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There are no unpaired elements. In mathematical terms, a bijective function f: X → Y is a one-to-one (injective) and onto (surjective) mapping of a set X to a set Y. 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class="text-muted"> An Entity of Type: <a href="http://dbpedia.org/ontology/Disease">disease</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set. There are no unpaired elements. In mathematical terms, a bijective function f: X → Y is a one-to-one (injective) and onto (surjective) mapping of a set X to a set Y. The term one-to-one correspondence must not be confused with one-to-one function (an injective function; see figures). </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Bijection.svg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">En matemàtiques, una funció o aplicació bijectiva també anomenada simplement una bijecció és una funció f d'un conjunt X a un conjunt Y (f:X → Y) amb la propietat que per a cada y de Y hi ha exactament un x de X tal que . Desglossant aquesta propietat en d'altres importants podem dir que f és bijectiva si és una correspondència tal que tots els elements del domini tenen imatge (és a dir, és una funció), tots els elements del recorregut tenen una única antiimatge, (és a dir, és una funció injectiva) i al mateix temps tots els elements del codomini són al recorregut perquè són imatge d'algun element del domini (és a dir, és una funció suprajectiva). En definitiva, una funció injectiva i exhaustiva. D'una bijecció també se'n diu una permutació. Tot i que això es fa servir més habitualment quan . El conjunt de totes les bijeccions de X en Y es denota com a . De fet, quan existeix alguna bijecció entre dos conjunts X i Y es diu que aquests són equipotents i es nota . La relació d'equipotència és d'equivalència i conserva moltes propietats, com el cardinal. Les funcions bijectives juguen un paper fonamental en moltes àrees de les matemàtiques, per exemple en la definició d'isomorfismes (i conceptes relacionats com els homeomorfismes i els difeomorfismes), grup de permutacions, , i molts altres. (ca)</li> <li style="display:none;">في الرياضيات، الدالة التقابلية (بالإنجليزية: Bijective Function)‏ أو ببساطة، التقابل، هي دالة رياضية من مجموعة X إلى مجموعة Y حيث كل عنصر y من المجموعة المستقر Y ،هناك سابق واحد فقط x من المجموعة المنطلق X حيث يكون : f(x) = y أي أن y هي صورة x بالدالة f. (ar)</li> <li style="display:none;">Matematika funkcio nomiĝas dissurĵeto (aŭ bijekcio, aŭ inversigebla funkcio), se ĝi estas disĵeto kaj surĵeto. (eo)</li> <li>In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set. There are no unpaired elements. In mathematical terms, a bijective function f: X → Y is a one-to-one (injective) and onto (surjective) mapping of a set X to a set Y. The term one-to-one correspondence must not be confused with one-to-one function (an injective function; see figures). A bijection from the set X to the set Y has an inverse function from Y to X. If X and Y are finite sets, then the existence of a bijection means they have the same number of elements. For infinite sets, the picture is more complicated, leading to the concept of cardinal number—a way to distinguish the various sizes of infinite sets. A bijective function from a set to itself is also called a permutation, and the set of all permutations of a set forms the symmetric group. Bijective functions are essential to many areas of mathematics including the definitions of isomorphism, homeomorphism, diffeomorphism, permutation group, and projective map. (en)</li> <li style="display:none;">Bijektivität (zum Adjektiv bijektiv, welches etwa ‚umkehrbar eindeutig auf‘ bedeutet – daher auch der Begriff eineindeutig bzw. substantivisch entsprechend Eineindeutigkeit) ist ein mathematischer Begriff aus dem Bereich der Mengenlehre. Er bezeichnet eine spezielle Eigenschaft von Abbildungen und Funktionen. Bijektive Abbildungen und Funktionen nennt man auch Bijektionen. Zu einer mathematischen Struktur auftretende Bijektionen haben oft eigene Namen wie Isomorphismus, Diffeomorphismus, Homöomorphismus, Spiegelung oder Ähnliches. Hier sind dann in der Regel noch zusätzliche Forderungen in Hinblick auf die Erhaltung der jeweils betrachteten Struktur zu erfüllen. Zur Veranschaulichung kann man sagen, dass bei einer Bijektion eine vollständige Paarbildung zwischen den Elementen von Definitionsmenge und Zielmenge stattfindet. Bijektionen behandeln ihren Definitionsbereich und ihren Wertebereich also symmetrisch; deshalb hat eine bijektive Funktion immer eine Umkehrfunktion. Bei einer Bijektion haben die Definitionsmenge und die Zielmenge dieselbe Mächtigkeit, im Falle endlicher Mengen also gleich viele Elemente. Die Bijektion einer Menge auf sich selbst heißt auch Permutation. Auch hier gibt es in mathematischen Strukturen vielfach eigene Namen. Hat die Bijektion darüber hinausgehend strukturerhaltende Eigenschaften, spricht man von einem Automorphismus. Eine Bijektion zwischen zwei Mengen wird manchmal auch eine bijektive Korrespondenz genannt. (de)</li> <li style="display:none;">Matematikan, bijekzioa edo funtzio bijektiboa funtzio bat da, aldi berean injektiboa eta supraiektiboa dena; hau da, X multzoko elementu bakoitzari Y multzoko elementu bat dagokio, eta Y multzoko edozein y elementuri y = f(x) funtzioa beteko duen X multzoko x elementu bakarra dagokio. Formalki, Aurrekoaren ondorio zuzena hau da: funtzio bijektibo batean abiaburu-multzoko edo Definizio-eremuaren kardinalitatea, eta helburu-multzoarena edo irudi-multzoarena, berbera da. Hori adibidean ikus daiteke, non |X|=|Y|=4 den. (eu)</li> <li style="display:none;">En matemáticas, una función es biyectiva si es al mismo tiempo inyectiva y sobreyectiva; es decir, si todos los elementos del conjunto de salida tienen una imagen distinta en el conjunto de llegada, y a cada elemento del conjunto de llegada le corresponde un elemento del conjunto de salida. Formalmente, dada una función : La función es biyectiva si se cumple la siguiente condición: Es decir, para todo de se cumple que existe un único de , tal que la función evaluada en es igual a . Dados dos conjuntos finitos e , entonces existirá una biyección entre ambos si y solo si e tienen el mismo número de elementos. (es)</li> <li style="display:none;">En mathématiques, une bijection est une application bijective. Une application est bijective si tout élément de son ensemble d'arrivée a un et un seul antécédent, c'est-à-dire est image d'exactement un élément (de son domaine de définition), ou encore si elle est à la fois injective et surjective. Les bijections sont aussi parfois appelées correspondances biunivoques. On peut remarquer que dans cette définition, on n'impose pas de condition aux éléments de l'ensemble de départ, autre que celle qui définit une application : tout élément a une image et une seule. S'il existe une bijection f d'un ensemble E dans un ensemble F alors il en existe une de F dans E : la bijection réciproque de f, qui à chaque élément de F associe son antécédent par f. On peut alors dire que ces ensembles sont en bijection, ou équipotents. Cantor a le premier démontré que s'il existe une injection de E vers F et une injection de F vers E (non nécessairement surjectives), alors E et F sont équipotents (c'est le théorème de Cantor-Bernstein). Si deux ensembles finis sont équipotents alors ils ont le même nombre d'éléments. L'extension de cette équivalence aux ensembles infinis a mené au concept de cardinal d'un ensemble, et à distinguer différentes tailles d'ensembles infinis, qui sont des classes d'équipotence. Ainsi, on peut par exemple montrer que l'ensemble des entiers naturels est de même taille que l'ensemble des rationnels, mais de taille strictement inférieure à l'ensemble des réels. En effet, de dans , il existe des injections mais pas de surjection. (fr)</li> <li style="display:none;">Dalam matematika, bijeksi, fungsi bijektif, korespondensi satu-ke-satu, atau fungsi terbalikkan adalah fungsi yang melibatkan elemen-elemen dari dua himpunan. Setiap elemen dari satu himpunan dipasangkan dengan tepat ke satu elemen dari himpunan lainnya. Setiap elemen dari himpunan lainnya dipasangkan dengan tepat ke satu elemen dari himpunan pertama. Tidak ada elemen yang tidak berpasangan atau memiliki lebih dari satu pasangan. Dalam istilah matematika, fungsi bijektif f: X → Y adalah pemetaan satu-ke-satu (injeksi) dan onto (surjektif) dari himpunan X ke himpunan Y. Istilah korespondensi satu-ke-satu tidak boleh disalahartikan dengan fungsi satu-ke-satu (fungsi injeksi). Sebuah bijeksi dari himpunan X ke himpunan Y memiliki fungsi invers dari Y ke X. Jika X dan Y adalah himpunan hingga, maka keberadaan suatu bijeksi berarti bahwa kedua himpunan tersebut memiliki jumlah elemen yang sama. Untuk himpunan tak berhingga, digunakan konsep bilangan kardinal—cara untuk membedakan berbagai ukuran himpunan tak berhingga. Fungsi bijektif dari suatu himpunan ke dirinya sendiri disebut permutasi dan himpunan semua permutasi dari suatu himpunan membentuk sebuah grup simetris. Fungsi bijektif sangat penting dalam berbagai bidang matematika termasuk definisi isomorfisme, homeomorfisme, difeomorfisme, kelompok permutasi, dan peta projektif. (in)</li> <li style="display:none;">数学において、全単射（ぜんたんしゃ）あるいは双射（そうしゃ）(bijective function, bijection) とは、写像であって、その写像の終域となる集合の任意の元に対し、その元を写像の像とする元が、写像の定義域となる集合に常にただ一つだけ存在するようなもの、すなわち単射かつ全射であるような写像のことを言う。例としては、群論で扱われる置換が挙げられる。全単射であることを1対1上への写像[上への1対1写像] (one-to-one onto mapping)あるいは1対1対応 (one-to-one correspondence) ともいうが、紛らわしいのでここでは使用しない。写像 f が全単射のとき、f は可逆であるともいう。 (ja)</li> <li style="display:none;">In matematica una corrispondenza biunivoca tra due insiemi e è una relazione binaria tra e , tale che ad ogni elemento di corrisponda uno ed un solo elemento di , e viceversa ad ogni elemento di corrisponda uno ed un solo elemento di . In particolare, la corrispondenza biunivoca è una relazione di equivalenza. Lo stesso concetto può anche essere espresso usando le funzioni. Si dice che una funzione è biiettiva se per ogni elemento di vi è uno e un solo elemento di tale che . Una tale funzione è detta anche biiezione, bigezione, funzione bigettiva o funzione biunivoca. (it)</li> <li style="display:none;">수학에서 전단사 함수(全單射函數, 영어: bijection, bijective function)는 두 집합 사이를 중복 없이 모두 일대일로 대응시키는 함수이다. 일대일 대응(一對一對應, 영어: one-to-one correspondence)이라고도 한다. (ko)</li> <li style="display:none;">In de wiskunde is een bijectie, bijectieve afbeelding of een-op-een-correspondentie een afbeelding of functie, die zowel injectief als surjectief is, dus alle elementen van twee verzamelingen een-op-een aan elkaar koppelt. Bijectief wil dus zeggen dat ieder element uit het domein gekoppeld is aan precies één element uit het codomein en dat omgekeerd ook ieder element van gekoppeld is aan precies één element uit . Een correspondentie is een tweeplaatsige relatie, die zowel links- als rechtsvolledig is. Voor elke bijectie van een verzameling op een verzameling bestaat er een inverse functie van naar , die zelf ook een bijectie is. Een bijectie van een verzameling op zichzelf wordt wel een permutatie genoemd. Bijecties zijn essentieel voor veel deelgebieden binnen de wiskunde, voor onder meer de definities van permutatiegroep, isomorfisme, homeomorfisme en diffeomorfisme. De aanduiding 'bijectieve afbeelding' werd geïntroduceerd door Bourbaki. (nl)</li> <li style="display:none;">Funkcja wzajemnie jednoznaczna, bijekcja – wzajemnie jednoznaczna odpowiedniość między elementami dwóch zbiorów, czyli funkcja będąca jednocześnie iniekcją i suriekcją (funkcją różnowartościową i funkcją „na”). Równoważnie: * funkcja jest bijekcją wtedy i tylko wtedy, gdy istnieje funkcja do niej odwrotna – również i ona jest bijekcją; * przy bijekcji przeciwobraz każdego singletonu również jest singletonem. Bijekcje pozwalają zdefiniować rozmaite relacje równoważności między obiektami, m.in.: * równoliczności zbiorów w kombinatoryce i teorii mnogościi, * izomorfizmu struktur w algebrze abstrakcyjnej i teorii kategorii; * homeomorfizmu, izometrii i dyfeomorfizmu przestrzeni w topologii. Duże znaczenie odgrywają też bijekcje , tj. przekształcające zbiór w siebie (f:X→X). Bywają nazywane permutacjami – zwłaszcza dla zbiorów skończonych – i tworzą struktury znane jako grupy symetryczne; przekształcenia te pozwalają zdefiniować symetrię figur i innych obiektów. Bijekcje zbioru w siebie po nałożeniu dodatkowych warunków tworzą podgrupy grup symetrycznych, np. grupy alternujące, grupy automorfizmów, izometrii czy dyfeomorfizmów. Szczególnym rodzajem endobijekcji są też inwolucje i inne funkcje torsyjne (skończonego rzędu). Termin bijekcja powstał najpóźniej w 1954 roku, kiedy pojawił się w pracy zespołu Nicolas Bourbaki. (pl)</li> <li style="display:none;">Uma função bijetiva, função bijetora, correspondência biunívoca ou bijeção, é uma função injectiva e sobrejectiva (injetora e sobrejetora, como é mais comum em português brasileiro). * Uma função bijetiva (injetiva e sobrejetiva ao mesmo tempo) * Função injetiva, mas não sobrejetiva (portanto não é bijetiva) * Função sobrejetiva, mas não injetiva (portanto não é bijetiva) * Função nem injetiva nem sobrejetiva (portanto não é bijetiva) Os termos injectiva, sobrejectiva e bijectiva se popularizaram devido ao seu uso por Nicolas Bourbaki. (pt)</li> <li style="display:none;">En bijektiv funktion är en funktion, som är injektiv och surjektiv. En alternativ definition av bijektiv funktion kan uttryckas som: En bijektiv funktion är en funktion f, från mängden X till mängden Y, som är omvändbar och sådan att f:s definitionsmängd Df = X och f:s värdemängd Vf = Y. * En injektiv och surjektiv funktion och därmed en bijektiv funktion * En injektiv men ej surjektiv funktion och därmed ej en bijektiv funktion * En surjektiv men ej injektiv funktion och därmed ej en bijektiv funktion (sv)</li> <li style="display:none;">Бие́кция — отображение, которое является одновременно и сюръективным, и инъективным. При биективном отображении каждому элементу одного множества соответствует ровно один элемент другого множества, при этом определено обратное отображение, которое обладает тем же свойством. Поэтому биективное отображение называют также взаимно однозначным отображением (соответствием). Биективное отображение, являющееся гомоморфизмом, называют изоморфным соответствием. Если между двумя множествами можно установить взаимно однозначное соответствие (биекцию), то такие множества называются равномощными. С точки зрения теории множеств, равномощные множества неразличимы. Взаимно однозначное отображение конечного множества на себя называется перестановкой (или подстановкой) элементов этого множества. Формально, функция называется биекцией (и обозначается ), если она: * переводит разные элементы множества в разные элементы множества (инъективность):. * любой элемент из имеет свой прообраз (сюръективность):. Примеры: * Тождественное отображение на множестве биективно. * — биективные функции из в себя; вообще, любой моном одной переменной нечетной степени является биекцией из в себя. * — биективная функция из в . * не является биективной функцией, если считать её определённой на всём . * Строго монотонная и непрерывная функция является биекцией из отрезка на отрезок . Функция является биективной тогда и только тогда, когда существует обратная функция такая, что: и Если функции и биективны, то и композиция функций биективна, в этом случае , то есть, композиция биекций является биекцией. Обратное в общем случае неверно: если биективна, то можно лишь утверждать, что инъективна, а сюръективна. (ru)</li> <li style="display:none;">Бієкція (бієктивна функція, бієктивне відображення, взаємно однозначна відповідність) — в математиці відображення, яке є одночасно сюр'єктивним та ін'єктивним. Інтуїтивно можна визначити бієкцію як відповідність, яка асоціює один елемент вхідної множини з одним і тільки одним елементом результуючої множини і навпаки, одному елементу результуючої множини зіставляється один і лише один елемент вхідної множини. Тобто, відображення f: X→Y є бієктивним, коли кожному елементу y з множини Y зіставлений один і лише один елемент x з множини X, і f(x) = y. В теорії множин стверджується, що бієкцію між двома множинами X та Y можна встановити тоді і лише тоді, коли ці множини є рівнопотужними. (uk)</li> <li style="display:none;">數學中，一個由集合映射至集合的函數，若對每一在內的，存在唯一一個在內的与其对应，且對每一在內的，存在唯一一個在內的与其对应，則此函數為對射函數。換句話說，如果其為兩集合間的一一對應，则是雙射的。即，同時為單射和滿射。例如，由整數集合至的函數，其將每一個整數連結至整數，這是一個雙射函數；再看一個例子，函數，其將每一對實數連結至，這也是個雙射函數。一雙射函數亦簡稱為雙射（英語：bijection）或置換。後者一般較常使用在時。以由至的所有雙射組成的集合標記為。雙射函數在許多數學領域扮演著很基本的角色，如在同構的定義（以及如同胚和等相關概念）、置換群、投影映射及許多其他概念的基本上。 (zh)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail">dbo:thumbnail</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Bijection.svg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Bijection.svg?width=300">wiki-commons:Special:FilePath/Bijection.svg?width=300</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink">dbo:wikiPageExternalLink</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" 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المستقر Y ،هناك سابق واحد فقط x من المجموعة المنطلق X حيث يكون : f(x) = y أي أن y هي صورة x بالدالة f. (ar)</li> <li style="display:none;">Matematika funkcio nomiĝas dissurĵeto (aŭ bijekcio, aŭ inversigebla funkcio), se ĝi estas disĵeto kaj surĵeto. (eo)</li> <li style="display:none;">Matematikan, bijekzioa edo funtzio bijektiboa funtzio bat da, aldi berean injektiboa eta supraiektiboa dena; hau da, X multzoko elementu bakoitzari Y multzoko elementu bat dagokio, eta Y multzoko edozein y elementuri y = f(x) funtzioa beteko duen X multzoko x elementu bakarra dagokio. Formalki, Aurrekoaren ondorio zuzena hau da: funtzio bijektibo batean abiaburu-multzoko edo Definizio-eremuaren kardinalitatea, eta helburu-multzoarena edo irudi-multzoarena, berbera da. Hori adibidean ikus daiteke, non |X|=|Y|=4 den. (eu)</li> <li style="display:none;">数学において、全単射（ぜんたんしゃ）あるいは双射（そうしゃ）(bijective function, bijection) とは、写像であって、その写像の終域となる集合の任意の元に対し、その元を写像の像とする元が、写像の定義域となる集合に常にただ一つだけ存在するようなもの、すなわち単射かつ全射であるような写像のことを言う。例としては、群論で扱われる置換が挙げられる。全単射であることを1対1上への写像[上への1対1写像] (one-to-one onto mapping)あるいは1対1対応 (one-to-one correspondence) ともいうが、紛らわしいのでここでは使用しない。写像 f が全単射のとき、f は可逆であるともいう。 (ja)</li> <li style="display:none;">In matematica una corrispondenza biunivoca tra due insiemi e è una relazione binaria tra e , tale che ad ogni elemento di corrisponda uno ed un solo elemento di , e viceversa ad ogni elemento di corrisponda uno ed un solo elemento di . In particolare, la corrispondenza biunivoca è una relazione di equivalenza. Lo stesso concetto può anche essere espresso usando le funzioni. Si dice che una funzione è biiettiva se per ogni elemento di vi è uno e un solo elemento di tale che . Una tale funzione è detta anche biiezione, bigezione, funzione bigettiva o funzione biunivoca. (it)</li> <li style="display:none;">수학에서 전단사 함수(全單射函數, 영어: bijection, bijective function)는 두 집합 사이를 중복 없이 모두 일대일로 대응시키는 함수이다. 일대일 대응(一對一對應, 영어: one-to-one correspondence)이라고도 한다. (ko)</li> <li style="display:none;">Uma função bijetiva, função bijetora, correspondência biunívoca ou bijeção, é uma função injectiva e sobrejectiva (injetora e sobrejetora, como é mais comum em português brasileiro). * Uma função bijetiva (injetiva e sobrejetiva ao mesmo tempo) * Função injetiva, mas não sobrejetiva (portanto não é bijetiva) * Função sobrejetiva, mas não injetiva (portanto não é bijetiva) * Função nem injetiva nem sobrejetiva (portanto não é bijetiva) Os termos injectiva, sobrejectiva e bijectiva se popularizaram devido ao seu uso por Nicolas Bourbaki. (pt)</li> <li style="display:none;">En bijektiv funktion är en funktion, som är injektiv och surjektiv. En alternativ definition av bijektiv funktion kan uttryckas som: En bijektiv funktion är en funktion f, från mängden X till mängden Y, som är omvändbar och sådan att f:s definitionsmängd Df = X och f:s värdemängd Vf = Y. * En injektiv och surjektiv funktion och därmed en bijektiv funktion * En injektiv men ej surjektiv funktion och därmed ej en bijektiv funktion * En surjektiv men ej injektiv funktion och därmed ej en bijektiv funktion (sv)</li> <li style="display:none;">數學中，一個由集合映射至集合的函數，若對每一在內的，存在唯一一個在內的与其对应，且對每一在內的，存在唯一一個在內的与其对应，則此函數為對射函數。換句話說，如果其為兩集合間的一一對應，则是雙射的。即，同時為單射和滿射。例如，由整數集合至的函數，其將每一個整數連結至整數，這是一個雙射函數；再看一個例子，函數，其將每一對實數連結至，這也是個雙射函數。一雙射函數亦簡稱為雙射（英語：bijection）或置換。後者一般較常使用在時。以由至的所有雙射組成的集合標記為。雙射函數在許多數學領域扮演著很基本的角色，如在同構的定義（以及如同胚和等相關概念）、置換群、投影映射及許多其他概念的基本上。 (zh)</li> <li style="display:none;">En matemàtiques, una funció o aplicació bijectiva també anomenada simplement una bijecció és una funció f d'un conjunt X a un conjunt Y (f:X → Y) amb la propietat que per a cada y de Y hi ha exactament un x de X tal que . D'una bijecció també se'n diu una permutació. Tot i que això es fa servir més habitualment quan . El conjunt de totes les bijeccions de X en Y es denota com a . De fet, quan existeix alguna bijecció entre dos conjunts X i Y es diu que aquests són equipotents i es nota . La relació d'equipotència és d'equivalència i conserva moltes propietats, com el cardinal. (ca)</li> <li>In mathematics, a bijection, also known as a bijective function, one-to-one correspondence, or invertible function, is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set. There are no unpaired elements. In mathematical terms, a bijective function f: X → Y is a one-to-one (injective) and onto (surjective) mapping of a set X to a set Y. The term one-to-one correspondence must not be confused with one-to-one function (an injective function; see figures). (en)</li> <li style="display:none;">Bijektivität (zum Adjektiv bijektiv, welches etwa ‚umkehrbar eindeutig auf‘ bedeutet – daher auch der Begriff eineindeutig bzw. substantivisch entsprechend Eineindeutigkeit) ist ein mathematischer Begriff aus dem Bereich der Mengenlehre. Er bezeichnet eine spezielle Eigenschaft von Abbildungen und Funktionen. Bijektive Abbildungen und Funktionen nennt man auch Bijektionen. Zu einer mathematischen Struktur auftretende Bijektionen haben oft eigene Namen wie Isomorphismus, Diffeomorphismus, Homöomorphismus, Spiegelung oder Ähnliches. Hier sind dann in der Regel noch zusätzliche Forderungen in Hinblick auf die Erhaltung der jeweils betrachteten Struktur zu erfüllen. (de)</li> <li style="display:none;">En matemáticas, una función es biyectiva si es al mismo tiempo inyectiva y sobreyectiva; es decir, si todos los elementos del conjunto de salida tienen una imagen distinta en el conjunto de llegada, y a cada elemento del conjunto de llegada le corresponde un elemento del conjunto de salida. Formalmente, dada una función : La función es biyectiva si se cumple la siguiente condición: Es decir, para todo de se cumple que existe un único de , tal que la función evaluada en es igual a . (es)</li> <li style="display:none;">En mathématiques, une bijection est une application bijective. Une application est bijective si tout élément de son ensemble d'arrivée a un et un seul antécédent, c'est-à-dire est image d'exactement un élément (de son domaine de définition), ou encore si elle est à la fois injective et surjective. Les bijections sont aussi parfois appelées correspondances biunivoques. On peut remarquer que dans cette définition, on n'impose pas de condition aux éléments de l'ensemble de départ, autre que celle qui définit une application : tout élément a une image et une seule. (fr)</li> <li style="display:none;">Dalam matematika, bijeksi, fungsi bijektif, korespondensi satu-ke-satu, atau fungsi terbalikkan adalah fungsi yang melibatkan elemen-elemen dari dua himpunan. Setiap elemen dari satu himpunan dipasangkan dengan tepat ke satu elemen dari himpunan lainnya. Setiap elemen dari himpunan lainnya dipasangkan dengan tepat ke satu elemen dari himpunan pertama. Tidak ada elemen yang tidak berpasangan atau memiliki lebih dari satu pasangan. Dalam istilah matematika, fungsi bijektif f: X → Y adalah pemetaan satu-ke-satu (injeksi) dan onto (surjektif) dari himpunan X ke himpunan Y. Istilah korespondensi satu-ke-satu tidak boleh disalahartikan dengan fungsi satu-ke-satu (fungsi injeksi). (in)</li> <li style="display:none;">In de wiskunde is een bijectie, bijectieve afbeelding of een-op-een-correspondentie een afbeelding of functie, die zowel injectief als surjectief is, dus alle elementen van twee verzamelingen een-op-een aan elkaar koppelt. Bijectief wil dus zeggen dat ieder element uit het domein gekoppeld is aan precies één element uit het codomein en dat omgekeerd ook ieder element van gekoppeld is aan precies één element uit . Een correspondentie is een tweeplaatsige relatie, die zowel links- als rechtsvolledig is. (nl)</li> <li style="display:none;">Funkcja wzajemnie jednoznaczna, bijekcja – wzajemnie jednoznaczna odpowiedniość między elementami dwóch zbiorów, czyli funkcja będąca jednocześnie iniekcją i suriekcją (funkcją różnowartościową i funkcją „na”). Równoważnie: * funkcja jest bijekcją wtedy i tylko wtedy, gdy istnieje funkcja do niej odwrotna – również i ona jest bijekcją; * przy bijekcji przeciwobraz każdego singletonu również jest singletonem. Bijekcje pozwalają zdefiniować rozmaite relacje równoważności między obiektami, m.in.: Termin bijekcja powstał najpóźniej w 1954 roku, kiedy pojawił się w pracy zespołu Nicolas Bourbaki. (pl)</li> <li style="display:none;">Бие́кция — отображение, которое является одновременно и сюръективным, и инъективным. При биективном отображении каждому элементу одного множества соответствует ровно один элемент другого множества, при этом определено обратное отображение, которое обладает тем же свойством. Поэтому биективное отображение называют также взаимно однозначным отображением (соответствием). Биективное отображение, являющееся гомоморфизмом, называют изоморфным соответствием. Взаимно однозначное отображение конечного множества на себя называется перестановкой (или подстановкой) элементов этого множества. Примеры: и (ru)</li> <li style="display:none;">Бієкція (бієктивна функція, бієктивне відображення, взаємно однозначна відповідність) — в математиці відображення, яке є одночасно сюр'єктивним та ін'єктивним. Інтуїтивно можна визначити бієкцію як відповідність, яка асоціює один елемент вхідної множини з одним і тільки одним елементом результуючої множини і навпаки, одному елементу результуючої множини зіставляється один і лише один елемент вхідної множини. Тобто, відображення f: X→Y є бієктивним, коли кожному елементу y з множини Y зіставлений один і лише один елемент x з множини X, і f(x) = y. (uk)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label">rdfs:label</a> </td><td class="col-10 text-break"><ul> <li>Bijection (en)</li> <li style="display:none;">تقابل (دالة) (ar)</li> <li style="display:none;">Funció bijectiva (ca)</li> <li style="display:none;">Bijekce (cs)</li> <li style="display:none;">Bijektive Funktion (de)</li> <li style="display:none;">Dissurĵeto (eo)</li> <li style="display:none;">Función biyectiva (es)</li> <li style="display:none;">Bijekzio (eu)</li> <li style="display:none;">Bijeksi (in)</li> <li style="display:none;">Bijection (fr)</li> <li style="display:none;">Corrispondenza biunivoca (it)</li> <li style="display:none;">全単射 (ja)</li> <li style="display:none;">전단사 함수 (ko)</li> <li style="display:none;">Bijectie (nl)</li> <li style="display:none;">Funkcja wzajemnie jednoznaczna (pl)</li> <li style="display:none;">Função bijectiva (pt)</li> <li style="display:none;">Биекция (ru)</li> <li style="display:none;">Bijektiv funktion (sv)</li> <li style="display:none;">Бієкція (uk)</li> <li style="display:none;">双射 (zh)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs">owl:sameAs</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="owl:sameAs" resource="http://rdf.freebase.com/ns/m.018_c" href="http://rdf.freebase.com/ns/m.018_c">freebase:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://yago-knowledge.org/resource/Bijection" href="http://yago-knowledge.org/resource/Bijection">yago-res:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://www.wikidata.org/entity/Q180907" href="http://www.wikidata.org/entity/Q180907">wikidata:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ar.dbpedia.org/resource/تقابل_(دالة)" href="http://ar.dbpedia.org/resource/تقابل_(دالة)">dbpedia-ar:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://be.dbpedia.org/resource/Біекцыя" href="http://be.dbpedia.org/resource/Біекцыя">dbpedia-be:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://bg.dbpedia.org/resource/Биекция" href="http://bg.dbpedia.org/resource/Биекция">dbpedia-bg:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://bs.dbpedia.org/resource/Bijekcija" href="http://bs.dbpedia.org/resource/Bijekcija">http://bs.dbpedia.org/resource/Bijekcija</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ca.dbpedia.org/resource/Funció_bijectiva" href="http://ca.dbpedia.org/resource/Funció_bijectiva">dbpedia-ca:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://cs.dbpedia.org/resource/Bijekce" href="http://cs.dbpedia.org/resource/Bijekce">dbpedia-cs:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://da.dbpedia.org/resource/Bijektiv" href="http://da.dbpedia.org/resource/Bijektiv">dbpedia-da:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://de.dbpedia.org/resource/Bijektive_Funktion" href="http://de.dbpedia.org/resource/Bijektive_Funktion">dbpedia-de:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://eo.dbpedia.org/resource/Dissurĵeto" href="http://eo.dbpedia.org/resource/Dissurĵeto">dbpedia-eo:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://es.dbpedia.org/resource/Función_biyectiva" href="http://es.dbpedia.org/resource/Función_biyectiva">dbpedia-es:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://eu.dbpedia.org/resource/Bijekzio" href="http://eu.dbpedia.org/resource/Bijekzio">dbpedia-eu:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://fa.dbpedia.org/resource/تناظر_دوسویه" href="http://fa.dbpedia.org/resource/تناظر_دوسویه">dbpedia-fa:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://fi.dbpedia.org/resource/Bijektio" href="http://fi.dbpedia.org/resource/Bijektio">dbpedia-fi:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://fr.dbpedia.org/resource/Bijection" href="http://fr.dbpedia.org/resource/Bijection">dbpedia-fr:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://he.dbpedia.org/resource/פונקציה_חד-חד-ערכית_ועל" href="http://he.dbpedia.org/resource/פונקציה_חד-חד-ערכית_ועל">dbpedia-he:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://hi.dbpedia.org/resource/द्विअंतथक्षेपण" href="http://hi.dbpedia.org/resource/द्विअंतथक्षेपण">http://hi.dbpedia.org/resource/द्विअंतथक्षेपण</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://hr.dbpedia.org/resource/Bijekcija" href="http://hr.dbpedia.org/resource/Bijekcija">dbpedia-hr:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://hu.dbpedia.org/resource/Bijekció" href="http://hu.dbpedia.org/resource/Bijekció">dbpedia-hu:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://hy.dbpedia.org/resource/Փոխմիարժեք_համապատասխանություն" href="http://hy.dbpedia.org/resource/Փոխմիարժեք_համապատասխանություն">http://hy.dbpedia.org/resource/Փոխմիարժեք_համապատասխանություն</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ia.dbpedia.org/resource/Bijection" href="http://ia.dbpedia.org/resource/Bijection">http://ia.dbpedia.org/resource/Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://id.dbpedia.org/resource/Bijeksi" href="http://id.dbpedia.org/resource/Bijeksi">dbpedia-id:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://io.dbpedia.org/resource/Bijektio" href="http://io.dbpedia.org/resource/Bijektio">dbpedia-io:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://is.dbpedia.org/resource/Gagntæk_vörpun" href="http://is.dbpedia.org/resource/Gagntæk_vörpun">dbpedia-is:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://it.dbpedia.org/resource/Corrispondenza_biunivoca" href="http://it.dbpedia.org/resource/Corrispondenza_biunivoca">dbpedia-it:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ja.dbpedia.org/resource/全単射" href="http://ja.dbpedia.org/resource/全単射">dbpedia-ja:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://kk.dbpedia.org/resource/Өзара_бірмәнді_сәйкестік" href="http://kk.dbpedia.org/resource/Өзара_бірмәнді_сәйкестік">dbpedia-kk:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ko.dbpedia.org/resource/전단사_함수" href="http://ko.dbpedia.org/resource/전단사_함수">dbpedia-ko:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://la.dbpedia.org/resource/Functio_biiectiva" href="http://la.dbpedia.org/resource/Functio_biiectiva">dbpedia-la:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://lmo.dbpedia.org/resource/Bigezzion" href="http://lmo.dbpedia.org/resource/Bigezzion">dbpedia-lmo:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://lt.dbpedia.org/resource/Bijekcija" href="http://lt.dbpedia.org/resource/Bijekcija">http://lt.dbpedia.org/resource/Bijekcija</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://mk.dbpedia.org/resource/Бијекција" href="http://mk.dbpedia.org/resource/Бијекција">dbpedia-mk:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://nl.dbpedia.org/resource/Bijectie" href="http://nl.dbpedia.org/resource/Bijectie">dbpedia-nl:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://nn.dbpedia.org/resource/Bijeksjon" href="http://nn.dbpedia.org/resource/Bijeksjon">dbpedia-nn:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://no.dbpedia.org/resource/Bijeksjon" href="http://no.dbpedia.org/resource/Bijeksjon">dbpedia-no:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://oc.dbpedia.org/resource/Bijeccion" href="http://oc.dbpedia.org/resource/Bijeccion">dbpedia-oc:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://pl.dbpedia.org/resource/Funkcja_wzajemnie_jednoznaczna" href="http://pl.dbpedia.org/resource/Funkcja_wzajemnie_jednoznaczna">dbpedia-pl:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://pt.dbpedia.org/resource/Função_bijectiva" href="http://pt.dbpedia.org/resource/Função_bijectiva">dbpedia-pt:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ro.dbpedia.org/resource/Corespondență_biunivocă" href="http://ro.dbpedia.org/resource/Corespondență_biunivocă">dbpedia-ro:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ru.dbpedia.org/resource/Биекция" href="http://ru.dbpedia.org/resource/Биекция">dbpedia-ru:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://sco.dbpedia.org/resource/Bijection" href="http://sco.dbpedia.org/resource/Bijection">http://sco.dbpedia.org/resource/Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://simple.dbpedia.org/resource/Bijective_function" href="http://simple.dbpedia.org/resource/Bijective_function">dbpedia-simple:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://sk.dbpedia.org/resource/Bijektívne_zobrazenie" href="http://sk.dbpedia.org/resource/Bijektívne_zobrazenie">dbpedia-sk:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://sl.dbpedia.org/resource/Bijektivna_preslikava" href="http://sl.dbpedia.org/resource/Bijektivna_preslikava">dbpedia-sl:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://sr.dbpedia.org/resource/Бијекција" href="http://sr.dbpedia.org/resource/Бијекција">dbpedia-sr:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://sv.dbpedia.org/resource/Bijektiv_funktion" href="http://sv.dbpedia.org/resource/Bijektiv_funktion">dbpedia-sv:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://ta.dbpedia.org/resource/இருவழிக்கோப்பு" href="http://ta.dbpedia.org/resource/இருவழிக்கோப்பு">http://ta.dbpedia.org/resource/இருவழிக்கோப்பு</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://th.dbpedia.org/resource/ฟังก์ชันหนึ่งต่อหนึ่งทั่วถึง" href="http://th.dbpedia.org/resource/ฟังก์ชันหนึ่งต่อหนึ่งทั่วถึง">dbpedia-th:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://tr.dbpedia.org/resource/Birebir_örten_fonksiyon" href="http://tr.dbpedia.org/resource/Birebir_örten_fonksiyon">dbpedia-tr:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://uk.dbpedia.org/resource/Бієкція" href="http://uk.dbpedia.org/resource/Бієкція">dbpedia-uk:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://vi.dbpedia.org/resource/Song_ánh" href="http://vi.dbpedia.org/resource/Song_ánh">dbpedia-vi:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="http://zh.dbpedia.org/resource/双射" href="http://zh.dbpedia.org/resource/双射">dbpedia-zh:Bijection</a></li> <li><a class="uri" rel="owl:sameAs" resource="https://global.dbpedia.org/id/jjM3" href="https://global.dbpedia.org/id/jjM3">https://global.dbpedia.org/id/jjM3</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/ns/prov#wasDerivedFrom">prov:wasDerivedFrom</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="prov:wasDerivedFrom" resource="http://en.wikipedia.org/wiki/Bijection?oldid=1121358460&ns=0" href="http://en.wikipedia.org/wiki/Bijection?oldid=1121358460&ns=0">wikipedia-en:Bijection?oldid=1121358460&ns=0</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://xmlns.com/foaf/0.1/depiction">foaf:depiction</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Bijection.svg" href="http://commons.wikimedia.org/wiki/Special:FilePath/Bijection.svg">wiki-commons:Special:FilePath/Bijection.svg</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Bijective_composition.svg" href="http://commons.wikimedia.org/wiki/Special:FilePath/Bijective_composition.svg">wiki-commons:Special:FilePath/Bijective_composition.svg</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Injection.svg" href="http://commons.wikimedia.org/wiki/Special:FilePath/Injection.svg">wiki-commons:Special:FilePath/Injection.svg</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Not-Injection-Surjection.svg" href="http://commons.wikimedia.org/wiki/Special:FilePath/Not-Injection-Surjection.svg">wiki-commons:Special:FilePath/Not-Injection-Surjection.svg</a></li> <li><a class="uri" rel="foaf:depiction" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Surjection.svg" href="http://commons.wikimedia.org/wiki/Special:FilePath/Surjection.svg">wiki-commons:Special:FilePath/Surjection.svg</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://xmlns.com/foaf/0.1/isPrimaryTopicOf">foaf:isPrimaryTopicOf</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="foaf:isPrimaryTopicOf" resource="http://en.wikipedia.org/wiki/Bijection" href="http://en.wikipedia.org/wiki/Bijection">wikipedia-en:Bijection</a></li> </ul></td></tr><tr class="odd"><td class="col-2">is <a class="uri" href="http://dbpedia.org/ontology/wikiPageRedirects">dbo:wikiPageRedirects</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijectiob" href="http://dbpedia.org/resource/Bijectiob">dbr:Bijectiob</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/One-to-one_correspondence" href="http://dbpedia.org/resource/One-to-one_correspondence">dbr:One-to-one_correspondence</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijections" href="http://dbpedia.org/resource/Bijections">dbr:Bijections</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijective" href="http://dbpedia.org/resource/Bijective">dbr:Bijective</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijective_relation" href="http://dbpedia.org/resource/Bijective_relation">dbr:Bijective_relation</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijectio" href="http://dbpedia.org/resource/Bijectio">dbr:Bijectio</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijection_(mathematics)" href="http://dbpedia.org/resource/Bijection_(mathematics)">dbr:Bijection_(mathematics)</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijectional" href="http://dbpedia.org/resource/Bijectional">dbr:Bijectional</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijective_Function" href="http://dbpedia.org/resource/Bijective_Function">dbr:Bijective_Function</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijective_function" href="http://dbpedia.org/resource/Bijective_function">dbr:Bijective_function</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijective_map" href="http://dbpedia.org/resource/Bijective_map">dbr:Bijective_map</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijective_mapping" href="http://dbpedia.org/resource/Bijective_mapping">dbr:Bijective_mapping</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/Bijectivity" href="http://dbpedia.org/resource/Bijectivity">dbr:Bijectivity</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/1:1_correspondence" href="http://dbpedia.org/resource/1:1_correspondence">dbr:1:1_correspondence</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/One-one_correspondence" href="http://dbpedia.org/resource/One-one_correspondence">dbr:One-one_correspondence</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" resource="http://dbpedia.org/resource/One-to-one_and_onto" href="http://dbpedia.org/resource/One-to-one_and_onto">dbr:One-to-one_and_onto</a></li> <li><a class="uri" rev="dbo:wikiPageRedirects" 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href="http://dbpedia.org/resource/Picture_(mathematics)">dbr:Picture_(mathematics)</a></li> </ul></td></tr><tr class="even"><td class="col-2">is <a class="uri" href="http://xmlns.com/foaf/0.1/primaryTopic">foaf:primaryTopic</a> of</td><td class="col-10 text-break"><ul> <li><a class="uri" rev="foaf:primaryTopic" resource="http://en.wikipedia.org/wiki/Bijection" href="http://en.wikipedia.org/wiki/Bijection">wikipedia-en:Bijection</a></li> </ul></td></tr> </tbody> </table> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="text-center p-4 bg-light"> <a href="https://virtuoso.openlinksw.com/" title="OpenLink Virtuoso"><img class="powered_by" src="/statics/images/virt_power_no_border.png" alt="Powered by OpenLink Virtuoso"/></a>    <a href="http://linkeddata.org/"><img alt="This material is Open Knowledge" src="/statics/images/LoDLogo.gif"/></a>     <a href="http://dbpedia.org/sparql"><img alt="W3C Semantic Web Technology" 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