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semiring

Noun

Meaning

One of the incomplete rings of the upper part of the bronchial tubes of most birds. The semerings form an essential part of the syrinx, or musical organ, of singing birds.

Source: Webster's dictionary

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An idempotent semiring (also sometimes called a dioid) is a semiring whose addition (not multiplication) is idempotent. Source: Internet

Let be the field of real numbers, and let be the semiring of natural numbers. 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

One such axiomatization begins with the following axioms that describe a discrete ordered semiring. Source: Internet

The lack of additive inverses, which is equivalent to the fact that ℕ is not closed under subtraction, means that ℕ is not a ring ; instead it is a semiring (also known as a rig). Source: Internet

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