Verband

de-noun

Verband m (strong, genitive Verbandes or Verbands, plural Verbände)

Verbandes (genitive)
Verbands (genitive)
Verbände (plural)
Verband (nominative singular)
Verbände (definite nominative plural)
Verbandes (genitive singular)
Verbands (genitive singular)
Verbände (definite genitive plural)
Verband (dative singular)
Verbande (dative singular)
Verbänden (dative definite plural)
Verband (accusative singular)
Verbände (accusative definite plural)


Cayley table

multiplication table
multiplication table

(algebra) The analogue for a group of a multiplication table.


quadrinomial

LL-Q1860 (eng)-Flame, not lame-quadrinomial.wav

(algebra) An expression consisting of four terms.


działanie

działanie (nominative singular)
działania (nominative plural)
działania (genitive singular)
działań (genitive plural)
działaniu (dative singular)
działaniom (dative plural)
działanie (accusative singular)
działania (accusative plural)
działaniem (instrumental singular)
działaniami (instrumental plural)
działaniu (locative singular)
działaniach (locative plural)
działanie (singular vocative)
działania (plural vocative)

Inherited from Old Polish działanie. By surface analysis, działać + -anie.

(countable, algebra) operation (method of producing values from operands)

(countable, algebra) action (homomorphism from a group to a group of automorphisms)


trichotomy

en-noun

trichotomy (countable and uncountable, plural trichotomies)

LL-Q1860 (eng)-Flame, not lame-trichotomy.wav

From Ancient Greek τριχοτομία (trikhotomía), from τρίχα (tríkha) + τόμος (tómos) + -ία (-ía).

affix

[A linear order] obeys the following trichotomy law[.]

Aliprantis, Border (2006), Infinite Dimensional Analysis: A Hitchhiker's Guide (3rd ed.), p. 6

(algebra) the property of an order relation whereby, given an ordered pair of elements (of a given algebraic structure), exactly one of these is true: the first element is 'less than' the second one, the second is 'less than' the first, or the two elements are equal.


kwadratowy

pl-adj

kwadratowy (not comparable, derived adverb kwadratowo)

kwadratowy (masculine nominative singular)
kwadratowa (feminine nominative singular)
kwadratowe (neuter nominative singular)
kwadratowi (nominative plural virile)
kwadratowe (nominative plural)
kwadratowego (genitive masculine singular)
kwadratowej (feminine genitive singular)
kwadratowego (genitive neuter singular)
kwadratowych (genitive plural)
kwadratowych (genitive plural virile)
kwadratowemu (dative masculine singular)
kwadratowej (dative feminine singular)
kwadratowemu (dative neuter singular)
kwadratowym (dative plural)
kwadratowym (dative plural virile)
kwadratowego (accusative animate masculine singular)
kwadratowy (accusative inanimate masculine singular)
kwadratową (accusative feminine singular)
kwadratowe (accusative neuter singular)
kwadratowych (accusative plural virile)
kwadratowe (accusative plural)
kwadratowym (instrumental masculine singular)
kwadratową (feminine instrumental singular)
kwadratowym (instrumental neuter singular)
kwadratowymi (instrumental plural)
kwadratowymi (instrumental plural virile)
kwadratowym (locative masculine singular)
kwadratowej (feminine locative singular)
kwadratowym (locative neuter singular)
kwadratowych (locative plural)
kwadratowych (locative plural virile)

funkcja kwadratowa

(calculus, algebra, relational) quadratic (of second-degree polynomial)


ismeretlen

ismeretlenek (plural)
ismeretlen (nominative singular)
ismeretlenek (nominative plural)
ismeretlent (accusative singular)
ismeretleneket (accusative plural)
ismeretlennek (dative singular)
ismeretleneknek (dative plural)
ismeretlennel (instrumental singular)
ismeretlenekkel (instrumental plural)
ismeretlenért (causal-final singular)
ismeretlenekért (causal-final plural)
ismeretlenné (singular translative)
ismeretlenekké (plural translative)
ismeretlenig (singular terminative)
ismeretlenekig (plural terminative)
ismeretlenként (essive-formal singular)
ismeretlenekként (essive-formal plural)
ismeretlenben (inessive singular)
ismeretlenekben (inessive plural)
ismeretlenen (singular superessive)
ismeretleneken (plural superessive)
ismeretlennél (adessive singular)
ismeretleneknél (adessive plural)
ismeretlenbe (illative singular)
ismeretlenekbe (illative plural)
ismeretlenre (singular sublative)
ismeretlenekre (plural sublative)
ismeretlenhez (allative singular)
ismeretlenekhez (allative plural)
ismeretlenből (elative singular)
ismeretlenekből (elative plural)
ismeretlenről (delative singular)
ismeretlenekről (delative plural)
ismeretlentől (ablative singular)
ismeretlenektől (ablative plural)
ismeretlené (singular)
ismeretleneké (plural)
ismeretlenéi (singular)
ismeretlenekéi (plural)
ismeretlenem (first-person possessed-single possessive singular)
ismeretleneim (first-person possessed-many possessive singular)
ismeretlened (possessed-single possessive second-person singular)
ismeretleneid (possessed-many possessive second-person singular)
ismeretlene (possessed-single possessive singular third-person)
ismeretlenei (possessed-many possessive singular third-person)
ismeretlenünk (first-person plural possessed-single possessive)
ismeretleneink (first-person plural possessed-many possessive)
ismeretlenetek (plural possessed-single possessive second-person)
ismeretleneitek (plural possessed-many possessive second-person)
ismeretlenük (plural possessed-single possessive third-person)
ismeretleneik (plural possessed-many possessive third-person)

From ismer (“to know”) + -etlen (“un-, -less, without”, privative adjective-forming suffix).

affix

(algebra) unknown (a variable whose value is to be found)


reciprok

reciprok (positive)
reciprokt (positive)
reciprokke (plural positive)
reciprokke (positive)

Borrowed from French réciproque (“reciprocal”), from Latin reciprocus.

multiplicative inverse
multiplicative inverse

(algebra, by extension) multiplicative inverse; in a field, for some element, another element such that the product of the two elements is 1


algebraic structure

en-noun

algebraic structure (plural algebraic structures)

(algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra.


algebraická struktura

algebraická struktura (nominative singular)
algebraické struktury (nominative plural)
algebraické struktury (genitive singular)
algebraických struktur (genitive plural)
algebraické struktuře (dative singular)
algebraickým strukturám (dative plural)
algebraickou strukturu (accusative singular)
algebraické struktury (accusative plural)
algebraická strukturo (singular vocative)
algebraické struktury (plural vocative)
algebraické struktuře (locative singular)
algebraických strukturách (locative plural)
algebraickou strukturou (instrumental singular)
algebraickými strukturami (instrumental plural)


úplný svaz

úplný svaz (nominative singular)
úplné svazy (nominative plural)
úplného svazu (genitive singular)
úplných svazů (genitive plural)
úplnému svazu (dative singular)
úplným svazům (dative plural)
úplný svaz (accusative singular)
úplné svazy (accusative plural)
úplný svaze (singular vocative)
úplné svazy (plural vocative)
úplném svaze (locative singular)
úplném svazu (locative singular)
úplných svazech (locative plural)
úplným svazem (instrumental singular)
úplnými svazy (instrumental plural)


průsek

průsek (nominative singular)
průseky (nominative plural)
průseku (genitive singular)
průseků (genitive plural)
průseku (dative singular)
průsekům (dative plural)
průsek (accusative singular)
průseky (accusative plural)
průseku (singular vocative)
průseky (plural vocative)
průseku (locative singular)
průsecích (locative plural)
průsekem (instrumental singular)
průseky (instrumental plural)


homomorphic

en-adj

homomorphic (comparative more homomorphic, superlative most homomorphic)

more homomorphic (comparative)
most homomorphic (superlative)

LL-Q1860 (eng)-Flame, not lame-homomorphic.wav

If it is necessary or desirable to preserve input or output port structure in homomorphic images, one must insist on a special case of homomorphism.

1993, A. Wayne Wymore, Model-Based Systems Engineering, CRC Press, →ISBN, page 182:

In this chapter two types of signature schemes satisfying homomorphic properties are presented. In the first section a description of the homomorphic signature schemes suitable in the single-user scenario is provided.

2016, Giulia Traverso, Denise Demirel, Johannes Buchmann, Homomorphic Signature Schemes: A Survey, Springer, →ISBN, page 11:

Fully homomorphic encryption (FHE) is a new encryption technique that enables computing on data blindly, without decrypting it.

2023 May 26, Rand Hindi, “How Homomorphic Encryption Can Make Blockchain Private”, in Forbes, New York, N.Y.: Forbes Media, →ISSN, →OCLC, archived from the original on 2023-06-12:

(algebra, biology) Of or pertaining to homomorphism; having a homomorphism.


stała

stała (nominative singular)
stałe (nominative plural)
stałej (genitive singular)
stałych (genitive plural)
stałej (dative singular)
stałym (dative plural)
stałą (accusative singular)
stałe (accusative plural)
stałą (instrumental singular)
stałymi (instrumental plural)
stałej (locative singular)
stałych (locative plural)
stała (singular vocative)
stałe (plural vocative)

(nominalized, algebra) constant (quantity that remains at a fixed value throughout a given discussion)


associativo

pt-adj

associativo (feminine associativa, masculine plural associativos, feminine plural associativas)

associativa (feminine)
associativos (masculine plural)
associativas (feminine plural)

(algebra) associative (algebraic property of an operator)


पक्ष

pakṣá (romanization)
पक्षः (nominative singular)
पक्षौ (dual nominative)
पक्षा1 (dual nominative)
पक्षाः (nominative plural)
पक्षासः1 (nominative plural)
पक्षम् (accusative singular)
पक्षौ (accusative dual)
पक्षा1 (accusative dual)
पक्षान् (accusative plural)
पक्षेण (instrumental singular)
पक्षाभ्याम् (dual instrumental)
पक्षैः (instrumental plural)
पक्षेभिः1 (instrumental plural)
पक्षाय (dative singular)
पक्षाभ्याम् (dative dual)
पक्षेभ्यः (dative plural)
पक्षात् (ablative singular)
पक्षाभ्याम् (ablative dual)
पक्षेभ्यः (ablative plural)
पक्षस्य (genitive singular)
पक्षयोः (dual genitive)
पक्षाणाम् (genitive plural)
पक्षे (locative singular)
पक्षयोः (dual locative)
पक्षेषु (locative plural)
पक्ष (singular vocative)
पक्षौ (dual vocative)
पक्षा1 (dual vocative)
पक्षाः (plural vocative)
पक्षासः1 (plural vocative)

desctree

Pali: pakkha
→ Kannada: ಪಕ್ಕ (pakka, “side”)
→ Tamil: பக்கம் (pakkam)
→ Thai: ปักข์, ปักษ์ (bpàk)

Prakrit: 𑀧𑀓𑁆𑀔 (pakkha), 𑀧𑀁𑀔 (paṃkha)

desc

Assamese: পখা (pokha), পাখা (pakha), পাখি (pakhi)

Bengali: পাখা (pakha)

Hindi: पंख (paṅkh), पंखा (paṅkhā), पांख (pāṅkh)

Konkani: पाख (pākh)

Marathi: पंख (paṅkha), पाख (pākh)

Mewari: पंखो (paṅkho)

Punjabi: ਪੱਖ (pakkha)

Romani: phak

→ Hindi: पक्ष (pakṣ)

→ Kannada: ಪಕ್ಷ (pakṣa)

→ Marathi: पक्ष (pakṣa)

→ Malay: paksa

Indonesian: paksa

From Proto-Indo-Iranian *pakšás (“side, flank”), from Proto-Indo-European *peg- (“side, flank”).
Cognate with Ossetian фахс (faxs, “side”) and maybe Latvian paksis (“corner of a house”).
Alternatively from Proto-Indo-Iranian *paćšás and cognate with Prasuni obuć (“side”), Waigali pāći (“side”).

der

(algebra) a primary division or the side of an equation in a primary division


transitiivinen

transitiivinen (nominative singular)
transitiiviset (nominative plural)
transitiivinen (accusative nominative singular)
transitiiviset (accusative nominative plural)
transitiivisen (accusative genitive singular)
transitiiviset (accusative genitive plural)
transitiivisen (genitive singular)
transitiivisten (genitive plural)
transitiivisien (genitive plural)
transitiivista (partitive singular)
transitiivisia (partitive plural)
transitiivisessa (inessive singular)
transitiivisissa (inessive plural)
transitiivisesta (elative singular)
transitiivisista (elative plural)
transitiiviseen (illative singular)
transitiivisiin (illative plural)
transitiivisella (adessive singular)
transitiivisilla (adessive plural)
transitiiviselta (ablative singular)
transitiivisilta (ablative plural)
transitiiviselle (allative singular)
transitiivisille (allative plural)
transitiivisena (essive singular)
transitiivisina (essive plural)
transitiiviseksi (singular translative)
transitiivisiksi (plural translative)
transitiivisetta (abessive singular)
transitiivisitta (abessive plural)
transitiivisin (instructive plural)
transitiivisine (comitative plural)
transitiiviseni (nominative singular)
transitiiviseni (nominative plural)
transitiiviseni (accusative nominative singular)
transitiiviseni (accusative nominative plural)
transitiiviseni (accusative genitive singular)
transitiiviseni (accusative genitive plural)
transitiiviseni (genitive singular)
transitiivisteni (genitive plural)
transitiivisieni (genitive plural)
transitiivistani (partitive singular)
transitiivisiani (partitive plural)
transitiivisessani (inessive singular)
transitiivisissani (inessive plural)
transitiivisestani (elative singular)
transitiivisistani (elative plural)
transitiiviseeni (illative singular)
transitiivisiini (illative plural)
transitiivisellani (adessive singular)
transitiivisillani (adessive plural)
transitiiviseltani (ablative singular)
transitiivisiltani (ablative plural)
transitiiviselleni (allative singular)
transitiivisilleni (allative plural)
transitiivisenani (essive singular)
transitiivisinani (essive plural)
transitiivisekseni (singular translative)
transitiivisikseni (plural translative)
transitiivisettani (abessive singular)
transitiivisittani (abessive plural)
transitiivisineni (comitative plural)
transitiivisesi (nominative singular)
transitiivisesi (nominative plural)
transitiivisesi (accusative nominative singular)
transitiivisesi (accusative nominative plural)
transitiivisesi (accusative genitive singular)
transitiivisesi (accusative genitive plural)
transitiivisesi (genitive singular)
transitiivistesi (genitive plural)
transitiivisiesi (genitive plural)
transitiivistasi (partitive singular)
transitiivisiasi (partitive plural)
transitiivisessasi (inessive singular)
transitiivisissasi (inessive plural)
transitiivisestasi (elative singular)
transitiivisistasi (elative plural)
transitiiviseesi (illative singular)
transitiivisiisi (illative plural)
transitiivisellasi (adessive singular)
transitiivisillasi (adessive plural)
transitiiviseltasi (ablative singular)
transitiivisiltasi (ablative plural)
transitiivisellesi (allative singular)
transitiivisillesi (allative plural)
transitiivisenasi (essive singular)
transitiivisinasi (essive plural)
transitiiviseksesi (singular translative)
transitiivisiksesi (plural translative)
transitiivisettasi (abessive singular)
transitiivisittasi (abessive plural)
transitiivisinesi (comitative plural)
transitiivisemme (nominative singular)
transitiivisemme (nominative plural)
transitiivisemme (accusative nominative singular)
transitiivisemme (accusative nominative plural)
transitiivisemme (accusative genitive singular)
transitiivisemme (accusative genitive plural)
transitiivisemme (genitive singular)
transitiivistemme (genitive plural)
transitiivisiemme (genitive plural)
transitiivistamme (partitive singular)
transitiivisiamme (partitive plural)
transitiivisessamme (inessive singular)
transitiivisissamme (inessive plural)
transitiivisestamme (elative singular)
transitiivisistamme (elative plural)
transitiiviseemme (illative singular)
transitiivisiimme (illative plural)
transitiivisellamme (adessive singular)
transitiivisillamme (adessive plural)
transitiiviseltamme (ablative singular)
transitiivisiltamme (ablative plural)
transitiivisellemme (allative singular)
transitiivisillemme (allative plural)
transitiivisenamme (essive singular)
transitiivisinamme (essive plural)
transitiiviseksemme (singular translative)
transitiivisiksemme (plural translative)
transitiivisettamme (abessive singular)
transitiivisittamme (abessive plural)
transitiivisinemme (comitative plural)
transitiivisenne (nominative singular)
transitiivisenne (nominative plural)
transitiivisenne (accusative nominative singular)
transitiivisenne (accusative nominative plural)
transitiivisenne (accusative genitive singular)
transitiivisenne (accusative genitive plural)
transitiivisenne (genitive singular)
transitiivistenne (genitive plural)
transitiivisienne (genitive plural)
transitiivistanne (partitive singular)
transitiivisianne (partitive plural)
transitiivisessanne (inessive singular)
transitiivisissanne (inessive plural)
transitiivisestanne (elative singular)
transitiivisistanne (elative plural)
transitiiviseenne (illative singular)
transitiivisiinne (illative plural)
transitiivisellanne (adessive singular)
transitiivisillanne (adessive plural)
transitiiviseltanne (ablative singular)
transitiivisiltanne (ablative plural)
transitiivisellenne (allative singular)
transitiivisillenne (allative plural)
transitiivisenanne (essive singular)
transitiivisinanne (essive plural)
transitiiviseksenne (singular translative)
transitiivisiksenne (plural translative)
transitiivisettanne (abessive singular)
transitiivisittanne (abessive plural)
transitiivisinenne (comitative plural)
transitiivisensa (nominative singular)
transitiivisensa (nominative plural)
transitiivisensa (accusative nominative singular)
transitiivisensa (accusative nominative plural)
transitiivisensa (accusative genitive singular)
transitiivisensa (accusative genitive plural)
transitiivisensa (genitive singular)
transitiivistensa (genitive plural)
transitiivisiensa (genitive plural)
transitiivistaan (partitive singular)
transitiivistansa (partitive singular)
transitiivisiaan (partitive plural)
transitiivisiansa (partitive plural)
transitiivisessaan (inessive singular)
transitiivisessansa (inessive singular)
transitiivisissaan (inessive plural)
transitiivisissansa (inessive plural)
transitiivisestaan (elative singular)
transitiivisestansa (elative singular)
transitiivisistaan (elative plural)
transitiivisistansa (elative plural)
transitiiviseensa (illative singular)
transitiivisiinsa (illative plural)
transitiivisellaan (adessive singular)
transitiivisellansa (adessive singular)
transitiivisillaan (adessive plural)
transitiivisillansa (adessive plural)
transitiiviseltaan (ablative singular)
transitiiviseltansa (ablative singular)
transitiivisiltaan (ablative plural)
transitiivisiltansa (ablative plural)
transitiiviselleen (allative singular)
transitiivisellensa (allative singular)
transitiivisilleen (allative plural)
transitiivisillensa (allative plural)
transitiivisenaan (essive singular)
transitiivisenansa (essive singular)
transitiivisinaan (essive plural)
transitiivisinansa (essive plural)
transitiivisekseen (singular translative)
transitiiviseksensa (singular translative)
transitiivisikseen (plural translative)
transitiivisiksensa (plural translative)
transitiivisettaan (abessive singular)
transitiivisettansa (abessive singular)
transitiivisittaan (abessive plural)
transitiivisittansa (abessive plural)
transitiivisineen (comitative plural)
transitiivisinensa (comitative plural)

Internationalism (see English transitive), ultimately from Latin trānsitīvus and adapted with the adjectival suffix + -inen.


rng

From ring, with i dropped to suggest the absence of the identity element.

(algebra) An algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element.


semiring

LL-Q1860 (eng)-Flame, not lame-semiring.wav

(algebra) An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.


配方

/pʰeɪ̯⁵¹ fɑŋ⁵⁵/

/pʰeɪ̯⁵¹ fɑ̃ɻ⁵⁵/

/pʰuːi̯³³ fɔːŋ⁵⁵/

/pʰᵘɔi³³ fɔŋ³³⁻³³⁵/

/pʰi⁵⁵ foŋ²⁴/

/pʰue²¹⁻⁴¹ hŋ̍⁴⁴/

/pʰue²¹⁻⁵³ hŋ̍⁴⁴/

/pʰue⁴¹⁻⁵⁵⁴ hŋ̍³³/

/pʰe¹¹⁻⁵³ hŋ̍⁴⁴/

/pʰue⁴¹⁻⁵⁵⁴ hɔŋ³³/

/pʰue²¹⁻⁵³ hɔŋ⁴⁴/

/pʰeɪ̯⁵¹ fɑŋ⁵⁵/

/pʰeɪ̯⁵¹ fɑ̃ɻ⁵⁵/

/pʰuːi̯³³ fɔːŋ⁵⁵/

/pʰᵘɔi³³ fɔŋ³³⁻³³⁵/

/pʰi⁵⁵ foŋ²⁴/

/pʰue²¹⁻⁴¹ hŋ̍⁴⁴/

/pʰue²¹⁻⁵³ hŋ̍⁴⁴/

/pʰue⁴¹⁻⁵⁵⁴ hŋ̍³³/

/pʰe¹¹⁻⁵³ hŋ̍⁴⁴/

/pʰue⁴¹⁻⁵⁵⁴ hɔŋ³³/

/pʰue²¹⁻⁵³ hɔŋ⁴⁴/


complete lattice

en-noun

complete lattice (plural complete lattices)

partially ordered set
partially ordered set

(algebra) A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).


lijf

nl-noun

lijf n (plural lijven, diminutive lijfje n)

lijven (plural)
lijfje (diminutive neuter)

Afrikaans: lyf

Berbice Creole Dutch: lifu

Negerhollands: lief, lif, lijf

From Middle Dutch lijf, from Old Dutch līf, from Proto-West Germanic *līb, from Proto-Germanic *lībą.

die een wijf trouwt om het schoon lijf, verliest het lijf en houdt het wijf


algebraically closed

The fundamental theorem of algebra states that the field of complex numbers, #92;mathbb#123;C#125;, is algebraically closed.

Definition. A field is algebraically closed when it satisfies the equivalent conditions in Proposition 4.1. #92;square
For instance, the fundamental theorem of algebra (Theorem III.8.11) states that #92;Complex is algebraically closed. The fields #92;R, #92;Q, #92;Z#95;p, are not algebraically closed, but #92;R and #92;Q can be embedded into the algebraically closed field #92;Complex.

2007, Pierre Antoine Grillet, Abstract Algebra, 2nd edition, Springer, page 166:

In many ways #92;Q#95;p is analogous to #92;R. For example, #92;R is not algebraically closed. The exercises below show that #92;Q#95;p is not algebraically closed. However, by adjoining i#61;#92;sqrt#123;-1#125; to #92;R, we get the field of complex numbers, which is algebraically closed. In contrast, the algebraic closure #92;overline#92;Q#95;p of #92;Q#95;p is not of finite degree over #92;Q. Moreover, #92;Complex is complete with respect to the extension of the usual norm of #92;R. Unfortunately, #92;overline#92;Q#95;p is not complete with respect to the extension of the p-adic norm. So after completing it (via the usual method of Cauchy sequences) we get a still larger field, usually denoted by #92;Complex#95;p, and it turns out to be both algebraically closed and complete.

2008, M. Ram Murty, Problems in Analytic Number Theory, 2nd edition, Springer, page 155:

Definition 5.3.14. Let F be a field. A field extension P is called an algebraic closure of F if P is algebraically closed and every proper subfield of P containing F is not algebraically closed.
In other words, the algebraic closure of F is the minimal algebraically closed field containing F.

2015, Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya Subbotin, An Introduction to Essential Algebraic Structures, Wiley, page 195:

(algebra, field theory, of a field) Which contains as an element every root of every nonconstant univariate polynomial definable over it (i.e., over said field).

algébriquement clos

that contains among its elements every root of every nonconstant single-variable polynomial definable over it

(algebra, group theory, of a group) Such that any finite set of equations and inequations has a solution.


polinomio

From poli- (“poly-, many”) + -nomio (“-nomial, nomial”).


(logic, algebra) the n-ary disjunction or join operator


iloczyn

iloczyn (nominative singular)
iloczyny (nominative plural)
iloczynu (genitive singular)
iloczynów (genitive plural)
iloczynowi (dative singular)
iloczynom (dative plural)
iloczyn (accusative singular)
iloczyny (accusative plural)
iloczynem (instrumental singular)
iloczynami (instrumental plural)
iloczynie (locative singular)
iloczynach (locative plural)
iloczynie (singular vocative)
iloczyny (plural vocative)


συνάρτηση

head

συνάρτηση • (synártisi) f (plural συναρτήσεις)

synártisi (romanization)
συναρτήσεις (plural)
συνάρτηση (nominative singular)
συναρτήσεις (nominative plural)
συνάρτησης (genitive singular)
συναρτήσεων (genitive plural)
συνάρτηση (accusative singular)
συναρτήσεις (accusative plural)
συνάρτηση (singular vocative)
συναρτήσεις (plural vocative)

el-decl-noun

Older or formal genitive singular: συναρτήσεως (synartíseos)

τριγωνομετρική συνάρτηση


isomorfismo

(biology, algebra, chemistry, sociology, computer science) isomorphism


isomorfismo

isomorfismos (plural)
isomorphismo (alternative obsolete)

(algebra) isomorphism (bijection f such that both f and its inverse f⁻¹ are homomorphisms)


trinomi

trinomi (nominative singular)
trinomit (nominative plural)
trinomi (accusative nominative singular)
trinomit (accusative nominative plural)
trinomin (accusative genitive singular)
trinomit (accusative genitive plural)
trinomin (genitive singular)
trinomien (genitive plural)
trinomia (partitive singular)
trinomeja (partitive plural)
trinomissa (inessive singular)
trinomeissa (inessive plural)
trinomista (elative singular)
trinomeista (elative plural)
trinomiin (illative singular)
trinomeihin (illative plural)
trinomilla (adessive singular)
trinomeilla (adessive plural)
trinomilta (ablative singular)
trinomeilta (ablative plural)
trinomille (allative singular)
trinomeille (allative plural)
trinomina (essive singular)
trinomeina (essive plural)
trinomiksi (singular translative)
trinomeiksi (plural translative)
trinomitta (abessive singular)
trinomeitta (abessive plural)
trinomein (instructive plural)
See the possessive forms below. (comitative)
trinomini (nominative singular)
trinomini (nominative plural)
trinomini (accusative nominative singular)
trinomini (accusative nominative plural)
trinomini (accusative genitive singular)
trinomini (accusative genitive plural)
trinomini (genitive singular)
trinomieni (genitive plural)
trinomiani (partitive singular)
trinomejani (partitive plural)
trinomissani (inessive singular)
trinomeissani (inessive plural)
trinomistani (elative singular)
trinomeistani (elative plural)
trinomiini (illative singular)
trinomeihini (illative plural)
trinomillani (adessive singular)
trinomeillani (adessive plural)
trinomiltani (ablative singular)
trinomeiltani (ablative plural)
trinomilleni (allative singular)
trinomeilleni (allative plural)
trinominani (essive singular)
trinomeinani (essive plural)
trinomikseni (singular translative)
trinomeikseni (plural translative)
trinomittani (abessive singular)
trinomeittani (abessive plural)
trinomeineni (comitative plural)
trinomisi (nominative singular)
trinomisi (nominative plural)
trinomisi (accusative nominative singular)
trinomisi (accusative nominative plural)
trinomisi (accusative genitive singular)
trinomisi (accusative genitive plural)
trinomisi (genitive singular)
trinomiesi (genitive plural)
trinomiasi (partitive singular)
trinomejasi (partitive plural)
trinomissasi (inessive singular)
trinomeissasi (inessive plural)
trinomistasi (elative singular)
trinomeistasi (elative plural)
trinomiisi (illative singular)
trinomeihisi (illative plural)
trinomillasi (adessive singular)
trinomeillasi (adessive plural)
trinomiltasi (ablative singular)
trinomeiltasi (ablative plural)
trinomillesi (allative singular)
trinomeillesi (allative plural)
trinominasi (essive singular)
trinomeinasi (essive plural)
trinomiksesi (singular translative)
trinomeiksesi (plural translative)
trinomittasi (abessive singular)
trinomeittasi (abessive plural)
trinomeinesi (comitative plural)
trinomimme (nominative singular)
trinomimme (nominative plural)
trinomimme (accusative nominative singular)
trinomimme (accusative nominative plural)
trinomimme (accusative genitive singular)
trinomimme (accusative genitive plural)
trinomimme (genitive singular)
trinomiemme (genitive plural)
trinomiamme (partitive singular)
trinomejamme (partitive plural)
trinomissamme (inessive singular)
trinomeissamme (inessive plural)
trinomistamme (elative singular)
trinomeistamme (elative plural)
trinomiimme (illative singular)
trinomeihimme (illative plural)
trinomillamme (adessive singular)
trinomeillamme (adessive plural)
trinomiltamme (ablative singular)
trinomeiltamme (ablative plural)
trinomillemme (allative singular)
trinomeillemme (allative plural)
trinominamme (essive singular)
trinomeinamme (essive plural)
trinomiksemme (singular translative)
trinomeiksemme (plural translative)
trinomittamme (abessive singular)
trinomeittamme (abessive plural)
trinomeinemme (comitative plural)
trinominne (nominative singular)
trinominne (nominative plural)
trinominne (accusative nominative singular)
trinominne (accusative nominative plural)
trinominne (accusative genitive singular)
trinominne (accusative genitive plural)
trinominne (genitive singular)
trinomienne (genitive plural)
trinomianne (partitive singular)
trinomejanne (partitive plural)
trinomissanne (inessive singular)
trinomeissanne (inessive plural)
trinomistanne (elative singular)
trinomeistanne (elative plural)
trinomiinne (illative singular)
trinomeihinne (illative plural)
trinomillanne (adessive singular)
trinomeillanne (adessive plural)
trinomiltanne (ablative singular)
trinomeiltanne (ablative plural)
trinomillenne (allative singular)
trinomeillenne (allative plural)
trinominanne (essive singular)
trinomeinanne (essive plural)
trinomiksenne (singular translative)
trinomeiksenne (plural translative)
trinomittanne (abessive singular)
trinomeittanne (abessive plural)
trinomeinenne (comitative plural)
trinominsa (nominative singular)
trinominsa (nominative plural)
trinominsa (accusative nominative singular)
trinominsa (accusative nominative plural)
trinominsa (accusative genitive singular)
trinominsa (accusative genitive plural)
trinominsa (genitive singular)
trinomiensa (genitive plural)
trinomiaan (partitive singular)
trinomiansa (partitive singular)
trinomejaan (partitive plural)
trinomejansa (partitive plural)
trinomissaan (inessive singular)
trinomissansa (inessive singular)
trinomeissaan (inessive plural)
trinomeissansa (inessive plural)
trinomistaan (elative singular)
trinomistansa (elative singular)
trinomeistaan (elative plural)
trinomeistansa (elative plural)
trinomiinsa (illative singular)
trinomeihinsa (illative plural)
trinomillaan (adessive singular)
trinomillansa (adessive singular)
trinomeillaan (adessive plural)
trinomeillansa (adessive plural)
trinomiltaan (ablative singular)
trinomiltansa (ablative singular)
trinomeiltaan (ablative plural)
trinomeiltansa (ablative plural)
trinomilleen (allative singular)
trinomillensa (allative singular)
trinomeilleen (allative plural)
trinomeillensa (allative plural)
trinominaan (essive singular)
trinominansa (essive singular)
trinomeinaan (essive plural)
trinomeinansa (essive plural)
trinomikseen (singular translative)
trinomiksensa (singular translative)
trinomeikseen (plural translative)
trinomeiksensa (plural translative)
trinomittaan (abessive singular)
trinomittansa (abessive singular)
trinomeittaan (abessive plural)
trinomeittansa (abessive plural)
trinomeineen (comitative plural)
trinomeinensa (comitative plural)

Internationalism (see German Trinom). Contains the suffix -nomi.


pierścień

pl-noun

pierścień m inan (diminutive pierścionek)

pierścionek (diminutive)
pierścień (nominative singular)
pierścienie (nominative plural)
pierścienia (genitive singular)
pierścieni (genitive plural)
pierścieniowi (dative singular)
pierścieniom (dative plural)
pierścień (accusative singular)
pierścienie (accusative plural)
pierścieniem (instrumental singular)
pierścieniami (instrumental plural)
pierścieniu (locative singular)
pierścieniach (locative plural)
pierścieniu (singular vocative)
pierścienie (plural vocative)
piestrzeń (alternative)
przestrzeń (alternative)
pieszczeń (alternative)

/ˈpjɛr.ɕt͡ɕɛɲ/

Inherited from Old Polish pierścień, pierzcień, pierzścień, pirścień, from Proto-Slavic *pьrsty (“finger ring; ring”).


quotient space

Thus if #92;mathfrak#123;D#125; is an arbitrary decomposition of a space X into mutually disjoint subsets, then the corresponding quotient space is obtained by 'shrinking' or 'identifying' each member of #92;mathfrak#123;D#125; to a single point. For this reason, the quotient spaces are sometimes called identification spaces and quotient maps as^([sic]) identification maps.

1983, K. D. Joshi, Introduction to General Topology, New Age International, page 129:

1989, unnamed translator, Nicolas Bourbaki, Elements of Mathematics: General Topology: Chapters 1-4, [1971, N. Bourbaki, Éléments de Mathématique: Topologie Générale 1-4, Masson], Springer, page 110,
PROPOSITION 6. Every quotient space of a connected space is connected.

The quotient space obtained from such a relation is called extended Reeb (ER) quotient space. Moreover, the ER quotient space, which is an abstract sub-space of M* and is independent from the geometry, may be represented as a traditional graph, which is called the extended Reeb graph (ERG).

2004, Silvia Biasotti, Bianca Falcidieno, Michela Spagnuolo, “6: Surface Shape Understanding Based on Extended Reeb Graphs”, in Sanjay Rana, editor, Topological Data Structures for Surfaces: An Introduction to Geographical Information Science, Wiley, page 96:

equivalence relation
equivalence relation

(topology and algebra) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation.

identification space

space composed of points equivalent to each other in some relation


groupoid

LL-Q1860 (eng)-Flame, not lame-groupoid.wav

(algebra) A magma: a set with a total binary operation.

[...] A category in which every morphism is an isomorphism is called a groupoid.
 This means that a group is a groupoid with only one object. [...]

(algebra and category theory) A set with a partial binary operation that is associative and has identities and inverses.

groupoïde

a set with a partial binary operation...


nonassociative

LL-Q1860 (eng)-Flame, not lame-nonassociative.wav

This book has been written about associative algebras. However, there is an analogous “PI-theory” that can be carried out for nonassociative rings, which is outlined here.

1980, Lewis Halle Rowen, Polynomial Identities in Ring Theory, Academic Press, page 327:

1996, E. G. Goodaire, E. Jespers, C. Polcino Milies, Alternative Loop Rings, Elsevier, page 5,
Two important functions in nonassociative ring theory are the commutator and associator which, for elements a, b, c in a ring are defined respectively by
[a, b] = ab − ba
and
[a, b, c] = a(bc) − (ab)c.

2012, W. B. Vasantha Kandasamy, Florentin Smarandache, Non Associative Algebraic Structures Using Finite Complex Numbers, Zip Publishing, page 5,
Authors in this book for the first time have constructed nonassociative structures like groupoids, quasi loops, non associative semirings and rings using finite complex modulo integers.

(algebra, of an algebraic structure) Whose multiplication operation is not assumed to be associative for all elements.


normalizer

LL-Q1860 (eng)-Flame, not lame-normalizer.wav

(algebra) The subset of elements of some group which leave some given subset invariant when conjugating it.

Normalisator

set of group elements leaving a given subset invariant under conjugation


commutant

LL-Q1860 (eng)-Flame, not lame-commutant.wav

The basic mathematical entity to be used here in elucidating the different senses of superselection rules is a von Neumann algebra #123;#92;mathfrak#123;M

2008 September 27, John Earman, “Superselection Rules for Philosophers”, in Erkenntnis, volume 69, number 3, →DOI:

(algebra, logic) The subset of all elements of a semigroup that commute with the elements of a given subset


locally indicable

(algebra, of a group) Such that each of its nontrivial, finitely generated subgroups maps homomorphically onto ℤ.


alternative algebra

en-noun

alternative algebra (plural alternative algebras)

(algebra) An algebra such that every subalgebra generated by two elements is associative.


power-associative algebra

power-associative algebra (plural power-associative algebras)

(algebra) An algebra such that every subalgebra generated by one element is associative.


polynomi

polynomi (nominative singular)
polynomit (nominative plural)
polynomi (accusative nominative singular)
polynomit (accusative nominative plural)
polynomin (accusative genitive singular)
polynomit (accusative genitive plural)
polynomin (genitive singular)
polynomien (genitive plural)
polynomia (partitive singular)
polynomeja (partitive plural)
polynomissa (inessive singular)
polynomeissa (inessive plural)
polynomista (elative singular)
polynomeista (elative plural)
polynomiin (illative singular)
polynomeihin (illative plural)
polynomilla (adessive singular)
polynomeilla (adessive plural)
polynomilta (ablative singular)
polynomeilta (ablative plural)
polynomille (allative singular)
polynomeille (allative plural)
polynomina (essive singular)
polynomeina (essive plural)
polynomiksi (singular translative)
polynomeiksi (plural translative)
polynomitta (abessive singular)
polynomeitta (abessive plural)
polynomein (instructive plural)
See the possessive forms below. (comitative)
polynomini (nominative singular)
polynomini (nominative plural)
polynomini (accusative nominative singular)
polynomini (accusative nominative plural)
polynomini (accusative genitive singular)
polynomini (accusative genitive plural)
polynomini (genitive singular)
polynomieni (genitive plural)
polynomiani (partitive singular)
polynomejani (partitive plural)
polynomissani (inessive singular)
polynomeissani (inessive plural)
polynomistani (elative singular)
polynomeistani (elative plural)
polynomiini (illative singular)
polynomeihini (illative plural)
polynomillani (adessive singular)
polynomeillani (adessive plural)
polynomiltani (ablative singular)
polynomeiltani (ablative plural)
polynomilleni (allative singular)
polynomeilleni (allative plural)
polynominani (essive singular)
polynomeinani (essive plural)
polynomikseni (singular translative)
polynomeikseni (plural translative)
polynomittani (abessive singular)
polynomeittani (abessive plural)
polynomeineni (comitative plural)
polynomisi (nominative singular)
polynomisi (nominative plural)
polynomisi (accusative nominative singular)
polynomisi (accusative nominative plural)
polynomisi (accusative genitive singular)
polynomisi (accusative genitive plural)
polynomisi (genitive singular)
polynomiesi (genitive plural)
polynomiasi (partitive singular)
polynomejasi (partitive plural)
polynomissasi (inessive singular)
polynomeissasi (inessive plural)
polynomistasi (elative singular)
polynomeistasi (elative plural)
polynomiisi (illative singular)
polynomeihisi (illative plural)
polynomillasi (adessive singular)
polynomeillasi (adessive plural)
polynomiltasi (ablative singular)
polynomeiltasi (ablative plural)
polynomillesi (allative singular)
polynomeillesi (allative plural)
polynominasi (essive singular)
polynomeinasi (essive plural)
polynomiksesi (singular translative)
polynomeiksesi (plural translative)
polynomittasi (abessive singular)
polynomeittasi (abessive plural)
polynomeinesi (comitative plural)
polynomimme (nominative singular)
polynomimme (nominative plural)
polynomimme (accusative nominative singular)
polynomimme (accusative nominative plural)
polynomimme (accusative genitive singular)
polynomimme (accusative genitive plural)
polynomimme (genitive singular)
polynomiemme (genitive plural)
polynomiamme (partitive singular)
polynomejamme (partitive plural)
polynomissamme (inessive singular)
polynomeissamme (inessive plural)
polynomistamme (elative singular)
polynomeistamme (elative plural)
polynomiimme (illative singular)
polynomeihimme (illative plural)
polynomillamme (adessive singular)
polynomeillamme (adessive plural)
polynomiltamme (ablative singular)
polynomeiltamme (ablative plural)
polynomillemme (allative singular)
polynomeillemme (allative plural)
polynominamme (essive singular)
polynomeinamme (essive plural)
polynomiksemme (singular translative)
polynomeiksemme (plural translative)
polynomittamme (abessive singular)
polynomeittamme (abessive plural)
polynomeinemme (comitative plural)
polynominne (nominative singular)
polynominne (nominative plural)
polynominne (accusative nominative singular)
polynominne (accusative nominative plural)
polynominne (accusative genitive singular)
polynominne (accusative genitive plural)
polynominne (genitive singular)
polynomienne (genitive plural)
polynomianne (partitive singular)
polynomejanne (partitive plural)
polynomissanne (inessive singular)
polynomeissanne (inessive plural)
polynomistanne (elative singular)
polynomeistanne (elative plural)
polynomiinne (illative singular)
polynomeihinne (illative plural)
polynomillanne (adessive singular)
polynomeillanne (adessive plural)
polynomiltanne (ablative singular)
polynomeiltanne (ablative plural)
polynomillenne (allative singular)
polynomeillenne (allative plural)
polynominanne (essive singular)
polynomeinanne (essive plural)
polynomiksenne (singular translative)
polynomeiksenne (plural translative)
polynomittanne (abessive singular)
polynomeittanne (abessive plural)
polynomeinenne (comitative plural)
polynominsa (nominative singular)
polynominsa (nominative plural)
polynominsa (accusative nominative singular)
polynominsa (accusative nominative plural)
polynominsa (accusative genitive singular)
polynominsa (accusative genitive plural)
polynominsa (genitive singular)
polynomiensa (genitive plural)
polynomiaan (partitive singular)
polynomiansa (partitive singular)
polynomejaan (partitive plural)
polynomejansa (partitive plural)
polynomissaan (inessive singular)
polynomissansa (inessive singular)
polynomeissaan (inessive plural)
polynomeissansa (inessive plural)
polynomistaan (elative singular)
polynomistansa (elative singular)
polynomeistaan (elative plural)
polynomeistansa (elative plural)
polynomiinsa (illative singular)
polynomeihinsa (illative plural)
polynomillaan (adessive singular)
polynomillansa (adessive singular)
polynomeillaan (adessive plural)
polynomeillansa (adessive plural)
polynomiltaan (ablative singular)
polynomiltansa (ablative singular)
polynomeiltaan (ablative plural)
polynomeiltansa (ablative plural)
polynomilleen (allative singular)
polynomillensa (allative singular)
polynomeilleen (allative plural)
polynomeillensa (allative plural)
polynominaan (essive singular)
polynominansa (essive singular)
polynomeinaan (essive plural)
polynomeinansa (essive plural)
polynomikseen (singular translative)
polynomiksensa (singular translative)
polynomeikseen (plural translative)
polynomeiksensa (plural translative)
polynomittaan (abessive singular)
polynomittansa (abessive singular)
polynomeittaan (abessive plural)
polynomeittansa (abessive plural)
polynomeineen (comitative plural)
polynomeinensa (comitative plural)

Internationalism (see German Polynom). Contains the suffix -nomi.


laventaa

lavennan (first-person indicative present singular)
en lavenna (first-person indicative negative present singular)
olen laventanut (first-person indicative perfect singular)
en ole laventanut (first-person indicative negative perfect singular)
lavennat (indicative present second-person singular)
et lavenna (indicative negative present second-person singular)
olet laventanut (indicative perfect second-person singular)
et ole laventanut (indicative negative perfect second-person singular)
laventaa (indicative present singular third-person)
ei lavenna (indicative negative present singular third-person)
on laventanut (indicative perfect singular third-person)
ei ole laventanut (indicative negative perfect singular third-person)
lavennamme (first-person indicative plural present)
emme lavenna (first-person indicative negative plural present)
olemme laventaneet (first-person indicative perfect plural)
emme ole laventaneet (first-person indicative negative perfect plural)
lavennatte (indicative plural present second-person)
ette lavenna (indicative negative plural present second-person)
olette laventaneet (indicative perfect plural second-person)
ette ole laventaneet (indicative negative perfect plural second-person)
laventavat (indicative plural present third-person)
eivät lavenna (indicative negative plural present third-person)
ovat laventaneet (indicative perfect plural third-person)
eivät ole laventaneet (indicative negative perfect plural third-person)
lavennetaan (indicative passive present)
ei lavenneta (indicative negative passive present)
on lavennettu (indicative passive perfect)
ei ole lavennettu (indicative negative passive perfect)
lavensin (first-person indicative past singular)
en laventanut (first-person indicative negative past singular)
olin laventanut (first-person indicative pluperfect singular)
en ollut laventanut (first-person indicative negative pluperfect singular)
lavensit (indicative past second-person singular)
et laventanut (indicative negative past second-person singular)
olit laventanut (indicative pluperfect second-person singular)
et ollut laventanut (indicative negative pluperfect second-person singular)
lavensi (indicative past singular third-person)
ei laventanut (indicative negative past singular third-person)
oli laventanut (indicative pluperfect singular third-person)
ei ollut laventanut (indicative negative pluperfect singular third-person)
lavensimme (first-person indicative past plural)
emme laventaneet (first-person indicative negative past plural)
olimme laventaneet (first-person indicative pluperfect plural)
emme olleet laventaneet (first-person indicative negative pluperfect plural)
lavensitte (indicative past plural second-person)
ette laventaneet (indicative negative past plural second-person)
olitte laventaneet (indicative pluperfect plural second-person)
ette olleet laventaneet (indicative negative pluperfect plural second-person)
lavensivat (indicative past plural third-person)
eivät laventaneet (indicative negative past plural third-person)
olivat laventaneet (indicative pluperfect plural third-person)
eivät olleet laventaneet (indicative negative pluperfect plural third-person)
lavennettiin (indicative passive past)
ei lavennettu (indicative negative passive past)
oli lavennettu (indicative passive pluperfect)
ei ollut lavennettu (indicative negative passive pluperfect)
laventaisin (conditional first-person present singular)
en laventaisi (conditional first-person negative present singular)
olisin laventanut (conditional first-person perfect singular)
en olisi laventanut (conditional first-person negative perfect singular)
laventaisit (conditional present second-person singular)
et laventaisi (conditional negative present second-person singular)
olisit laventanut (conditional perfect second-person singular)
et olisi laventanut (conditional negative perfect second-person singular)
laventaisi (conditional present singular third-person)
ei laventaisi (conditional negative present singular third-person)
olisi laventanut (conditional perfect singular third-person)
ei olisi laventanut (conditional negative perfect singular third-person)
laventaisimme (conditional first-person plural present)
emme laventaisi (conditional first-person negative plural present)
olisimme laventaneet (conditional first-person perfect plural)
emme olisi laventaneet (conditional first-person negative perfect plural)
laventaisitte (conditional plural present second-person)
ette laventaisi (conditional negative plural present second-person)
olisitte laventaneet (conditional perfect plural second-person)
ette olisi laventaneet (conditional negative perfect plural second-person)
laventaisivat (conditional plural present third-person)
eivät laventaisi (conditional negative plural present third-person)
olisivat laventaneet (conditional perfect plural third-person)
eivät olisi laventaneet (conditional negative perfect plural third-person)
lavennettaisiin (conditional passive present)
ei lavennettaisi (conditional negative passive present)
olisi lavennettu (conditional passive perfect)
ei olisi lavennettu (conditional negative passive perfect)
lavenna (imperative present second-person singular)
älä lavenna (imperative negative present second-person singular)
laventakoon (imperative present singular third-person)
älköön laventako (imperative negative present singular third-person)
olkoon laventanut (imperative perfect singular third-person)
älköön olko laventanut (imperative negative perfect singular third-person)
laventakaamme (first-person imperative plural present)
älkäämme laventako (first-person imperative negative plural present)
laventakaa (imperative plural present second-person)
älkää laventako (imperative negative plural present second-person)
laventakoot (imperative plural present third-person)
älkööt laventako (imperative negative plural present third-person)
olkoot laventaneet (imperative perfect plural third-person)
älkööt olko laventaneet (imperative negative perfect plural third-person)
lavennettakoon (imperative passive present)
älköön lavennettako (imperative negative passive present)
olkoon lavennettu (imperative passive perfect)
älköön olko lavennettu (imperative negative passive perfect)
laventanen (first-person potential present singular)
en laventane (first-person negative potential present singular)
lienen laventanut (first-person perfect potential singular)
en liene laventanut (first-person negative perfect potential singular)
laventanet (potential present second-person singular)
et laventane (negative potential present second-person singular)
lienet laventanut (perfect potential second-person singular)
et liene laventanut (negative perfect potential second-person singular)
laventanee (potential present singular third-person)
ei laventane (negative potential present singular third-person)
lienee laventanut (perfect potential singular third-person)
ei liene laventanut (negative perfect potential singular third-person)
laventanemme (first-person plural potential present)
emme laventane (first-person negative plural potential present)
lienemme laventaneet (first-person perfect plural potential)
emme liene laventaneet (first-person negative perfect plural potential)
laventanette (plural potential present second-person)
ette laventane (negative plural potential present second-person)
lienette laventaneet (perfect plural potential second-person)
ette liene laventaneet (negative perfect plural potential second-person)
laventanevat (plural potential present third-person)
eivät laventane (negative plural potential present third-person)
lienevät laventaneet (perfect plural potential third-person)
eivät liene laventaneet (negative perfect plural potential third-person)
lavennettaneen (passive potential present)
ei lavennettane (negative passive potential present)
lienee lavennettu (passive perfect potential)
ei liene lavennettu (negative passive perfect potential)
laventaa (infinitive infinitive-i)
laventava (active participle present)
lavennettava (participle passive present)
laventaakseni (first-person possessive singular)
laventaaksemme (first-person plural possessive)
laventaaksesi (possessive second-person singular)
laventaaksenne (plural possessive second-person)
laventaakseen (possessive third-person)
laventaaksensa (possessive third-person)
laventanut (infinitive-i-long past)
lavennettu (infinitive-i-long past)
laventaessa (inessive second-person)
lavennettaessa (inessive second-person)
laventama (agent)
laventaessani (first-person possessive singular)
laventaessamme (first-person plural possessive)
laventaessasi (possessive second-person singular)
laventaessanne (plural possessive second-person)
laventaessaan (possessive third-person)
laventaessansa (possessive third-person)
laventamaton (inessive negative second-person)
laventaen (instructive second-person)
laventamassa (inessive third-person)
laventamasta (elative third-person)
laventamaan (illative third-person)
laventamalla (adessive third-person)
laventamatta (abessive third-person)
laventaman (instructive third-person)
lavennettaman (instructive third-person)
laventaminen (fourth-person noun-from-verb)
laventamaisillani (first-person possessive singular)
laventamaisillamme (first-person plural possessive)
laventamaisillasi (possessive second-person singular)
laventamaisillanne (plural possessive second-person)
laventamaisillaan (possessive third-person)
laventamaisillansa (possessive third-person)

/ˈlɑʋentɑːˣ/

[ˈlɑ̝ʋe̞n̪t̪ɑ̝ː(ʔ)]

(transitive, algebra) to expand (multiply both the numerator and the denominator of a fraction by the same natural number yielding a fraction of equal value)


eksakti jono

eksakti jono (nominative singular)
eksaktit jonot (nominative plural)
eksakti jono (accusative nominative singular)
eksaktit jonot (accusative nominative plural)
eksaktin jonon (accusative genitive singular)
eksaktit jonot (accusative genitive plural)
eksaktin jonon (genitive singular)
eksaktien jonojen (genitive plural)
eksaktia jonoa (partitive singular)
eksakteja jonoja (partitive plural)
eksaktissa jonossa (inessive singular)
eksakteissa jonoissa (inessive plural)
eksaktista jonosta (elative singular)
eksakteista jonoista (elative plural)
eksaktiin jonoon (illative singular)
eksakteihin jonoihin (illative plural)
eksaktilla jonolla (adessive singular)
eksakteilla jonoilla (adessive plural)
eksaktilta jonolta (ablative singular)
eksakteilta jonoilta (ablative plural)
eksaktille jonolle (allative singular)
eksakteille jonoille (allative plural)
eksaktina jonona (essive singular)
eksakteina jonoina (essive plural)
eksaktiksi jonoksi (singular translative)
eksakteiksi jonoiksi (plural translative)
eksaktitta jonotta (abessive singular)
eksakteitta jonoitta (abessive plural)
eksaktein jonoin (instructive plural)
See the possessive forms below. (comitative)
eksakti jononi (nominative singular)
eksaktit jononi (nominative plural)
eksakti jononi (accusative nominative singular)
eksaktit jononi (accusative nominative plural)
eksaktin jononi (accusative genitive singular)
eksaktit jononi (accusative genitive plural)
eksaktin jononi (genitive singular)
eksaktien jonojeni (genitive plural)
eksaktia jonoani (partitive singular)
eksakteja jonojani (partitive plural)
eksaktissa jonossani (inessive singular)
eksakteissa jonoissani (inessive plural)
eksaktista jonostani (elative singular)
eksakteista jonoistani (elative plural)
eksaktiin jonooni (illative singular)
eksakteihin jonoihini (illative plural)
eksaktilla jonollani (adessive singular)
eksakteilla jonoillani (adessive plural)
eksaktilta jonoltani (ablative singular)
eksakteilta jonoiltani (ablative plural)
eksaktille jonolleni (allative singular)
eksakteille jonoilleni (allative plural)
eksaktina jononani (essive singular)
eksakteina jonoinani (essive plural)
eksaktiksi jonokseni (singular translative)
eksakteiksi jonoikseni (plural translative)
eksaktitta jonottani (abessive singular)
eksakteitta jonoittani (abessive plural)
eksakteine jonoineni (comitative plural)
eksakti jonosi (nominative singular)
eksaktit jonosi (nominative plural)
eksakti jonosi (accusative nominative singular)
eksaktit jonosi (accusative nominative plural)
eksaktin jonosi (accusative genitive singular)
eksaktit jonosi (accusative genitive plural)
eksaktin jonosi (genitive singular)
eksaktien jonojesi (genitive plural)
eksaktia jonoasi (partitive singular)
eksakteja jonojasi (partitive plural)
eksaktissa jonossasi (inessive singular)
eksakteissa jonoissasi (inessive plural)
eksaktista jonostasi (elative singular)
eksakteista jonoistasi (elative plural)
eksaktiin jonoosi (illative singular)
eksakteihin jonoihisi (illative plural)
eksaktilla jonollasi (adessive singular)
eksakteilla jonoillasi (adessive plural)
eksaktilta jonoltasi (ablative singular)
eksakteilta jonoiltasi (ablative plural)
eksaktille jonollesi (allative singular)
eksakteille jonoillesi (allative plural)
eksaktina jononasi (essive singular)
eksakteina jonoinasi (essive plural)
eksaktiksi jonoksesi (singular translative)
eksakteiksi jonoiksesi (plural translative)
eksaktitta jonottasi (abessive singular)
eksakteitta jonoittasi (abessive plural)
eksakteine jonoinesi (comitative plural)
eksakti jonomme (nominative singular)
eksaktit jonomme (nominative plural)
eksakti jonomme (accusative nominative singular)
eksaktit jonomme (accusative nominative plural)
eksaktin jonomme (accusative genitive singular)
eksaktit jonomme (accusative genitive plural)
eksaktin jonomme (genitive singular)
eksaktien jonojemme (genitive plural)
eksaktia jonoamme (partitive singular)
eksakteja jonojamme (partitive plural)
eksaktissa jonossamme (inessive singular)
eksakteissa jonoissamme (inessive plural)
eksaktista jonostamme (elative singular)
eksakteista jonoistamme (elative plural)
eksaktiin jonoomme (illative singular)
eksakteihin jonoihimme (illative plural)
eksaktilla jonollamme (adessive singular)
eksakteilla jonoillamme (adessive plural)
eksaktilta jonoltamme (ablative singular)
eksakteilta jonoiltamme (ablative plural)
eksaktille jonollemme (allative singular)
eksakteille jonoillemme (allative plural)
eksaktina jononamme (essive singular)
eksakteina jonoinamme (essive plural)
eksaktiksi jonoksemme (singular translative)
eksakteiksi jonoiksemme (plural translative)
eksaktitta jonottamme (abessive singular)
eksakteitta jonoittamme (abessive plural)
eksakteine jonoinemme (comitative plural)
eksakti jononne (nominative singular)
eksaktit jononne (nominative plural)
eksakti jononne (accusative nominative singular)
eksaktit jononne (accusative nominative plural)
eksaktin jononne (accusative genitive singular)
eksaktit jononne (accusative genitive plural)
eksaktin jononne (genitive singular)
eksaktien jonojenne (genitive plural)
eksaktia jonoanne (partitive singular)
eksakteja jonojanne (partitive plural)
eksaktissa jonossanne (inessive singular)
eksakteissa jonoissanne (inessive plural)
eksaktista jonostanne (elative singular)
eksakteista jonoistanne (elative plural)
eksaktiin jonoonne (illative singular)
eksakteihin jonoihinne (illative plural)
eksaktilla jonollanne (adessive singular)
eksakteilla jonoillanne (adessive plural)
eksaktilta jonoltanne (ablative singular)
eksakteilta jonoiltanne (ablative plural)
eksaktille jonollenne (allative singular)
eksakteille jonoillenne (allative plural)
eksaktina jononanne (essive singular)
eksakteina jonoinanne (essive plural)
eksaktiksi jonoksenne (singular translative)
eksakteiksi jonoiksenne (plural translative)
eksaktitta jonottanne (abessive singular)
eksakteitta jonoittanne (abessive plural)
eksakteine jonoinenne (comitative plural)
eksakti jononsa (nominative singular)
eksaktit jononsa (nominative plural)
eksakti jononsa (accusative nominative singular)
eksaktit jononsa (accusative nominative plural)
eksaktin jononsa (accusative genitive singular)
eksaktit jononsa (accusative genitive plural)
eksaktin jononsa (genitive singular)
eksaktien jonojensa (genitive plural)
eksaktia jonoaan (partitive singular)
eksaktia jonoansa (partitive singular)
eksakteja jonojaan (partitive plural)
eksakteja jonojansa (partitive plural)
eksaktissa jonossaan (inessive singular)
eksaktissa jonossansa (inessive singular)
eksakteissa jonoissaan (inessive plural)
eksakteissa jonoissansa (inessive plural)
eksaktista jonostaan (elative singular)
eksaktista jonostansa (elative singular)
eksakteista jonoistaan (elative plural)
eksakteista jonoistansa (elative plural)
eksaktiin jonoonsa (illative singular)
eksakteihin jonoihinsa (illative plural)
eksaktilla jonollaan (adessive singular)
eksaktilla jonollansa (adessive singular)
eksakteilla jonoillaan (adessive plural)
eksakteilla jonoillansa (adessive plural)
eksaktilta jonoltaan (ablative singular)
eksaktilta jonoltansa (ablative singular)
eksakteilta jonoiltaan (ablative plural)
eksakteilta jonoiltansa (ablative plural)
eksaktille jonolleen (allative singular)
eksaktille jonollensa (allative singular)
eksakteille jonoilleen (allative plural)
eksakteille jonoillensa (allative plural)
eksaktina jononaan (essive singular)
eksaktina jononansa (essive singular)
eksakteina jonoinaan (essive plural)
eksakteina jonoinansa (essive plural)
eksaktiksi jonokseen (singular translative)
eksaktiksi jonoksensa (singular translative)
eksakteiksi jonoikseen (plural translative)
eksakteiksi jonoiksensa (plural translative)
eksaktitta jonottaan (abessive singular)
eksaktitta jonottansa (abessive singular)
eksakteitta jonoittaan (abessive plural)
eksakteitta jonoittansa (abessive plural)
eksakteine jonoineen (comitative plural)
eksakteine jonoinensa (comitative plural)


vektoriavaruus

vektoriavaruus (nominative singular)
vektoriavaruudet (nominative plural)
vektoriavaruus (accusative nominative singular)
vektoriavaruudet (accusative nominative plural)
vektoriavaruuden (accusative genitive singular)
vektoriavaruudet (accusative genitive plural)
vektoriavaruuden (genitive singular)
vektoriavaruuksien (genitive plural)
vektoriavaruutta (partitive singular)
vektoriavaruuksia (partitive plural)
vektoriavaruudessa (inessive singular)
vektoriavaruuksissa (inessive plural)
vektoriavaruudesta (elative singular)
vektoriavaruuksista (elative plural)
vektoriavaruuteen (illative singular)
vektoriavaruuksiin (illative plural)
vektoriavaruudella (adessive singular)
vektoriavaruuksilla (adessive plural)
vektoriavaruudelta (ablative singular)
vektoriavaruuksilta (ablative plural)
vektoriavaruudelle (allative singular)
vektoriavaruuksille (allative plural)
vektoriavaruutena (essive singular)
vektoriavaruuksina (essive plural)
vektoriavaruudeksi (singular translative)
vektoriavaruuksiksi (plural translative)
vektoriavaruudetta (abessive singular)
vektoriavaruuksitta (abessive plural)
vektoriavaruuksin (instructive plural)
See the possessive forms below. (comitative)
vektoriavaruuteni (nominative singular)
vektoriavaruuteni (nominative plural)
vektoriavaruuteni (accusative nominative singular)
vektoriavaruuteni (accusative nominative plural)
vektoriavaruuteni (accusative genitive singular)
vektoriavaruuteni (accusative genitive plural)
vektoriavaruuteni (genitive singular)
vektoriavaruuksieni (genitive plural)
vektoriavaruuttani (partitive singular)
vektoriavaruuksiani (partitive plural)
vektoriavaruudessani (inessive singular)
vektoriavaruuksissani (inessive plural)
vektoriavaruudestani (elative singular)
vektoriavaruuksistani (elative plural)
vektoriavaruuteeni (illative singular)
vektoriavaruuksiini (illative plural)
vektoriavaruudellani (adessive singular)
vektoriavaruuksillani (adessive plural)
vektoriavaruudeltani (ablative singular)
vektoriavaruuksiltani (ablative plural)
vektoriavaruudelleni (allative singular)
vektoriavaruuksilleni (allative plural)
vektoriavaruutenani (essive singular)
vektoriavaruuksinani (essive plural)
vektoriavaruudekseni (singular translative)
vektoriavaruuksikseni (plural translative)
vektoriavaruudettani (abessive singular)
vektoriavaruuksittani (abessive plural)
vektoriavaruuksineni (comitative plural)
vektoriavaruutesi (nominative singular)
vektoriavaruutesi (nominative plural)
vektoriavaruutesi (accusative nominative singular)
vektoriavaruutesi (accusative nominative plural)
vektoriavaruutesi (accusative genitive singular)
vektoriavaruutesi (accusative genitive plural)
vektoriavaruutesi (genitive singular)
vektoriavaruuksiesi (genitive plural)
vektoriavaruuttasi (partitive singular)
vektoriavaruuksiasi (partitive plural)
vektoriavaruudessasi (inessive singular)
vektoriavaruuksissasi (inessive plural)
vektoriavaruudestasi (elative singular)
vektoriavaruuksistasi (elative plural)
vektoriavaruuteesi (illative singular)
vektoriavaruuksiisi (illative plural)
vektoriavaruudellasi (adessive singular)
vektoriavaruuksillasi (adessive plural)
vektoriavaruudeltasi (ablative singular)
vektoriavaruuksiltasi (ablative plural)
vektoriavaruudellesi (allative singular)
vektoriavaruuksillesi (allative plural)
vektoriavaruutenasi (essive singular)
vektoriavaruuksinasi (essive plural)
vektoriavaruudeksesi (singular translative)
vektoriavaruuksiksesi (plural translative)
vektoriavaruudettasi (abessive singular)
vektoriavaruuksittasi (abessive plural)
vektoriavaruuksinesi (comitative plural)
vektoriavaruutemme (nominative singular)
vektoriavaruutemme (nominative plural)
vektoriavaruutemme (accusative nominative singular)
vektoriavaruutemme (accusative nominative plural)
vektoriavaruutemme (accusative genitive singular)
vektoriavaruutemme (accusative genitive plural)
vektoriavaruutemme (genitive singular)
vektoriavaruuksiemme (genitive plural)
vektoriavaruuttamme (partitive singular)
vektoriavaruuksiamme (partitive plural)
vektoriavaruudessamme (inessive singular)
vektoriavaruuksissamme (inessive plural)
vektoriavaruudestamme (elative singular)
vektoriavaruuksistamme (elative plural)
vektoriavaruuteemme (illative singular)
vektoriavaruuksiimme (illative plural)
vektoriavaruudellamme (adessive singular)
vektoriavaruuksillamme (adessive plural)
vektoriavaruudeltamme (ablative singular)
vektoriavaruuksiltamme (ablative plural)
vektoriavaruudellemme (allative singular)
vektoriavaruuksillemme (allative plural)
vektoriavaruutenamme (essive singular)
vektoriavaruuksinamme (essive plural)
vektoriavaruudeksemme (singular translative)
vektoriavaruuksiksemme (plural translative)
vektoriavaruudettamme (abessive singular)
vektoriavaruuksittamme (abessive plural)
vektoriavaruuksinemme (comitative plural)
vektoriavaruutenne (nominative singular)
vektoriavaruutenne (nominative plural)
vektoriavaruutenne (accusative nominative singular)
vektoriavaruutenne (accusative nominative plural)
vektoriavaruutenne (accusative genitive singular)
vektoriavaruutenne (accusative genitive plural)
vektoriavaruutenne (genitive singular)
vektoriavaruuksienne (genitive plural)
vektoriavaruuttanne (partitive singular)
vektoriavaruuksianne (partitive plural)
vektoriavaruudessanne (inessive singular)
vektoriavaruuksissanne (inessive plural)
vektoriavaruudestanne (elative singular)
vektoriavaruuksistanne (elative plural)
vektoriavaruuteenne (illative singular)
vektoriavaruuksiinne (illative plural)
vektoriavaruudellanne (adessive singular)
vektoriavaruuksillanne (adessive plural)
vektoriavaruudeltanne (ablative singular)
vektoriavaruuksiltanne (ablative plural)
vektoriavaruudellenne (allative singular)
vektoriavaruuksillenne (allative plural)
vektoriavaruutenanne (essive singular)
vektoriavaruuksinanne (essive plural)
vektoriavaruudeksenne (singular translative)
vektoriavaruuksiksenne (plural translative)
vektoriavaruudettanne (abessive singular)
vektoriavaruuksittanne (abessive plural)
vektoriavaruuksinenne (comitative plural)
vektoriavaruutensa (nominative singular)
vektoriavaruutensa (nominative plural)
vektoriavaruutensa (accusative nominative singular)
vektoriavaruutensa (accusative nominative plural)
vektoriavaruutensa (accusative genitive singular)
vektoriavaruutensa (accusative genitive plural)
vektoriavaruutensa (genitive singular)
vektoriavaruuksiensa (genitive plural)
vektoriavaruuttaan (partitive singular)
vektoriavaruuttansa (partitive singular)
vektoriavaruuksiaan (partitive plural)
vektoriavaruuksiansa (partitive plural)
vektoriavaruudessaan (inessive singular)
vektoriavaruudessansa (inessive singular)
vektoriavaruuksissaan (inessive plural)
vektoriavaruuksissansa (inessive plural)
vektoriavaruudestaan (elative singular)
vektoriavaruudestansa (elative singular)
vektoriavaruuksistaan (elative plural)
vektoriavaruuksistansa (elative plural)
vektoriavaruuteensa (illative singular)
vektoriavaruuksiinsa (illative plural)
vektoriavaruudellaan (adessive singular)
vektoriavaruudellansa (adessive singular)
vektoriavaruuksillaan (adessive plural)
vektoriavaruuksillansa (adessive plural)
vektoriavaruudeltaan (ablative singular)
vektoriavaruudeltansa (ablative singular)
vektoriavaruuksiltaan (ablative plural)
vektoriavaruuksiltansa (ablative plural)
vektoriavaruudelleen (allative singular)
vektoriavaruudellensa (allative singular)
vektoriavaruuksilleen (allative plural)
vektoriavaruuksillensa (allative plural)
vektoriavaruutenaan (essive singular)
vektoriavaruutenansa (essive singular)
vektoriavaruuksinaan (essive plural)
vektoriavaruuksinansa (essive plural)
vektoriavaruudekseen (singular translative)
vektoriavaruudeksensa (singular translative)
vektoriavaruuksikseen (plural translative)
vektoriavaruuksiksensa (plural translative)
vektoriavaruudettaan (abessive singular)
vektoriavaruudettansa (abessive singular)
vektoriavaruuksittaan (abessive plural)
vektoriavaruuksittansa (abessive plural)
vektoriavaruuksineen (comitative plural)
vektoriavaruuksinensa (comitative plural)

[ˈʋe̞kt̪o̞riˌɑ̝ʋɑ̝ruːs̠]

(algebra, geometry, mathematics, topology) vector space


monomio

From mono- + binomio. By surface analysis, mono- + -nomio.

(mathematics, algebra) monomial (expression)


monomi

monomi (nominative singular)
monomit (nominative plural)
monomi (accusative nominative singular)
monomit (accusative nominative plural)
monomin (accusative genitive singular)
monomit (accusative genitive plural)
monomin (genitive singular)
monomien (genitive plural)
monomia (partitive singular)
monomeja (partitive plural)
monomissa (inessive singular)
monomeissa (inessive plural)
monomista (elative singular)
monomeista (elative plural)
monomiin (illative singular)
monomeihin (illative plural)
monomilla (adessive singular)
monomeilla (adessive plural)
monomilta (ablative singular)
monomeilta (ablative plural)
monomille (allative singular)
monomeille (allative plural)
monomina (essive singular)
monomeina (essive plural)
monomiksi (singular translative)
monomeiksi (plural translative)
monomitta (abessive singular)
monomeitta (abessive plural)
monomein (instructive plural)
See the possessive forms below. (comitative)
monomini (nominative singular)
monomini (nominative plural)
monomini (accusative nominative singular)
monomini (accusative nominative plural)
monomini (accusative genitive singular)
monomini (accusative genitive plural)
monomini (genitive singular)
monomieni (genitive plural)
monomiani (partitive singular)
monomejani (partitive plural)
monomissani (inessive singular)
monomeissani (inessive plural)
monomistani (elative singular)
monomeistani (elative plural)
monomiini (illative singular)
monomeihini (illative plural)
monomillani (adessive singular)
monomeillani (adessive plural)
monomiltani (ablative singular)
monomeiltani (ablative plural)
monomilleni (allative singular)
monomeilleni (allative plural)
monominani (essive singular)
monomeinani (essive plural)
monomikseni (singular translative)
monomeikseni (plural translative)
monomittani (abessive singular)
monomeittani (abessive plural)
monomeineni (comitative plural)
monomisi (nominative singular)
monomisi (nominative plural)
monomisi (accusative nominative singular)
monomisi (accusative nominative plural)
monomisi (accusative genitive singular)
monomisi (accusative genitive plural)
monomisi (genitive singular)
monomiesi (genitive plural)
monomiasi (partitive singular)
monomejasi (partitive plural)
monomissasi (inessive singular)
monomeissasi (inessive plural)
monomistasi (elative singular)
monomeistasi (elative plural)
monomiisi (illative singular)
monomeihisi (illative plural)
monomillasi (adessive singular)
monomeillasi (adessive plural)
monomiltasi (ablative singular)
monomeiltasi (ablative plural)
monomillesi (allative singular)
monomeillesi (allative plural)
monominasi (essive singular)
monomeinasi (essive plural)
monomiksesi (singular translative)
monomeiksesi (plural translative)
monomittasi (abessive singular)
monomeittasi (abessive plural)
monomeinesi (comitative plural)
monomimme (nominative singular)
monomimme (nominative plural)
monomimme (accusative nominative singular)
monomimme (accusative nominative plural)
monomimme (accusative genitive singular)
monomimme (accusative genitive plural)
monomimme (genitive singular)
monomiemme (genitive plural)
monomiamme (partitive singular)
monomejamme (partitive plural)
monomissamme (inessive singular)
monomeissamme (inessive plural)
monomistamme (elative singular)
monomeistamme (elative plural)
monomiimme (illative singular)
monomeihimme (illative plural)
monomillamme (adessive singular)
monomeillamme (adessive plural)
monomiltamme (ablative singular)
monomeiltamme (ablative plural)
monomillemme (allative singular)
monomeillemme (allative plural)
monominamme (essive singular)
monomeinamme (essive plural)
monomiksemme (singular translative)
monomeiksemme (plural translative)
monomittamme (abessive singular)
monomeittamme (abessive plural)
monomeinemme (comitative plural)
monominne (nominative singular)
monominne (nominative plural)
monominne (accusative nominative singular)
monominne (accusative nominative plural)
monominne (accusative genitive singular)
monominne (accusative genitive plural)
monominne (genitive singular)
monomienne (genitive plural)
monomianne (partitive singular)
monomejanne (partitive plural)
monomissanne (inessive singular)
monomeissanne (inessive plural)
monomistanne (elative singular)
monomeistanne (elative plural)
monomiinne (illative singular)
monomeihinne (illative plural)
monomillanne (adessive singular)
monomeillanne (adessive plural)
monomiltanne (ablative singular)
monomeiltanne (ablative plural)
monomillenne (allative singular)
monomeillenne (allative plural)
monominanne (essive singular)
monomeinanne (essive plural)
monomiksenne (singular translative)
monomeiksenne (plural translative)
monomittanne (abessive singular)
monomeittanne (abessive plural)
monomeinenne (comitative plural)
monominsa (nominative singular)
monominsa (nominative plural)
monominsa (accusative nominative singular)
monominsa (accusative nominative plural)
monominsa (accusative genitive singular)
monominsa (accusative genitive plural)
monominsa (genitive singular)
monomiensa (genitive plural)
monomiaan (partitive singular)
monomiansa (partitive singular)
monomejaan (partitive plural)
monomejansa (partitive plural)
monomissaan (inessive singular)
monomissansa (inessive singular)
monomeissaan (inessive plural)
monomeissansa (inessive plural)
monomistaan (elative singular)
monomistansa (elative singular)
monomeistaan (elative plural)
monomeistansa (elative plural)
monomiinsa (illative singular)
monomeihinsa (illative plural)
monomillaan (adessive singular)
monomillansa (adessive singular)
monomeillaan (adessive plural)
monomeillansa (adessive plural)
monomiltaan (ablative singular)
monomiltansa (ablative singular)
monomeiltaan (ablative plural)
monomeiltansa (ablative plural)
monomilleen (allative singular)
monomillensa (allative singular)
monomeilleen (allative plural)
monomeillensa (allative plural)
monominaan (essive singular)
monominansa (essive singular)
monomeinaan (essive plural)
monomeinansa (essive plural)
monomikseen (singular translative)
monomiksensa (singular translative)
monomeikseen (plural translative)
monomeiksensa (plural translative)
monomittaan (abessive singular)
monomittansa (abessive singular)
monomeittaan (abessive plural)
monomeittansa (abessive plural)
monomeineen (comitative plural)
monomeinensa (comitative plural)

Internationalism (see German Monom). Contains the suffix -nomi.


quadrinomio

(mathematics, algebra) quadrinomial (quartic polynomial)


tralie

nl-noun

tralie f (plural traliën or tralies, diminutive tralietje n)

traliën (plural)
tralies (plural)
tralietje (diminutive neuter)

→ Indonesian: terali


Boolean lattice

en-noun

Boolean lattice (plural Boolean lattices)

A Boolean lattice always has 2ⁿ elements for some cardinal number n.

If two Boolean lattices have the same size, then they are isomorphic.

(algebra) The lattice corresponding to a Boolean algebra.


distributive lattice

distributive lattice (plural distributive lattices)

In a distributive lattice, the set of complemented elements is a sublattice.

(algebra) A lattice in which the "meet" and the "join" operations are distributive with respect to each other.


adjunction

adjunction (countable and uncountable, plural adjunctions)

LL-Q1860 (eng)-Flame, not lame-adjunction.wav

From Latin adjunctio, from adjungere: compare French adjonction, and see adjunct.

The ring obtained after the adjunction of the elements a,b and y to the ring R may be denoted R#91;a,b,y#93;.

The field adjunction #92;mathbb#123;Q#125;(#92;pi) can be obtained from #92;mathbb#123;Q#125; by adjoining #92;pi to #92;mathbb#123;Q#125;.

(mathematics, chiefly algebra and number theory) The process of adjoining elements to an algebraic structure (usually a ring or field); the result of such a process.


additive group

additiivinen ryhmä

group or algebraic object regarded as a group with operation called addition

(mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:

(algebra) Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition.


zmienna

zmienna (nominative singular)
zmienne (nominative plural)
zmiennej (genitive singular)
zmiennych (genitive plural)
zmiennej (dative singular)
zmiennym (dative plural)
zmienną (accusative singular)
zmienne (accusative plural)
zmienną (instrumental singular)
zmiennymi (instrumental plural)
zmiennej (locative singular)
zmiennych (locative plural)
zmienna (singular vocative)
zmienne (plural vocative)

(nominalized, algebra) variable (quantity that changes its value throughout a given discussion)


polinom

polinomok (plural)
polinom (nominative singular)
polinomok (nominative plural)
polinomot (accusative singular)
polinomokat (accusative plural)
polinomnak (dative singular)
polinomoknak (dative plural)
polinommal (instrumental singular)
polinomokkal (instrumental plural)
polinomért (causal-final singular)
polinomokért (causal-final plural)
polinommá (singular translative)
polinomokká (plural translative)
polinomig (singular terminative)
polinomokig (plural terminative)
polinomként (essive-formal singular)
polinomokként (essive-formal plural)
polinomban (inessive singular)
polinomokban (inessive plural)
polinomon (singular superessive)
polinomokon (plural superessive)
polinomnál (adessive singular)
polinomoknál (adessive plural)
polinomba (illative singular)
polinomokba (illative plural)
polinomra (singular sublative)
polinomokra (plural sublative)
polinomhoz (allative singular)
polinomokhoz (allative plural)
polinomból (elative singular)
polinomokból (elative plural)
polinomról (delative singular)
polinomokról (delative plural)
polinomtól (ablative singular)
polinomoktól (ablative plural)
polinomé (singular)
polinomoké (plural)
polinoméi (singular)
polinomokéi (plural)
polinomom (first-person possessed-single possessive singular)
polinomjaim (first-person possessed-many possessive singular)
polinomod (possessed-single possessive second-person singular)
polinomjaid (possessed-many possessive second-person singular)
polinomja (possessed-single possessive singular third-person)
polinomjai (possessed-many possessive singular third-person)
polinomunk (first-person plural possessed-single possessive)
polinomjaink (first-person plural possessed-many possessive)
polinomotok (plural possessed-single possessive second-person)
polinomjaitok (plural possessed-many possessive second-person)
polinomjuk (plural possessed-single possessive third-person)
polinomjaik (plural possessed-many possessive third-person)


polinom

head

polinom (definite accusative polinomu, plural polinomlar)

polinomu (accusative definite)
polinomlar (plural)
polinom (nominative singular)
polinomlar (nominative plural)
polinomu (accusative definite singular)
polinomları (accusative definite plural)
polinoma (dative singular)
polinomlara (dative plural)
polinomda (locative singular)
polinomlarda (locative plural)
polinomdan (ablative singular)
polinomlardan (ablative plural)
polinomun (genitive singular)
polinomların (genitive plural)
polinomum (first-person nominative singular)
polinomlarım (first-person nominative singular)
polinomun (nominative second-person singular)
polinomların (nominative second-person singular)
polinomu (nominative singular third-person)
polinomları (nominative singular third-person)
polinomumuz (first-person nominative plural)
polinomlarımız (first-person nominative plural)
polinomunuz (nominative plural second-person)
polinomlarınız (nominative plural second-person)
polinomları (nominative plural third-person)
polinomumu (accusative definite first-person singular)
polinomlarımı (accusative definite first-person singular)
polinomunu (accusative definite second-person singular)
polinomlarını (accusative definite second-person singular)
polinomunu (accusative definite singular third-person)
polinomlarını (accusative definite singular third-person)
polinomumuzu (accusative definite first-person plural)
polinomlarımızı (accusative definite first-person plural)
polinomunuzu (accusative definite plural second-person)
polinomlarınızı (accusative definite plural second-person)
polinomlarını (accusative definite plural third-person)
polinomuma (dative first-person singular)
polinomlarıma (dative first-person singular)
polinomuna (dative second-person singular)
polinomlarına (dative second-person singular)
polinomuna (dative singular third-person)
polinomlarına (dative singular third-person)
polinomumuza (dative first-person plural)
polinomlarımıza (dative first-person plural)
polinomunuza (dative plural second-person)
polinomlarınıza (dative plural second-person)
polinomlarına (dative plural third-person)
polinomumda (first-person locative singular)
polinomlarımda (first-person locative singular)
polinomunda (locative second-person singular)
polinomlarında (locative second-person singular)
polinomunda (locative singular third-person)
polinomlarında (locative singular third-person)
polinomumuzda (first-person locative plural)
polinomlarımızda (first-person locative plural)
polinomunuzda (locative plural second-person)
polinomlarınızda (locative plural second-person)
polinomlarında (locative plural third-person)
polinomumdan (ablative first-person singular)
polinomlarımdan (ablative first-person singular)
polinomundan (ablative second-person singular)
polinomlarından (ablative second-person singular)
polinomundan (ablative singular third-person)
polinomlarından (ablative singular third-person)
polinomumuzdan (ablative first-person plural)
polinomlarımızdan (ablative first-person plural)
polinomunuzdan (ablative plural second-person)
polinomlarınızdan (ablative plural second-person)
polinomlarından (ablative plural third-person)
polinomumun (first-person genitive singular)
polinomlarımın (first-person genitive singular)
polinomunun (genitive second-person singular)
polinomlarının (genitive second-person singular)
polinomunun (genitive singular third-person)
polinomlarının (genitive singular third-person)
polinomumuzun (first-person genitive plural)
polinomlarımızın (first-person genitive plural)
polinomunuzun (genitive plural second-person)
polinomlarınızın (genitive plural second-person)
polinomlarının (genitive plural third-person)


disztributivitás

disztributivitások (plural)
disztributivitás (nominative singular)
disztributivitások (nominative plural)
disztributivitást (accusative singular)
disztributivitásokat (accusative plural)
disztributivitásnak (dative singular)
disztributivitásoknak (dative plural)
disztributivitással (instrumental singular)
disztributivitásokkal (instrumental plural)
disztributivitásért (causal-final singular)
disztributivitásokért (causal-final plural)
disztributivitássá (singular translative)
disztributivitásokká (plural translative)
disztributivitásig (singular terminative)
disztributivitásokig (plural terminative)
disztributivitásként (essive-formal singular)
disztributivitásokként (essive-formal plural)
disztributivitásban (inessive singular)
disztributivitásokban (inessive plural)
disztributivitáson (singular superessive)
disztributivitásokon (plural superessive)
disztributivitásnál (adessive singular)
disztributivitásoknál (adessive plural)
disztributivitásba (illative singular)
disztributivitásokba (illative plural)
disztributivitásra (singular sublative)
disztributivitásokra (plural sublative)
disztributivitáshoz (allative singular)
disztributivitásokhoz (allative plural)
disztributivitásból (elative singular)
disztributivitásokból (elative plural)
disztributivitásról (delative singular)
disztributivitásokról (delative plural)
disztributivitástól (ablative singular)
disztributivitásoktól (ablative plural)
disztributivitásé (singular)
disztributivitásoké (plural)
disztributivitáséi (singular)
disztributivitásokéi (plural)
disztributivitásom (first-person possessed-single possessive singular)
disztributivitásaim (first-person possessed-many possessive singular)
disztributivitásod (possessed-single possessive second-person singular)
disztributivitásaid (possessed-many possessive second-person singular)
disztributivitása (possessed-single possessive singular third-person)
disztributivitásai (possessed-many possessive singular third-person)
disztributivitásunk (first-person plural possessed-single possessive)
disztributivitásaink (first-person plural possessed-many possessive)
disztributivitásotok (plural possessed-single possessive second-person)
disztributivitásaitok (plural possessed-many possessive second-person)
disztributivitásuk (plural possessed-single possessive third-person)
disztributivitásaik (plural possessed-many possessive third-person)


kommutativitás

kommutativitások (plural)
kommutativitás (nominative singular)
kommutativitások (nominative plural)
kommutativitást (accusative singular)
kommutativitásokat (accusative plural)
kommutativitásnak (dative singular)
kommutativitásoknak (dative plural)
kommutativitással (instrumental singular)
kommutativitásokkal (instrumental plural)
kommutativitásért (causal-final singular)
kommutativitásokért (causal-final plural)
kommutativitássá (singular translative)
kommutativitásokká (plural translative)
kommutativitásig (singular terminative)
kommutativitásokig (plural terminative)
kommutativitásként (essive-formal singular)
kommutativitásokként (essive-formal plural)
kommutativitásban (inessive singular)
kommutativitásokban (inessive plural)
kommutativitáson (singular superessive)
kommutativitásokon (plural superessive)
kommutativitásnál (adessive singular)
kommutativitásoknál (adessive plural)
kommutativitásba (illative singular)
kommutativitásokba (illative plural)
kommutativitásra (singular sublative)
kommutativitásokra (plural sublative)
kommutativitáshoz (allative singular)
kommutativitásokhoz (allative plural)
kommutativitásból (elative singular)
kommutativitásokból (elative plural)
kommutativitásról (delative singular)
kommutativitásokról (delative plural)
kommutativitástól (ablative singular)
kommutativitásoktól (ablative plural)
kommutativitásé (singular)
kommutativitásoké (plural)
kommutativitáséi (singular)
kommutativitásokéi (plural)
kommutativitásom (first-person possessed-single possessive singular)
kommutativitásaim (first-person possessed-many possessive singular)
kommutativitásod (possessed-single possessive second-person singular)
kommutativitásaid (possessed-many possessive second-person singular)
kommutativitása (possessed-single possessive singular third-person)
kommutativitásai (possessed-many possessive singular third-person)
kommutativitásunk (first-person plural possessed-single possessive)
kommutativitásaink (first-person plural possessed-many possessive)
kommutativitásotok (plural possessed-single possessive second-person)
kommutativitásaitok (plural possessed-many possessive second-person)
kommutativitásuk (plural possessed-single possessive third-person)
kommutativitásaik (plural possessed-many possessive third-person)

Borrowed from German Kommutivität. With Latinate -itás ending.


asszociativitás

asszociativitások (plural)
asszociativitás (nominative singular)
asszociativitások (nominative plural)
asszociativitást (accusative singular)
asszociativitásokat (accusative plural)
asszociativitásnak (dative singular)
asszociativitásoknak (dative plural)
asszociativitással (instrumental singular)
asszociativitásokkal (instrumental plural)
asszociativitásért (causal-final singular)
asszociativitásokért (causal-final plural)
asszociativitássá (singular translative)
asszociativitásokká (plural translative)
asszociativitásig (singular terminative)
asszociativitásokig (plural terminative)
asszociativitásként (essive-formal singular)
asszociativitásokként (essive-formal plural)
asszociativitásban (inessive singular)
asszociativitásokban (inessive plural)
asszociativitáson (singular superessive)
asszociativitásokon (plural superessive)
asszociativitásnál (adessive singular)
asszociativitásoknál (adessive plural)
asszociativitásba (illative singular)
asszociativitásokba (illative plural)
asszociativitásra (singular sublative)
asszociativitásokra (plural sublative)
asszociativitáshoz (allative singular)
asszociativitásokhoz (allative plural)
asszociativitásból (elative singular)
asszociativitásokból (elative plural)
asszociativitásról (delative singular)
asszociativitásokról (delative plural)
asszociativitástól (ablative singular)
asszociativitásoktól (ablative plural)
asszociativitásé (singular)
asszociativitásoké (plural)
asszociativitáséi (singular)
asszociativitásokéi (plural)
asszociativitásom (first-person possessed-single possessive singular)
asszociativitásaim (first-person possessed-many possessive singular)
asszociativitásod (possessed-single possessive second-person singular)
asszociativitásaid (possessed-many possessive second-person singular)
asszociativitása (possessed-single possessive singular third-person)
asszociativitásai (possessed-many possessive singular third-person)
asszociativitásunk (first-person plural possessed-single possessive)
asszociativitásaink (first-person plural possessed-many possessive)
asszociativitásotok (plural possessed-single possessive second-person)
asszociativitásaitok (plural possessed-many possessive second-person)
asszociativitásuk (plural possessed-single possessive third-person)
asszociativitásaik (plural possessed-many possessive third-person)

Borrowed from German Assoziativität. With Latinate -itás ending.


метрика

мѐтрика (canonical feminine)
mètrika (romanization)
метрика (nominative singular)
метрике (nominative plural)
метрике (genitive singular)
метрика (genitive plural)
метрици (dative singular)
метрикама (dative plural)
метрику (accusative singular)
метрике (accusative plural)
метрико (singular vocative)
метрике (plural vocative)
метрици (locative singular)
метрикама (locative plural)
метриком (instrumental singular)
метрикама (instrumental plural)


derived group

(algebra) The subgroup of a specified group generated by the larger group's commutators.


commutator subgroup

en-noun

commutator subgroup (plural commutator subgroups)

The commutator subgroup is important because it is the smallest normal subgroup such that the quotient group of the original group by this subgroup is abelian.^([wikipedia])


γεννήτορας

head

γεννήτορας • (gennítoras) m (plural γεννήτορες)

gennítoras (romanization)
γεννήτορες (plural)
γεννήτορας (nominative singular)
γεννήτορες (nominative plural)
γεννήτορα (genitive singular)
γεννητόρων (genitive plural)
γεννήτορα (accusative singular)
γεννήτορες (accusative plural)
γεννήτορα (singular vocative)
γεννήτορες (plural vocative)

γεν νή το ρας

From Ancient Greek γεννήτωρ (gennḗtōr, “begetter”), from γεννᾰ́ω (gennắō, “to beget, give birth to; produce, generate”) + -τωρ (-tōr, masculine agent noun suffix), equivalent to Proto-Hellenic *génetōr from Proto-Indo-European *ǵénh₁tōr, from *ǵenh₁- (“to produce, to beget”) + *-tōr (agent noun). Compare Latin genitor.


grupo abeliano

pt-noun

grupo abeliano m (plural grupos abelianos)

(algebra) abelian group (a group in which the group operation is commutative)


полюс

kk-noun

полюс • (polüs)

polüs (romanization)
полюс (nominative singular)
полюстер (nominative plural)
полюстің (genitive singular)
полюстердің (genitive plural)
полюске (dative singular)
полюстерге (dative plural)
полюсті (accusative singular)
полюстерді (accusative plural)
полюсте (locative singular)
полюстерде (locative plural)
полюстен (ablative singular)
полюстерден (ablative plural)
полюспен (instrumental singular)
полюстермен (instrumental plural)

Borrowed from Russian по́люс (póljus), from Latin polus, from Ancient Greek πόλος (pólos, “axis of rotation”).

der

Kazakh alphabets#Arabic script
Kazakh alphabets#Cyrillic script
Kazakh alphabets#Latin script

(algebra) pole (a certain type of singularity of a complex-valued function of a complex variable)


полюс

ru-noun+

по́люс • (póljus) m inan (genitive по́люса, nominative plural по́люсы or полюса́, genitive plural по́люсов or полюсо́в)

по́люс (canonical)
póljus (romanization)
по́люса (genitive)
по́люсы (nominative plural)
полюса́ (nominative plural)
по́люсов (genitive plural)
полюсо́в (genitive plural)
по́люс (nominative singular)
по́люсы (nominative plural)
полюса́ (irregular nominative plural)
по́люса (genitive singular)
по́люсов (genitive plural)
полюсо́в (genitive plural)
по́люсу (dative singular)
по́люсам (dative plural)
полюса́м (dative plural)
по́люс (accusative singular)
по́люсы (accusative plural)
полюса́ (accusative irregular plural)
по́люсом (instrumental singular)
по́люсами (instrumental plural)
полюса́ми (instrumental plural)
по́люсе (prepositional singular)
по́люсах (plural prepositional)
полюса́х (plural prepositional)


group ring

(algebra) Given ring R with identity not equal to zero, and group G=g_1,g_2,...,g_n, the group ring RG has elements of the form a_1g_1+a_2g_2+...+a_ng_n (where a_i isin R) such that the sum of a_1g_1+a_2g_2+...+a_ng_n and b_1g_1+b_2g_2+...+b_ng_n is (a_1+b_1)g_1+(a_2+b_2)g_2+...+(a_n+b_n)g_n and the product is ∑ₖ₌₁ⁿ(∑_(g_ig_j=g_k)a_ib_j)g_k.


integral domain

en-noun

integral domain (plural integral domains)

A ring R is an integral domain if and only if the polynomial ring R#91;x#93; is an integral domain.

For any integral domain there can be derived an associated field of fractions.

For integral domains, we will use a⁻¹ to designate the multiplicative inverse of a (if it has one; since not all elements need have inverses, this notation can be used only where it can be shown that an inverse exists).

1990, Barbara H. Partee, Alice ter Meulen, Robert E. Wall, Mathematical Methods in Linguistics, Kluwer Academic Publishers, page 266:

An integral domain is said to have strong pseudo-Dedekind factorization if each proper ideal can be factored as the product of an invertible ideal (possibly equal to the ring) and a finite product of pairwise comaximal prime ideals with at least one prime in the product.

2013, Marco Fontana, Evan Houston, Thomas Lucas, Factoring Ideals in Integral Domains, Springer, page 95:

#91;#92;mathbb#123;Z#125;#59;#43;,#92;cdot#93;, #91;#92;mathbb#123;Z#125;#95;p,#43;#95;p,#92;times#95;p#93; with p a prime, #91;#92;mathbb#123;Q#125;#59;#43;,#92;cdot#93;, #91;#92;mathbb#123;R#125;#59;#43;,#92;cdot#93;, and #91;#92;mathbb#123;C#125;#59;#43;,#92;cdot#93; are all integral domains. The key example of an infinite integral domain is #91;#92;mathbb#123;Z#125;#59;#43;,#92;cdot#93;. In fact, it is from #92;mathbb#123;Z#125; that the term integral domain is derived. Our main example of a finite integral domain is #91;#92;mathbb#123;Z#125;#95;p,#43;#95;p,#92;times#95;p#93;, when p is prime.

2017, Ken Levasseur, Al Doerr, Applied Discrete Structures: Part 2 - Applied Algebra, Lulu.com, page 171:

(algebra, ring theory) Any nonzero commutative ring in which the product of nonzero elements is nonzero.


Gaussian integer

Gaussian integer (plural Gaussian integers)

We could say that a Gaussian integer is larger than another if its norm is larger, that is, if its distance from the origin is larger. That's all right, although it has the peculiarity that 5 is larger than -7 as an integer, but smaller than -7 as a Gaussian integer! In a way, this notion of larger makes more sense: shouldn't -7 be considered larger than 5?

1997, Bernard L. Johnston, Fred Richman, Numbers and Symmetry: An Introduction to Algebra, CRC Press, page 44:

2000, André Weilert, Asymptotically fast GCD Computation in ℤ[i], Wieb Bosma (editor), Algorithmic Number Theory: 4th International Symposium, ANTS-IV, Proceedings, Springer, LNCS 1838, page 595,
We present an asymptotically fast algorithm for the computation of the greatest common divisor (GCD) of two Gaussian integers.

2008, Timothy Gowers, June Barrow-Green, Imre Leader (editors), The Princeton Companion to Mathematics, Princeton University Press, page 319,
For example, in the ring of Gaussian integers, R_-1, we have the factorizations
2=(1+i)(1-i),
5=(1+2i)(1-2i),
13=(2+3i)(2-3i),
17=(1+4i)(1-4i),
29=(2+5i)(2-5i),
⋮
where all the Gaussian integer factors in brackets above are irreducible elements of the ring of Gaussian integers.

(algebra) Any complex number of the form a + bi, where a and b are integers.


nonpolynomial

LL-Q1860 (eng)-Flame, not lame-nonpolynomial.wav


nonpolynomial

(algebra) An expression that is not a polynomial.