικόσ, finn, finlandese, Fynlannish, Fynlannagh, finlandês, finês, finlandezã, финский, finlandés, finés, finsk, fince, finlandiya'ya özgü, фінська мова, фінський

French

dictionnaire, définition, traduction法國 , 法文 , 法語 , 法语, ranskalainen, français, französisch, γαλλικόσ, γαλλική γλώσσα, γαλλίδα, γάλλοσ, francia, francese, フレコン化 , 仏文 , フランス" , 仏 , ふつぶ", ふつ, フレンチ , フランセ , Ny Frangee, Mooinjey ny Frank, francês, francezii, franţuzesc, francezã, francez, franţuzeşte, французский, francés, fransk, franska, fransızca, fransız, Fransiz, fransızca ile ilgili, fransa ile ilgili, французька мова, французький

German

Übersetzung, Wörterbuch, Definition德语, 德國 , 德文 , 德語 , tysker, Duitse, saksalainen, allemand, "ερμανός, német, tedesco, ジプシー音楽 , ジャーマン , Germaanish, Germaanagh, Garmane, Carmane, alemão, neamţ, немецкий, alemán, tysk, alman, німкеня, німецький, німець

Greek

λεξικό, ορισμός, μετάφραση希腊语, 希臘語 , græker, kreikkalainen, grec, grieche, ελληνικόσ, 'Ελληνας, görög, greco, ギリシア語 , ギリシア", Greagish, Greagagh, grego, greacã, греческий, грек, griego, grek, yunanistan'a ait, yunanca, yunan, Yunanli, yunanlı, Rumca, rum, грецький, гречанка, грецька мова

Hungarian

szótár, meghatározás, definíció, fordítás匈牙利语, 匈牙利語 , ungarer, Hongaarse, unkarilainen, hongrois, Ungar, Ούγγρος, magyar, ungherese, Ungaarish, Ungaaragh, unguresc, limba ungarã, limba maghiarã, ungureşte, ungur, maghiar, венгр, венгерский, húngaro, ungrare, macarca, macar, угорська мова, угорський, угорка, угорець

Italian

dizionario, definizione, traduzione意大利 , 意大利語 , 意大利语, italiener, italialainen, italien, italienisch, Ιταλός, olasz, italiano, Iddaalish, italienesc, italieneşte, italian, italianã, итальянский язык, итальянец, итальянский, italiensk, italienska, italienare, italyanca, italyan, італі"ць, італійська мова, італійський, італійка

Japanese Kanji

辭典 , 辞典 , 字引 , 辞林 , 字書 , ディーゼル電気車 , 言海 , 辞彙 , 辞書 , 確定 , ディーゼル電気車 , デ'ドロ酢酸 , 翻訳 日語 , 日语, 日本 , 日文 , 倭 , japanilainen, Japonais, japaner, japanisch, ιαπωνικόσ, Ιάπωνας· "ιαπωνέζος, ιάπωνεσ, ιάπων, ιαπωνικά, japán, giapponese, 邦語 , 邦人 , ジャスミン茶 , ほう", ジャパニーズ , ほうじ", Shapaanagh, Shapaanish, japonês, japonezã, японский, японец, japonés, japansk, Japonca, японська мова, японський, японка, японець

Japanese Katakana

じい, じびき, じて", ディクショナリー , じり", じしょ, '"かい, ディクショナリ , デフィニション , ディフィニション , ていぎ, かくてい, へい"ういどう, やくじゅつ, トランスレーション , やくしょ, やくしゅつ, "うどく, ほ"やく, ほ"やくしょ日語 , 日语, 日本 , 日文 , 倭 , japanilainen, Japonais, japaner, japanisch, ιαπωνικόσ, Ιάπωνας· "ιαπωνέζος, ιάπωνεσ, ιάπων, ιαπωνικά, japán, giapponese, 邦語 , 邦人 , ジャスミン茶 , ほう", ジャパニーズ , ほうじ", Shapaanagh, Shapaanish, japonês, japonezã, японский, японец, japonés, japansk, Japonca, японська мова, японський, японка, японець

Manx

fockleyr, geyrid, meenaghey, keeayllaght, baghtmanx, mann-szigeti nyelv, Manninish, Manninagh, Gaelgagh, Yn Ghaelg, язык жителей о-ва мэн, с о-ва мэн, los habitantes de la isla de man, lengua de la isla de man, de la isla de man, från ön man, man adası, man dili, менський, менський діалект

Portuguese

dicionário, definição, tradução葡萄牙語 , 葡萄牙人 , 葡萄牙语, portugiser, portugalilainen, portugais, portugiesisch, πορτογάλοσ, ορτογάλος, portugál, portoghese, ポルトガル語 , ポルトガル", Portiugish, Portiugagh, português, portughez, португальский, portugués, portugis, portekizce, portekiz, Portekízlí, portekizli, португальський, португальська мова, португалець

Romanian

dicţionar, definiţie, determinare, definire, translaţie, traducere, tãlmãcire罗马尼亚语, rumæner, Roemeens, romanialainen, Roumain, rumäne, ρουμανόσ, Ρουμάνος, román, rumeno, Roomainagh, romeno, român, румынский, румын, rumano, rumänsk, румунський, румунка, румунська мова, румун

Russian

словарь, определение, трансляция, сдвиг, перевод, перемещение俄語 , 俄文 , 俄语, russer, venäläinen, Russe, russisch, Ρώσος, orosz, russo, ロシア語 , ロシア", Rooshish, Rooshagh, русский, ruso, ryss, Rusça, росіянка, росіянин, російська мова, російський

Spanish

diccionario, definición, traducción西班牙語 , 西班牙文 , 西班牙语, Spaans, espanjalainen, espagnol, spanisch, ισπανικά, ισπανικόσ, ισπανοί, spanyol, spagnolo, スペイン語 , スパイ罪 , スペイン", スパニッシュ , Spaainish, Spaainagh, espanhol, spaniol, spaniolesc, spanioleşte, испанский, español, spanska språk, spansk, ispanyollar, ispanyol, ispanyolca, іспанський, іспанська мова

Swedish

ordbok, lexikon, översättning瑞典語 , 瑞典语, Zweeds, ruotsalainen, suédois, schwedisch, σουηδικόσ, σουηδικά, svéd, svedese, スウェーデン語 , スウェーデン", Soolynish, Soolynagh, шведский, sueco, svensk, isveççe, isveç dili, isveç, Ísveçlí, шведська мова, шведський

Turkish

sözlük, ansiklopedik sözlük, açıklama, belirleme, belirtme, kesinleştirme, tanım, tarif, seçiklik, tanımlama, tercüme土耳其語 , 土耳其, turkkilainen, turque, türkisch, τούρκικοσ, török, Yn Turkish, Turkagh, turcesc, turc, турецкий, turco, turkisk, türkçe, türk, турецький, турецька мова

Ukrainian

словник, довідник, чіткість, тлумачення, виразність, визначення, дефініція, ясність, чітка чутність, процес перекладу, переклад, пояснення, переміщення乌克兰, Oekraïens, ukrainalainen, ukrainien, ukrainisch, ukrainerin, Ukrainer, ουκρανικόσ, Ουκρανός, ουκρανόσ, ukrán, ucraino, Ookraanagh, Ookraanish, ucraniano, ucrainean, украинский язык, украинский, украинец украинский, ucranio, ukrainare, ukraynalı, ukrayna, ukraynaca, український, українець

English

Dictionary, Definition, Translation英语, 英國 , 英文 , 英 , 英語 , englantia, englantilainen, anglais, englisch, εγγλέζοσ, αγγλικόσ, angol, inglese, Sostynagh, Sostnagh, Baarlagh, inglês, englezesc, английский, inglés, engelsk, ingiltere, ingiliz, Íngílízce, ingilizce, Íngílíz, ýngilizce, англійський, англійці, англійська мова
 


INDEX

1. Definition
2. Crosswords
3. Usage: Commercial
4. Usage Frequency
5. Expressions
6. Expressions: Internet
7. Translations: Modern
8. Derivations
9. Rhymes
10. Anagrams
11. Orthography
12. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.