hoành độ

[hwajŋ̟˨˩ ʔɗo˧˨ʔ]

[hwɛɲ˦˩ ʔɗow˨˩ʔ]

[wan˨˩ ʔɗow˨˩˨]

Sino-Vietnamese word from 橫 (“horizontal”) and 度 (“degree”)

(algebraic geometry) an x-coordinate; an abscissa


trục hoành

[t͡ɕʊwk͡p̚˧˨ʔ hwajŋ̟˨˩]

[ʈʊwk͡p̚˨˩ʔ hwɛɲ˦˩]

[ʈʊwk͡p̚˨˩˨ wan˨˩]

trục (“axis”) + Chinese 橫／横 (“horizontal”)


toạ độ

[twaː˧˨ʔ ʔɗo˧˨ʔ]

[twaː˨˩ʔ ʔɗow˨˩ʔ]

[t⁽ʷ⁾aː˨˩˨ ʔɗow˨˩˨]

Sino-Vietnamese word from 座 (“to sit”) and 度 (“degree”). Compare Chinese 坐標／坐标 (toạ tiêu), Japanese 座標 (zahyō), Korean 좌표 (jwapyo).

vi-etym-sino

(collective, algebraic geometry, geography) coordinates


デカルト座標

デカルト座標 (canonical)
Dekaruto zahyō (romanization)

From デカルト (Dekaruto, from French Descartes) + 座標 (zahyō, “coordinate”).

af

from French <i class="Latn mention" lang="fr">Descartes</i>

Cartesian coordinates
Cartesian coordinates

(algebraic geometry) Cartesian coordinates


x-suunta

x-suunta (nominative singular)
x-suunnat (nominative plural)
x-suunta (accusative nominative singular)
x-suunnat (accusative nominative plural)
x-suunnan (accusative genitive singular)
x-suunnat (accusative genitive plural)
x-suunnan (genitive singular)
x-suuntien (genitive plural)
x-suuntain (genitive plural rare)
x-suuntaa (partitive singular)
x-suuntia (partitive plural)
x-suunnassa (inessive singular)
x-suunnissa (inessive plural)
x-suunnasta (elative singular)
x-suunnista (elative plural)
x-suuntaan (illative singular)
x-suuntiin (illative plural)
x-suunnalla (adessive singular)
x-suunnilla (adessive plural)
x-suunnalta (ablative singular)
x-suunnilta (ablative plural)
x-suunnalle (allative singular)
x-suunnille (allative plural)
x-suuntana (essive singular)
x-suuntina (essive plural)
x-suunnaksi (singular translative)
x-suunniksi (plural translative)
x-suunnatta (abessive singular)
x-suunnitta (abessive plural)
x-suunnin (instructive plural)
See the possessive forms below. (comitative)
x-suuntani (nominative singular)
x-suuntani (nominative plural)
x-suuntani (accusative nominative singular)
x-suuntani (accusative nominative plural)
x-suuntani (accusative genitive singular)
x-suuntani (accusative genitive plural)
x-suuntani (genitive singular)
x-suuntieni (genitive plural)
x-suuntaini (genitive plural rare)
x-suuntaani (partitive singular)
x-suuntiani (partitive plural)
x-suunnassani (inessive singular)
x-suunnissani (inessive plural)
x-suunnastani (elative singular)
x-suunnistani (elative plural)
x-suuntaani (illative singular)
x-suuntiini (illative plural)
x-suunnallani (adessive singular)
x-suunnillani (adessive plural)
x-suunnaltani (ablative singular)
x-suunniltani (ablative plural)
x-suunnalleni (allative singular)
x-suunnilleni (allative plural)
x-suuntanani (essive singular)
x-suuntinani (essive plural)
x-suunnakseni (singular translative)
x-suunnikseni (plural translative)
x-suunnattani (abessive singular)
x-suunnittani (abessive plural)
x-suuntineni (comitative plural)
x-suuntasi (nominative singular)
x-suuntasi (nominative plural)
x-suuntasi (accusative nominative singular)
x-suuntasi (accusative nominative plural)
x-suuntasi (accusative genitive singular)
x-suuntasi (accusative genitive plural)
x-suuntasi (genitive singular)
x-suuntiesi (genitive plural)
x-suuntaisi (genitive plural rare)
x-suuntaasi (partitive singular)
x-suuntiasi (partitive plural)
x-suunnassasi (inessive singular)
x-suunnissasi (inessive plural)
x-suunnastasi (elative singular)
x-suunnistasi (elative plural)
x-suuntaasi (illative singular)
x-suuntiisi (illative plural)
x-suunnallasi (adessive singular)
x-suunnillasi (adessive plural)
x-suunnaltasi (ablative singular)
x-suunniltasi (ablative plural)
x-suunnallesi (allative singular)
x-suunnillesi (allative plural)
x-suuntanasi (essive singular)
x-suuntinasi (essive plural)
x-suunnaksesi (singular translative)
x-suunniksesi (plural translative)
x-suunnattasi (abessive singular)
x-suunnittasi (abessive plural)
x-suuntinesi (comitative plural)
x-suuntamme (nominative singular)
x-suuntamme (nominative plural)
x-suuntamme (accusative nominative singular)
x-suuntamme (accusative nominative plural)
x-suuntamme (accusative genitive singular)
x-suuntamme (accusative genitive plural)
x-suuntamme (genitive singular)
x-suuntiemme (genitive plural)
x-suuntaimme (genitive plural rare)
x-suuntaamme (partitive singular)
x-suuntiamme (partitive plural)
x-suunnassamme (inessive singular)
x-suunnissamme (inessive plural)
x-suunnastamme (elative singular)
x-suunnistamme (elative plural)
x-suuntaamme (illative singular)
x-suuntiimme (illative plural)
x-suunnallamme (adessive singular)
x-suunnillamme (adessive plural)
x-suunnaltamme (ablative singular)
x-suunniltamme (ablative plural)
x-suunnallemme (allative singular)
x-suunnillemme (allative plural)
x-suuntanamme (essive singular)
x-suuntinamme (essive plural)
x-suunnaksemme (singular translative)
x-suunniksemme (plural translative)
x-suunnattamme (abessive singular)
x-suunnittamme (abessive plural)
x-suuntinemme (comitative plural)
x-suuntanne (nominative singular)
x-suuntanne (nominative plural)
x-suuntanne (accusative nominative singular)
x-suuntanne (accusative nominative plural)
x-suuntanne (accusative genitive singular)
x-suuntanne (accusative genitive plural)
x-suuntanne (genitive singular)
x-suuntienne (genitive plural)
x-suuntainne (genitive plural rare)
x-suuntaanne (partitive singular)
x-suuntianne (partitive plural)
x-suunnassanne (inessive singular)
x-suunnissanne (inessive plural)
x-suunnastanne (elative singular)
x-suunnistanne (elative plural)
x-suuntaanne (illative singular)
x-suuntiinne (illative plural)
x-suunnallanne (adessive singular)
x-suunnillanne (adessive plural)
x-suunnaltanne (ablative singular)
x-suunniltanne (ablative plural)
x-suunnallenne (allative singular)
x-suunnillenne (allative plural)
x-suuntananne (essive singular)
x-suuntinanne (essive plural)
x-suunnaksenne (singular translative)
x-suunniksenne (plural translative)
x-suunnattanne (abessive singular)
x-suunnittanne (abessive plural)
x-suuntinenne (comitative plural)
x-suuntansa (nominative singular)
x-suuntansa (nominative plural)
x-suuntansa (accusative nominative singular)
x-suuntansa (accusative nominative plural)
x-suuntansa (accusative genitive singular)
x-suuntansa (accusative genitive plural)
x-suuntansa (genitive singular)
x-suuntiensa (genitive plural)
x-suuntainsa (genitive plural rare)
x-suuntaansa (partitive singular)
x-suuntiaan (partitive plural)
x-suuntiansa (partitive plural)
x-suunnassaan (inessive singular)
x-suunnassansa (inessive singular)
x-suunnissaan (inessive plural)
x-suunnissansa (inessive plural)
x-suunnastaan (elative singular)
x-suunnastansa (elative singular)
x-suunnistaan (elative plural)
x-suunnistansa (elative plural)
x-suuntaansa (illative singular)
x-suuntiinsa (illative plural)
x-suunnallaan (adessive singular)
x-suunnallansa (adessive singular)
x-suunnillaan (adessive plural)
x-suunnillansa (adessive plural)
x-suunnaltaan (ablative singular)
x-suunnaltansa (ablative singular)
x-suunniltaan (ablative plural)
x-suunniltansa (ablative plural)
x-suunnalleen (allative singular)
x-suunnallensa (allative singular)
x-suunnilleen (allative plural)
x-suunnillensa (allative plural)
x-suuntanaan (essive singular)
x-suuntanansa (essive singular)
x-suuntinaan (essive plural)
x-suuntinansa (essive plural)
x-suunnakseen (singular translative)
x-suunnaksensa (singular translative)
x-suunnikseen (plural translative)
x-suunniksensa (plural translative)
x-suunnattaan (abessive singular)
x-suunnattansa (abessive singular)
x-suunnittaan (abessive plural)
x-suunnittansa (abessive plural)
x-suuntineen (comitative plural)
x-suuntinensa (comitative plural)

[ˈæks̠ˌs̠uːn̪t̪ɑ̝]


varisto

varisto (nominative singular)
varistot (nominative plural)
varisto (accusative nominative singular)
varistot (accusative nominative plural)
variston (accusative genitive singular)
varistot (accusative genitive plural)
variston (genitive singular)
varistojen (genitive plural)
varistoa (partitive singular)
varistoja (partitive plural)
varistossa (inessive singular)
varistoissa (inessive plural)
varistosta (elative singular)
varistoista (elative plural)
varistoon (illative singular)
varistoihin (illative plural)
varistolla (adessive singular)
varistoilla (adessive plural)
varistolta (ablative singular)
varistoilta (ablative plural)
varistolle (allative singular)
varistoille (allative plural)
varistona (essive singular)
varistoina (essive plural)
varistoksi (singular translative)
varistoiksi (plural translative)
varistotta (abessive singular)
varistoitta (abessive plural)
varistoin (instructive plural)
See the possessive forms below. (comitative)
varistoni (nominative singular)
varistoni (nominative plural)
varistoni (accusative nominative singular)
varistoni (accusative nominative plural)
varistoni (accusative genitive singular)
varistoni (accusative genitive plural)
varistoni (genitive singular)
varistojeni (genitive plural)
varistoani (partitive singular)
varistojani (partitive plural)
varistossani (inessive singular)
varistoissani (inessive plural)
varistostani (elative singular)
varistoistani (elative plural)
varistooni (illative singular)
varistoihini (illative plural)
varistollani (adessive singular)
varistoillani (adessive plural)
varistoltani (ablative singular)
varistoiltani (ablative plural)
varistolleni (allative singular)
varistoilleni (allative plural)
varistonani (essive singular)
varistoinani (essive plural)
varistokseni (singular translative)
varistoikseni (plural translative)
varistottani (abessive singular)
varistoittani (abessive plural)
varistoineni (comitative plural)
varistosi (nominative singular)
varistosi (nominative plural)
varistosi (accusative nominative singular)
varistosi (accusative nominative plural)
varistosi (accusative genitive singular)
varistosi (accusative genitive plural)
varistosi (genitive singular)
varistojesi (genitive plural)
varistoasi (partitive singular)
varistojasi (partitive plural)
varistossasi (inessive singular)
varistoissasi (inessive plural)
varistostasi (elative singular)
varistoistasi (elative plural)
varistoosi (illative singular)
varistoihisi (illative plural)
varistollasi (adessive singular)
varistoillasi (adessive plural)
varistoltasi (ablative singular)
varistoiltasi (ablative plural)
varistollesi (allative singular)
varistoillesi (allative plural)
varistonasi (essive singular)
varistoinasi (essive plural)
varistoksesi (singular translative)
varistoiksesi (plural translative)
varistottasi (abessive singular)
varistoittasi (abessive plural)
varistoinesi (comitative plural)
varistomme (nominative singular)
varistomme (nominative plural)
varistomme (accusative nominative singular)
varistomme (accusative nominative plural)
varistomme (accusative genitive singular)
varistomme (accusative genitive plural)
varistomme (genitive singular)
varistojemme (genitive plural)
varistoamme (partitive singular)
varistojamme (partitive plural)
varistossamme (inessive singular)
varistoissamme (inessive plural)
varistostamme (elative singular)
varistoistamme (elative plural)
varistoomme (illative singular)
varistoihimme (illative plural)
varistollamme (adessive singular)
varistoillamme (adessive plural)
varistoltamme (ablative singular)
varistoiltamme (ablative plural)
varistollemme (allative singular)
varistoillemme (allative plural)
varistonamme (essive singular)
varistoinamme (essive plural)
varistoksemme (singular translative)
varistoiksemme (plural translative)
varistottamme (abessive singular)
varistoittamme (abessive plural)
varistoinemme (comitative plural)
varistonne (nominative singular)
varistonne (nominative plural)
varistonne (accusative nominative singular)
varistonne (accusative nominative plural)
varistonne (accusative genitive singular)
varistonne (accusative genitive plural)
varistonne (genitive singular)
varistojenne (genitive plural)
varistoanne (partitive singular)
varistojanne (partitive plural)
varistossanne (inessive singular)
varistoissanne (inessive plural)
varistostanne (elative singular)
varistoistanne (elative plural)
varistoonne (illative singular)
varistoihinne (illative plural)
varistollanne (adessive singular)
varistoillanne (adessive plural)
varistoltanne (ablative singular)
varistoiltanne (ablative plural)
varistollenne (allative singular)
varistoillenne (allative plural)
varistonanne (essive singular)
varistoinanne (essive plural)
varistoksenne (singular translative)
varistoiksenne (plural translative)
varistottanne (abessive singular)
varistoittanne (abessive plural)
varistoinenne (comitative plural)
varistonsa (nominative singular)
varistonsa (nominative plural)
varistonsa (accusative nominative singular)
varistonsa (accusative nominative plural)
varistonsa (accusative genitive singular)
varistonsa (accusative genitive plural)
varistonsa (genitive singular)
varistojensa (genitive plural)
varistoaan (partitive singular)
varistoansa (partitive singular)
varistojaan (partitive plural)
varistojansa (partitive plural)
varistossaan (inessive singular)
varistossansa (inessive singular)
varistoissaan (inessive plural)
varistoissansa (inessive plural)
varistostaan (elative singular)
varistostansa (elative singular)
varistoistaan (elative plural)
varistoistansa (elative plural)
varistoonsa (illative singular)
varistoihinsa (illative plural)
varistollaan (adessive singular)
varistollansa (adessive singular)
varistoillaan (adessive plural)
varistoillansa (adessive plural)
varistoltaan (ablative singular)
varistoltansa (ablative singular)
varistoiltaan (ablative plural)
varistoiltansa (ablative plural)
varistolleen (allative singular)
varistollensa (allative singular)
varistoilleen (allative plural)
varistoillensa (allative plural)
varistonaan (essive singular)
varistonansa (essive singular)
varistoinaan (essive plural)
varistoinansa (essive plural)
varistokseen (singular translative)
varistoksensa (singular translative)
varistoikseen (plural translative)
varistoiksensa (plural translative)
varistottaan (abessive singular)
varistottansa (abessive singular)
varistoittaan (abessive plural)
varistoittansa (abessive plural)
varistoineen (comitative plural)
varistoinensa (comitative plural)

Possibly a blend of English variety + monisto.

algebrallinen varisto


z-suunta

z-suunta (nominative singular)
z-suunnat (nominative plural)
z-suunta (accusative nominative singular)
z-suunnat (accusative nominative plural)
z-suunnan (accusative genitive singular)
z-suunnat (accusative genitive plural)
z-suunnan (genitive singular)
z-suuntien (genitive plural)
z-suuntain (genitive plural rare)
z-suuntaa (partitive singular)
z-suuntia (partitive plural)
z-suunnassa (inessive singular)
z-suunnissa (inessive plural)
z-suunnasta (elative singular)
z-suunnista (elative plural)
z-suuntaan (illative singular)
z-suuntiin (illative plural)
z-suunnalla (adessive singular)
z-suunnilla (adessive plural)
z-suunnalta (ablative singular)
z-suunnilta (ablative plural)
z-suunnalle (allative singular)
z-suunnille (allative plural)
z-suuntana (essive singular)
z-suuntina (essive plural)
z-suunnaksi (singular translative)
z-suunniksi (plural translative)
z-suunnatta (abessive singular)
z-suunnitta (abessive plural)
z-suunnin (instructive plural)
See the possessive forms below. (comitative)
z-suuntani (nominative singular)
z-suuntani (nominative plural)
z-suuntani (accusative nominative singular)
z-suuntani (accusative nominative plural)
z-suuntani (accusative genitive singular)
z-suuntani (accusative genitive plural)
z-suuntani (genitive singular)
z-suuntieni (genitive plural)
z-suuntaini (genitive plural rare)
z-suuntaani (partitive singular)
z-suuntiani (partitive plural)
z-suunnassani (inessive singular)
z-suunnissani (inessive plural)
z-suunnastani (elative singular)
z-suunnistani (elative plural)
z-suuntaani (illative singular)
z-suuntiini (illative plural)
z-suunnallani (adessive singular)
z-suunnillani (adessive plural)
z-suunnaltani (ablative singular)
z-suunniltani (ablative plural)
z-suunnalleni (allative singular)
z-suunnilleni (allative plural)
z-suuntanani (essive singular)
z-suuntinani (essive plural)
z-suunnakseni (singular translative)
z-suunnikseni (plural translative)
z-suunnattani (abessive singular)
z-suunnittani (abessive plural)
z-suuntineni (comitative plural)
z-suuntasi (nominative singular)
z-suuntasi (nominative plural)
z-suuntasi (accusative nominative singular)
z-suuntasi (accusative nominative plural)
z-suuntasi (accusative genitive singular)
z-suuntasi (accusative genitive plural)
z-suuntasi (genitive singular)
z-suuntiesi (genitive plural)
z-suuntaisi (genitive plural rare)
z-suuntaasi (partitive singular)
z-suuntiasi (partitive plural)
z-suunnassasi (inessive singular)
z-suunnissasi (inessive plural)
z-suunnastasi (elative singular)
z-suunnistasi (elative plural)
z-suuntaasi (illative singular)
z-suuntiisi (illative plural)
z-suunnallasi (adessive singular)
z-suunnillasi (adessive plural)
z-suunnaltasi (ablative singular)
z-suunniltasi (ablative plural)
z-suunnallesi (allative singular)
z-suunnillesi (allative plural)
z-suuntanasi (essive singular)
z-suuntinasi (essive plural)
z-suunnaksesi (singular translative)
z-suunniksesi (plural translative)
z-suunnattasi (abessive singular)
z-suunnittasi (abessive plural)
z-suuntinesi (comitative plural)
z-suuntamme (nominative singular)
z-suuntamme (nominative plural)
z-suuntamme (accusative nominative singular)
z-suuntamme (accusative nominative plural)
z-suuntamme (accusative genitive singular)
z-suuntamme (accusative genitive plural)
z-suuntamme (genitive singular)
z-suuntiemme (genitive plural)
z-suuntaimme (genitive plural rare)
z-suuntaamme (partitive singular)
z-suuntiamme (partitive plural)
z-suunnassamme (inessive singular)
z-suunnissamme (inessive plural)
z-suunnastamme (elative singular)
z-suunnistamme (elative plural)
z-suuntaamme (illative singular)
z-suuntiimme (illative plural)
z-suunnallamme (adessive singular)
z-suunnillamme (adessive plural)
z-suunnaltamme (ablative singular)
z-suunniltamme (ablative plural)
z-suunnallemme (allative singular)
z-suunnillemme (allative plural)
z-suuntanamme (essive singular)
z-suuntinamme (essive plural)
z-suunnaksemme (singular translative)
z-suunniksemme (plural translative)
z-suunnattamme (abessive singular)
z-suunnittamme (abessive plural)
z-suuntinemme (comitative plural)
z-suuntanne (nominative singular)
z-suuntanne (nominative plural)
z-suuntanne (accusative nominative singular)
z-suuntanne (accusative nominative plural)
z-suuntanne (accusative genitive singular)
z-suuntanne (accusative genitive plural)
z-suuntanne (genitive singular)
z-suuntienne (genitive plural)
z-suuntainne (genitive plural rare)
z-suuntaanne (partitive singular)
z-suuntianne (partitive plural)
z-suunnassanne (inessive singular)
z-suunnissanne (inessive plural)
z-suunnastanne (elative singular)
z-suunnistanne (elative plural)
z-suuntaanne (illative singular)
z-suuntiinne (illative plural)
z-suunnallanne (adessive singular)
z-suunnillanne (adessive plural)
z-suunnaltanne (ablative singular)
z-suunniltanne (ablative plural)
z-suunnallenne (allative singular)
z-suunnillenne (allative plural)
z-suuntananne (essive singular)
z-suuntinanne (essive plural)
z-suunnaksenne (singular translative)
z-suunniksenne (plural translative)
z-suunnattanne (abessive singular)
z-suunnittanne (abessive plural)
z-suuntinenne (comitative plural)
z-suuntansa (nominative singular)
z-suuntansa (nominative plural)
z-suuntansa (accusative nominative singular)
z-suuntansa (accusative nominative plural)
z-suuntansa (accusative genitive singular)
z-suuntansa (accusative genitive plural)
z-suuntansa (genitive singular)
z-suuntiensa (genitive plural)
z-suuntainsa (genitive plural rare)
z-suuntaansa (partitive singular)
z-suuntiaan (partitive plural)
z-suuntiansa (partitive plural)
z-suunnassaan (inessive singular)
z-suunnassansa (inessive singular)
z-suunnissaan (inessive plural)
z-suunnissansa (inessive plural)
z-suunnastaan (elative singular)
z-suunnastansa (elative singular)
z-suunnistaan (elative plural)
z-suunnistansa (elative plural)
z-suuntaansa (illative singular)
z-suuntiinsa (illative plural)
z-suunnallaan (adessive singular)
z-suunnallansa (adessive singular)
z-suunnillaan (adessive plural)
z-suunnillansa (adessive plural)
z-suunnaltaan (ablative singular)
z-suunnaltansa (ablative singular)
z-suunniltaan (ablative plural)
z-suunniltansa (ablative plural)
z-suunnalleen (allative singular)
z-suunnallensa (allative singular)
z-suunnilleen (allative plural)
z-suunnillensa (allative plural)
z-suuntanaan (essive singular)
z-suuntanansa (essive singular)
z-suuntinaan (essive plural)
z-suuntinansa (essive plural)
z-suunnakseen (singular translative)
z-suunnaksensa (singular translative)
z-suunnikseen (plural translative)
z-suunniksensa (plural translative)
z-suunnattaan (abessive singular)
z-suunnattansa (abessive singular)
z-suunnittaan (abessive plural)
z-suunnittansa (abessive plural)
z-suuntineen (comitative plural)
z-suuntinensa (comitative plural)

[ˈts̠e̞t̪ɑ̝ˌs̠uːn̪t̪ɑ̝]

[ˈts̠e̞tˌs̠uːn̪t̪ɑ̝]


y-suunta

y-suunta (nominative singular)
y-suunnat (nominative plural)
y-suunta (accusative nominative singular)
y-suunnat (accusative nominative plural)
y-suunnan (accusative genitive singular)
y-suunnat (accusative genitive plural)
y-suunnan (genitive singular)
y-suuntien (genitive plural)
y-suuntain (genitive plural rare)
y-suuntaa (partitive singular)
y-suuntia (partitive plural)
y-suunnassa (inessive singular)
y-suunnissa (inessive plural)
y-suunnasta (elative singular)
y-suunnista (elative plural)
y-suuntaan (illative singular)
y-suuntiin (illative plural)
y-suunnalla (adessive singular)
y-suunnilla (adessive plural)
y-suunnalta (ablative singular)
y-suunnilta (ablative plural)
y-suunnalle (allative singular)
y-suunnille (allative plural)
y-suuntana (essive singular)
y-suuntina (essive plural)
y-suunnaksi (singular translative)
y-suunniksi (plural translative)
y-suunnatta (abessive singular)
y-suunnitta (abessive plural)
y-suunnin (instructive plural)
See the possessive forms below. (comitative)
y-suuntani (nominative singular)
y-suuntani (nominative plural)
y-suuntani (accusative nominative singular)
y-suuntani (accusative nominative plural)
y-suuntani (accusative genitive singular)
y-suuntani (accusative genitive plural)
y-suuntani (genitive singular)
y-suuntieni (genitive plural)
y-suuntaini (genitive plural rare)
y-suuntaani (partitive singular)
y-suuntiani (partitive plural)
y-suunnassani (inessive singular)
y-suunnissani (inessive plural)
y-suunnastani (elative singular)
y-suunnistani (elative plural)
y-suuntaani (illative singular)
y-suuntiini (illative plural)
y-suunnallani (adessive singular)
y-suunnillani (adessive plural)
y-suunnaltani (ablative singular)
y-suunniltani (ablative plural)
y-suunnalleni (allative singular)
y-suunnilleni (allative plural)
y-suuntanani (essive singular)
y-suuntinani (essive plural)
y-suunnakseni (singular translative)
y-suunnikseni (plural translative)
y-suunnattani (abessive singular)
y-suunnittani (abessive plural)
y-suuntineni (comitative plural)
y-suuntasi (nominative singular)
y-suuntasi (nominative plural)
y-suuntasi (accusative nominative singular)
y-suuntasi (accusative nominative plural)
y-suuntasi (accusative genitive singular)
y-suuntasi (accusative genitive plural)
y-suuntasi (genitive singular)
y-suuntiesi (genitive plural)
y-suuntaisi (genitive plural rare)
y-suuntaasi (partitive singular)
y-suuntiasi (partitive plural)
y-suunnassasi (inessive singular)
y-suunnissasi (inessive plural)
y-suunnastasi (elative singular)
y-suunnistasi (elative plural)
y-suuntaasi (illative singular)
y-suuntiisi (illative plural)
y-suunnallasi (adessive singular)
y-suunnillasi (adessive plural)
y-suunnaltasi (ablative singular)
y-suunniltasi (ablative plural)
y-suunnallesi (allative singular)
y-suunnillesi (allative plural)
y-suuntanasi (essive singular)
y-suuntinasi (essive plural)
y-suunnaksesi (singular translative)
y-suunniksesi (plural translative)
y-suunnattasi (abessive singular)
y-suunnittasi (abessive plural)
y-suuntinesi (comitative plural)
y-suuntamme (nominative singular)
y-suuntamme (nominative plural)
y-suuntamme (accusative nominative singular)
y-suuntamme (accusative nominative plural)
y-suuntamme (accusative genitive singular)
y-suuntamme (accusative genitive plural)
y-suuntamme (genitive singular)
y-suuntiemme (genitive plural)
y-suuntaimme (genitive plural rare)
y-suuntaamme (partitive singular)
y-suuntiamme (partitive plural)
y-suunnassamme (inessive singular)
y-suunnissamme (inessive plural)
y-suunnastamme (elative singular)
y-suunnistamme (elative plural)
y-suuntaamme (illative singular)
y-suuntiimme (illative plural)
y-suunnallamme (adessive singular)
y-suunnillamme (adessive plural)
y-suunnaltamme (ablative singular)
y-suunniltamme (ablative plural)
y-suunnallemme (allative singular)
y-suunnillemme (allative plural)
y-suuntanamme (essive singular)
y-suuntinamme (essive plural)
y-suunnaksemme (singular translative)
y-suunniksemme (plural translative)
y-suunnattamme (abessive singular)
y-suunnittamme (abessive plural)
y-suuntinemme (comitative plural)
y-suuntanne (nominative singular)
y-suuntanne (nominative plural)
y-suuntanne (accusative nominative singular)
y-suuntanne (accusative nominative plural)
y-suuntanne (accusative genitive singular)
y-suuntanne (accusative genitive plural)
y-suuntanne (genitive singular)
y-suuntienne (genitive plural)
y-suuntainne (genitive plural rare)
y-suuntaanne (partitive singular)
y-suuntianne (partitive plural)
y-suunnassanne (inessive singular)
y-suunnissanne (inessive plural)
y-suunnastanne (elative singular)
y-suunnistanne (elative plural)
y-suuntaanne (illative singular)
y-suuntiinne (illative plural)
y-suunnallanne (adessive singular)
y-suunnillanne (adessive plural)
y-suunnaltanne (ablative singular)
y-suunniltanne (ablative plural)
y-suunnallenne (allative singular)
y-suunnillenne (allative plural)
y-suuntananne (essive singular)
y-suuntinanne (essive plural)
y-suunnaksenne (singular translative)
y-suunniksenne (plural translative)
y-suunnattanne (abessive singular)
y-suunnittanne (abessive plural)
y-suuntinenne (comitative plural)
y-suuntansa (nominative singular)
y-suuntansa (nominative plural)
y-suuntansa (accusative nominative singular)
y-suuntansa (accusative nominative plural)
y-suuntansa (accusative genitive singular)
y-suuntansa (accusative genitive plural)
y-suuntansa (genitive singular)
y-suuntiensa (genitive plural)
y-suuntainsa (genitive plural rare)
y-suuntaansa (partitive singular)
y-suuntiaan (partitive plural)
y-suuntiansa (partitive plural)
y-suunnassaan (inessive singular)
y-suunnassansa (inessive singular)
y-suunnissaan (inessive plural)
y-suunnissansa (inessive plural)
y-suunnastaan (elative singular)
y-suunnastansa (elative singular)
y-suunnistaan (elative plural)
y-suunnistansa (elative plural)
y-suuntaansa (illative singular)
y-suuntiinsa (illative plural)
y-suunnallaan (adessive singular)
y-suunnallansa (adessive singular)
y-suunnillaan (adessive plural)
y-suunnillansa (adessive plural)
y-suunnaltaan (ablative singular)
y-suunnaltansa (ablative singular)
y-suunniltaan (ablative plural)
y-suunniltansa (ablative plural)
y-suunnalleen (allative singular)
y-suunnallensa (allative singular)
y-suunnilleen (allative plural)
y-suunnillensa (allative plural)
y-suuntanaan (essive singular)
y-suuntanansa (essive singular)
y-suuntinaan (essive plural)
y-suuntinansa (essive plural)
y-suunnakseen (singular translative)
y-suunnaksensa (singular translative)
y-suunnikseen (plural translative)
y-suunniksensa (plural translative)
y-suunnattaan (abessive singular)
y-suunnattansa (abessive singular)
y-suunnittaan (abessive plural)
y-suunnittansa (abessive plural)
y-suuntineen (comitative plural)
y-suuntinensa (comitative plural)

[ˈyːˌs̠uːn̪t̪ɑ̝]


vanishing ideal

en-noun

vanishing ideal (plural vanishing ideals)

(algebraic geometry) An ideal consisting of all polynomials (belonging to a certain polynomial ring) which zero out within a given algebraic variety.


birational geometry

Birational geometry amounts to the study of mappings given by rational functions rather than polynomials.

1999, Yongbin Ruan, Surgery, Quantum Cohomology and Birational Geometry, Ya. Eliashberg, D. Fuchs, T. Ratiu, Alan Weinstein (editors), Northern California Symplectic Geometry Seminar, American Mathematical Society, Translations, Series 2, Volume 196, page 183,
Recently, some amazing relations between quantum cohomology and birational geometry have been discovered.

2008, Paltin Ionescu, Birational geometry of rationally connected manifolds via quasi-lines, Ciro Ciliberto, et al., Projective Varieties with Unexpected Properties, Walter de Gruyter, page 317,
This is, mostly, a survey of results about the birational geometry of rationally connected manifolds, using rational curves analogous to lines in ℙⁿ (quasi-lines).

2009, Claudio Bartocci, Ugo Bruzzo, Daniel Hernández Ruipérez, Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics, Springer (Birkhäuser), Progress in Mathematics 276, page 233,
In this chapter we offer some applications of Fourier-Mukai transforms, namely, a classification of the Fourier-Mukai partners of complex projective surfaces, some issues in birational geometry, and an approach to the McKay correspondence via Fourier-Mukai transform.

(algebraic geometry) A field of algebraic geometry in which the aim is to determine under what conditions two algebraic varieties are isomorphic outside lower-dimensional subsets.


algebraic analysis

The area of study in algebraic geometry began as a research programme, instigated in 1959 by Japanese mathematician Mikio Sato.

1986, Goro Kato (translator), Masaki Kashiwara, Takahiro Kawai, Tatsuo Kimura, Foundations of Algebraic Analysis, Princeton Universty Press, https://books.google.com.au/books?id=qYUrDgAAQBAJ&printsec=frontcover&dq=%22algebraic+analysis%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwiK5MSlvsLsAhWXbn0KHbPuBPQQ6AEwAnoECAYQAg#v=onepage&q=%22algebraic%20analysis%22&f=false.

In their classical work [123], Kashiwara, Kawai, and Kimura pointedly observe that the Japanese algebraic analysis is really the algebraic analysis in the tradition of Euler; we may add that what we mean by algebraic microlocal analysis is the successful attempt to adapt the methods of abstract algebraic geometry to the non-commutative setting in which the base ring is now the ring of variable coefficients^([sic]) partial differential operators.

1999, Goro Kato, Daniele C. Struppa, Fundamentals of Algebraic Microlocal Analysis, Marcel Dekker, page v:

2008, Yoshitsugu Takei, The work of T. Kawai on exact WKB analysis, T. Aoki, H. Majima, Y. Takei, N. Tose (editors), Algebraic Analysis of Differential Equations, Springer, page 19,
Thus Kawai has been engaged mainly in the research of exact WKB analysis or algebraic analysis of singular perturbation theory since 1989.

partial differential equation
partial differential equation

(algebraic geometry, algebraic topology) The study of systems of linear partial differential equations, using techniques from sheaf theory and complex analysis to examine functions and certain generalisations of functions (such as hyperfunctions and microfunctions).


algebraic K-theory

Algebraic cycles are typically studied by imposing one of several equivalence relations. The equivalence relation most relevant for algebraic K-theory is rational equivalence.

1999, E. M. Friedlander, “Lecture VII. Beilinson's vision”, in H. Bass, A. O. Kuku, C. Pedrini, editors, Algebraic K-theory And Its Applications, World Scientific, page 61:

Algebraic K-theory has two components: the classical theory which centers around the Grothendieck group K#x5F;0 of a category and uses explicit algebraic presentations and higher algebraic K-theory which requires topological or homological machinery to define.

2013, Charles A. Weibel, The K-book: An Introduction to Algebraic K-theory, American Mathematical Society, page ix:

2014, Daniel Scott Farley, Ivonne Johanna Ortiz, Algebraic K-theory of Crystallographic Groups, Springer, Lecture Notes in Mathematics 2113, page 1,
Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring R instead of a field. […] Algebraic K-theory plays an important part in many areas of mathematics, especially number theory, algebraic topology and algebraic geometry.

(algebraic geometry) K-theory studied from the point of view of algebra.

K-théorie algébrique

K theory studied from the point of view of algebra


Witt group

Named after German mathematician Ernst Witt (1911–1991), who introduced the concept in 1937.

groupe de Witt

group of equivalence classes found within a field, variety or category

A general method of studying the Witt group of a smooth variety is through the graded group associated to the filtration induced by the filtration of the Witt group of the function field by powers of the fundamental ideal of even rank forms.

1995, Raman Parimala, “Study of quadratic forms - Some connections with geometry”, in S. D. Chatterji, editor, Proceedings of the International Congress of Mathematicians, Zürich m94, Birkhäuser, page 328:

2011, Marco Schlichting, Higher Algebraic K-theory, Guillermo Cortiñas (editor), Topics in Algebraic and Topological K-Theory, Springer, Lecture Notes in Mathematics 2008, page 167,
The second reason for this emphasis is that an analog of the Thomason-Waldhausen Localization Theorem also holds for many other (co-) homology theories besides K-theory, among which Hochschild homology, (negative, periodic, ordinary) cyclic homology [49], topological Hochschild (and cyclic) homology [2], triangular Witt groups [6] and higher Grothendieck–Witt groups [77].

The Witt group of a category with duality is given as the quotient of the isometry classes of symmetric spaces modulo metabolic spaces.[…]For coherent and derived Witt groups, the derived tensor product of complexes gives rise to duality-preserving functions and consequently to pairings in triangular Witt groups, cf. [GN03].

2020, Matthias Wendt, “Oriented Schubert calculus in Chow-Witt rings of Grassmannians”, in Federico Binda, Marc Levine, Manh Toan Nguyen, Oliver Röndigs, editors, Motivic Homotopy Theory and Refined Enumerative Geometry, American Mathematical Society, pages 239–240:

equivalence relation
equivalence relation

metabolic quadratic space
metabolic quadratic space

(algebra) Given a field k of characteristic ≠ 2, the abelian group of equivalence classes of nondegenerate symmetric bilinear forms over k (where the equivalence relation is such that two forms are equivalent if each is obtainable from the other by adding a metabolic quadratic space), with the group operation corresponding to that of orthogonal direct sum of forms;

Given a field k of characteristic ≠ 2, the abelian group of equivalence classes of nondegenerate symmetric bilinear forms over k (where the equivalence relation is such that two forms are equivalent if each is obtainable from the other by adding a metabolic quadratic space), with the group operation corresponding to that of orthogonal direct sum of forms;
(algebraic geometry, by extension) given a variety X, the quotient of the Grothendieck group of isometry classes of quadratic spaces on X, with respect to orthogonal sum, modulo the subgroup generated by metabolic spaces
(category theory, by extension) given a category with duality, the quotient of isometry classes of symmetric spaces, modulo metabolic spaces.


algebraic fundamental group

algebraic fundamental group (plural algebraic fundamental groups)

1997, Frans Oort, The Algebraic Fundamental Group, Leila Schneps, Pierre Lochak (editors), Geometric Galois Actions 1: Around Grothendieck's Esquisse D'un Programme, Cambridge University Press, London Mathematical Society, page 78,
Serre constructed an example of an algebraic variety X over a number field K plus two embeddings of K into ℂ such that the geometric fundamental groups of X_1( ℂ) and X_2( ℂ) are not isomorphic, while the algebraic fundamental groups (i.e. their profinite completions) clearly are isomorphic, see (Serre).

Neves and Papadakis ([NP09]) constructed a numerical Campedelli surface with algebraic fundamental group #x5C;mathbbZ#x5F;6, while Lee and Park ([LP09]) constructed one with algebraic fundamental group #x5C;mathbbZ#x5F;2, and one with algebraic fundamental group #x5C;mathbbZ#x5F;3 was added in the second version of the same paper.

2011, Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli, “Surfaces of general type with geometric genus zero: a survey”, in Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk, editors, Complex and Differential Geometry, Springer, page 11:

In order to work in arbitrary characteristic, we should use the algebraic fundamental group, which we denote by #x5C;pi#x5F;1. (A very good introduction to algebraic fundamental groups is [24].[…])

2013, János Kollár, “Rationally Connected Varieties and Connected Groups”, in Károly Böröczky, Jr., János Kollár, Szamuely Tamas, editors, Higher Dimensional Varieties and Rational Points, Springer, page 70:

(algebraic geometry) A group which is an analogue for schemes of the fundamental group for topological spaces.


anabelian geometry

anabelian geometry (countable and uncountable, plural anabelian geometries)

We shall say more about the noncommutative nature of anabelian geometries after we state the main theorem (Theorem 1.17 below) on these geometries.

1999, Shinichi Mochizuki, Foundations of p-adic Teichmüller Theory, American Mathematical Society, page 63:

The basic idea of Grothendieck's anabelian geometry is that under certain "anabelian hypotheses" the étale fundamental group of a scheme contains all the geometric and arithmetic information about the scheme in discussion, that is to say, the scheme is functorially encoded in its étale fundamental group.
Among these we shall discuss applications to the inverse Galois problem, Belyi's theorem on covers of the projective line minus three points and some advanced results on ‘anabelian geometry’ of curves.

2000, Florian Pop, “Alterations and Birational Anabelian Geometry”, in H. Hauser, J. Lipman, F. Oort, A. Quirós, editors, Resolution of Singularities, Birkhäuser, page 519:

Therefore, the time seems right to encourage a much broader understanding of the arithmetic issues surrounding anabelian geometry and its ramifications.
While the overall importance of the theorems of anabelian geometry appears to be widely acknowledged, there is as yet not much specific knowledge within the arithmetic geometry community of its coherent body of concepts and philosophy, and of the new technology that yields actual results.

2012, John Coates, Minhyong Kim, Florian Pop, Mohamed Saïdi, Peter Schneider, editors, Non-abelian Fundamental Groups and Iwasawa Theory, Cambridge University Press, page vii:

algebraic fundamental group
algebraic fundamental group

(mathematics, algebraic geometry, arithmetic geometry) A theory which describes the way in which the algebraic fundamental group G of an algebraic variety (or some related geometric object) V determines how V can be mapped into another geometric object W, under the assumption that G is very far from being abelian (commutative).


racionala funkcio

eo-head

racionala funkcio (accusative singular racionalan funkcion, plural racionalaj funkcioj, accusative plural racionalajn funkciojn)

racionalan funkcion (accusative singular)
racionalaj funkcioj (plural)
racionalajn funkciojn (accusative plural)

rational function
rational function#English

(mathematics, complex analysis, algebraic geometry) rational function


Sumihiro's theorem

(algebraic geometry) A theorem stating that a normal algebraic variety with an action of a torus can be covered by torus-invariant affine open subsets.


Białynicki-Birula decomposition

en-noun

Białynicki-Birula decomposition (plural Białynicki-Birula decompositions)

The description depends on a partial ordering of the fixed point components which arises from the Białynicki-Birula decompositions of X.

1984, Pacific Journal of Mathematics, volumes 114-115, page 149:

Section 2 describes a C*-action on Grassmann manifolds and gives the corresponding Białynicki-Birula decomposition.

1988, Mathematica Scandinavica, volume 62, page 5:

(algebraic geometry) A T-stable cellular decomposition of a smooth T-variety.


隱函數

/in²¹⁴⁻²¹ xän³⁵ ʂu⁵¹/

/in²¹⁴⁻²¹ xän³⁵ ʂu⁵¹/

mathematical analysis
mathematical analysis

(mathematical analysis, algebraic geometry) implicit function


Donaldson-Thomas theory

Donaldson-Thomas invariant
Donaldson-Thomas invariant

(algebraic geometry) The theory of Donaldson-Thomas invariants.


Donaldson-Thomas invariant

Donaldson-Thomas invariant (plural Donaldson-Thomas invariants)

Introduced in 1998 by Simon Donaldson and Richard Thomas.

Calabi-Yau threefold
Calabi-Yau manifold#English

(algebraic geometry) Given a compact moduli space of sheaves on a Calabi-Yau threefold, its Donaldson-Thomas invariant is the virtual number of its points, i.e., the integral of the cohomology class 1 against the virtual fundamental class.


Calabi-Yau manifold

Calabi-Yau manifold (plural Calabi-Yau manifolds)

The name was coined by Candelas et al. (1985), after Eugenio Calabi (1954, 1957) who first conjectured that such surfaces might exist, and Shing-Tung Yau (1978), who proved the Calabi conjecture.

(algebraic geometry) A kind of manifold having properties, such as Ricci flatness, that yield applications in theoretical physics.


超橢圓曲線

ㄔㄠ ㄊㄨㄛˇ ㄩㄢˊ ㄑㄩ ㄒㄧㄢˋ

чаотоюань цюйсянь

/ʈ͡ʂʰɑʊ̯⁵⁵ tʰu̯ɔ²¹⁴⁻²¹ ɥɛn³⁵ t͡ɕʰy⁵⁵ ɕi̯ɛn⁵¹/

(algebraic geometry) hyperelliptic curve


橢圓曲線

ㄊㄨㄛˇ ㄩㄢˊ ㄑㄩ ㄒㄧㄢˋ

тоюань цюйсянь

/tʰu̯ɔ²¹⁴⁻²¹ ɥɛn³⁵ t͡ɕʰy⁵⁵ ɕi̯ɛn⁵¹/

/tʰɔː¹³ jyːn²¹ kʰʊk̚⁵ siːn³³/

/tʰu̯ɔ²¹⁴⁻²¹ ɥɛn³⁵ t͡ɕʰy⁵⁵ ɕi̯ɛn⁵¹/

/tʰɔː¹³ jyːn²¹ kʰʊk̚⁵ siːn³³/


чотиривимірний

uk-adj

чотириви́мірний

чотириви́мірний • (čotyryvýmirnyj)

чотириви́мірний (canonical)
čotyryvýmirnyj (romanization)
чотириви́мірний (masculine nominative)
чотириви́мірне (neuter nominative)
чотириви́мірна (feminine nominative)
чотириви́мірні (nominative plural)
чотириви́мірного (genitive masculine neuter)
чотириви́мірної (feminine genitive)
чотириви́мірних (genitive plural)
чотириви́мірному (dative masculine neuter)
чотириви́мірній (dative feminine)
чотириви́мірним (dative plural)
чотириви́мірного (accusative animate masculine)
чотириви́мірне (accusative neuter)
чотириви́мірну (accusative feminine)
чотириви́мірних (accusative animate plural)
чотириви́мірний (accusative inanimate masculine)
чотириви́мірні (accusative inanimate plural)
чотириви́мірним (instrumental masculine neuter)
чотириви́мірною (feminine instrumental)
чотириви́мірними (instrumental plural)
чотириви́мірному (locative masculine neuter)
чотириви́мірнім (locative masculine neuter)
чотириви́мірній (feminine locative)
чотириви́мірних (locative plural)

uk-adecl

чотириви́мірний

From чотири- (čotyry-, “four-, quadr(i)-”) + ви́мір (výmir, “dimension”) + -ний (-nyj).


faithfully flat

(algebraic geometry, of a morphism of schemes) Flat and surjective.


GAGA

(algebraic geometry) Acronym of Géometrie Algébrique et Géométrie Analytique (a landmark paper by Jean-Pierre Serre)


vanishing locus

(algebraic geometry) Synonym of zero locus.


zero locus

(algebraic geometry, of a polynomial, or, more generally, a function) The set of points (usually in affine or projective space, but more generally in the domain of the function) where the given polynomial (or function) takes the value zero.


distinguished open set

en-noun

distinguished open set (plural distinguished open sets)

(algebraic geometry) A particularly basic kind of set, generalizing the notion of the compliment of a hypersurface, originating in the study of algebraic varieties but in modern mathematics also extending to the setting of affine schemes. Formally: (in the context of affine or projective varieties) the compliment of the zero locus of a polynomial in affine or projective space; (in scheme theory) the subset of prime ideals of a commutative ring which do not contain some element of the ring.


affine scheme

locally ringed space
locally ringed space

(algebraic geometry) An abstract, geometric object in mathematics which generalizes the notion of an affine variety qua domain of a commutative ring of polynomial functions: a space which is the result of a particular construction beginning with an arbitrary commutative ring whereby elements of the ring can be thought of as functions on the space; a space which can be constructed in such a way. Formally: the spectrum of a commutative ring; a locally ringed space isomorphic to the spectrum of a commutative ring.


structure sheaf

structure sheaf (plural structure sheaves)

(sheaf theory, algebraic geometry) The sheaf associated to a ringed space.


B-sheaf

(sheaf theory, algebraic geometry) A kind of partial, simpler to describe sheaf which can be extended into a sheaf (and which is, in a technical sense, equivalent to that sheaf). For a formal definition, see B-sheaf on Wikipedia.Wikipedia.


quasi-projective

From quasi- + projective, the sense being that projective varieties are closed subsets of projective space while quasi-projective varieties are only required to be locally closed, a strictly weaker condition. The second, scheme-theoretic sense generalizes the first.

(algebraic geometry, of a variety) Locally closed with respect to the Zariski topology on projective n-space; isomorphic to such a set.

(algebraic geometry, of a scheme) Comprising an open subscheme of a projective scheme


Fourier-Mukai transform

Fourier-Mukai transform (plural Fourier-Mukai transforms)

(algebraic geometry) A functor Φ_K between derived category of coherent sheaves D(X) → D(Y) for schemes X and Y, which is, in a sense, an integral transform along a kernel object K ∈ D(X×Y).