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Calculus

Definitions: Calculus

Calculus

Noun

1. A hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body.

2. An incrustation that forms on the teeth and gums.

3. The branch of mathematics that is concerned with limits and with the differentiation and integration of functions.

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

Date "calculus" was first used: 1666. (references)

 

Abbreviations & Acronyms: Calculus

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.

EntrySourceExpressionField
CALIBANEnglishCausal Calculus based on NetsComputing, European Union

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

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Specialty Definition: Calculus

(From Wikipedia, the free Encyclopedia)

Calculus is a branch of mathematics, developed from algebra and geometry. Calculus focuses on rates of change (within functions), such as accelerations, curves, and slopes. The development of calculus, is credited to Archimedes, Leibniz and Newton; lesser credit is given to Barrow, Descartes, de Fermat, Huygens, and Wallis. Fundamental to calculus are derivatives, integrals, and limitss. One of the primary motives, for the development of modern calculus, was to solve the so-called "tangent line problem".

There are two main branches of calculus:

The fundamental theorem of calculus states that derivatives and integrals are inverse operations. It was this realization by Newton/Leibniz that was the key to the explosion of analytic results after their work became known. The understanding of the connection allows us to recover the total change in a function over some interval from its instantaneous rate of change, by integrating the latter. The fundamental theorem also provides a method to compute many integrals algebraically, without actually performing the limit process, by finding antiderivatives. It also allows us to solve some differential equations, equations that relate an unknown function to its derivative. Differential equations are ubiquitous in the sciences.

The conceptual foundations of calculus include the function, limit, infinite sequences, infinite series, and continuity. Its tools include the symbol manipulation techniques associated with elementary algebra, and mathematical induction.

Calculus has been extended to differential equations, vector calculus, calculus of variations, time scale calculus and differential topology. The modern, formally correct version of calculus is known as real analysis.

History

Although Archimedes and others have used integral methods throughout history, and a great many (Barrow, Fermat, Pascal, Wallis and others) had previously invented the idea of a derivative, Gottfried Wilhelm Leibniz and Sir Isaac Newton are usually credited with the invention, in the late 1600s, of differential and integral calculus as we know it today. Leibniz and Newton, apparently working independently, arrived at similar results. It is thought that Newton's discoveries were made earlier, but Leibniz' were the first to be published. Newton (who represented derivatives as , , etc.) provided a host of applications in physics, but Leibniz' more flexible notation (, , etc.) was eventually adopted. (The simpler notation is still used in some cases where it is sufficient.)

In 1704 an anonymous pamphlet, later determined to have been written by Leibniz, accused Newton of having plagiarised Leibniz' work. That claim is easily refuted as there is ample evidence to show that Newton commenced work on the calculus long before Leibniz can possibly have done, however the resulting controversy lead to suggestions that Leibniz may not have invented the calculus independently as he claimed, but may have been influenced by reading copies of Newton's early manuscripts. This claim is not so easily dismissed and there is in fact considerable circumstantial evidence to support it. Leibnitz was not known at the time for his probity, and later admitted to falsifying the dates on certain of his manuscripts in an effort to bolster his claims. Furthermore, a copy of one of Newton's very early manuscripts with annotations by Leibniz was found among Leibniz' papers after his death, although the exact date when Leibniz first acquired this is unknown. It is also interesting to note that a similar controversy exists in philosophy over whether or not Leibniz may have appropriated the ideas of Spinoza in his writings on that subject.

The truth of the matter will never be known, and in any case is unimportant to anyone alive today. Leibniz' great contribution to calculus was his notation, and this is beyond doubt purely of Leibniz's invention. The controversy was unfortunate however in that it divided the mathematicians of Britain and Europe for many years. This set back British analysis (i.e. calculus-based mathematics) for a very long time. Newton's terminology and notation was clearly less flexible than that of Leibniz, yet it was retained in British usage until the early 19th century, when the work of the Analytical Society successfully saw the introduction of Leibniz's notation in Great Britain.

The strict limit definition of the derivative presented above was not evolved until much later, and neither Newton nor Leibniz, nor any of their followers until the mid-1800s, developed calculus with acceptable rigour. Nevertheless, the calculus was widely used, as it was a very powerful mathematical tool, but it was not until the nineteenth century that mathematicians like Augustin Louis Cauchy, Bernard Bolzano, and Karl Weierstrass were able to provide a mathematically rigorous exposition. This eventually resulted in deep explorations of the concept of infinity by Georg Cantor and others.

See also: calculus with polynomials

Further Reading

In mathematics and related fields, the term calculus more generally refers to a system of formal rules of inference and axioms that are used for computation.

This usage is particularly common in mathematical logic, where a calculus is applied to compute universally true statements of a certain formal logic. Examples include the calculus of natural deduction, the sequent calculus, as well as many other calculi that are deviced in proof theory.

Derived from the Latin word for "pebble", calculus in its most general sense can mean any method or system of calculation. Other topics where the term calculus is used in this sense include:

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

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Synonyms: Calculus

Synonyms: concretion (n), infinitesimal calculus (n), stone (n), tartar (n), the calculus (n). (additional references)

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Synonyms within Context: Calculus

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

Disease

Ague, angina pectoris, appendicitis; Asiatic cholera, spasmodic cholera; biliary calculus, kidney stone, black death, bubonic plague, pneumonic plague; blennorrhagia, blennorrhoea; blood poisoning, bloodstroke, bloody flux, brash; breakbone fever, dengue fever, malarial fever, Q-fever; heart attack, cardiac arrest, cardiomyopathy; hardening of the arteries, arteriosclerosis, atherosclerosis; bronchocele, canker rash, cardialgia, carditis, endocarditis; cholera, asphyxia; chlorosis, chorea, cynanche, dartre; enanthem, enanthema; erysipelas; exanthem, exanthema; gallstone, goiter, gonorrhea, green sickness; grip, grippe, influenza, flu; hay fever, heartburn, heaves, rupture, hernia, hemorrhoids, piles, herpes, itch, king's evil, lockjaw; measles, mumps, polio; necrosis, pertussis, phthisis, pneumonia, psora, pyaemia, pyrosis, quinsy, rachitis, ringworm, rubeola, St. Vitus's dance, scabies, scarlatina, scarlet fever, scrofula, seasickness, struma, syntexis, tetanus, tetter, tonsillitis, tonsilitis, tracheocele, trachoma, trismus, varicella, varicosis, variola, water qualm, whooping cough; yellow fever, yellow jack.

Numeration

Noun: numeration; numbering; Verb: pagination; tale, recension, enumeration, summation, reckoning, computation, supputation; calculation, calculus; algorithm, algorism, rhabdology, dactylonomy; measurement; statistics.

Arithmetic, analysis, algebra, geometry, analytical geometry, fluxions; differential calculus, integral calculus, infinitesimal calculus; calculus of differences.

Source: adapted from Roget's Thesaurus.

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Crosswords: Calculus

English words defined with "calculus": analysis, analyticBarycentric, Barycentric calculus, bilestone, Biliary calculus, bladder stoneCalculi, calculous, Calculus of functions, Calculus of probabilities, Calculus of variations, Centrobaric method, cystolith, CystotomyDifferential calculusenterolith, Exponential calculusfunctional calculusgallstone, Gottfried Wilhelm Leibnitz, Gottfried Wilhelm Leibniz, Gravel-stoneImaginary calculus, infinitesimal calculus, Infinitesimal increment, integral calculus, integration, Isaac Newtonkidney stoneLeibnitz, Leibnizmethod of fluxions, Method of increments, Method of indivisiblesnephrolith, NewtonParsley piert, predicate calculus, propositional calculus, ptyalithrenal calculus, renal colic, Rheometrysalivary calculus, Sir Isaac Newtonthe calculusuric acid, urinary calculusWooden spoon. (references)
Specialty definitions using "calculus": Bird-Meertens Formalismcalculus I, calculus II, Calculus of Communicating Systems, CCS, CHOCS, CIRCAL, CIRcuit CALculus, Codd's reduction algorithmDe Bruijn notation, del-operator, Dental Calculus, Dental Prophylaxis, Dental Scaling, domain calculusfirst-order predicate calculusGreen's TheoremHiLogKnights of the Lambda CalculusMATHEMATICAL TECHNICIAN, Modular Prolognasal calculusOral Hygiene IndexPPLambdaQA4, quel, query by example, query-by-examplerelational algebra, relational calculussalivary colic, spermatic calculustemporal logic, teraflop club, truncation error, tuple calculusxanthine calculi. (references)
Non-English Usage: "Calculus" is also a word in the following languages with English translations in parentheses.

Danish (calculus I), Latin (account, calculation, calculus, gallstone, Gallstones, game, live coal, pebble, piece for reckoning, reckoning, small weight, stone, voting).

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Modern Usage: Calculus

DomainUsage

Screenplays

Mr. Calculus Teacher Man is in the hay-ouse! (Ed; writing credit: Steven Joel Kerzner)

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

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Commercial Usage: Calculus

DomainTitle

Books

  • 5 Steps to A 5: Ap Calculus Ab (5 Steps to A 5 on the Ap Calculus Ab Exam, 1st Ed) (reference)

  • Ap Calculus Ab: An Apex Learning Guide (reference)

  • Arco Master the Ap Calculus Ab & Bc Test 2002 : Teacher-Tested Strategies and Techniques for Scoring High (Master the Ap Calculus Ab & Bc Test, 2002) (reference)

  • Barron's Ap Calculus Advanced Placement Examination : Review of Calculus Ab and Calculus Bc (6th Ed) (reference)

  • Cliffsap Calculus Ab & Bc (reference)

    (more book examples)

  

Periodicals

  • Calculus Of Variations And Partial Differential Equations (reference)

  • Fractional Calculus And Applied Analysis (reference)

  • Journal Of Fractional Calculus (reference)

    (more periodical examples)

  

Theater & Movies

  

Music

  

High Tech

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

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Image Slideshow: Calculus

Computer Images:
Calculus

More images...

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Non-Fiction Usage: Calculus

SubjectTopicQuote

Health

Brain activity, whether one is looking at a picture, working out a problem in calculus, or simply observing the surroundings, requires energy. (references)

Source: compiled by the editor from ICON Group International, Inc.; see credits.

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Usage Frequency: Calculus

"Calculus" is generally used as a noun (singular) -- approximately 100.00% of the time. "Calculus" is used about 109 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)100%10931,132

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

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Expressions: Calculus

Expressions using "calculus": absolute calculus algebraic calculus Barycentric calculus biliary calculus calculus biliary calculus I calculus II calculus in the reins calculus of Communicating Systems calculus of differences Calculus of functions Calculus of operations Calculus of probabilities Calculus of variations circuit CALculus Dental Calculus differencial calculus Differential calculus domain calculus Exponential calculus functional calculus Imaginary calculus infinitesimal calculus integral calculus intestinal calculus knights of the Lambda Calculus nasal calculus nephritic calculus predicate calculus probability calculus propositional calculus relational calculus renal calculus salivary calculus spermatic calculus the calculus tuple calculus urinary calculus. Additional references.

Hyphenated Usage

Beginning with "calculus": calculus-based.

Ending with "calculus": Knights of the Lambda-Calculus, Lambada-Calculus, lambda-calculus, nu-calculus, pi-calculus, polymorphic lambda-calculus, pure lambda-calculus, Second-Order Lambda-calculus, typed lambda-calculus.

Containing "calculus": predicate-calculus-like.

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

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Frequency of Internet Keywords: Calculus

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

calculus

6,196

calculus help

163

pre calculus

116

calculus problem

59

calculus history

56

calculus tutorial

54

calculus integral

50

ap calculus

49

calculus software

44

calculus limit

43
Source: compiled by the editor from various references; see credits.

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Modern Translations: Calculus

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

Albanian

  

njehsim (calculation, computation, count, reckoning), gur (boulder, cobble, piece, rock, stone). (various references)

   

Arabic 

  

‏حساب التفاضل والتكامل, ‏حصاة المثانة أو الكلية, ‏الحصاة الكلوية. (various references)

   

Bulgarian 

  

камък (concretion, rock, stone), клон на висшата математика, висша математика. (various references)

   

Chinese 

  

"石. (various references)

   

Czech

  

poèet (number, quantity, tally), kamének, kámen (jewel, rock, stone). (various references)

   

Danish

  

calculus (calculus I, gallstone), sten (concrement, concretion, gallstone, stone), konkrement (concrement, concretion, gallstone). (various references)

   

Dutch

  

steen (brick, cancelmatter, concrement, concretion, gallstone, gem, imposing stone, imposing surface, jewel, stone), infinitesimaalrekening (infinitesimal calculus), differentiaal- en integraalrekening (infinitesimal calculus). (various references)

   

Farsi 

  

حساب جامعه وفاضله , سنگ (Boulder, Rock, Stone), جامع وفاضل . (various references)

   

Finnish

  

calculus (gallstone), kivi (cobble, cobblestone, gallstone, rock, stone). (various references)

   

French

  

calcul (calculation, calculus I). (various references)

   

German

  

Rechnung (account, arithmetic, bill, calculation, check, count, Inv., invoice, reckoning, score, statement, sum, tally), Rechenart (arithmetic, type of calculation), infinitesimalrechnung (infinitesimal calculus). (various references)

   

Greek 

  

σύγκριμα (agglomerate, concrement, concretion, gallstone), λιθίαση, λογισμόσ (reflection, reflexion), λίθος (gallstone, gemstone, stone), διαφορικόσ λογισμόσ. (various references)

   

Hebrew 

  

אבן כליות (kidney stone, renal calculus), אב ית ש ים (tartar), חצץ (gravel, grit, macadam). (various references)

   

Hungarian

  

számítás (account, anticipation, bill, calculation, calculi, cast, count, estimate, reckoning). (various references)

   

Italian

  

calcolo (account, calculation, calculus I, computation, count, design, estimating, gallstone, gravel, number crunching, reckoning, stone, theory). (various references)

   

Japanese Kanji 

  

結石 , 微積分 . (various references)

   

Japanese Katakana 

  

びせきぶ", けっせき (absence, non-attendance). (various references)

   

Korean 

  

미 분학. (various references)

   

Manx

  

calcalys. (various references)

   

Pig Latin

  

alculuscay.(various references)

   

Portuguese

  

cálculo (account, appraisal, appraisement, calculation, cast, clearing-off, computation, compute, concretion, design, estimate, measurement, number crunching, numerator, putting, rate, reckoning, sum, tally, theory, working out). (various references)

   

Romanian

  

calcul (account, calculation, casting, computation, concretion, estimate, estimation, numeration, rate, sum). (various references)

   

Russian 

  

исчисление (estimate, numeration). (various references)

   

Serbo-Croatian

  

račun (account, arithmetic, bill, calculation, check, chit, count, reckoning, tab), kamen (rock, stone, stony). (various references)

   

Spanish

  

cálculo (accounting cost, calculation, computation, computing, counting, estimate, gallstone, number crunching, reckoning, stone). (various references)

   

Swedish

  

sten (boulder, cobble, cobblestone, concretion, pebble, rock, stone). (various references)

   

Thai

  

นิ่ว, ระบบการคำนว"เกี่ยวกับจำนวนที่มีการเปลี่ยนแปลงอย่างต่อเนื่อง เช่น ความเร็วของหินที่ตกลง. (various references)

   

Turkish

  

taş (allusion, concretion, dig, Flint, gem, gibe, gravel, hit, innuendo, jeer, jibe, lapidary, piece, rock, stone), hesap (account, arithmetic, bill, calculation, computation, count, counting, estimate, reckoning, score, settling, sum, sums). (various references)

   

Ukranian 

  

числення, камінь (rock, stone). (various references)

Source: compiled by the editor from various translation references.

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Ancestral Language Translations: Calculus

LanguagePeriodTranslations
Latin500 BCE-Modern

calculus. (various references)

Source: compiled by the editor from various references.

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Bible Trace: Calculus

LanguageDateSourceIsaiah Chapter 6, Verse 6
Greek (transliterated)250 BCSeptuagintKai apestalh proV me en twn serafin kai en th ceiri eicen anqraka on th labidi elaben apo tou qusiasthriou
Latin405VulgateEt volavit ad me unus de seraphin et in manu eius calculus quem forcipe tulerat de altari
Middle English1395WyclifAnd ther fleiy to me oon of the serafyn, and in his hond a cole, that with the toenge he toc fro the auter.
Jacobean English1611King JamesThen flew one of the seraphims unto me, having a live coal in his hand, which he had taken with the tongs from off the altar:
Victorian English1833WebsterThen one of the seraphim flew to me, having a live coal in his hand, which he had taken with the tongs from off the altar:
Basic English1964OgdenThen a winged one came to me with a burning coal in his hand, which he had taken from off the altar with the fire-spoon.

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

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Matched Bible Translations: Calculus

LanguageIsaiah Chapter 6, Verse 6
BulgarianТогава долетя при мене един от серафимите, като държеше в ръката си разпален въглен, що бе взел с щипци от олтара.
CebuanoUg unya ang usa sa mga serafin milupad nganhi kanako, nga may usa ka baga nga carbon diha sa iyang kamot nga iyang gikuha pinaagi sa mga kumpit gikan sa halaran:
Chinese有 一 '' 拉 弗 飛 到 我 跟 前 、 手 裡 拿 著 紅 炭 、 是 " 火 剪 從 壇 上 取 下 來 的 .
CroatianJedan od serafa doletje k meni: u ruci mu žerava koju uze kliještima sa žrtvenika;
DanishMen en af Seraferne fløj hen til mig; og han havde i Hånden et glødende Kul, som han med en Tang havde taget fra Alteret;
DutchMaar een van de serafs vloog tot mij, en had een gloeiende kool in zijn hand, die hij met de tang van het altaar genomen had.
FinnishSilloin lensi minun luokseni yksi serafeista, kädessään hehkuva kivi, jonka hän oli pihdeillä ottanut alttarilta,
FrenchMais l`un des séraphins vola vers moi, tenant la main une pierre ardente, qu`il avait prise sur l`autel avec des pincettes.
GermanDa flog der Seraphim einer zu mir und hatte eine glühende Kohle in der Hand, die er mit der Zange vom Altar nahm,
Haitian CreoleYonn nan bèt vivan yo pran yon chabon dife tou limen ak yon pensèt sou lotèl la, li vole vin bò kote m' avèk chabon dife a nan men li.
HungarianÉs hozzám repült egy a szeráfok közül, és kezében eleven szén vala, a melyet fogóval vett volt az oltárról;
Indonesian-Bahasa Sehari-hariKemudian salah satu makhluk itu terbang kepada saya membawa bara yang diambilnya dengan sepit dari mezbah.
Indonesian-Terjemahan LamaTetapi dari pada segala serafim itu terbanglah seorang mendapatkan aku, dan pada tangannya adalah bara api, yang telah diambilnya dari atas mezbah dengan penyepit.
ItalianAllora uno dei serafini volò verso di me; teneva in mano un carbone ardente che aveva preso con le molle dall'altare.
Korean때 에 그 스 랍 의 하 나 가 " 로 단 에 서 취 한 " 핀 숯 을 손 에 가 지 내 게 로 아 와 서
MaoriNa ko te rerenga mai o tetahi o nga herapima ki ahau, he waro mura i tona ringa, he mea tango mai e ia i te aata ki te kokopi.
Modern GreekΤοτε επετασε προς εμε εν εκ των Σεραφειμ εχον εν τη χειρι αυτου ανθρακα πυρος, τον οποιον ελαβε δια της λαβιδος απο του θυσιαστηριου.
NorwegianDa fløi en av serafene bort til mig med en gloende sten i sin hånd; med en tang hadde han tatt den fra alteret.
PortugueseEntão voou para mim um dos serafins, trazendo na mão uma brasa viva, que tirara do altar com uma tenaz;   
RumanianDar unul din serafimi a zburat spre mine cu un cqrbune aprins kn mknq, pe care -l luase cu clewtele de pe altar.
RussianфПЗ"Б ТЙМЕФЕМ ЛП НОЕ П"ЙО ЙЪ уЕТБЖЙНПЧ, Й Ч ТХЛЕ Х ОЕЗП ЗПТСЭЙК ХЗПМШ, ЛПФПТЩК ПО ЧЪСМ ЛМЕЭБНЙ У ЦЕТФЧЕООЙЛБ,
SpanishEntonces voló hacia mí uno de los serafines trayendo en su mano, con unas tenazas, un carbón encendido tomado del altar.
SwedishMen en av seraferna flög fram till mig, och han hade i sin hand ett glödande kol, som han med en tång hade tagit på altaret.
Thaiแล้วตนหนึ่งในเสราฟิมบินมาหาข้าพเจ้า ในมือมีถ่านเพลิง ซึ่งเขาเอาคีมคีบมาจากแท่นบูชา
UkrainianІ прилетів до мене один з Серафимів, а в руці його вугіль розпалений, якого він узяв щипцями з-над жертівника.

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

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Derivations & Misspellings: Calculus

Derivations

Words beginning with "calculus": calculuses. (additional references)

Words ending with "calculus": precalculus. (additional references)

Words containing "calculus": precalculuses. (additional references)


Misspellings

"Calculus" is suggested in spellcheckers for the following: calcu, calcul, calculas, calculis, calculos. (additional references)

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

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Rhyming with "Calculus"

# of Phoneme MatchesPronunciationWord(s) rhyming with "calculus" (pronounced ka"lkyulus)
6-k y u l u smeticulous, miraculous, ridiculous.
5-y u l u sfabulous, nebulous, populace, populous, scrupulous, stimulus, tremulous, unscrupulous.
4-u l u sacropolis, anomalous, Carolus, frivolous, garrulous, incredulous, libelous, marvelous, megalopolis, merciless, metropolis, nautilus, necropolis, Oxalis, pendulous, perilous, querulous, scandalous, scurrilous, syphilis, tantalus.
3-l u saccomplice, ageless, aimless, airless, Amaryllis, atlas, bacillus, backless, balas, baseless, blameless, bloodless, bolus, boneless, bottomless, boundless, brainless, breathless, callous, callus, careless, cashless, ceaseless, childless, classless, cloudless, clueless, Colas, colorless, cordless, countless, cutlass, defenseless, digitalis, directionless, doubtless, driverless, ductless, earless, effortless, endless, expressionless, eyeless, faceless, fatherless, fearless, featherless, featureless, feckless, fellas, fenceless, flawless, flightless, frictionless, fruitless, Gallus, gladiolus, godless, graceless, groundless, guileless, guiltless, hairless, hapless, harmless, headless, heartless, helpless, homeless, hopeless, hornless, humorless, irregardless, issueless, jealous, jobless, keyless, lactobacillus, landless, lawless, leaderless, leafless, legless, lifeless, limbless, limitless, listless, loveless, luckless, malice, meaningless, meatless, mindless, motherless, motionless, nameless, necklace, needless, odorless, overzealous, painless, palace, paperless, peerless, penniless, pilotless, pitiless, pointless, polis, powerless, priceless, prothallus, purposeless, reckless, regardless, relentless, remorseless, restless, riskless, rootless, rudderless, ruthless, scoreless, seamless, selfless, senseless, sexless, shameless, shapeless, shiftless, skinless, sleepless, sleeveless, smokeless, solace, soulless, speechless, spineless, spotless, stainless, stateless, stylus, surplus, tasteless, thankless, thoughtless, ticketless, tieless, timeless, tireless, toothless, topless, treeless, trellis, useless, valueless, victimless, voiceless, warrantless, weightless, windlass, windowless, wireless, witless, wordless, worthless, zealous, zipless.

Source: compiled by the editor (additional references); see credits.

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Anagrams: Calculus

Scrabble® Enable2K-Verified Anagrams

Words within the letters "a-c-c-l-l-s-u-u"

-2 letters: callus, caucus, sulcal.

-3 letters: calls, cauls, culls, luaus, lulus, scall, scull, usual.

-4 letters: alls, call, caul, cull, lacs, luau, lulu, sall, saul, sulu, ulus.

-5 letters: all, als, lac, las, sac, sal, sau, ulu.

 Words containing the letters "a-c-c-l-l-s-u-u"
 

+1 letter: calculous, calyculus.

 

+2 letters: calculuses.

 

+3 letters: canaliculus, precalculus.

 

+5 letters: precalculuses, sociocultural.

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: Calculus


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

43 61 6C 63 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)

01000011 01100001 01101100 01100011 01110101 01101100 01110101 01110011

HTML Code (1990) (references)

&#67 &#97 &#108 &#99 &#117 &#108 &#117 &#115

ISO 10646 (1991-1993) (references)

0043 0061 006C 0063 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)

3767786987788785

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INDEX

1. Definition
2. Synonyms
3. Crosswords
4. Usage: Modern
5. Usage: Commercial
6. Images: Slideshow
7. Quotations: Non-fiction
8. Usage Frequency
9. Expressions
10. Expressions: Internet
11. Translations: Modern
12. Translations: Ancient
13. Bible Trace
14. Abbreviations
15. Acronyms
16. Derivations
17. Rhymes
18. Anagrams
19. Orthography
20. Bibliography


  

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