OpenLLM-France/wikimedia huggingface dataset:
# interpolait
## French
### Pronunciation

* Homophones: interpolaient, interpolais

### Verb

interpolait
* third-person singular imperfect indicative of interpoler
# Sujuão
## Portuguese
### Pronunciation

* (Brazil) IPA: /su.ʒuˈɐ̃w̃/ [su.ʒʊˈɐ̃ʊ̯̃], (faster pronunciation) /suˈʒwɐ̃w̃/ [suˈʒwɐ̃ʊ̯̃]
* (Portugal) IPA: /suˈʒwɐ̃w̃/

### Proper noun

Sujuão m
* Alternative form of Sichuan

#### Derived terms

* gaio-de-sujuão (“Sichuan jay”)
# agraciando
## Portuguese
### Verb

agraciando
* gerund of agraciar

## Spanish
### Pronunciation

* IPA: (Spain) /aɡɾaˈθjando/ [a.ɣ̞ɾaˈθjãn̪.d̪o]
* IPA: (Latin America, Philippines) /aɡɾaˈsjando/ [a.ɣ̞ɾaˈsjãn̪.d̪o]
* Rhymes: -ando
* Syllabification: a‧gra‧cian‧do

### Verb

agraciando
* gerund of agraciar
# huitrière
## French
### Pronunciation

* IPA: /ɥi.tʁi.jɛʁ/

### Adjective

huitrière
* feminine singular of huitrier
# fusão
## Portuguese
### Etymology

Borrowed from Latin fūsiōnem.

### Pronunciation

* (Brazil) IPA: /fuˈzɐ̃w̃/ [fuˈzɐ̃ʊ̯̃]
* (Portugal) IPA: /fuˈzɐ̃w̃/
* Rhymes: -ɐ̃w̃
* Hyphenation: fu‧são

### Noun

fusão f (plural fusões)
* merger
* (nuclear physics) fusion
* liquefaction

#### Related terms

* fundir
# Patissier
## German
### Etymology

Borrowed from French pâtissier.

### Pronunciation

* IPA: [patiˈsi̯eː]
* Rhymes: -eː
* Hyphenation: Pa‧tis‧si‧er

### Noun

Patissier m (strong, genitive Patissiers, plural Patissiers, feminine Patissière)
* patissier, pastry chef
    Synonyms: Feinbäcker, Konditor, (Southern Germany, Austria) Zuckerbäcker

#### Related terms

* Patisserie

### Further reading

* “Patissier” in Duden online
* “Patissier” in Digitales Wörterbuch der deutschen Sprache
* “Patissier” in Uni Leipzig: Wortschatz-Lexikon
# Landstrichs
## German
### Pronunciation

* Audio:(file)

### Noun

Landstrichs
* genitive singular of Landstrich
# abortiveres
## German
### Adjective

abortiveres
* strong/mixed nominative/accusative neuter singular comparative degree of abortiv
# Panicoideae
## Translingual
### Etymology

Panicum +‎ -oideae

### Proper noun

Panicoideae
* A taxonomic subfamily within the family Poaceae – very many grasses.

#### Hypernyms

* (subfamily): Eukaryota – superkingdom; Plantae – kingdom; Viridiplantae – subkingdom; Streptophyta – infrakingdom; Embryophyta – superphylum; Tracheophyta – phylum; Spermatophytina – subphylum; angiosperms, monocots, commelinids - clades; Poales - order; Poaceae - family; PACMAD clade - clade

#### Hyponyms

* (subfamily): Andropogoneae, Arundinelleae, Gynerieae, Hubbardieae, Isachneae, Paniceae, Steyermarkochloeae - tribes

### References

* Panicoideae on Wikipedia.Wikipedia
* Panicoideae on Wikispecies.Wikispecies
* Category:Panicoideae on Wikimedia Commons.Wikimedia Commons
# Tatvan
## Turkish
### Etymology

From Armenian Դատվան (Datvan)

### Proper noun

Tatvan
* A town and district in Bitlis province, Turkey

#### Derived terms

* Tatvanlı

### Further reading

* Nişanyan, Sevan (2010–) “Tatvan”, in Nişanyan Yeradları: Türkiye ve Çevre Ülkeler Yerleşim Birimleri Envanteri [Index Anatolicus: An inventory of place names of Turkey and surrounding countries] (in Turkish)
# apropiaria
## Catalan
### Verb

apropiaria
* first/third-person singular conditional of apropiar
# Spielzeugverkäuferin
## German
### Etymology

Spielzeug (“toy”) +‎ Verkäufer (“seller”) +‎ -in

### Noun

Spielzeugverkäuferin f (genitive Spielzeugverkäuferin, plural Spielzeugverkäuferinnen, masculine Spielzeugverkäufer)
* female equivalent of Spielzeugverkäufer: female toyseller
# huitsin nevada
## Finnish
### Noun

huitsin nevada
* Alternative letter-case form of Huitsin Nevada.

#### Usage notes

* Often used with jokin or mikään.

#### Declension

Possessive forms of huitsin nevada (Kotus type 12/kulkija, no gradation) :
# Patino
## English
### Etymology

Anglicization of Spanish Patiño, Hispanicization of Portuguese Patinho, from patinho

### Proper noun

Patino (plural Patinos)
* A surname from Spanish.

#### Statistics

* According to the 2010 United States Census, Patino is the 1705th most common surname in the United States, belonging to 21113 individuals. Patino is most common among Hispanic/Latino (92.21%) individuals.
# Landstrekenwijk
## Dutch
### Etymology

Compound of the plural form of landstreek (“region”) and wijk (“neighbourhood, quarter”). The street names in the neighbourhood reference various regions of the Netherlands.

### Pronunciation

* IPA: /ˈlɑnt.streː.kə(n)ˌʋɛi̯k/
* Hyphenation: Land‧stre‧ken‧wijk

### Proper noun

Landstrekenwijk n
* A neighbourhood of Lelystad, Flevoland, Netherlands
# abortiveren
## German
### Adjective

abortiveren
* inflection of abortiv:
** strong genitive masculine/neuter singular comparative degree
** weak/mixed genitive/dative all-gender singular comparative degree
** strong/weak/mixed accusative masculine singular comparative degree
** strong dative plural comparative degree
** weak/mixed all-case plural comparative degree
# Panicos
## English
### Proper noun

Panicos
* plural of Panico
# Tam quốc diễn nghĩa
## Vietnamese
### Etymology

Sino-Vietnamese word from 三國演義 (“The Romance of the Three Kingdoms”).

### Pronunciation

* (Hà Nội) IPA: [taːm˧˧ kuək̚˧˦ ziən˦ˀ˥ ŋiə˦ˀ˥]
* (Huế) IPA: [taːm˧˧ kuək̚˦˧˥ jiəŋ˧˨ ŋiə˧˨]
* (Saigon) IPA: [taːm˧˧ wək̚˦˥ jiəŋ˨˩˦ ŋiə˨˩˦]

### Proper noun

Tam quốc diễn nghĩa • (三國演義)
* (literature) The Romance of the Three Kingdoms, one of China's Four Great Classical Novels
# apropiarle
## Spanish
### Verb

apropiarle
* infinitive of apropiar combined with le
# beathadach
## Scottish Gaelic
### Noun

beathadach m (genitive and plural beathadaich)
* beaver

#### Synonyms

* biobhair
* los-leathann
# Arabidopsis
## Translingual
### Etymology

Arabis +‎ -opsis

### Proper noun

Arabidopsis f
* A taxonomic genus within the family Brassicaceae – thale cress and related mustard plants.

#### Synonyms

* (genus): Cardaminopsis

#### Hypernyms

* (genus): Eukaryota – superkingdom; Plantae – kingdom; Viridiplantae – subkingdom; Streptophyta – infrakingdom; Embryophyta – superphylum; Tracheophyta – phylum; Spermatophytina – subphylum; angiosperms, eudicots, core eudicots, rosids, malvids - clades; Brassicales - order; Brassicaceae - family; Camelineae - tribe

#### Hyponyms

* (genus): Arabidopsis thaliana (mouse-ear cress, thale cress) - type species (the first higher plant whose complete genome sequence was described); for other species see Arabidopsis on Wikispecies.Wikispecies

#### Derived terms

* Olimarabidopsis
* Pseudoarabidopsis

### References

* Arabidopsis on Wikipedia.Wikipedia
* Arabidopsis on Wikispecies.Wikispecies
* Arabidopsis on Wikimedia Commons.Wikimedia Commons
* Arabidopsis at USDA Plants database
* Arabidopsis at Integrated Taxonomic Information System.
* Arabidopsis at the Catalogue of Life
* Arabidopsis at National Center for Biotechnology Information
* Arabidopsis at The Plant List
* Arabidopsis at Brassibase
# Patissiers
## German
### Noun

Patissiers
* inflection of Patissier:
** nominative/genitive/dative/accusative plural
** genitive singular
# adsolato
## Latin
### Verb

adsolātō
* second/third-person singular future active imperative of adsolō
# Bajgar
## Czech
### Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

### Pronunciation

* IPA: [ˈbajɡar]

### Proper noun

Bajgar m anim (female equivalent Bajgarová)
* a male surname

#### Declension
### Further reading

* “Bajgar”, in Příjmení.cz (in Czech)
# Panico
## English
### Proper noun

Panico (plural Panicos)
* A surname.

#### Statistics

* According to the 2010 United States Census, Panico is the 18401st most common surname in the United States, belonging to 1505 individuals. Panico is most common among White (94.55%) individuals.

### Anagrams

* Pacino, opanci
# hard put
## English
### Adjective

hard put (comparative harder put, superlative hardest put)
* In a situation that is difficult to resolve.
    I know what that word means, but would be hard put to define it.
    hard put to it: in great perplexity or difficulty; at a loss.

#### Usage notes

* Always followed by a verb in the infinitive, describing the thing that is difficult to do.
# inlustris
## Latin
### Pronunciation

* (Classical Latin) IPA: /inˈluːs.tris/, [ɪnˈɫ̪uːs̠t̪rɪs̠]
* (modern Italianate Ecclesiastical) IPA: /inˈlus.tris/, [inˈlust̪ris]

### Adjective

inlūstris (neuter inlūstre, comparative inlūstrior); third-declension two-termination adjective
* Alternative form of illūstris

#### Declension

Third-declension two-termination adjective.

### References

* “inlustris”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
# kleinkalibrig
## German
### Etymology

klein (“small”) +‎ Kaliber (“caliber”) +‎ -ig

### Pronunciation

* IPA: /ˈklaɪ̯nkaˌliːbʁɪç/ (standard)
* IPA: /-ˌliːbʁɪk/ (common form in southern Germany, Austria, and Switzerland)
* Audio:(file)
* Hyphenation: klein‧ka‧li‧b‧rig

### Adjective

kleinkalibrig (strong nominative masculine singular kleinkalibriger, comparative kleinkalibriger, superlative am kleinkalibrigsten)
* small-caliber
    Synonym: kleinkaliberig
    Antonyms: großkalibrig, großkaliberig

#### Declension
### Further reading

* “kleinkalibrig” in Duden online
# Arzadon
## Tagalog
### Etymology

Localized variant of Spanish Arzadun, of Basque origin.

### Pronunciation

* (Standard Tagalog) IPA: /ʔaɾzaˈdon/ [ʔɐɾ.zɐˈd̪on̪]
** IPA: (more native-sounding) /ʔaɾsaˈdon/ [ʔɐɾ.sɐˈd̪on̪]
* Rhymes: -on
* Syllabification: Ar‧za‧don

### Proper noun

Arzadón (Baybayin spelling ᜀᜇ᜔ᜐᜇᜓᜈ᜔)
* a surname from Spanish [in turn from Basque]

#### Statistics

* According to data collected by Forebears in 2014, Arzadon is the 2,168th most common surname in the Philippines, occurring in 5,413 individuals.
# arre carallo
## Galician
### Etymology

Blend of arre demo +‎ carallo.

### Pronunciation

* IPA: /ˈare kɑˈɾaʎʊ/

### Interjection

arre carallo
* (idiomatic, vulgar) holy shit (expression of surprise)
    Synonym: arre demo

#### Related terms

* arre
* carallo

### References

* Antón Luís Santamarina Fernández, editor (2006–2013), “carallo”, in Dicionario de Dicionarios da lingua galega [Dictionary of Dictionaries of the Galician language] (in Galician), Santiago de Compostela: Instituto da Lingua Galega
* Antón Luís Santamarina Fernández, Ernesto Xosé González Seoane, María Álvarez de la Granja, editors (2003–2018), “arre carallo”, in Tesouro informatizado da lingua galega (in Galician), Santiago de Compostela: Instituto da Lingua Galega
* Rosario Álvarez Blanco, editor (2014–2024), “arre carallo”, in Tesouro do léxico patrimonial galego e portugués (in Galician), Santiago de Compostela: Instituto da Lingua Galega, →ISSN
# Goldschopfpinguinen
## German
### Pronunciation

* Audio:(file)

### Noun

Goldschopfpinguinen m
* dative plural of Goldschopfpinguin
# Fernán
## Spanish
### Etymology

See Fernando.

### Pronunciation

* IPA: /feɾˈnan/ [feɾˈnãn]
* Rhymes: -an
* Syllabification: Fer‧nán

### Proper noun

Fernán m
* a male given name

#### Related terms

* male variants: Fernando, Ferrando
# eosines
## English
### Noun

eosines
* plural of eosine

### Anagrams

* onesies
# Kirgizija
## Lithuanian
### Proper noun

Kirgizija
* Kyrgyzstan (a country in Central Asia, bordering on Kazakhstan, Uzbekistan, Tajikistan and China)
# agisms
## English
### Noun

agisms
* plural of agism

### Anagrams

* sigmas
# kleinkarierter
## German
### Pronunciation

* Audio:(file)

### Adjective

kleinkarierter
* comparative degree of kleinkariert

### Adjective

kleinkarierter
* inflection of kleinkariert:
** strong/mixed nominative masculine singular
** strong genitive/dative feminine singular
** strong genitive plural
# exinaniturorum
## Latin
### Participle

exinānītūrōrum
* genitive masculine/neuter plural of exinānītūrus
# arreaba
## Spanish
### Verb

arreaba
* first/third-person singular imperfect indicative of arrear
# Goldschopfpinguins
## German
### Pronunciation

* Audio:(file)

### Noun

Goldschopfpinguins
* genitive singular of Goldschopfpinguin
# adsperguntur
## Latin
### Verb

adsperguntur
* third-person plural present passive indicative of adspergō
# eosinates
## English
### Noun

eosinates
* plural of eosinate

### Anagrams

* Toisanese
# arqueólogos
## Asturian
### Noun

arqueólogos
* plural of arqueólogu

## Galician
### Noun

arqueólogos
* plural of arqueólogo

## Portuguese
### Noun

arqueólogos
* plural of arqueólogo

## Spanish
### Noun

arqueólogos m pl
* plural of arqueólogo
# arawana
## English
### Noun

arawana (plural arawanas)
* Alternative form of arowana (“type of fish”)

## Kari'na
### Pronunciation

* (Venezuela) IPA: [aɺ̢aːβana]
* (West Suriname) IPA: [aɺ̢aːʋana]
* (East Suriname) IPA: [aɺ̢aːwana]

### Noun

arawana
* silver arowana (Osteoglossum bicirrhosum)

### References

* Courtz, Hendrik (2008) A Carib grammar and dictionary‎, Toronto: Magoria Books, →ISBN, page 238
# kleinkariertere
## German
### Pronunciation

* Audio:(file)

### Adjective

kleinkariertere
* inflection of kleinkariert:
** strong/mixed nominative/accusative feminine singular comparative degree
** strong nominative/accusative plural comparative degree
** weak nominative all-gender singular comparative degree
** weak accusative feminine/neuter singular comparative degree
# exosemiotic
## English
### Etymology

From exo- +‎ semiotic.

### Noun

exosemiotic (uncountable)
* Relating to exosemiosis.
# arricciolare
## Italian
### Verb

arricciolàre (first-person singular present arrìcciolo, first-person singular past historic arricciolài, past participle arricciolàto, auxiliary avére)
* (transitive) to curl (the hair)

#### Related terms

* ricciolo

### Anagrams

* arricciolerà
# BoC
## English
### Proper noun

BoC
* Initialism of Bank of Canada.

#### Alternative forms

* (Bank of Canada): BOC

### Anagrams

* CBO, COB, OBC, OCB, cob
# adroganter
## Latin
### Adverb

adroganter (comparative adrogantius, superlative adrogantissimē)
* Alternative form of arroganter

### References

* “adroganter”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
# handpop
## Dutch
### Etymology

Compound of hand +‎ pop.

### Pronunciation

* IPA: /ˈɦɑnt.pɔp/
* Audio:(file)
* Hyphenation: hand‧pop

### Noun

handpop f (plural handpoppen, diminutive handpopje n or handpoppetje n)
* a hand puppet, a glove puppet
# interscripsissem
## Latin
### Verb

interscrīpsissem
* first-person singular pluperfect active subjunctive of interscrībō
# Hyseberht
## Old English
### Etymology

From hyse (“warrior, young man”) +‎ berht (“bright, shiny”).

### Pronunciation

* IPA: /ˈxy.seˌberxt/, [ˈhy.zeˌberˠxt]

### Proper noun

Hyseberht m
* a male given name

### References

* Electronic Sawyer S 1431b (Decree of a council of Clofesho concerning the lordship of minsters), Hyseberht is mentioned as "Hyseberht" in the text section and the old text section.
# kleinkarierteren
## German
### Pronunciation

* Audio:(file)

### Adjective

kleinkarierteren
* inflection of kleinkariert:
** strong genitive masculine/neuter singular comparative degree
** weak/mixed genitive/dative all-gender singular comparative degree
** strong/weak/mixed accusative masculine singular comparative degree
** strong dative plural comparative degree
** weak/mixed all-case plural comparative degree
# Beaconites
## English
### Noun

Beaconites
* plural of Beaconite
# intricassent
## Latin
### Verb

intrīcāssent
* third-person plural pluperfect active subjunctive of intrīcō
# Bo.
## Tagalog
### Noun

Bo. (Baybayin spelling ᜊᜇ᜔ᜌᜓ)
* Abbreviation of baryo (“barrio”).
# Falco concolor
## Translingual

Wikispecies

### Proper noun

Falco concolor m
* A taxonomic species within the family Falconidae – the sooty falcon.

### References

* Gill, F. and Wright, M. (2006) Birds of the World: Recommended English Names, Princeton University Press, →ISBN
# epidemian
## Finnish
### Noun

epidemian
* genitive singular of epidemia
# interscripsero
## Latin
### Verb

interscrīpserō
* first-person singular future perfect active indicative of interscrībō
# Hysell
## English
### Proper noun

Hysell (plural Hysells)
* A surname.

#### Statistics

* According to the 2010 United States Census, Hysell is the 16012nd most common surname in the United States, belonging to 1813 individuals. Hysell is most common among White (95.26%) individuals.

### Anagrams

* Shelly, shelly
# fumegárais
## Galician
### Verb

fumegárais
* (reintegrationist norm, less recommended) second-person plural pluperfect indicative of fumegar
# Beaconsfield
## English
### Pronunciation

* IPA: /ˈbɛkənzˌfiːld/, /ˈbiːkənzˌfiːld/
* Audio (UK):(file)

### Proper noun

Beaconsfield
* A market town and civil parish with a town council in Buckinghamshire, England, previously in South Bucks district (OS grid ref SU9391).
* A suburb of Melbourne, in the City of Casey and Shire of Cardinia, Victoria, Australia.

### References

* ↑ Jespersen, Otto (1909) A Modern English Grammar on Historical Principles (Sammlung germanischer Elementar- und Handbücher; 9)‎, volumes I: Sounds and Spellings, London: George Allen & Unwin, published 1961, § 4.35, page 124.
* ↑ Parish map (England)
# intricaste
## Galician
### Verb

intricaste
* (reintegrationist norm) second-person singular preterite indicative of intricar

## Italian
### Verb

intricaste
* inflection of intricare:
** second-person plural past historic
** second-person plural imperfect subjunctive

### Anagrams

* intestarci, recintasti, trinciaste

## Portuguese
### Verb

intricaste
* second-person singular preterite indicative of intricar

## Spanish
### Verb

intricaste
* second-person singular preterite indicative of intricar
# Gollnick
## English
### Etymology

Borrowed from German Gollnick.

### Proper noun

Gollnick (plural Gollnicks)
* A surname from German.

#### Statistics

* According to the 2010 United States Census, Gollnick is the 39555th most common surname in the United States, belonging to 556 individuals. Gollnick is most common among White (93.53%) individuals.

### Further reading

* Hanks, Patrick, editor (2003), “Gollnick”, in Dictionary of American Family Names, volume 2, New York: Oxford University Press, →ISBN, page 62.
# incredibilmente
## Italian
### Etymology

From incredibile +‎ -mente.

### Pronunciation

* IPA: /in.kre.di.bilˈmen.te/
* Rhymes: -ente
* Hyphenation: in‧cre‧di‧bil‧mén‧te

### Adverb

incredibilmente
* incredibly, unbelievably, fantastically, amazingly
    Synonyms: fantasticamente, favolosamente, indicibilmente, meravigliosamente
# epidemias
## Portuguese
### Pronunciation

* (Brazil) IPA: /e.pi.deˈmi.ɐs/
* (Brazil) IPA: /e.pi.deˈmi.ɐs/
** (Rio de Janeiro) IPA: /e.pi.deˈmi.ɐʃ/
** (Southern Brazil) IPA: /e.pi.deˈmi.as/
* (Portugal) IPA: /e.pi.dɨˈmi.ɐʃ/ [e.pi.ðɨˈmi.ɐʃ], /i.pi.dɨˈmi.ɐʃ/ [i.pi.ðɨˈmi.ɐʃ]
* Hyphenation: e‧pi‧de‧mi‧as

### Noun

epidemias
* plural of epidemia

## Spanish
### Pronunciation

* IPA: /epiˈdemjas/ [e.piˈð̞e.mjas]
* Rhymes: -emjas
* Syllabification: e‧pi‧de‧mias

### Noun

epidemias f pl
* plural of epidemia
# interscripsissent
## Latin
### Verb

interscrīpsissent
* third-person plural pluperfect active subjunctive of interscrībō
# inpingitor
## Latin
### Verb

inpingitor
* second/third-person singular future passive imperative of inpingō
# fumegámos
## Portuguese
### Verb

fumegámos
* (European Portuguese spelling) first-person plural preterite indicative of fumegar
# Beadle County
## English
### Etymology

Named after William Henry Harrison Beadle.

### Proper noun

Beadle County
* One of 66 counties in South Dakota, United States. County seat: Huron.

### References

* Index of U.S. counties on Wikipedia.Wikipedia
# alcalinotérreos
## Spanish
### Adjective

alcalinotérreos
* masculine plural of alcalinotérreo
# Gollumed
## English
### Verb

Gollumed
* simple past and past participle of Gollum

### Anagrams

* mogulled
# fiscaleggiarono
## Italian
### Verb

fiscaleggiarono
* third-person plural past historic of fiscaleggiare
# envites
## Spanish
### Noun

envites m pl
* plural of envite
# fullfyllenne
## Old English
### Pronunciation

* IPA: /ˈfull.fyl.len.ne/, [ˈfuɫ.vyɫ.ɫen.ne]

### Verb

fullfyllenne
* inflected infinitive of fullfyllan
# inpingis
## Latin
### Verb

inpingis
* second-person singular present active indicative of inpingō
# Sperner systems
## English
### Noun

Sperner systems
* plural of Sperner system
# alcalinum
## Latin
### Adjective

alcalīnum
* inflection of alcalīnus:
** nominative/accusative/vocative neuter singular
** accusative masculine singular
# abhorreriez
## French
### Verb

abhorreriez
* second-person plural conditional of abhorrer
# Golluming
## English
### Verb

Golluming
* present participle and gerund of Gollum
# fiscaleggiasti
## Italian
### Verb

fiscaleggiasti
* second-person singular past historic of fiscaleggiare
# fullfylleþ
## Old English
### Pronunciation

* IPA: /ˈfull.fyl.leθ/, [ˈfuɫ.vyɫ.ɫeθ]

### Verb

fullfylleþ
* third-person singular present indicative of fullfyllan
# epsilon number
## English
### Etymology

From the Greek letter ε (“epsilon”), used to denote the numbers.

### Noun

epsilon number (plural epsilon numbers)
* (set theory) Any (necessarily transfinite) ordinal number α such that ω$^α$ = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ω$^x$.
** 1977, Herbert B. Enderton, Elements of Set Theory‎, Elsevier (Academic Press), page 240:More generally, the epsilon numbers are the ordinals $\varepsilon$ for which $\varepsilon =\omega ^{\varepsilon }$. The smallest epsilon number is $\varepsilon _{0}$. It is a countable ordinal, being the countable union of countable sets. By the Veblen fixed-point theorem, the class of epsilon numbers is unbounded.
** 1981, The Journal of Symbolic Logic, Association for Symbolic Logic, page 17:We show that the associated ordinals are the $\varepsilon _{0}$th epsilon number and the first $\varepsilon _{0}$-critical number, respectively.
** 2014, Charles C. Pinter, A Book of Set Theory, 2014, Dover, [Revision of 1971 Addison-Wesley edition], page 203,
    Thus there is at least one epsilon number, namely $\varepsilon _{0}$; we can easily show, in fact, that $\varepsilon _{0}$ is the least epsilon number.

#### Usage notes

* The smallest epsilon number, denoted $\varepsilon _{0}$ (read epsilon nought or epsilon zero), is a limit ordinal definable as the supremum of a sequence of smaller limit ordinals: $\varepsilon _{0}=\omega ^{\omega ^{\omega ^{\cdot ^{\cdot ^{\cdot }}}}}=\sup \left\{0,\omega ^{0}=1,\omega ^{1},\omega ^{\omega },\omega ^{\omega ^{\omega }},\omega ^{\omega ^{\omega ^{\omega }}},\dots \right\}$.
** This sequence can be extended recursively: $\varepsilon _{1}=\sup \left\{{\varepsilon _{0}+1},\omega ^{\varepsilon _{0}+1},\omega ^{\omega ^{\varepsilon _{0}+1}},\dots \right\}$, $\varepsilon _{2}=\sup \left\{{\varepsilon _{1}+1},\omega ^{\varepsilon _{1}+1},\omega ^{\omega ^{\varepsilon _{1}+1}},\dots \right\}$, $\varepsilon _{3}=\sup \left\{{\varepsilon _{2}+1},\omega ^{\varepsilon _{2}+1},\omega ^{\omega ^{\varepsilon _{2}+1}},\dots \right\}$, ...
** The recursion is applied transfinitely, thus extending the definition to $\varepsilon _{1},\varepsilon _{2},\ldots ,\varepsilon _{\omega },\varepsilon _{\omega +1},\ldots ,\varepsilon _{\varepsilon _{0}},\ldots ,\varepsilon _{\varepsilon _{1}},\ldots ,\varepsilon _{\varepsilon _{\varepsilon _{\cdot _{\cdot _{\cdot }}}}}$, ...
* $\varepsilon _{0}$ is countable, as is any $\varepsilon _{\alpha }$ for which $\alpha$ is countable.
** Epsilon numbers also exist that are uncountable; the index of any such must itself be an uncountable ordinal.
* When generalised to the surreal number domain, epsilon numbers are no longer required to be ordinals and the index may be any surreal number (including any negative, fraction or limit).

#### Related terms

* delta number
* gamma number

#### Translations
### See also

* epsilon-induction

### Further reading

* Ordinal arithmetic on Wikipedia.Wikipedia
* Additively indecomposable ordinal on Wikipedia.Wikipedia
* Large countable ordinal on Wikipedia.Wikipedia
* Veblen function on Wikipedia.Wikipedia
# Heliumisotops
## German
### Noun

Heliumisotops
* genitive singular of Heliumisotop