Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name of the property that says "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more advanced settings. The name is needed because there are operations, such as division and subtraction, that do not have it (for example, "3 − 5 ≠ 5 − 3"); such operations are not commutative, and so are referred to as noncommutative operations. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed. Thus, this property was not named until the 19th century, when mathematics
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Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name of the property that says "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more advanced settings. The name is needed because there are operations, such as division and subtraction, that do not have it (for example, "3 − 5 ≠ 5 − 3"); such operations are not commutative, and so are referred to as noncommutative operations. The idea that simple operations, such as the multiplication and addition of numbers, are commutative was for many years implicitly assumed. Thus, this property was not named until the 19th century, when mathematics
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Comutatividade é uma proprieda ...... s, como a subtração e divisão.
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Dalam matematika, suatu operas ...... sama terlepas dari urutannya.
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Das Kommutativgesetz (lat. com ...... undlegende Regeln der Algebra.
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De term "commutatief" wordt in ...... ementen met elkaar commuteert.
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En matemàtiques, la propietat ...... ons l'ordre en què s'executin.
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En matemáticas, la propiedad c ...... n el orden en que se ejecuten.
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En mathématiques, et plus préc ...... ue, pour tous x et y dans S, .
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In matematica, un'operazione b ...... elementi di commutano sempre.
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In mathematics, a binary opera ...... ual regardless of their order.
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Inom matematiken, speciellt in ...... och kvaternionmultiplikation.
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p/c023420
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none
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title
Commutative
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Commutativity
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Commute
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Examples of non-commutative operations
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urlname
Commutative
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Commute
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ExampleOfCommutative
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Comutatividade é uma proprieda ...... s, como a subtração e divisão.
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Dalam matematika, suatu operas ...... Dengan demikian, properti ini
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Das Kommutativgesetz (lat. com ...... undlegende Regeln der Algebra.
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De term "commutatief" wordt in ...... ementen met elkaar commuteert.
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En matemàtiques, la propietat ...... emple, 2+3 = 3+2, i 4×5 = 5×4.
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En matemáticas, la propiedad c ...... actores no altera el producto.
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En mathématiques, et plus préc ...... ue, pour tous x et y dans S, .
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In matematica, un'operazione b ...... elementi di commutano sempre.
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In mathematics, a binary opera ...... 9th century, when mathematics
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Inom matematiken, speciellt in ...... entiering: 25 = 32 men 52 = 25
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label
Commutative property
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Commutativiteit
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Commutatività
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Comutatividade
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Conmutatividad
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Kommutativgesetz
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Kommutativitet
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Komutativita
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Komuteco
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Loi commutative
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