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2. Coupon collector's problem - Wikipedia

   en.wikipedia.org/wiki/Coupon_collector's_problem

   In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...

3. Cyclic redundancy check - Wikipedia

   en.wikipedia.org/wiki/Cyclic_redundancy_check

   Cyclic redundancy check. A cyclic redundancy check ( CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to digital data. [1] [2] Blocks of data entering these systems get a short check value attached, based on the remainder of a polynomial division of their contents.

4. List of SMTP server return codes - Wikipedia

   en.wikipedia.org/wiki/List_of_SMTP_server_return...

   X.1.XXX Addressing Status. X.2.XXX Mailbox Status. X.3.XXX Mail System Status. X.4.XXX Network and Routing Status. X.5.XXX Mail Delivery Protocol Status. X.6.XXX Message Content or Media Status. X.7.XXX Security or Policy Status. The meaning of the "detail" field depends on the class and the subject, and are listed in RFC 3463 and RFC 5248 . A ...

5. Harmonic series (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Harmonic_series_(mathematics)

   Calculus. In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions : The first terms of the series sum to approximately , where is the natural logarithm and is the Euler–Mascheroni constant. Because the logarithm has arbitrarily large values, the harmonic series does not have a finite limit: it ...

6. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - Wikipedia

   en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

   The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation, this may be expressed as. The series is related to philosophical questions considered in antiquity, particularly ...

7. Reed–Muller code - Wikipedia

   en.wikipedia.org/wiki/Reed–Muller_code

   The Reed–Muller RM(r, m) code of order r and length N = 2 m is the code generated by v 0 and the wedge products of up to r of the v i, 1 ≤ i ≤ m (where by convention a wedge product of fewer than one vector is the identity for the operation).

8. 1/4 + 1/16 + 1/64 + 1/256 + ⋯ - Wikipedia

   en.wikipedia.org/wiki/1/4_%2B_1/16_%2B_1/64_%2B...

   1/4 + 1/16 + 1/64 + 1/256 + ⋯. Archimedes' figure with a = 3 4. In mathematics, the infinite series 1 4 + 1 16 + 1 64 + 1 256 + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1] As it is a geometric series with first term 1 4 and common ratio 1 4 ...

9. Fibonacci sequence - Wikipedia

   en.wikipedia.org/wiki/Fibonacci_sequence

   Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.