Liouville's theorem

Summary

Liouville's theorem is a theorem^[1]. It ranks in the top 8% of theorem entities by monthly Wikipedia readership (231 views/month).^[2]

Key Facts

• Liouville's theorem's instance of is recorded as theorem^[3].
• Joseph Liouville is named after Liouville's theorem^[4].
• Liouville's theorem's part of is recorded as list of theorems^[5].
• Liouville's theorem's Freebase ID is recorded as /m/01tbnl^[6].
• Liouville's theorem's Freebase ID is recorded as /m/0g9tg2y^[7].
• Liouville's theorem's different from is recorded as Liouville's theorem^[8].
• Liouville's theorem's defining formula is recorded as \forall f\in\mathcal C^\omega(\mathbb C,\mathbb C)\colon\left(\sup_{\mathbb C}|f|<\infty\implies f'=0\right)<sup id="cite-C12" class="cite-ref" title="Liouville's theorem — defining formula (P2534): \forall f\in\mathcal C^\omega(\mathbb C,\mathbb C)\colon\left(\sup_{\mathbb C}|f|<\infty\implies f'=0\right)">[9].
• Liouville's theorem's MathWorld ID is recorded as LiouvillesBoundednessTheorem^[10].
• Liouville's theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• Liouville's theorem's Microsoft Academic ID is recorded as 24595390^[12].
• Liouville's theorem's in defining formula is recorded as f^[13].
• Liouville's theorem's in defining formula is recorded as \sup^[14].
• Liouville's theorem's in defining formula is recorded as \mathbb C^[15].
• Liouville's theorem's Encyclopedia of Mathematics article ID is recorded as Liouville_theorems^[16].
• Liouville's theorem's Lex ID is recorded as Liouvilles_sætning^[17].
• Liouville's theorem's Namuwiki ID is recorded as 리우빌의 정리^[18].

Why It Matters

Liouville's theorem ranks in the top 8% of theorem entities by monthly Wikipedia readership (231 views/month).^[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.^[19] It is known by 5 alternative names across languages and contexts.^[20]