pigeonhole principle
mathematical lemma that, if 𝑛 items are put into 𝑚 containers, with 𝑛>𝑚, then at least one container must contain more than one item
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pigeonhole principle
Summary
pigeonhole principle is a theorem[1]. It ranks in the top 4% of theorem entities by monthly Wikipedia readership (600 views/month).[2]
Key Facts
- pigeonhole principle is credited with the discovery of Johann Peter Gustav Lejeune Dirichlet[3].
- pigeonhole principle is credited with the discovery of Jean Leurechon[4].
- pigeonhole principle's instance of is recorded as theorem[5].
- Johann Peter Gustav Lejeune Dirichlet is named after pigeonhole principle[6].
- +1834-00-00T00:00:00Z marks the founding of pigeonhole principle[7].
- pigeonhole principle's Freebase ID is recorded as /m/0f59r[8].
- pigeonhole principle's spoken text audio is recorded as En-Pigeonhole principle-article.ogg[9].
- pigeonhole principle's Encyclopædia Britannica Online ID is recorded as topic/pigeonhole-principle[10].
- pigeonhole principle's MathWorld ID is recorded as DirichletsBoxPrinciple[11].
- pigeonhole principle's maintained by WikiProject is recorded as WikiProject Mathematics[12].
- pigeonhole principle's Microsoft Academic ID is recorded as 171988527[13].
- pigeonhole principle's Brilliant Wiki ID is recorded as pigeonhole-principle-definition[14].
- pigeonhole principle's ProofWiki ID is recorded as Dirichlet's_Box_Principle[15].
- pigeonhole principle's Australian Educational Vocabulary ID is recorded as scot/15520[16].
- pigeonhole principle's Lex ID is recorded as skuffeprincippet[17].
- pigeonhole principle's Namuwiki ID is recorded as 비둘기 집의 원리[18].
- pigeonhole principle's Encyclopedia of China is recorded as 203815[19].
- pigeonhole principle's OpenAlex ID is recorded as C171988527[20].
- pigeonhole principle's Encyclopedia of China is recorded as 109688[21].
Body
Works and Contributions
Credited discoveries include Johann Peter Gustav Lejeune Dirichlet[3], a mathematician[22], 1805–1859[23], awarded the Pour le Mérite for Sciences and Arts order[24], specialised in number theory[25] and Jean Leurechon[4], a mathematician[26], 1591–1670[27], of France[28].
Why It Matters
pigeonhole principle ranks in the top 4% of theorem entities by monthly Wikipedia readership (600 views/month).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[29] It is known by 68 alternative names across languages and contexts.[30]