Word info Synonyms

additive inverse

Noun

Meaning

(mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5

Source: WordNet

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Hypernyms

Examples

A ring object in C is an object R equipped with morphisms (addition), (multiplication), (additive identity), (additive inverse), and (multiplicative identity) satisfying the usual ring axioms. Source: Internet

Explicitly, ignoring significand, taking the reciprocal is just taking the additive inverse of the (unbiased) exponent, since the exponent of the reciprocal is the negative of the original exponent. Source: Internet

In a field of characteristic 2, an element has either one square root, because each element is its own additive inverse, or does not have any at all (if the field is finite of characteristic 2 then every element has a unique square root). Source: Internet

Notice that replacing i by −i, j by −j, and k by −k sends a vector to its additive inverse, so the additive inverse of a vector is the same as its conjugate as a quaternion. Source: Internet

The natural numbers (including 0) form an algebraic structure known as a semiring (which has all of the properties of a ring except the additive inverse property). Source: Internet

This is known as the zero property of multiplication: :: ; Negation :Negative one times any number is equal to the additive inverse of that number. Source: Internet

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