Sentence examples for commutative from inspiring English sources
The word 'commutative' is correct and usable in written English
You can use it to describe a situation or property that is characterized by the idea that two or more elements can be rearranged in order to get the same outcome. For example, "The commutative property of addition states that the order in which numbers are added does not affect the sum."
adjective
Such that the order in which the operands are taken does not affect their image under the operation.
- Addition on the real numbers is commutative because for any real numbers s,t, it is true that s+t=t+s.
That is, it holds that \ e\) entails \(h\) \((e\vDash h)\) if and only if \(\neg h\) entails \(\neg e\) \((\neg h\vDash \neg e),\) while it does not hold that \ e\) entails \(h\) if and only if \(h\) entails \ e\) \((h\vDash e).\) Commutativity of refutation Refutation, on the contrary, is commutative, but not contrapositive.
Quantities such as displacement and velocity have this property (commutative law), but there are quantities (e.g., finite rotations in space) that do not and therefore are not vectors.
Also, since rotation from b to a is opposite to that from a to b, This shows that the cross product is not commutative, but the associative law (sa) × b = s(a × b) and the distributive law are valid for cross products.
Commutative law, in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + b = b + a and ab = ba.
The commutative law does not necessarily hold for multiplication of conditionally convergent series.
To do algebraic topology was to transfer a problem posed in one category (that of topological spaces) to another (usually that of commutative groups or rings).
The associative, commutative, and distributive laws of elementary algebra are valid for the dot multiplication of vectors.
Using category theory and ideas from topology, he reformulated algebraic geometry so that it applies to commutative rings (such as the integers) and not merely fields (such as the rational numbers) as hitherto.
Fuzzy logics with non-commutative conjunction.
As an ultimate answer to this question one would like to have something similar to Bell's (1964) famous theorem, i.e., a succinct crispy statement of the fundamental difference between quantum and classical systems, encapsulated in the non-commutative character of observables.
In the next section we will see another example motivating non-commutative premise combination and these two different conditionals.
