اعداد بل

اعداد بل عبارتست از تعداد کل حالت های افراز یک مجموعه. به زبان دیگر مجموع اعداد استرلینگ را اعداد بل گویند. و برای یک مجموعه n عضوی با نمایش میدهند.

این اعداد به افتخار اریک تمپل بل ، ریاضیدان اسکاتلندی نامگذاری شده اند[۱].

اعداد بل عبارت است از:

۴۱۴۰،۸۷۷،۲۰۳،۵۲،۱۵،۵،۲،۱ و.....

فرمول بازگشتی اعداد بل عبارت است از:

به طوری که (مطابق قرارداد، عدد بل متناظر یک مجموعه تهی برابر ۱ است)

به عنوان مثال:

منابع

  1. نخستین درس در ریاضیات گسسته، نویسنده : ایان اندرسن، انتشارات صنعتی اصفهان

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