s/n13440935

Information
has gloss	(noun) an operation that follows the rules of Boolean algebra; each operand and the result take one of two values binary arithmetic operation, boolean operation, binary operation
has gloss	eng: In mathematics, a binary operation is a calculation involving two operands, in other words, an operation whose arity is two. Examples include the familiar arithmetic operations of addition, subtraction, multiplication and division.
has gloss	eng: In mathematics, a binary operation, often denoted , on a set is a way of combining a pair of elements in that set that results in another element of the set. For example, if we take a pair of natural numbers and let the operation be addition, then their sum is also a natural number, and is the result of applying this particular binary operation. Another example of an operation on the natural numbers is multiplication. For instance, take the natural numbers 2 and 3. When multiplied together they give 6, another natural number.
lexicalization	eng: binary arithmetic operation
lexicalization	eng: Binary operations
lexicalization	eng: binary operation
lexicalization	eng: BinaryOperation
lexicalization	eng: boolean operation
subclass of	(noun) (computer science) data processing in which the result is completely specified by a rule (especially the processing that results from a single instruction); "it can perform millions of operations per second" operation
	Note: 12 other instance(s) ommited in the following list
has instance	e/Absorbing element
has instance	e/Alternativity
has instance	e/Anticommutativity
has instance	e/Band sum
has instance	e/Commutator
has instance	e/Cyclic convolution
has instance	e/Distributivity
has instance	e/Exclusive or
has instance	e/Ext functor
has instance	e/External (mathematics)
has instance	e/Icosian Calculus
has instance	e/Intersection (sets)
has instance	e/Inverse element
has instance	e/Iterated binary operation
has instance	e/Join (mathematics)
has instance	e/Join (topology)
has instance	e/Join and meet
has instance	e/Lagrange bracket
has instance	e/Lie bracket of vector fields
has instance	e/Light's associativity test
has instance	e/Logic alphabet
has instance	e/Logical biconditional
has instance	e/Logical conjunction
has instance	e/Logical disjunction
has instance	e/Negacyclic convolution
has instance	e/Pointwise product
has instance	e/Power associativity
has instance	e/Product of group subsets
has instance	e/Product of rings
has instance	e/Product topology
has instance	e/Proofs involving the addition of natural numbers
has instance	e/Seven-dimensional cross product
has instance	e/Smash product
has instance	e/Symmetric difference
has instance	e/Tensor product of modules
has instance	e/Tor functor
has instance	e/Wreath product
has instance	e/pl/Antykomutator
has instance	e/pl/Notacja postfiksowa
has instance	e/zh/環形摺積

Meaning
Arabic
has gloss	ara: العملية الثنائية أو كما تدعى أحيانا المعامل الثنائي هي عملية حسابية تتضمن مدخلين كميين ينتج عنها منتج كمي واحد، مثل جميع العمليات الأساسية في الحساب، كالجمع والضرب والقسمة.
lexicalization	ara: عمليات ثنائية
lexicalization	ara: عملية ثنائية
Bosnian
has gloss	bos: U matematici, binarna operacija je račun koji uključuje dvije ulazne vrijednosti, odnosno operacija čija je arnost dva. Binarne se operacije ostvaruju korištenjem ili binarne funkcije ili binarnog operatora. Primjeri uključuju poznate aritmetičke operacije kao što su sabiranje, oduzimanje, množenje i dijeljenje.
lexicalization	bos: binarna operacija
lexicalization	bos: Binarne operacije
Bulgarian
has gloss	bul: Бинарна операция или двучленна операция зададена в множеството M се нарича изображението M\times M \to M, което на всеки два елемента от множеството M, наричани операнди, съпоставя някакъв елемент от същото множество, наричан резултат. Бинарната операция е прието да се означава със знака за действие, който се поставя между операндите. Например, за бинарната операция «\cdot» резултатът от действието ѝ над два елемента x\,\! и y\,\! се записва във следния вид x\cdot y.
lexicalization	bul: Бинарна операция
Catalan
has gloss	cat: Una operació binària és aquella que està aplicada a dos objectes. En operar dos elements, se n’obté un tercer. Els símbols que representen les operacions binàries són diversos i sovint s'escriuen enmig dels dos elements a operar.
lexicalization	cat: Operació Binària
Czech
has gloss	ces: Binární operace je matematická operace, která pracuje se dvěma vstupními hodnotami (operandy).
lexicalization	ces: Binární operace
lexicalization	ces: binární operace
lexicalization	ces: booleovská operace
Danish
has gloss	dan: En binær operator på en mængde M er en funktion : M×M → M. Oftest bruger man notationen x y i stedet for den sædvanlige notation *(x, y) for funktioner.
lexicalization	dan: binær operator
German
has gloss	deu: Eine zweistellige Verknüpfung (auch binäre Verknüpfung genannt) ist in der Mathematik eine Verknüpfung, die genau zwei Operanden besitzt. Zweistellige Verknüpfungen treten insbesondere in der Algebra sehr häufig auf, und man spricht dort abkürzend auch von Verknüpfung ohne den Zusatz zweistellig. Es gibt aber auch Verknüpfungen mit anderer Stelligkeit, die zum Beispiel drei oder mehr Operanden miteinander verknüpfen.
lexicalization	deu: zweistellige Verknüpfung
Modern Greek (1453-)
lexicalization	ell: δυαδική πράξη
Esperanto
has gloss	epo: En la matematiko operacio estas kalkulo plenumata super konataj kvantoj por eltrovi unu aŭ plurajn kvantojn nekonatajn: la kvar bazaj operacioj aritmetikaj estas adicio, subtraho, multipliko kaj divido (vidu: Operacioj per nombroj).
lexicalization	epo: Duumaj operacioj
lexicalization	epo: operacio
Estonian
has gloss	est: Binaarne tehe ehk kahekohaline tehe ehk binaarne operatsioon ehk binaarne operaator ehk düaadiline tehe ehk düaadiline operatsioon on laiemas mõttes kahe muutuja funktsioon, kitsamas mõttes kahe muutuja funktsioon, mille argumendid kuuluvad tema muutumispiirkonda.
lexicalization	est: binaarne tehe
Persian
has gloss	fas: عمل دوتایی از مهم‌ترین و پرکاربرد ترین مفاهیم در جبر مجرد است.
lexicalization	fas: عمل دوتایی
lexicalization	fas: عملیات دوتایی
Finnish
has gloss	fin: Joukon A binäärioperaatio tai binäärinen operaatio on funktio * : A \times A \rightarrow A. Pohjimmiltaan se on abstrakti laskutoimitus.
lexicalization	fin: binäärioperaatio
French
has gloss	fra: Présentation Nous avons tous depuis le primaire une assez bonne idée de la notion dopérations telles que laddition, la soustraction, la multiplication ou la division. Une opération (interne) dans un ensemble est une relation interne dans cet ensemble, qui, à deux éléments quelconques de cet ensemble, appelés opérandes, en associe éventuellement un troisième, unique, nommé résultat, toujours dans ce même ensemble.
lexicalization	fra: Loi De Composition Interne
Gaelic
has gloss	gla: ::∀ x ∈ A, ∀ y ∈ A, x * y ∈ A
lexicalization	gla: obrachadh càraideach
Serbo-Croatian
has gloss	hbs: U matematici, binarna operacija je račun koji uključuje dve ulazne vrednosti ili drugim rečima, operacija čija je arnost dva. Binarne operacije se postižu korišćenjem bilo binarne funkcije ili binarnog operatora. Primeri uključuju poznate aritmetičke operacije kao što su sabiranje, oduzimanje, množenje i deljenje.
lexicalization	hbs: Binarna operacija
Hebrew
has gloss	heb: במתמטיקה, פעולה בינארית (או אופרטור בינארי) היא פעולה המתבצעת בין שני איברים בקבוצה (לא בהכרח שונים זה מזה), ותוצאתה היא איבר בקבוצה. בניסוח פורמלי יותר: פעולה בינארית היא פונקציה מזוגות סדורים של אברי הקבוצה אל הקבוצה, ובסימון מתמטי: עבור הקבוצה \ S פעולה בינארית היא פונקציה \ f מהמכפלה הקרטזית של הקבוצה בעצמה, אל הקבוצה: \ f: S\times S \to S.
lexicalization	heb: פעולה בינארית
Croatian
has gloss	hrv: U matematici, binarna operacija je račun koji uključuje dvije ulazne vrijednosti, odnosno operacija čija je arnost dva. Binarne se operacije ostvaruju korištenjem ili binarne funkcije ili binarnog operatora. Primjeri uključuju poznate aritmetičke operacije kao što su zbrajanje, oduzimanje, množenje i dijeljenje.
lexicalization	hrv: Binarna operacija
lexicalization	hrv: binarna operacija
Armenian
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lexicalization	hye: բուլյան գործողություն
lexicalization	hye: տրամաբանական գործողություն տարբերր գործատվյալների վրա
Indonesian
lexicalization	ind: Operasi biner
Italian
has gloss	ita: In matematica, unoperazione binaria è una funzione che richiede due argomenti dello stesso insieme X (si dice cioè che ha arietà 2) e restituisce un elemento di X. Formalmente, cioè, è una funzione * dal prodotto cartesiano X\times X in X: ::X\times X \to X\,\! Per indicare limmagine di una coppia di punti (x,y) si usa spesso la notazione infissa xy. L'operazione è quindi identificata dal simbolo "*". In alcuni casi si usano altri simboli, come il più "+" o il per "\times ".
lexicalization	ita: operazione binaria
Japanese
has gloss	jpn: 数学において、二項演算（にこうえんざん、binary operation）は、数の四則演算（加減乗除）などの「二つの数から新たな数を決定する規則」を一般化した概念である。二項算法（にこうさんぽう）、結合などともいう。
lexicalization	jpn: 二項演算
Korean
has gloss	kor: 이항연산이란 두 개의 연산자와 한 개의 피 연산자를 가지는 연산을 말한다. 대표적인 예로 덧셈, 뺄셈, 곱셈, 나눗셈과 같은 산술의 연산, 즉 사칙연산이 있다.
lexicalization	kor: 이항 연산
lexicalization	kor: 이항연산
Latvian
lexicalization	lav: Binārās operācijas
Literary Chinese
has gloss	lzh: 二元運算者，四則之抽象也。
lexicalization	lzh: 二元運算
Macedonian
lexicalization	mkd: Бинарни операции
Maori
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lexicalization	mri: paheko takirua
lexicalization	mri: paheko törua
lexicalization	mri: päheko takirua
Malay (macrolanguage)
has gloss	msa: Operasi dedua ialah sejenis operasi matematik yang menerima dua kendalian. Contoh-contoh operasi dedua yang terkenal ialah operasi tambah, tolak, darab, dan bahagi.
lexicalization	msa: operasi dedua
Dutch
has gloss	nld: In de wiskunde is een binaire operatie een bewerking, waar twee operanden bij betrokken zijn, met andere woorden een operatie met plaatsigheid twee. Binary operations kunnen zowel met een binaire functie of een binaire operator worden uitgevoerd. Binaire operaties worden soms dyadische operaties genoemd om verwarring met het binaire numerieke systeem te voorkomen. Voorbeelden op de verzameling van gehele getallen zijn de bekende rekenkundige basisoperaties, optellen, aftrekken, vermenigvuldigen and deling. Voor 2 getallen a en b definiëren ze een derde getal, respectievelijk a+b, a-b, a*b en a/b. Op de verzameling natuurlijke getallen is aftrekken volgens deze definitie géén binaire operatie, omdat niet voor iedere a, b in \N geldt dat ook f(a,b) = a-b een element is van \N.
lexicalization	nld: binaire operatie
Norwegian Nynorsk
has gloss	nno: Viss S er ei mengd, er ein binær operasjon er ein funksjon \cdot : S \times S \rightarrow S som tek to element frå S og gjev eit anna element i S som resultat. Det vil seie at viss a og b er to element i S, så er òg a\cdot b med i S.
lexicalization	nno: Binær operasjon
lexicalization	nno: Binære operasjonar
Norwegian
has gloss	nor: Begrepet binær operasjon refererer til en operasjon eller funksjon som tar imot to argumenter. Det vil si at operasjonen aritet er 2. Mer spesifikt er en binær operasjon en funksjon × sammen med en mengde S slik at × tar to elementer fra S og gir et annet element i S som resultat. Binære operasjoner kan utføres med enten binære funksjoner eller binære operander. Eksempler inkluderer de kjente aritmetiske operasjonene addisjon, multiplikasjon, divisjon og subtraksjon.
lexicalization	nor: binær operasjon
lexicalization	nor: Binæroperasjon
Occitan (post 1500)
has gloss	oci: En matematicas, e pus particularament en algèbra, una lèi de composicion intèrna (var. lei de composicion intèrna) dins un ensemble E es una operacion quen tot pareu delements de E fa correspòndre un tresen element de E, ques lo resultat de loperacion.
lexicalization	oci: Lei de composicion intèrna
lexicalization	oci: lèi de composicion intèrna
Polish
has gloss	pol: Działanie dwuargumentowe (binarne) to w matematyce funkcja, która każdej parze uporządkowanej dwóch elementów danego zbioru X przypisuje określony element pewnego zbioru Y.
lexicalization	pol: Działania dwuargumentowe
lexicalization	pol: Działanie dwuargumentowe
Portuguese
has gloss	por: Na matemática, uma operação binária ou 2-ária é uma operação com dois operandos. Uma operação binária é uma função com duas variáveis de entrada.
lexicalization	por: operação binária
Moldavian
lexicalization	ron: Operaţii binare
Russian
has gloss	rus: Бинарная операция — математическая операция, с арностью два.
lexicalization	rus: Бинарная операция
Slovak
has gloss	slk: Binárna operácia alebo dvojmiestna operácia alebo dvojprvková operácia alebo dvojčlenná operácia je úkon v matematike, ktorým sa ku každej usporiadanej dvojici prvkov (napríklad dvojici čísiel) z nejakej množiny (ľubovoľným spôsobom) priraďuje jediný tretí prvok (napríklad ďalšie číslo) z tej istej množiny. Ak existuje taký predpis, hovoríme, že na danej množine máme definovanú binárnu operáciu. Binárna operácia je jeden z najdôležitejších pojmov algebry.
lexicalization	slk: Binárna operácia
Slovenian
has gloss	slv: Dvočléna operácija (tudi binárna operácija) na množici S je v matematiki dvomestna funkcija, oziroma operacija oblike <font color=#6666FF> f : S × S → S.
lexicalization	slv: Dvočlena operacija
Serbian
has gloss	srp: У математици, бинарна операција је рачун који укључује две улазне вредности или другим речима, операција чија је арност два. Бинарне операције се постижу коришћењем било бинарне функције или бинарног оператора. Примери укључују познате аритметичке операције као што су сабирање, одузимање, множење и дељење.
lexicalization	srp: Бинарна операција
lexicalization	srp: Бинарне операције
Swedish
has gloss	swe: En binär operator, dyadisk operator, inre komposition eller binär operation är inom matematiken en kalkylering eller en operation med två indatakvantiteter, d.v.s. en operator med aritet 2.
lexicalization	swe: Binär operator
Thai
has gloss	tha: ในทางคณิตศาสตร์ การดำเนินการทวิภาค หมายถึงการคำนวณที่ต้องเกี่ยวข้องกับตัวถูกดำเนินการสองค่า หรือกล่าวอีกนัยหนึ่ง หมายถึงการดำเนินการที่มีอาริตี้ (arity) เท่ากับสอง การดำเนินการทวิภาคสามารถคำนวณให้สำเร็จได้โดยใช้ฟังก์ชันทวิภาคหรือตัวดำเนินการทวิภาคอย่างใดอย่างหนึ่ง การดำเนินการทวิภาคบางครั้งถูกเรียกว่าเป็น dyadic operation ในภาษาอังกฤษเพื่อหลีกเลี่ยงความสับสนกับระบบเลขฐานสอง (binary numeral system) ตัวอย่างการดำเนินการทวิภาคที่คุ้นเคยเช่น การบวก การลบ การคูณ และการหาร เป็นต้น
lexicalization	tha: การดำเนินการทวิภาค
Turkish
has gloss	tur: Eğer X bir kümeyse, X \times X kümesinden X kümesine giden bir fonksiyona X kümesi üzerine ikili işlem denir. İkili işlemi f:X\times X \longrightarrow X olarak gösterirsek, f(x,y) yerine genellikle x+y, x \times y, x \star y ya da daha yaygın olarak xy yazmak bir gelenek halini almıştır. Burada önemli olan, her x, y \in X için, işlemin sonucu olan x \star y elemanının gene X kümesinde olmasıdır, yoksa ikili bir işlemden söz edemeyiz. Örneğin, X = N (doğal sayılar kümesi) ise, x - y işlemi bu küme üzerinde ikili bir işlem değildir, çünkü, örneğin, 5-7 bir doğal sayı değildir. Öte yandan x\star y = 3 + xy + x + y olarak tanımlanan işlem doğal sayılar kümesi üzerine ikili bir işlemdir.
lexicalization	tur: İkili işlem
Ukrainian
has gloss	ukr: Біна́рна опера́ція (бінарний оператор) — це математичний об'єкт, що складається з двох величин і певної дії над ними.
lexicalization	ukr: бінарна операція
Vietnamese
has gloss	vie: Trong toán học, phép toán hai ngôi hay phép toán nhị nguyên là một phép toán sử dụng hai biến đầu vào và cho ra một kết quả. Các biến và kết quả đều thuộc một tập hợp. Cụ thể, một phép toán hai ngôi trên tập hợp S là một ánh xạ từ tích Đề các S × S vào S: :\,f \colon S \times S \rightarrow S.
lexicalization	vie: Phép toán hai ngôi
Chinese
has gloss	zho: 二元运算属于数学运算的一种。二元运算需要三个元素：二元运算符以及该运算符作用的两个变量。如四则运算的加、减、乘、除均属于二元运算。
lexicalization	zho: 二元运算
lexicalization	zho: 二元運算

Links
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similar	e/Binary operation

Word:	(case sensitive)
Language:	(ISO 639-3 code, e.g. "eng" for English)

s/n13440935

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