Translations: Mathematical Expressions

From UniLang Wiki

This is not going to be a glossary such as the one at the University of Göttingen [1] or the great dictionnaire terminologique, I just want the basics you need to talk about what you're doing...

-a
Bulgarian: минус a
Danish: minus a
Dutch: min a
English: minus a
Finnish: miinus a
French: moins a
Galician: menos a
German: minus a
Hungarian: mínusz a
Indonesian: min a
Italian: meno a
Polish: minus a
Portuguese: menos a
Romanian: minus a
Swedish: minus a
Turkish: eksi a

a+b
Bulgarian: a плюс b
Danish: a plus b
Dutch: a plus b
English: a plus b
Finnish: a plus b
French: a plus b
Galician: a máis b
German: a plus b
Hungarian: a plusz b / a meg b
Indonesian: a tambah b / a plus b
Italian: a più b
Polish: a plus b
Portuguese: a mais b
Romanian: a plus b
Swedish: a plus b
Turkish: a artı b

a-b
Bulgarian: a минус b
Danish: a minus b
Dutch: a min b
English: a minus b
Finnish: a miinus b
French: a moins b
Galician: a menos b
German: a minus b
Hungarian: a mínusz b / a-ból b
Indonesian: a kurang b / a min b
Italian: a meno b
Polish: a minus b
Portuguese: a menos b
Romanian: a minus b
Swedish: a minus b
Turkish: a eksi b

a*b
Bulgarian: a (умножено) по b
Danish: a gange b
Dutch: a maal b
English: a times b
Finnish: a kertaa b
French: a fois b
Galician: a por b
German: a mal b
Hungarian: a-szor b
Indonesian: a kali b
Italian: a per b
Polish: a razy b
Portuguese: a vezes b
Romanian: a înmulţit cu b; a ori b
Swedish: a gånger b
Turkish: a çarpım b

a/b
Bulgarian: a върху b / a делено на b
Danish: a divideret med b
Dutch: a gedeeld door b
English: a over b
Finnish: a jaettuna b:llä
French: a sur b
German: a (geteilt) durch b
Galician: a dividido por b
Hungarian: a per b / a-ban a b / a osztva b-vel
Indonesian: a per b
Italian: a diviso/fratto/su b
Polish: a (dzielone) przez b
Portuguese: a sobre b / a a dividir por b
Portuguese (Brazil): a sobre b / a dividido por b
Romanian: a împărţit la b; a pe b; a supra b
Swedish: a genom b / a delat med b
Turkish: a bölü b

a^b
Bulgarian: a на степен b / a на b-та
Danish: a i b potens / a i b'nde
Dutch: a tot de b-de
English: a to the (power of) b
Finnish: a potenssiin b
French: a puissance b / a à la (puissance) b
Galician: a elevado a b
German: a hoch b
Hungarian: a a b-ediken / a ad b
Indonesian: a pangkat b
Italian: a alla b
Polish: a do potęgi b
Portuguese: a elevado a b
Romanian: a la puterea b
Swedish: a upphöjt till b
Turkish: a üssü b

a^2
Bulgarian: a на квадрат / a на втора
Danish: a kvadrat / a i anden potens
Dutch: a kwadraat / a tot de tweede
English: a square
Finnish: a:n neliö / a toiseen
French: a carré
Galician: a ó cadrado / a elevado a dous
German: a Quadrat
Hungarian: a négyzet / a a másodikon / a a négyzeten
Indonesian: a kuadrat
Italian: a al quadrato / a alla seconda
Polish: a do kwadratu / a do drugiej potęgi
Portuguese: a ao quadrado
Romanian: a la pătrat
Swedish: a i kvadrat / a upphöjt till två
Turkish: a kare

a^3
Bulgarian: a на куб / a на трета
Danish: a kubik / a i tredje potens
Dutch: a tot de derde
English: a cube
Finnish: a:n kuutio / a kolmanteen
French: a cube
Galician: a ó cubo / a elevado a tres
German: a hoch drei
Hungarian: a köb / a a harmadikon / a a köbön
Indonesian: a pangkat tiga
Italian: a al cubo / a alla terza
Polish: a do sześcianu / a do trzeciej potęgi
Portuguese: a ao cubo
Romanian: a la cub
Swedish: a i kubik / a upphöjt till tre
Turkish: a küp

f(a)
Bulgarian: функция от a
Dutch: v van a
English: f of a
Finnish: f a:sta
French: f de a
Galician: f de a
German: f von a
Hungarian: f a
Indonesian: fungsi f dari a
Italian: f di a
Polish: funkcja f dla a
Portuguese: f de a
Romanian: f de a
Swedish: f av a
Turkish: f(a)

log_b (a)
Bulgarian: логаритъм от a при основа b
Dutch: de logaritme van a met basis b
English: the logarithm of a to the base b / log a (base b)
Finnish: b-kantainen logaritmi a:sta
French: le logarithme de a à la base b / log a (à la base b)
Galician: logaritmo de a en base b
German: der Logarithmus von a zur Basis b / log a (zur Basis b)
Hungarian: a b alapú logaritmusa
Indonesian: logaritma a dalam basis b
Italian: (il) logaritmo di a (in base b)
Polish: logarytm a przy podstawie b
Portuguese: logaritmo (de) base b de a
Portuguese (Brazil): logaritmo na base b de a
Romanian: logaritm de a (în baza b)
Swedish: b-logaritmen av a / logaritmen av a med basen b
Turkish: b tabanına göre logaritma a

sqrt(a) √a
Bulgarian: корен квадратен от a
Danish: kvadratroden af a
Dutch: de wortel uit a / wortell a / tweedemachtswortel uit a
English: (square) root a
Finnish: neliöjuuri a:sta / a:n neliöjuuri
French: racine (carrée) (de) a
Galician: raíz cadrada de a
German: die Wurzel aus a / Wurzel a
Hungarian: gyök a / négyzetgyök a
Indonesian: akar a
Italian: radice (quadrata) di a
Portuguese: raiz quadrada de a
Romanian: rădăcină pătrată din a
Swedish: (kvadrat)roten ur a
Turkish: karekök a

a^(1/b)
Bulgarian: корен b-ти от a
Dutch: de b-de machtswortel uit a
English: the b-th root of a
French: b-ème racine de a
Galician: raíz b-ésima de a
German: die b-te Wurzel aus a
Hungarian: a b-edik gyöke / a az egy per b-ediken
Indonesian: akar pangkat b dari a / a pangkat satu per b
Italian: radice b-sima di a
Polish: b-ty pierwiastek z a
Portuguese: b-ésima raiz de a
Portuguese (Brazil): raiz b-ésima de a
Romanian: rădăcină de ordinul b din a
Swedish: b-roten ur a
Turkish: a'nın b'nci kökü

a \in B [a∈B]
Bulgarian: a принадлежи на B
Dutch: a is een element van B
English: a member of B / a in B
French: a est dans B
Galician: a contida en B
German: a Element B
Hungarian: a eleme B / a eleme B-nek
Indonesian: a elemen B
Italian: a appartiene a B / a è un elemento di B
Portuguese: a pertence a B
Romanian: a aparţine (mulţimii) B
Swedish: a (finns) i B / a tillhör B
Turkish: a elemanıdır B

a \not\in B [a∉B]
Bulgarian: a не принадлежи на B
Dutch: a is geen element van B
English: a not member of B / a not in B
French: a n'est pas dans B
Galician: a non contida en B
German: a nicht Element B
Hungarian: a nem eleme B / a nem eleme B-nek
Indonesian: a bukan elemen B
Italian: a non appartiene a B / a non è un elemento di B
Polish: a nie należy do B
Portuguese: a não pertence a B
Romanian: a nu aparţine (mulţimii) B
Swedish: a (finns) inte i B / a tillhör inte B
Turkish: a elemanı değildir B

A \subset B [A⊂B]
Bulgarian:
Dutch: A is een deelverzameling van B
English: A (is a) subset of B
French: A (est un) sous-ensemble de B
Galician: A é un subconxunto de B
German: A (ist) Teilmenge (von) B
Hungarian: A része B / A része B-nek
Indonesian: A subhimpunan B
Italian: A (è un) sottoinsieme di B
Polish: a zawiera się w B
Portuguese: A é um subconjunto de B
Portuguese (Brazil): A está contido em B
Romanian: A este inclus în B
Swedish: A är en delmängd av B
Turkish: A altkümesidir B'nin

A \cup B [A∪B]
Bulgarian: A обединено с B
Dutch: A verenigd met B
English: A union B
French: A union B
Galician: A unión B
German: A vereinigt B
Hungarian: A unió B
Indonesian: A gabung B / A union B
Italian: A unione B / A unito (a) B / unione di A e B
Portuguese: A união (com) B
Romanian: A reunit cu B
Swedish: unionen av A och B
Turkish: A birleşim B

A \cap B [A∩B]
Bulgarian: A пре�?ича B
Dutch: A doorgesneden met B
English: A intersection B
French: A intersection B
Galician: A intersección B
German: A geschnitten B
Hungarian: A metszet B
Indonesian: A iris B
Italian: A intersezione B / A intersecato (a) B / intersezione di A e B
Polish: A iloczyn B
Portuguese: A intersecção (com) B
Romanian: A intersectat cu B
Swedish: snittet mellan A och B
Turkish: A kesişim B

\emptyset [∅]
Bulgarian: празно множество
Dutch: lege verzameling
English: empty set
Finnish: tyhjä joukko
French: ensemble vide
Galician: conxunto valeiro
German: leere Menge
Hungarian: üres halmaz
Indonesian: himpunan kosong
Italian: insiemo vuoto
Portuguese: conjunto vazio
Romanian: mulţimea vidă
Swedish: tomma mängden
Turkish: boş küme

\forall x A [∀x A]
Bulgarian: за всяко A
Dutch: voor alle x (geldt) a
English: for all x A
French: pour chaque x A
Galician: para todo e calquera x A
German: für alle x gilt A
Hungarian: minden x-re A
Indonesian: untuk semua x A
Italian: per ogni x (è vero / vale) A
Polish: dla każdego x A
Portuguese: para todo (e qualquer) x A
Romanian: pentru oricare x A
Swedish: för alla x gäller A
Turkish: her x için A
Finnish: kaikille x pätee A

\exists x A [∃x A]
Bulgarian:
Dutch: er is een x waarvoor A
English: there is/exists x such that A
French: il existe x (tel que) A
Galician: Esxiste un só x tal que A
German: es gibt ein x mit A / es gibt ein x, so dass (gilt) A
Hungarian: létezik x, hogy A / van olyan X, hogy A
Indonesian: Terdapat x sedemikian sehingga A / Ada x sedemikian sehingga A
Italian: esiste un x tale che A
Polish: istnieje x takie że A
Portuguese: existe (pelo menos) um x tal que A
Romanian: există x astfel încât A
Swedish: det finns/existerar (åtminstone) ett x sådant att A gäller
Turkish: bir x vardır öyle ki A

\not\exists x A [∄x A]
Bulgarian:
Dutch: er is geen x waarvoor A
English: there is/exists no x such that A
French: il n'existe pas x (tel que) A
Galician: non existe x tal que A
German: es gibt kein x mit A / es gibt kein x, so dass (gilt) A
Hungarian: nem létezik x, hogy A / nincs olyan X, hogy A
Indonesian: Tidak ada x sedemikian sehingga A
Italian: non esiste un x tale che A / non esistono x tali che A
Portuguese: não existe (nenhum) x tal que A
Romanian: nu există x astfel încât A
Swedish: det finns/existerar inte något x sådant att A gäller
Turkish: bir x yoktur öyle ki

A <=> B [A⇔B]
Bulgarian: A е равно на B тогава и само тогава когато
Dutch: A is gelijk aan B / A dan en slechts dan als [desda] B
English: A (is) equivalent (to) B / A if and only if [iff] B
French: A (est) équivalent (à) B / A si et seulement si [ssi] B
Galician: A é equivalente a B/ A sí e só sí B
German: A (ist) äquivalent (zu) B / A genau dann, wenn [gdw.] B
Hungarian: A ekvivalens B / A ekvivalens B-vel
Indonesian: A jika dan hanya jika B
Italian: A (è) equivalente (a) B / A se e solo se [sse] B
Polish: A równa się B / A wtedy i tylko wtedy gdy [wtw] B
Portuguese: A (é) equivalente (a) B / A se e somento se B / A se e só se [sse] B
Portuguese (Brazil): A (é) quivalente (a) B
Romanian: A este echivalent cu B / A dacă şi numai dacă B
Swedish: A (är) ekvivalent med B / A om och endast om [omm] B
Turkish: A denktir B / A çift gerektirir B

A => B [A⇒B]
Bulgarian: от A следва B
Dutch: als A, dan B
English: A implies B / if A then B
French: A implique B / si A, alors B
Galician: A implica B/de A sigue B
German: (aus) A folgt B / wenn A, dann B
Hungarian: A-ból B / B, ha A / A-ból következik B / ha A, akkor B / A implikálja B-t
Indonesian: jika A maka B
Italian: A implica B / da A segue B
Portuguese: A implica B / se A então B
Romanian: A implică B / dacă A atunci B
Swedish: A implicerar/implikerar B / om A så B
Turkish: A ise B

a'
Bulgarian: a прим
Dutch: a apostroph
English: a prime
French: a prime
Galician: a primo
German: a Strich
Hungarian: a prím / a vonás / a vessző
Indonesian: a aksen
Italian: a primo
Polish: a prim
Portuguese: a primo
Portuguese (Brazil): a linha
Romanian: a prim
Swedish: a prim
Turkish: a üssü
Finnish: a pilkku

a''
Bulgarian: a два пъти прим
Dutch: a apostroph apostroph
English: a double-prime
French: a double-prime
Galician: a duplo primo
German: a zwei Strich
Hungarian: a két prím / a két vonás / a két vessző
Indonesian: a dobel aksen / a aksen aksen
Italian: a secondo
Portuguese: a duplo-primo
Portuguese (Brazil): a duas linhas
Romanian: a secund
Swedish: a bis
Turkish: a çift üssü

a*
Bulgarian: a звезда
Dutch: a ster
English: a star/asterisk
French: a étoile/astérisque
Galician: a asterisco
German: a Stern
Hungarian: a csillag
Indonesian: a bintang
Italian: a stella/asterisco
Polish: a gwiazdka
Portuguese: a estrela/asterisco
Romanian: a stelat
Swedish: a stjärna
Turkish: a yıldız

â
Bulgarian:
English: a hat
French: a chapeau
German: a Hut
Hungarian: a kalap
Indonesian: a topi
Italian: a circonflesso/cappuccio
Polish: a z daszkiem
Portuguese: a chapéu
Romanian: a cu accent circumflex
Turkish: a şapka

a = b
Bulgarian: a е равно на b
Dutch: a is (gelijk aan) b
English: a equals b
French: a égale b
Galician: a é igual a b
German: a gleich b
Hungarian: a egyenlő b / a egyenlő b-vel
Indonesian: a sama dengan b
Italian: a (è) uguale (a) b
Polish: a równa się b; a jest równe b
Portuguese: a é igual a b
Romanian: a (este) egal (cu) b
Swedish: a (är) lika med b
Turkish: a eşittir b

a < b
Bulgarian: a (е) по-малко от b
Dutch: a (is) kleiner dan b
English: a less than b
French: a moins grand que b
Galician: a é menor que b
German: a kleiner (als) b
Hungarian: a kisebb b / a kisebb, mint b
Indonesian: a lebih kecil (dari) b
Italian: a (è) minore (di) b
Polish: a (jest) mniejsze od b
Portuguese: a é menor que b
Romanian: a mai mic ca b
Swedish: a (är) mindre än b
Turkish: a küçüktür b

a > b
Bulgarian: a (е) по-гол�?мо от b
Dutch: a (is) groter dan b
English: a greater (than) b
French: a plus grand que b
Galician: a maior que b
German: a größer (als) b
Hungarian: a nagyobb b / a nagyobb, mint b
Indonesian: a lebih besar (dari) b
Italian: a (è) minore (di) b
Polish: a (jest) większe od b
Portuguese: a é maior que b
Romanian: a mai mare ca b
Swedish: a (är) större än b
Turkish: a büyüktür b

a <= b [a≤b]
Bulgarian: a (е) по-малко или равно на b
Dutch: a kleiner dan of gelijk aan b
English: a less equal b
French: a moins ou égale b
Galician: a é menor ou igual que b
German: a kleiner gleich b
Hungarian: a kisebb-egyenlő b / a kisebb vagy egyenlő, mint b
Indonesian: a lebih kecil (atau) sama dengan b
Italian: a (è) minore o uguale (a) b
Polish: a (jest) mniejsze lub równe b
Portuguese: a é menor ou igual que b
Romanian: a mai mic sau egal cu b
Swedish: a (är) mindre än eller lika med b
Turkish: a küçük eşittir b

a >= b [a≥b]
Bulgarian: a (е) по-гол�?мо или равно на b
Dutch: a groter dan of gelijk aan b
English: a greater equal b
French: a plus ou égale b
Galician: a é maior ou igual que b
German: a größer gleich b
Hungarian: a nagyobb-egyenlő b / a nagyobb vagy egyenlő, mint b
Indonesian: a lebih besar (atau) sama dengan b
Italian: a (è) maggiore o uguale (a) b
Polish: a (jest) większe lub równe b
Portuguese: a é maior ou igual que b
Romanian: a mai mare sau egal cu b
Swedish: a (är) större än eller lika med b
Turkish: a büyük eşittir b

a \mapsto b [a↦b]
Bulgarian: a клони към b
Dutch: a (geprojecteerd) naar b
English: a maps to b
German: a wird zugeordnet b / a geht nach b
Hungarian: a képe b / a b-be képződik le
Indonesian: a dipetakan terhadap b
Italian: a va in b / a viene mandato in b / f manda a in b
Polish: a odwzorowane na b
Portuguese: a é mapeado em b
Romanian:
Turkish:

f: A -> B [f: A → B]
Bulgarian: f от A към B
Dutch: f van A naar B
English: f of A to B
French: f de A à B
Galician: f vai de A a B
German: f von A nach B
Hungarian: f A-ból B-be
Indonesian: f dari A ke B
Italian: f da A a B
Polish: funkcja z A do B
Portuguese: f vai de A para B
Portuguese (Brazil): f de A em B
Romanian: f definită pe A cu valori în B
Turkish: f:a'dan b'ye

\floor{a} [⌊a⌋]
Bulgarian:
Dutch: a afgerond naar beneden
English: a floor
German: a abgerundet
Hungarian: a alsó egészrész
Indonesian: a floor (from english) / a dibulatkan ke bawah / a lantai?
Italian: a floor [arrotandato per difetto]
Polish: a zaokrąglone w dół
Romanian:
Turkish: a artı b

\ceil{a} [⌈a⌉]
Bulgarian:
Dutch: a afgerond naar boven
English: a ceiling
German: a aufgerundet
Hungarian: a felső egészrész
Indonesian: a ceil (from english) / a dibulatkan ke atas
Italian: a ceil [arrotandato per eccesso]
Polish: a zaokrąglone w górę
Romanian:
Turkish:

lim x->\infty a [lim x→∞ a]
Bulgarian:
Dutch: limiet van x naar oneindig (van) a
English: limit x to infinity (of) a
Finnish: raja-arvo a, kun x lähestyy ääretöntä
French: limite x à infinité (de) a
Galician: límite de a cando x tende ó infinito
German: Limes x gegen unendlich (von) a
Hungarian: x tart a végtelenbe a
Indonesian: limit x menuju takhingga (dari) a / limit x mendekati takhingga dari a
Italian: limite per x che va a infinito di a
Polish: granica x do nieskończoności a
Portuguese: limite quando x tende para infinito de a
Romanian: limită când x tinde la infinit din a
Swedish: gränsvärdet av a då x går mot oändligheten / limes a då x går mot oändligheten
Turkish: Limit x'ten sonsuza(veya x giderken sonsuza)a

�? [\bar{a}]
Bulgarian:
English: a bar
Galician: a barra
German: a Strich
Hungarian: a vonal
Indonesian: a bar
Italian: a barra
Polish: a z kreską
Portuguese: a barra
Romanian: a bară
Turkish:

|a|
Bulgarian: модул a
English: (the) absolute value (of) a
French: (la) valeur absolue (de) a
Galician: valor absoluto de a / módulo de a
German: (der) Betrag (von) a
Hungarian: abszolút érték a / a abszolút értéke
Indonesian: a mutlak / absolut a
Italian: valore assuloti di a / modulo di a
Polish: wartość absolutna a
Portuguese: valor absoluto de a / módulo de a
Romanian: valoare absolută din a / modul din a
Swedish: absolutbeloppet av a
Turkish: mutlak değer a
Finnish: a:n itseisarvo

|A|
Bulgarian:
English: the size/cardinality of A
French: la cardinalité de A
German: die Größe/Mächtigkeit von A
Hungarian: A számossága
Indonesian: kardinalitas A
Italian: la cardinalità di A
Polish: kardynalność A
Romanian: cardinalul lui A
Turkish: A'nın büyüklüğü

{x|A}
Bulgarian:
English: the set of all x such that A
French: l'ensemble de tous les x tels que A
Galician: conxunto dos x tal que A
German: die Menge aller x (mit / so dass) A
Hungarian: azon x-ek (halmaza), melyekre A
Indonesian: himpunan dari semua x sedemikian sehingga A
Italian: l'insieme di tutti gli elementi di A tali che / gli elementi di A t.c.
Polish: zbiór wszystkich x takich że A
Portuguese: conjunto dos x tal/tais que A
Romanian: mulţimea formată din elementele x astfel încât A
Swedish: mängden av alla x sådana att A
Turkish: Bütün x'lerin kümesi öyle ki A

|{x|A}| = #{x|A}
Bulgarian:
English: the number of all x such that A
French: le nombre de tous les x tels que A
Galician: número de x tal que A
German: die Anzahl aller x (mit / so dass) A
Hungarian: azon x-ek száma, melyekre A
Indonesian: banyaknya dari semua x sedemikian sehingga A
Italian: il numero di x tali che A
Polish: ilość wszystkich x takich że A
Portuguese: número de x tal/tais que A
Romanian:
Swedish: antalet x sådana att A
Turkish: Bütün x'lerin sayısı öyle ki A

a/2
Bulgarian: a върху 2
English: a half
Galician: a medios
German: a Halbe
Hungarian: a per kettő / a-ban a kettő
Indonesian: a per dua / setengah a
Italian: a mezzi
Polish: połowa a
Portuguese: a sobre 2
Romanian:
Swedish: a halva / a genom två
Turkish: a'nın yarısı

wolog
Bulgarian:
English: without loss of generality (wolog/wlog)
German: ohne Beschränkung der Allgemeinheit (oBdA)
Hungarian: az általánosság megkötése nélkül
Indonesian: tanpa kehilangan sifat keumuman
Italian: senza perdere di generalità
Polish: bez utraty ogólności
Romanian:
Portuguese: sem perda de generalidade

QED
Bulgarian: което доказва, че
English: which was to prove (QED)
Finnish: mikä oli todistettavissa (MOT)
French: ce qu'il fallait démontrer (CQFD)
Galician: como queriamos demostrar (cqd)
German: was zu beweisen war / quod erat demonstrandum (QED)
Hungarian: bizonyítás vége (it's usually denoted by a special character, e. g. a filled square)
Indonesian: terbukti (QED)
Italian: come volevasi dimostrare (cvd) / come dovevasi dimostrare (cdd)
Polish: co było do udowodnienia (cbdu)
Portuguese: como queríamos demonstrar (cqd) / o que era preciso
Romanian: ceea ce trebuia demonstrat (cctd)
Swedish: vilket skulle bevisas (VSB)

iff
Bulgarian: ако и само ако
Dutch: dan en slechts dan als (desda)
English: if and only if (iff)
Finnish: jos ja vain jos (joss)
French: si et seulement si (ssi)
Galician: sí e só sí
German: genau dann, wenn (gdw.)
Hungarian: akkor és csak akkor (acsa / csakkor)
Indonesian: jika dan hanya jika (iff)
Italian: se e solo se (sse)
Polish: jeśli i tylko jeśli (iff)
Portuguese: se e só se (sse)
Romanian: dacă şi numai dacă
Swedish: om och endast om (omm)

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