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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, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.For example, in elementary arithmetic, one hasOne says that multiplication distributes over addition. </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Illustration_of_distributive_property_with_rectangles.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;">في الرياضيات، وبشكل خاص في الجبر التجريدي، التوزيعية (بالإنجليزية: Distributivity)‏ هي إحدى الخاصيات التي يمكن للعملية الثنائية امتلاكها وهي تعميم لخاصية توزيع الضرب على الجمع في الجبر الابتدائي: 4 · (2 + 3) = (4 · 2) + (4 · 3) لتكن المجموعة S ولنعرف عليها عمليتين ثنائيتين * و +. عندئذ: * عملية توزيعية من اليسار left-distributive على العملية + إذا أياً كانت العناصر x و y وz من المجموعة S:x * (y + z) = (x * y) + (x * z)؛ * * عملية توزيعية من اليمين right-distributive على العملية + إذا, أياً كانت العناصر x, y, وz من المجموعة S:(y + z) * x = (y * x) + (z * x)؛ * * عملية توزيعية distributive على العملية + إذا كانت توزيعية من اليمين وتوزيعية من اليسار على العملية +. (ar)</li> <li style="display:none;">Distributivita je v matematice, zejména v algebře, vlastnost binární operace vůči jiné binární operaci, říkající, že můžeme tuto operaci distribuovat přes jinou operaci. Je zobecněním běžné distributivity násobení vůči sčítání čísel, kdy můžeme roznásobit sčítání. (cs)</li> <li style="display:none;">En matemàtiques, es diu que un operador té la propietat distributiva sobre un operador , o que és distributiu respecte de en un conjunt E si per a tots x, y, z de E, es tenen les propietats següents : (distributiva a la dreta) (distributiva a l'esquerra) (ca)</li> <li style="display:none;">Επιμεριστική ιδιότητα ονομάζεται μια ιδιότητα μερικών μαθηματικών πράξεων. Αυτή η ιδιότητα αφορά δύο πράξεις (πρόσθεση ή πολλαπλασιασμό). Από τα παραπάνω προκύπτει ότι η επιμεριστική ιδιότητα χαρακτηρίζει συνήθως τους διανυσματικούς χώρους. Η επιμεριστική ιδιότητα συνοψίζονται συμβολικά στην εξής ταυτότητα: Συνήθως τα β,γ είναι δύο ίδιου είδους στοιχεία, όπως αριθμοί, διανύσματα, φυσικά μεγέθη, χημικά στοιχεία, ένα είδος πρόσθεσης αυτών των στοιχείων, ένα είδος πολλαπλασιασμού και α ένας φυσικός, ακέραιος, ρητός, πραγματικός ή μιγαδικός αριθμός ή ένα στοιχείο του ίδιου είδους ή διαφορετικού είδους με τα β,γ. Στην άλγεβρα Μπουλ ισχύει και η αντίστροφη επιμεριστική ιδιότητα: (el)</li> <li style="display:none;">En matematiko, distribueco estas eco de duvalentaj operacioj, kiuj ĝeneraligas la distribuan leĝon de baza algebro. Ekzemple 4 · (2 + 3) = (4 · 2) + (4 · 3) (eo)</li> <li style="display:none;">Die Distributivgesetze/Verteilungsgesetze (lat. distribuere „verteilen“) sind mathematische Regeln, die angeben, wie sich zwei zweistellige Verknüpfungen bei der Auflösung von Klammern zueinander verhalten, nämlich dass die eine Verknüpfung in einer bestimmten Weise mit der anderen Verknüpfung verträglich ist. Insbesondere in der Schulmathematik bezeichnet man die Verwendung des Distributivgesetzes zur Umwandlung einer Summe in ein Produkt als Ausklammern oder Herausheben. Das Auflösen von Klammern durch Anwenden des Distributivgesetzes wird als Ausmultiplizieren bezeichnet. Das Distributivgesetz bildet mit dem Assoziativgesetz und dem Kommutativgesetz grundlegende Regeln der Algebra. (de)</li> <li>In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.For example, in elementary arithmetic, one hasOne says that multiplication distributes over addition. This basic property of numbers is part of the definition of most algebraic structures that have two operations called addition and multiplication, such as complex numbers, polynomials, matrices, rings, and fields. It is also encountered in Boolean algebra and mathematical logic, where each of the logical and (denoted ) and the logical or (denoted ) distributes over the other. (en)</li> <li style="display:none;">En matemáticas, la distributividad es la propiedad de las operaciones binarias que generaliza la propiedad distributiva del álgebra elemental. La propiedad distributiva de la multiplicación sobre la suma en álgebra elemental es aquella en la que el resultado de un número multiplicado por la suma de dos o más sumandos, es igual a la suma de los productos de cada sumando por ese número. En términos algebraicos: Ejemplo: En ambos casos los resultados son iguales. Esta propiedad, particularizada para la suma y el producto, se puede generalizar a cualquier otro par de operaciones aritméticas, obteniendo de esta forma la definición de distributividad. (es)</li> <li style="display:none;">Matematikan, banakortasuna edo propietate banakorra A multzo baten gainean definitutuako bi eragiketa bitarri buruzko propietate matematiko bat da. Zehatzago, bi eragiketak eta izanik: * eragiketa ezkerretik banakorra da eragiketari buruz, A multzoko a, b eta c edozein hiru elementutarako, ondokoa betetzen bada: * eragiketa eskubitik banakorra da eragiketari buruz, A multzoko a, b eta c edozein hiru elementutarako, ondokoa betetzen bada: * banakorra da eragiketari buruz, ezkerretik zein eskubitik banakorra bada. (eu)</li> <li style="display:none;">En mathématiques, plus précisément en arithmétique et en algèbre générale, la distributivité d'une opération par rapport à une autre est une généralisation de la propriété élémentaire : « le produit d'une somme est égal à la somme des produits ». Par exemple, dans l'expression 2 × (5 + 3) = (2×5) + (2×3), le facteur 2 est distribué à chacun des deux termes de la somme 5 + 3. L'égalité est alors bien vérifiée : à gauche 2 × 8 = 16, à droite 10 + 6 = 16. Cette propriété est vraie pour tout triplet (x, y, z) d'entiers naturels, d'entiers relatifs, de nombres rationnels, de nombres réels ou de nombres complexes : x × (y + z) = (x × y) + (x × z) On parle alors de distributivité de la multiplication par rapport à l'addition. En algèbre générale, la distributivité est généralisée à d'autres opérations que l'addition et la multiplication. Une loi de composition interne ∘ est distributive par rapport à une autre loi interne ∗ dans un ensemble E si pour tout triplet (x, y, z) d'éléments de E, on a les propriétés suivantes : x ∘ (y ∗ z) = (x ∘ y) ∗ (x ∘ z) (distributivité à gauche)(x ∗ y) ∘ z = (x ∘ z) ∗ (y ∘ z) (distributivité à droite) (fr)</li> <li style="display:none;">Sa mhatamaitic, oibríocht ar féidir a tréithe a léiriú le comparáid idir iolrú is suimiú. Deirtear go bhfuil iolrú dáileach ar shuimiú do thacar na réaduimhreacha, mar is féidir a rá gur a × (b + c) = (a × b) + (a × c). Ach níl suimiú dáileach ar iolrú do thacar na réaduimhreacha, mar a + (b × c) ≠ (a + b) × (a + c). Go ginearálta, is dáileach an oibríocht * ar oibríocht eile # do gach eilimint sa tacar S, más a * (b # c) = a * b # a * c do gach a, b is c in S. (ga)</li> <li style="display:none;">Dalam matematika, sifat distributif (bahasa Inggris: distributive property) adalah sifat yang mendistribusikan perkalian terhadap operasi penambahan. Sifat ini merupakan sifat dari operasi biner merupakan perumuman dari hukum distributif. Dalam aljabar dasar, hukum tersebut mengatakan bahwa persamaan selalu benar. Sebagai contoh, dalam aritmetika dasar, persamaan adalah benar. Sifat distributif dari bilangan merupakan bagian dari definisi dari hampir semua struktur aljabar yang mempunyai dua operasi dasar, yaitu penambahan dan perkalian. Struktur tersebut di antaranya bilangan kompleks, polinomial, matriks, gelanggang, dan lapangan. Sifat ini juga dipakai dalam aljabar Boole dan logika matematika, yang mengatakan bahwa masing-masing dari logika konjungsi (yang dinyatakan sebagai ) dan logika disjungsi (yang dinyatakan sebagai ) mendistribusi terhadap operasi lain. (in)</li> <li style="display:none;">分配法則（ぶんぱいほうそく、英: Distributive property）は、数学の法則の一つ。集合 S に対して、積 × と和 + が定義されている時に、 1. * 2. * が任意の元 a,b,c について成り立てば、この積は和に対して分配法則を満たすという。同じことを、積は和に対して分配的であるともいう。特に 1 を左分配法則、2 を右分配法則という。× が交換法則を満たすときには、1, 2 の区別はない。分配法則は次のようなもので成り立つ。 * 実数の積は和に対して分配法則を満たす。 * 行列の積は和に対して分配法則を満たす。 * 集合の和は共通部分に対して分配的であり、共通部分は和に対して分配的である。また、共通部分は対称差に対して分配的である。 * 論理記号の論理和 (or) は論理積 (and) に対して分配的であり、論理積は論理和に対して分配的である。また、論理積は排他的論理和 (xor) に対して分配的である。 2つの二項演算の定義された集合を考えるとき、一方の他方に対する分配法則を仮定することが多い。例として、環を参照。 (ja)</li> <li style="display:none;">분배법칙(分配法則, Distributive property)이란 상세히 말하자면 추상대수학에서, 이항연산에 대한 성질로 다음과 같은 초등대수의 덧셈에 대한 곱셈의 분배법칙 4 · (2 + 3) = (4 · 2) + (4 · 3) 을 일반화시킨 것이다. (ko)</li> <li style="display:none;">In de wiskunde en in het bijzonder in de abstracte algebra is distributiviteit een eigenschap van binaire operaties, die de distributieve wet uit de elementaire algebra generaliseert. Bij het gewone rekenen is vermenigvuldigen distributief over optellen, bijvoorbeeld: 2 × (1 + 3) = 2×1 + 2×3. Het linkerlid van deze gelijkheid bestaat uit het product van het getal 2 en de som van de getallen 1 en 3, terwijl het rechterlid de som is van de afzonderlijke producten van het getal 2 met enerzijds het getal 1 en anderzijds het getal 3. In plaats van eerst de optelling te doen en daarna de vermenigvuldiging met het resultaat, kan ook eerst de vermenivuldiging met de beide summanden afzonderlijk uitvoeren en vervolgens de resultaten optellen. De vermenigvuldiging "verdeelt" zich als het ware over de optelling. (nl)</li> <li style="display:none;">In matematica, e in particolare nell'algebra, la distributività (o proprietà distributiva) è una proprietà delle operazioni binarie che generalizza la ben nota legge distributiva valida per somma e prodotto tra numeri dell'algebra elementare. Dato un (insieme) S e due operazioni binarie * e + su S, diciamo che: * l'operazione * è distributiva a sinistra rispetto all'operazione + se, dati gli elementi x, y, e z di S, * l'operazione * è distributiva a destra rispetto all'operazione + se, dati gli elementi x, y, e z di S: * l'operazione * è distributiva rispetto all'operazione + se è distributiva a sinistra e a destra. Si osservi che quando * è commutativa, allora le tre condizioni precedenti sono logicamente equivalenti. (it)</li> <li style="display:none;">Distributividade é uma propriedade de duas operações binárias, em que a ordem em que as operações são efetuadas pode, de certa forma, ser trocada. (pt)</li> <li style="display:none;">I abstrakt algebra inom matematiken sägs en operator, , vara distributiv med avseende på en annan operator, +, om det för alla x, y och z i en mängd S gäller att och Till exempel är multiplikation distributiv med avseende på addition i mängden av reella tal. Mer precist kallas operationen vänsterdistributiv (med avseende på +), om den första likheten alltid gäller, och högerdistributiv, om den andra likheten alltid gäller. Operationen är således distributiv om och endast om den är både vänsterdistributiv och högerdistributiv. Till exempel är exponentiering högerdistributiv men inte vänsterdistributiv med avseende på multiplikation i mängden av positiva heltal: men (sv)</li> <li style="display:none;">Rozdzielność działania (a. dystrybutywność działania) – specyficzna własność działania dwuargumentowego względem innego działania dwuargumentowego. (pl)</li> <li style="display:none;">Дистрибутивність (розподільний закон) — властивість узгодженості двох бінарних операцій, визначених на одній множині. На множині S бінарна операція є дистрибутивною відносно бінарної операції , якщо для будь-яких елементів x, y, z із S виконується: — дистрибутивність зліва — дистрибутивність справа Якщо операція є комутативною, то властивості дистрибутивності справа та зліва збігаються, і така операція є дистрибутивною. Дистрибутивність присутня в багатьох алгебричних структурах де визначене додавання і множення:комплексні числа, многочлени, матриці, кільця, поля. В булевій алгебрі та математичній логіці операції кон'юнкції та диз'юнкції є дистибутивними одна відносно іншої. (uk)</li> <li style="display:none;">Дистрибути́вность (от лат. distributivus «распределительный»), также распределительный закон — свойство согласованности двух бинарных операций, определённых на одном и том же множестве. Говорят, что бинарная операция «×» является дистрибутивной относительно бинарной операции «+», если они удовлетворяют следующим двум тождествам: — дистрибутивность слева; — дистрибутивность справа. Если операция «×» является коммутативной, то свойства дистрибутивности слева и справа равносильны. Относительно соответствующих аддитивных операций, мультипликативные операции в кольцах и полях, по определению, удовлетворяют свойству дистрибутивности. Если операции сложения и пересечения для односторонних идеалов некоторого кольца (или подмодулей некоторого модуля) удовлетворяют свойству дистрибутивности[уточнить], то говорят о (или ). (ru)</li> <li style="display:none;">分配律（distributive property）是二元运算的一个性质，它起源于基本代数运算，同时部分抽象代数运算亦符合该定律 (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/Illustration_of_distributive_property_with_rectangles.svg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Illustration_of_distributive_property_with_rectangles.svg?width=300">wiki-commons:Special:FilePath/Illustration_of_distr...roperty_with_rectangles.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" rel="dbo:wikiPageExternalLink nofollow" 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class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/name">dbp:name</a> </td><td class="col-10 text-break"><ul> <li>Distributive property (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/symbolicStatement">dbp:symbolicStatement</a> </td><td class="col-10 text-break"><ul> <li> (en)</li> <li># Elementary algebra #: # Propositional calculus: ## ## (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/type">dbp:type</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbp:type" resource="http://dbpedia.org/resource/Principle" href="http://dbpedia.org/resource/Principle">dbr:Principle</a></li> <li><a class="uri" rel="dbp:type" resource="http://dbpedia.org/resource/Rule_of_replacement" href="http://dbpedia.org/resource/Rule_of_replacement">dbr:Rule_of_replacement</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" 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text-break"><ul> <li style="display:none;">Distributivita je v matematice, zejména v algebře, vlastnost binární operace vůči jiné binární operaci, říkající, že můžeme tuto operaci distribuovat přes jinou operaci. Je zobecněním běžné distributivity násobení vůči sčítání čísel, kdy můžeme roznásobit sčítání. (cs)</li> <li style="display:none;">En matemàtiques, es diu que un operador té la propietat distributiva sobre un operador , o que és distributiu respecte de en un conjunt E si per a tots x, y, z de E, es tenen les propietats següents : (distributiva a la dreta) (distributiva a l'esquerra) (ca)</li> <li style="display:none;">En matematiko, distribueco estas eco de duvalentaj operacioj, kiuj ĝeneraligas la distribuan leĝon de baza algebro. Ekzemple 4 · (2 + 3) = (4 · 2) + (4 · 3) (eo)</li> <li style="display:none;">Matematikan, banakortasuna edo propietate banakorra A multzo baten gainean definitutuako bi eragiketa bitarri buruzko propietate matematiko bat da. Zehatzago, bi eragiketak eta izanik: * eragiketa ezkerretik banakorra da eragiketari buruz, A multzoko a, b eta c edozein hiru elementutarako, ondokoa betetzen bada: * eragiketa eskubitik banakorra da eragiketari buruz, A multzoko a, b eta c edozein hiru elementutarako, ondokoa betetzen bada: * banakorra da eragiketari buruz, ezkerretik zein eskubitik banakorra bada. (eu)</li> <li style="display:none;">Sa mhatamaitic, oibríocht ar féidir a tréithe a léiriú le comparáid idir iolrú is suimiú. Deirtear go bhfuil iolrú dáileach ar shuimiú do thacar na réaduimhreacha, mar is féidir a rá gur a × (b + c) = (a × b) + (a × c). Ach níl suimiú dáileach ar iolrú do thacar na réaduimhreacha, mar a + (b × c) ≠ (a + b) × (a + c). Go ginearálta, is dáileach an oibríocht * ar oibríocht eile # do gach eilimint sa tacar S, más a * (b # c) = a * b # a * c do gach a, b is c in S. (ga)</li> <li style="display:none;">分配法則（ぶんぱいほうそく、英: Distributive property）は、数学の法則の一つ。集合 S に対して、積 × と和 + が定義されている時に、 1. * 2. * が任意の元 a,b,c について成り立てば、この積は和に対して分配法則を満たすという。同じことを、積は和に対して分配的であるともいう。特に 1 を左分配法則、2 を右分配法則という。× が交換法則を満たすときには、1, 2 の区別はない。分配法則は次のようなもので成り立つ。 * 実数の積は和に対して分配法則を満たす。 * 行列の積は和に対して分配法則を満たす。 * 集合の和は共通部分に対して分配的であり、共通部分は和に対して分配的である。また、共通部分は対称差に対して分配的である。 * 論理記号の論理和 (or) は論理積 (and) に対して分配的であり、論理積は論理和に対して分配的である。また、論理積は排他的論理和 (xor) に対して分配的である。 2つの二項演算の定義された集合を考えるとき、一方の他方に対する分配法則を仮定することが多い。例として、環を参照。 (ja)</li> <li style="display:none;">분배법칙(分配法則, Distributive property)이란 상세히 말하자면 추상대수학에서, 이항연산에 대한 성질로 다음과 같은 초등대수의 덧셈에 대한 곱셈의 분배법칙 4 · (2 + 3) = (4 · 2) + (4 · 3) 을 일반화시킨 것이다. (ko)</li> <li style="display:none;">Distributividade é uma propriedade de duas operações binárias, em que a ordem em que as operações são efetuadas pode, de certa forma, ser trocada. (pt)</li> <li style="display:none;">Rozdzielność działania (a. dystrybutywność działania) – specyficzna własność działania dwuargumentowego względem innego działania dwuargumentowego. (pl)</li> <li style="display:none;">分配律（distributive property）是二元运算的一个性质，它起源于基本代数运算，同时部分抽象代数运算亦符合该定律 (zh)</li> <li style="display:none;">في الرياضيات، وبشكل خاص في الجبر التجريدي، التوزيعية (بالإنجليزية: Distributivity)‏ هي إحدى الخاصيات التي يمكن للعملية الثنائية امتلاكها وهي تعميم لخاصية توزيع الضرب على الجمع في الجبر الابتدائي: 4 · (2 + 3) = (4 · 2) + (4 · 3) لتكن المجموعة S ولنعرف عليها عمليتين ثنائيتين * و +. عندئذ: (ar)</li> <li style="display:none;">Επιμεριστική ιδιότητα ονομάζεται μια ιδιότητα μερικών μαθηματικών πράξεων. Αυτή η ιδιότητα αφορά δύο πράξεις (πρόσθεση ή πολλαπλασιασμό). Από τα παραπάνω προκύπτει ότι η επιμεριστική ιδιότητα χαρακτηρίζει συνήθως τους διανυσματικούς χώρους. Η επιμεριστική ιδιότητα συνοψίζονται συμβολικά στην εξής ταυτότητα: Στην άλγεβρα Μπουλ ισχύει και η αντίστροφη επιμεριστική ιδιότητα: (el)</li> <li>In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.For example, in elementary arithmetic, one hasOne says that multiplication distributes over addition. (en)</li> <li style="display:none;">Die Distributivgesetze/Verteilungsgesetze (lat. distribuere „verteilen“) sind mathematische Regeln, die angeben, wie sich zwei zweistellige Verknüpfungen bei der Auflösung von Klammern zueinander verhalten, nämlich dass die eine Verknüpfung in einer bestimmten Weise mit der anderen Verknüpfung verträglich ist. Insbesondere in der Schulmathematik bezeichnet man die Verwendung des Distributivgesetzes zur Umwandlung einer Summe in ein Produkt als Ausklammern oder Herausheben. Das Auflösen von Klammern durch Anwenden des Distributivgesetzes wird als Ausmultiplizieren bezeichnet. (de)</li> <li style="display:none;">En mathématiques, plus précisément en arithmétique et en algèbre générale, la distributivité d'une opération par rapport à une autre est une généralisation de la propriété élémentaire : « le produit d'une somme est égal à la somme des produits ». Par exemple, dans l'expression 2 × (5 + 3) = (2×5) + (2×3), le facteur 2 est distribué à chacun des deux termes de la somme 5 + 3. L'égalité est alors bien vérifiée : à gauche 2 × 8 = 16, à droite 10 + 6 = 16. x × (y + z) = (x × y) + (x × z) On parle alors de distributivité de la multiplication par rapport à l'addition. (fr)</li> <li style="display:none;">En matemáticas, la distributividad es la propiedad de las operaciones binarias que generaliza la propiedad distributiva del álgebra elemental. La propiedad distributiva de la multiplicación sobre la suma en álgebra elemental es aquella en la que el resultado de un número multiplicado por la suma de dos o más sumandos, es igual a la suma de los productos de cada sumando por ese número. En términos algebraicos: (es)</li> <li style="display:none;">Dalam matematika, sifat distributif (bahasa Inggris: distributive property) adalah sifat yang mendistribusikan perkalian terhadap operasi penambahan. Sifat ini merupakan sifat dari operasi biner merupakan perumuman dari hukum distributif. Dalam aljabar dasar, hukum tersebut mengatakan bahwa persamaan selalu benar. Sebagai contoh, dalam aritmetika dasar, persamaan adalah benar. (in)</li> <li style="display:none;">In matematica, e in particolare nell'algebra, la distributività (o proprietà distributiva) è una proprietà delle operazioni binarie che generalizza la ben nota legge distributiva valida per somma e prodotto tra numeri dell'algebra elementare. Dato un (insieme) S e due operazioni binarie * e + su S, diciamo che: Si osservi che quando * è commutativa, allora le tre condizioni precedenti sono logicamente equivalenti. (it)</li> <li style="display:none;">In de wiskunde en in het bijzonder in de abstracte algebra is distributiviteit een eigenschap van binaire operaties, die de distributieve wet uit de elementaire algebra generaliseert. Bij het gewone rekenen is vermenigvuldigen distributief over optellen, bijvoorbeeld: 2 × (1 + 3) = 2×1 + 2×3. (nl)</li> <li style="display:none;">I abstrakt algebra inom matematiken sägs en operator, , vara distributiv med avseende på en annan operator, +, om det för alla x, y och z i en mängd S gäller att och Till exempel är multiplikation distributiv med avseende på addition i mängden av reella tal. Mer precist kallas operationen vänsterdistributiv (med avseende på +), om den första likheten alltid gäller, och högerdistributiv, om den andra likheten alltid gäller. Operationen är således distributiv om och endast om den är både vänsterdistributiv och högerdistributiv. men (sv)</li> <li style="display:none;">Дистрибути́вность (от лат. distributivus «распределительный»), также распределительный закон — свойство согласованности двух бинарных операций, определённых на одном и том же множестве. Говорят, что бинарная операция «×» является дистрибутивной относительно бинарной операции «+», если они удовлетворяют следующим двум тождествам: — дистрибутивность слева; — дистрибутивность справа. Если операция «×» является коммутативной, то свойства дистрибутивности слева и справа равносильны. (ru)</li> <li style="display:none;">Дистрибутивність (розподільний закон) — властивість узгодженості двох бінарних операцій, визначених на одній множині. На множині S бінарна операція є дистрибутивною відносно бінарної операції , якщо для будь-яких елементів x, y, z із S виконується: — дистрибутивність зліва — дистрибутивність справа Якщо операція є комутативною, то властивості дистрибутивності справа та зліва збігаються, і така операція є дистрибутивною. Дистрибутивність присутня в багатьох алгебричних структурах де визначене додавання і множення:комплексні числа, многочлени, матриці, кільця, поля. (uk)</li> </ul></td></tr><tr class="odd"><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 style="display:none;">توزيعية (ar)</li> <li>Distributive property (en)</li> <li style="display:none;">Propietat distributiva (ca)</li> <li style="display:none;">Distributivita (cs)</li> <li style="display:none;">Distributivgesetz (de)</li> <li style="display:none;">Επιμεριστική ιδιότητα (el)</li> <li style="display:none;">Distribueco (eo)</li> <li style="display:none;">Distributividad (es)</li> <li style="display:none;">Banakortasun (eu)</li> <li style="display:none;">Oibríocht dháileach (ga)</li> <li style="display:none;">Sifat distributif (in)</li> <li style="display:none;">Distributività (it)</li> <li style="display:none;">Distributivité (fr)</li> <li style="display:none;">분배법칙 (ko)</li> <li style="display:none;">分配法則 (ja)</li> <li style="display:none;">Distributiviteit (nl)</li> <li style="display:none;">Rozdzielność działania (pl)</li> <li style="display:none;">Distributividade (pt)</li> <li style="display:none;">Distributivitet (sv)</li> <li style="display:none;">Дистрибутивность (ru)</li> <li style="display:none;">Дистрибутивність (uk)</li> <li style="display:none;">分配律 (zh)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#differentFrom">owl:differentFrom</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="owl:differentFrom" resource="http://dbpedia.org/resource/Distributivism" href="http://dbpedia.org/resource/Distributivism">dbr:Distributivism</a></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.0q08c" href="http://rdf.freebase.com/ns/m.0q08c">freebase:Distributive property</a></li> <li><a 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