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url url url url
  2. Weltenzyklopädie
  3. اعداد بل
اعداد بل
از ویکی‌پدیا، دانشنامهٔ آزاد

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:

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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

[ویرایش]
  1. ↑ نخستین درس در ریاضیات گسسته، نویسنده : ایان اندرسن، انتشارات صنعتی اصفهان
آیکون خرد

این یک مقالهٔ خرد ریاضیات است. می‌توانید با گسترش آن به ویکی‌پدیا کمک کنید.

برگرفته از «https://fa.wikipedia.org/w/index.php?title=اعداد_بل&oldid=40563361»
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