associativity
1
8.0
- noun
- /əˌsoʊʃiˈeɪtɪvɪti/
- Specialized
- The associativity of multiplication means that it doesn't matter whether we calculate (2 times 3) times 4 or 2 times (3 times 4); the result is the same.
Examples
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(3) the group axioms, which are some equations involving expressing some properties—associativity, the properties of 1 and inverses.
Blog text (9) -
As soon as we assume this associativity axiom, it says, OK, this is a vector in the space.
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This one of course, is called right associativity or right association.
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And then we have to look at associativity, associativity.
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So let's start there and then we can use associativity to write it this way.
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Then we can use this associativity to write this as a inverse parentheses AB.
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The effectiveness of this associativity between CAD and FEA depends on the product behavior to be evaluated and the quality of implementation.
Academic text (1998) -
In mathematics, associativity ensures that the result remains the same regardless of how numbers are grouped during addition.
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To simplify expressions, we often rely on associativity to rearrange terms without changing the outcome.
How Associative
- Specialized
1
8.0
- Specialized
Surface Forms
Morphology
associativity = associative (transparent) = associate + ive + ity
The noun 'associativity' is transparently derived from the adjective 'associative' by adding the suffix '-ity', indicating a state or quality.
Etymology
Associativity in math comes from associate and the old Latin socius 'companion'. Think of numbers as companions: associativity means you can change how you group them and still get the same result, so the way you group things does not change the outcome.