Bell number

Summary

Bell number is a mathematical concept^[1]. It ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (201 views/month).^[2]

Key Facts

• Bell number's instance of is recorded as mathematical concept^[3].
• Eric Temple Bell is named after Bell number^[4].
• Bell number's subclass of is recorded as integer sequence^[5].
• Bell number's Freebase ID is recorded as /m/01ck8p^[6].
• Bell number's OEIS ID is recorded as A000110^[7].
• Bell number's topic's main category is recorded as Q20715813^[8].
• Bell number's definition domain is recorded as non-negative integer^[9].
• Bell number's codomain is recorded as positive integer^[10].
• Bell number's defining formula is recorded as \begin{align} B_n & =|\operatorname{part}({1,\dots,n})| \ & =T_n(1) \ & =\sum_{k=0}^n\left{{n\atop k}\right} \ & =\sum_{k=0}^{n-1}\binom nkB_k \end{align}^[11].
• Bell number's MathWorld ID is recorded as BellNumber^[12].
• Bell number's maintained by WikiProject is recorded as WikiProject Mathematics^[13].
• Bell number's Microsoft Academic ID is recorded as 174710074^[14].
• Bell number's in defining formula is recorded as B_n^[15].
• Bell number's in defining formula is recorded as |-|^[16].
• Bell number's in defining formula is recorded as \operatorname{part}^[17].
• Bell number's in defining formula is recorded as T_n^[18].
• Bell number's in defining formula is recorded as \left{{-\atop-}\right}^[19].
• Bell number's in defining formula is recorded as \binom--^[20].
• Bell number's Namuwiki ID is recorded as 벨 수^[21].
• Bell number's Treccani's Enciclopedia della Matematica ID is recorded as numeri-di-bell^[22].

Why It Matters

Bell number ranks in the top 10% of mathematical_concept entities by monthly Wikipedia readership (201 views/month).^[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[23] It is known by 14 alternative names across languages and contexts.^[24]