Euclidean division

Summary

Euclidean division is a theorem^[1]. It draws 179 Wikipedia views per month (theorem category, ranking #132 of 1,306).^[2]

Key Facts

• Euclidean division's video is recorded as DivisionEuclidienne.ogv^[3].
• Euclidean division's instance of is recorded as theorem^[4].
• Euclidean division's instance of is recorded as mathematical operation^[5].
• Euclid is named after Euclidean division^[6].
• Euclidean division's subclass of is recorded as division^[7].
• Euclidean division's Commons category is recorded as Euclidean division^[8].
• Euclidean division's Freebase ID is recorded as /m/032bj_^[9].
• Euclidean division's described by source is recorded as PlanetMath^[10].
• Euclidean division's defining formula is recorded as a,b \in \mathbb{Z} \land b \neq 0 \implies \exists! q,r \mid a=bq+r \land 0 \leq r < |b|<sup id="cite-C13" class="cite-ref" title="Euclidean division — defining formula (P2534): a,b \in \mathbb{Z} \land b \neq 0 \implies \exists! q,r \mid a=bq+r \land 0 \leq r < |b|">[11].
• Euclidean division's studied by is recorded as modular arithmetic^[12].
• Euclidean division's studied by is recorded as algebra^[13].
• Euclidean division's Larousse ID is recorded as divers/division_euclidienne/187228^[14].
• Euclidean division's maintained by WikiProject is recorded as WikiProject Mathematics^[15].
• Euclidean division's Microsoft Academic ID is recorded as 103481479^[16].
• Euclidean division's in defining formula is recorded as a^[17].
• Euclidean division's in defining formula is recorded as b^[18].
• Euclidean division's Treccani's Enciclopedia della Matematica ID is recorded as divisione-euclidea^[19].

Body

Works and Contributions

Things named for Euclidean division include Euclidean domain^[20].

Why It Matters

Euclidean division draws 179 Wikipedia views per month (theorem category, ranking #132 of 1,306).^[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.^[21] It is known by 12 alternative names across languages and contexts.^[22]

Entities named for it include Euclidean domain^[20].