| 单词 |
distributive property |
| 释义 |
distributive property
dis·trib·u·tive property (dĭ-strĭb′yə-tĭv) The property which states that for certain mathematical operations, applying an operation (such as multiplication) to a set of quantities combined by another operation (such as addition) yields the same result as applying the first operation to each quantity individually and then combining those results by the second operation (in this case addition). Thus 2 × (3 + 4) is equivalent to (2 × 3) + (2 × 4), meaning that multiplication is distributive relative to addition. See also associative property, commutative property.Distributive Property
Distributive Property (distributive law), the property of multiplication expressed by the identities c(a + b) = ca + cb and (a + b)c = ac + be. In a more general sense, the distributive property of the operator F(x) with respect to some operation x * y is referred to as a property expressed by the equality F(x *y) = F(x) * F(y). For example, the equality (ab)n = anbn shows that the operator of involution is distributive with respect to the operation of multiplication but not with respect to the operation of addition, since, generally speaking, (a + b)n ≠ an + bn. |
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