Copyright © Philip M. Parker, INSEAD. Terms of Use.
Definition: Integrate |
IntegrateVerb1. Make into a whole or make part of a whole; "She incorporated his suggestions into her proposal". 2. Open (a place) to members of all races and ethnic groups; "This school is completely desegregated". 3. Become one; become integrated; "The students at this school integrate immediately, despite their different backgrounds". 4. Calculate the integral of; calculate by integration; in mathematics. Source: WordNet 1.7.1 Copyright © 2001 by Princeton University. All rights reserved. |
Date "integrate" was first used in popular English literature: sometime before 1841. (references) |
Note: Integrate \In"te*grate\, transitive verb. [imperative past participle Integrated; present participle verb or noun Integrating.]. (references) |
(From Wikipedia, the free Encyclopedia)
For non-mathematical meanings of "Integral", see integration (non-mathematical). It is recommended that the reader be familiar with algebra, derivatives, functions, and limitss.
In mathematics, the term "integral" has two unrelated meanings; one relating to integers, the other relating to integral calculus.
Integral Values
A real number is "integral" if it is an integer. The integral value, of a real number x, is defined as the largest integer which is less than, or equal to, x; this is often denoted by ; known as the "floor function".
Integral Calculus
In calculus, the integral, of a function, is the size of the area bounded by the x-axis and the graph of a function, f(x); negative areas are possible. Integrals are calculated by integration, which is a so-called "accumulation process" (see below).
Let f(x) be a function of the interval [a,b] into the real numbers. For simplicity, assume that this function is non-negative (it takes no negative values.) The set S=Sf:={(x,y)|0≤y≤f(x)} is the region of the plane between f and the x axis. Measuring the "area" of S is desirable, and this area is denoted by ∫f, and it is the (definite) integral of f.
Improper and Trigonometric Integrals
If either the interval of integration, or the range of the function, is infinite; the integral is an "improper integral". Integrals which involve trigonometric functions, are trigonometric integrals. Some integrals can be evaluated via trigonometric substitution.
Means of Integration
The following pages discuss means of integrating various functions:
- disk integration
- list of integrals
- shell integration
- trigonometric integration
Riemann and Lebesgue Integrals
One should examine the articles on Riemann and Lebesgue integrals. The concept of Riemann integration was developed first, and Lebesgue integrals were developed to deal with pathological cases for which the Riemann integral was not defined. If a function is Riemann integrable, then it is also Lebesgue integrable, and the two integrals coincide.The antiderivative approach occurs when we seek to find a function F(x) whose derivative F(x) is some given function f(x). This approach is motivated by calculus, and is the main method used for calculating the area under the curve as described in the preceding paragraph, for functions given by formulae.
Functions which have antiderivatives are also Riemann integrable (and hence Lebesgue integrable.) The nonobvious theorem that states that the two approaches ("area under the curve" and "antiderivative") are in some sense the same is the fundamental theorem of calculus
(And the relationships works in reverse; the Radon-Nikodym derivative can be pulled out of the measure machinery underlying Lebesgue integrals.)
The nuance between Riemann and Lebesgue integration
Both the Riemann and the Lebesgue integral are approaches to integration which seek to measure the area under the curve, and the overall schema in both cases is the same.
First, we select a family of elementary functions, for which we have an obvious way of measuring the area under the curve. In the case of the Riemann integral, this choice is so that the area under the curve can be regarded as a finite union of rectangles, and the functions are called step functions. For the Lebesgue integral, "rectangle" is replaced by something more sophisticated, and the resulting functions are called simple functions.
Then we try to impose monotonicity. If 0≤f≤g (and hence Sf is a subset of Sg) then we should have that ∫f≤∫g. With this monotonicity requirement, for an arbitrary non-negative function f, we can approximate its area from below using a carefully chosen elementary function s (in the case of Riemann integration, a step function, and in the case of Lebesgue integration, a simple function.) We choose s so that s≤f but s is very close to f. The area under s is a lower bound for the integral of f, and it is called a lower sum. In the case of the Riemann integral, we also produce upper sums in a similar fashion: we choose step functions, say s, so that s≥f but s is very close to f, and we regard such an upper sum as an upper bound for the area under f. The Lebesgue theory does not use upper sums.
Lastly, a limit-taking step is taken to make the elementary functions approach f more and more closely, and an area is obtained for some functions f. The functions which we can integrate are said to be integrable. However, the differences begin here; the Riemann theory was simpler thus far, but its simplicity results in a more limited set of integrable functions than the Lebesgue theory. In addition, the interaction between limits and the integral are more difficult to describe in the Riemann setting.
Other integrals
Although the Riemann and Lebesgue integrals are the most important ones, a number of others exist, including but not limited to:
- the Darboux integral, a variation of the Riemann integral
- the Denjoy integral, an extension of both the Riemann and Lebesgue integrals
- the Euler integral
- the Haar integral
- the Henstock-Kurzweil integral, an extension of both the Riemann and Lebesgue integrals (also called HK-integral)
- the Henstock-Kurzweil-Stieltjes integral (also called HK-Stieltjes integral)
- the Lebesgue-Stieltjes integral (also called Lebesgue-Radon integral)
- the Perron integral, which is equivalent to the restricted Denjoy integral
- the Stieltjes integral, an extension of the Riemann integral (also called Riemann-Stieltjes integral)
See also: Calculus, List of integrals
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Integral."
(From Wikipedia, the free Encyclopedia)
''This is a disambiguation page; if one followed a link here, one might want to go back and adjust that link. Integration is constructing an object, a theory, etc. from separate more limited parts. The result is something composite or integral.Integration can be:
See also:
- the process of ending racial segregation in USA, racial integration, also called desegregation
- a mathematical technique, mathematical integration, see integral
- Very-large-scale integration was a step in semiconductor technology
- Computer telephony integration, as a step in telephone technology
- an economic process; see: horizontal integration and vertical integration
- Sensory integration dysfunction, a common symptom of Autism
Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Integration."
Synonyms: IntegrateSynonyms: desegregate (v), incorporate (v), mix (v). (additional references) |
| Antonyms: differentiate (v), disintegrate (v), segregate (v). (additional references) |
| Context | Synonyms within Context (source: adapted from Roget's Thesaurus). |
Whole | Verb: form a whole, integrate, embody, amass; aggregate; (assemble); amount to, come to. |
| Source: adapted from Roget's Thesaurus. | |
| Domain | Usage | |
Screenplays | Soon every American home will integrate their television, phone and computer (The Cable Guy; writing credit: Lou Holtz Jr.) | |
Source: compiled by the editor from various references; see credits. | ||
| Domain | Title | ||
Books |
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Music |
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Source: compiled by the editor from various references; see credits. | |||
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| "Charger Cap" by John Sanderson Commentary: "Notice the surface development in the reflections... integrate nicely with the stripe and fuel filler." |
Source: photographs selected by the editor, with permission from the photographers. |
| Subject | Topic | Quote |
Health | The most effective models integrate criminal justice and drug treatment systems and services. (references) | |
They amplify signals, allow a single first messenger to control several cellular processes, and help integrate the many signals cells receive. (references) | ||
As noted, several managed care programs have made at least partial efforts to integrate, or coordinate, acute care and LTC. The two efforts certainly are linked. (references) | ||
Business | The Danish market has also started to integrate into the Nordic market. (references) | |
However, VoIP is making a comeback as businesses move to integrate voice, and fax, over an IP network. (references) | ||
Generators integrate sound, image and automatic sensors in order to reduce the possibilities of sabotage. (references) | ||
Children | Bosnia and Herzegovina | Steps were taken during the year to integrate minority students into some schools. (references) |
Bangladesh | The Center also helps integrate residents back into society and provides vocational training, micro-credits, and employment generation opportunities. (references) | |
Syria | Persons with Disabilities The law prohibits discrimination against persons with disabilities and seeks to integrate them into the public sector work force. (references) | |
Civil Liberties | Turkey | The UNHCR works with local partners including the Turkish Red Crescent Society, the Association for Solidarity with Asylum Seekers and Migrants, and the Anatolian Development Foundation to integrate refugees into society. (references) |
Egypt | The Constitution provides for the granting of asylum and/or refugee status in accordance with the 1951 Convention Relating to the Status of Refugees and its 1967 Protocol; however, the Government maintains several reservations to the convention that limit the ease with which the refugee population may integrate locally. (references) | |
Philippines | Leaders in both Christian and Muslim communities contend that economic disparities and ethnic tensions, more than religious differences, are at the root of the modern separatist movement that emerged in the early 1970's. Intermittent government efforts to integrate Muslims into political and economic society have achieved only limited success to date. (references) | |
Economic History | Estonia | Estonia has made a determined effort to integrate its economic relations with the West. (references) |
Latvia | One of Latvia's strategic national goals is to integrate into Euro-Atlantic organizations. (references) | |
Canada | The reforms will also help to integrate the US and Canadian electricity markets more closely. (references) | |
Human Rights | Guatemala | Staff of the former National Police (PN) who wish to integrate into the new police structure must complete successfully a 3-month retraining course. (references) |
Peru | The Ombudsman also recommended that the Ministry integrate men fully into its family planning program, thereby disseminating reproductive and contraceptive information more equitably across gender boundaries. (references) | |
Indigenous People | New Zealand | The Government addressed the problem of recidivism among Maori through Maori focus units, which integrate Maori values into the prison rehabilitation program. (references) |
Minorities | Czech Republic | Roma who wish to integrate face practical difficulties in the areas of employment and education. (references) |
Austria | In March the Vienna city government announced the creation of a pilot program to integrate immigrants into government-owned housing. (references) | |
Philippines | Historically they have been alienated from the dominant Christian majority, and government efforts to integrate Muslims into the political and economic fabric of the country have met with only limited success. (references) | |
Political Economy | Vietnam | Vietnam continues efforts to integrate itself into the region and the world. (references) |
Latvia | The United States continues to actively assist and support Latvia's desire to fully integrate itself in the Euro-Atlantic community. (references) | |
UNITED KINGDOM | As the European Union (EU) continues to integrate, instances of friction have arisen between the UK and other member states due to the UK's more flexible economic environment. (references) | |
Trade | Haiti | Haiti has until the year 2006 to get into the FTAA and has negotiated a ten-year period as a Less Developed Country to fully integrate into CARICOM. (references) |
Qatar | The GCC member states have yet to integrate matters such as external tariffs, standardization of investment and industrial rules and facilitation of inter-Gulf travel. (references) | |
India | Measures initiated by the Reserve Bank to integrate the Indian foreign exchange market with the global financial system include: permitting banks to fix their own position limit and aggregate gap limits; to borrow from and invest abroad up to 15 percent of tier I capital; and to arrange hedge risks for corporate clients through derivative instruments. (references) | |
Women | Samoa | In order to integrate women into the economic mainstream, the Government sponsors literacy programs and training programs for those not completing high school. (references) |
Hong Kong | The Hong Kong Federation of Women's Centres asked the Government to prepare a comprehensive services plan especially for women from the mainland, with counseling and job-training to help them integrate. (references) | |
Bulgaria | No special government programs seek to address economic discrimination or integrate women better into the mainstream of society and the economy, although much NGO activity is focused on these activities. (references) | |
Worker Rights | Benin | Also in August, the city of Cotonou hosted a subregional conference of West African police chiefs to discuss their broad array of trafficking cases, including women and children, and to explore ways to better integrate their enforcement and interdiction efforts. (references) |
Source: compiled by the editor from ICON Group International, Inc.; see credits. | ||
| Speaker | Term | Phrase(s) |
Jimmy Carter | 1977-1981 | We must continue to integrate both modes of collection in our analyses. |
Source: compiled by the editor from various references. | ||
| "Integrate" is generally used as a lexical verb (infinitive) -- approximately 82.85% of the time. "Integrate" is used about 728 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 |
| Lexical Verb (infinitive) | 82.85% | 603 | 10,628 |
| Lexical Verb (base form) | 11.52% | 84 | 36,109 |
| Adjective (general or positive) | 3.43% | 25 | 69,787 |
| Noun (singular) | 1.65% | 12 | 101,599 |
| Noun (proper) | 0.55% | 4 | 175,879 |
| Total | 100.00% | 728 | N/A |
Source: compiled by the editor from several corpora; see credits.
| Hypenated Usage | |
Ending with "integrate": anxious-to-integrate, pre-integrate, re-integrate. | |
| 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. |
| Language | Translations for "integrate"; alternative meanings/domain in parentheses. | |
Albanian | përbërës (component, composing, compound, constituent, fixings, ingredient, integral, multiple, multiplex, principle), njësoj, harmonizoj (attune, harmonize, match), bashkoj (add together, ally, amalgamate, band together, close up, combine, compound, conglomerate, conjoin, conjugate, connect, consolidate, couple, fuse, fuze, glue, hook up, inosculate, interlock, join, joint, knit, link, merge, piece, piece together, pool, solder, splice, unify, unite, weld). (various references) | |
Arabic | كامل (absolute, all out, complete, completed, concluded, consummate, entire, essential, finalized, finished, full, full blown, full scale, integral, out and out, outright, perfect, plenary, plumb, rounded off, stark, thorough, thoroughgoing, total, unqualified, utter, whole), وحد (combine, confederate, conjugate, consolidate, graft, knit, marry, pool, unify, unite), جرى عملية التكامل, إندمج (amalgamate, coalesce, consolidate, incorporate, merge, mesh, slot), إتحد (associate, band together, cohere, get together, incorporate, join, make a bee-line for a place, marry, meet, merge), دمج (amalgamate, amalgamation, blend, combination, combine, conjunction, consolidate, dovetailing, embody, fuse, fuze, incorporation, integration, interlace, merge). (various references) | |
Bulgarian | съставям цяло, съставен (built up, complex, component, composite, compositive, constituent, constitutive, elemental), сложен (aggregate, complex, complicated, compound, convoluted, daedalian, elaborate, intricate, knotty, multiplex, perplexed, perplexing, sinuous, subtle, tangly, tricky), цялостен (across the board, all around, all out, complete, intact, integral, mass, organic, overall, radical, teetotal, thorough, total, whole), цял (cool, entire, full, good, intact, integral, livelong, overall, perfect, regular, right, round, sheer, solid, thorough, thoroughgoing, thorough-paced, total, unabridged, unbroken, undivided, whole), обединявам в, определям средната стойност, определям общата сума, пълен (absolute, alive, all out, ample, beefy, clear, compendious, complete, corpulent, dead, entire, exhaustive, explicit, fat, fleshy, fraught, full, grand, implicit, intact, integral, lousy, murky, out and out, outright, overall, overblown, perfect, plenary, portly, profound, pursy, radical, rank, replenished, replete, riddle, right, round, sheer, stark, stout, substantial, teetotal, thoroughgoing, thorough-paced, total, unabbreviated, universal, unmitigated, unqualified, unreserved, utter, vast, very, well fed, whole, whole-footed, whole-hog), интегрирам. (various references) | |
Chinese | 集成 (integrated, integrating). (various references) | |
Czech | integrovat, vèlenit, spojit se (ally, get together, join together). (various references) | |
Dutch | filter voor integratie en ontlading (integrate-and-dump filter), detectie door integratie en ontlading (integrate and dump detection). (various references) | |
Farsi | یکی کردن (Consolidate, Identify, Incorporate, Merge, Unify, Unite), کامل کردن (Complement, Complete, Round), تمام کردن (Attain, End, Exhaust, Forth, Process), تابعه اولیه چیزی راگرفتن , اختلاط (Brew, Conglomerate, Medley, Mix, Mixture, Welter), درست کردن (Adapt, Address, Agree, Build, Clean, Compose, Concoct, Devise, Emend, Fix, Gully, Make, Mend, Organize, Redd, Regulate, Right, Straighten, Trim, Weave). (various references) | |
Finnish | yhdentää. (various references) | |
French | intégrons, intégrez, intégrer (get in, include, incorporate, intergrate), intégrent, s'intégrer, faire intégrer. (various references) | |
German | integrieren (assimilate, incorporate, to assimilate, to integrate). (various references) | |
Greek | ενοποιώ (consolidate, unify, unite), ολοκληρώνω (accomplish, complete, consummate, top off), ολοκληρώ. (various references) | |
Hebrew | למזג (blend, incorporate, merge, mix, temper), לשלב (combine, dovetail, interlace, mesh, work in), להתמזג (blend, coalesce, harmonize, incorporate, merge, mingle, mix), להשתלב (dovetail, mesh), להקלט (be absorbed, strike roots). (various references) | |
Hungarian | integrál (integral, intern, to integrate), teljes (absolute, absorbing, all-out, at full speed, bag of tricks, clear, complement, complete, consummate, crass, entire, exhaustive, fore-and-aft, full statement, full-blood, global, gross, integrated, out and out, perfect, plenary, Plumb, pukka, regular, restitution of all things, right-down, round, setout, to come in for one's full share of sg, to pelt, to the full, to the top of one's bent, to transmogrify, total, undivided, utter, very, whole), koordinál (coordinate, to coordinate, to co-ordinate, to integrate), kiegészít (amend, complement, complete, eke out, fill out, implement, make up, piece out, supplement, to amend, to augment, to complement, to eke out, to expand, to integrate, to make up, to piece out, to piece together, to refill, to replenish, to supplement), egyesít (adjoin, associated, combine, incorporate, join, join up, rejoin, to accrete, to affiliate, to ally, to club, to confederate, to consolidate, to incorporate, to join, to knit, to meld, to merge, to rejoin, to unite, to wed, unify, unionize, unite), egész (all, clear, complete, entire, fairly, have the dithers, I just told him, integral, it doesn't matter a bit, it doesn't matter in the least, livelong, overall, plumb, some, the lot, total, whole), összegez (summarize, synthesize, to foot up, to sum, to summarize, to total, total, totalize). (various references) | |
Indonesian | menggabungkan (bale, band, conquer, consolidate, fuse, unite), memadukan. (various references) | |
Italian | integrarsi (to amalgamate), integrare (add, complete, intergrate, recruit, replenish, supplement), incorporare (annex, embody, incorporate, merge), unire (add, ally, associate, attach, combine, come together, connect, interlock, join, join up, joint, knit, link, merge, mix, piece, unite), completare (accomplish, complete, consummate, eke, finish, mature, supplement). (various references) | |
Japanese Kanji | インダス文明 (egghead, inch, India paper, Indian, Indian jewellry, Indian summer, Indiana, Indianapolis 500-mile race, Induscivilization, integer, integrated, integration, Intel, intellectual, intelligence, intelligence service, intelligence test, intelligent, intelligent building, intelligent city, intelligent terminal, intelligentsia, Intelsat, intensity, intensive, intentional, interactive, interior, interior adviser, interior coordinator, interior craft, interior design, interior designer, interline leads, International Telecommunications Satellite Organization, Inturist, pornographic videos). (various references) | |
Japanese Katakana | インテグレート . (various references) | |
Korean | 통합하십시요 (incorporate). (various references) | |
Manx | ym-lanaghey, mestey stiagh (integration). (various references) | |
Norwegian | integrere. (various references) | |
Pig Latin | integrateay.(various references) | |
Portuguese | inteiro (all, complete, entire, full, global, gross, integer, livelong, round, total, unbroken, undivided, whole, wholesome), integrar (compose, instate), integral (integral, unabridged, whole), determinar a integral de, completar (accomplish, cap, complement, complete, fill, fill in, fill up, finish off, fulfil, fulfill, implement, piece, round, supplement), combinar num todo, íntegro (clean-fingered, just, straightaway, straightforward, uprightly). (various references) | |
Romanian | integral (integral, whole), integra (incorporate), reuni (aggregate, combine, convene, gather, muster, re-collect, rejoin, reunite, unite), compus (composite, compound, integral, multiple), component (component, composing, compound, constituent, constitutive, elemental, integrant), alcãtui (compile, compose, constitute, construct, create, devise, elaborate, form, frame, lay down, organize), îngloba (cover, sphere). (various references) | |
Russian | составлять целое, внедрять;интегрировать, полный (absolute, abysmal, all out, complete, corpulent, crowded, entire, exhaustive, floor-to-floor, flush, fraught, fubsy, full, full-bodied, full-length, implicit, in flesh, in the flesh, out and out, outright, overall, plenary, plug-to-plug, plum, portly, rotund, round, seamless, teetotal, thorough, total, unabbreviated, unabridged, uncut, utter), интегрировать (desegregate). (various references) | |
Serbo-Croatian | izračunati (calculate, figure, figure out, reckon), integrisati (merge), integraliti, ukinuti segregaciju. (various references) | |
Spanish | integrar (form, total). (various references) | |
Swedish | integrera (incorporate). (various references) | |
Thai | ผสมผสาน. (various references) | |
Turkish | integralini almak, ilave etmek (add, annex, eke out, inset, put in, schedule, slap on, subjoin, supplement), tamamlamak (bring to completion, button up, catch up on, clear up, complement, complete, consummate, do, eke out, finalize, finish, fulfil, fulfill, go through with, implement, perfect, round off, round out, serve out, supplement, take up, work off, work up), kaynaştırmak (combine, commingle, conglutinate, fuse), katmak (add, adjoin, affiliate, ally, annex, append, include, incorporate, inosculate, interpolate, join, load, mingle, mix, number, put in, run in, superadd, tack, tinge, weave), birleştirmek (aggregate, ally, amalgamate, assemble, associate, colligate, combine, compound, confederate, congregate, conjoin, connect, consolidate, consubstantiate, couple, dovetail, federate, fuze, incorporate, inosculate, interconnect, interlink, join, joint, knit together, knit up, link up, match, mediatize, patch up, piece, piece together, pool, put to, put together, reunite, stick together, tack, tag, unify, unite, wed to), bütünlemek (complete). (various references) | |
Ukrainian | суцільний (continuous, entire, one piece, pieceless, solid), інтегрувати, об'єднувати в єдине ціле, завершувати (accomplish, cap, carry out, close, conclude, consummate, finish off, fulfil, perfect, round, ultimate, wind up). (various references) | |
| Source: compiled by the editor from various translation references. | ||
Derivations | |
Words beginning with "integrate": integrated, integrates. (additional references) | |
Words ending with "integrate": disintegrate, photodisintegrate, redintegrate, reintegrate. (additional references) | |
Words containing "integrate": disintegrated, disintegrates, nonintegrated, photodisintegrated, photodisintegrates, redintegrated, redintegrates, reintegrated, reintegrates, unintegrated. (additional references) | |
| |
"Integrate" is suggested in spellcheckers for the following: antegrade, inerate, integra, integrade, integrae, integrare, integrater, integraty, interate, intergate, Intergift, intergrate, interrate, interrater, intigate, intigrate, intirgate. (additional references) | |
| Source: compiled by the editor, based on several corpora (additional references). | |
| # of Phoneme Matches | Pronunciation | Word(s) rhyming with "integrate" (pronounced i"ntugrā't or i"nugrā't) |
| 8 | i" n t u g r ā' t | disintegrate, reintegrate. |
| 5 | -u g r ā' t | immigrate, emigrate. |
| 4 | -g r ā' t | denigrate, migrate. |
| 3 | -r ā' t | airfreight, arbitrate, administrate, aspirate, birthrate, calibrate, carbohydrate, castrate, celebrate, concentrate, consecrate, illustrate, demonstrate, frustrate, gyrate, hydrate, infiltrate, magistrate, narrate, nitrate, orchestrate, penetrate, perpetrate, serrate, substrate, vertebrate. |
| 5 | -u g r ā' t | immigrate, disintegrate, emigrate, reintegrate. |
| 4 | -g r ā' t | denigrate, migrate. |
| 3 | -r ā' t | airfreight, arbitrate, administrate, aspirate, birthrate, calibrate, carbohydrate, castrate, celebrate, concentrate, consecrate, illustrate, demonstrate, frustrate, gyrate, hydrate, infiltrate, magistrate, narrate, nitrate, orchestrate, penetrate, perpetrate, serrate, substrate, vertebrate. |
Source: compiled by the editor (additional references); see credits. | ||
Scrabble® Enable2K-Verified Anagrams | |
Direct Anagrams: argentite. | |
| Words within the letters "a-e-e-g-i-n-r-t-t" | |
-1 letter: aigrette, gnattier, gratinee, interage, treating. | |
-2 letters: arenite, ariette, entreat, gittern, granite, grantee, gratine, greaten, ingrate, integer, intreat, iterant, iterate, nattier, negater, nettier, nitrate, ratteen, ratting, reagent, reginae, retinae, retting, tangier, tarting, tearing, tentage, tentier, tergite, ternate, tertian, trainee, treeing. | |
-3 letters: aigret, argent, attire, earing, eating, engirt, enrage, entera, entire, ergate, gainer, gaiter, garnet. | |
| Words containing the letters "a-e-e-g-i-n-r-t-t" | |
+1 letter: argentites, entreating, estreating, integrated, integrates, interstage, retreating. | |
+2 letters: anteverting, attempering, betattering, deuterating, integrative, interrogate, penetrating, pretreating, reintegrate, reiterating, renegotiate, retargeting, teratogenic, threatening, vinaigrette. | |
+3 letters: antiestrogen, bespattering, disintegrate, entertaining, entreatingly, exenterating, intenerating, intergrafted, interrogated, interrogatee, interrogates, intertillage, overtreating, perpetrating, perpetuating, reattempting, redintegrate, reestimating, reintegrated, reintegrates, renegotiated, renegotiates, repatterning, revegetating, revegetation, straightened, straightener, theatergoing, unintegrated, vinaigrettes. | |
| 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. | |
| 1. Definition 2. Synonyms 3. Crosswords 4. Usage: Modern | 5. Usage: Commercial 6. Images: Digital Art 7. Quotations: Non-fiction 8. Quotations: Speeches | 9. Usage Frequency 10. Expressions 11. Expressions: Internet 12. Translations: Modern | 13. Derivations 14. Rhymes 15. Anagrams 16. Bibliography |
Copyright © Philip M. Parker, INSEAD. Terms of Use.
