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  2. Mark Meechan - Wikipedia

    en.wikipedia.org/wiki/Mark_Meechan

    Mark Meechan ( pronounced [miːkæn]) (born 19 October 1987 [1]) is a Scottish YouTuber, comedian, [5] and former candidate for the European Parliament. [6] [7] He uses the pseudonym Count Dankula . Meechan received press coverage when he posted a video showing him teaching his girlfriend's dog how to raise its paw in the manner of a Nazi ...

  3. Count Duckula 2 - Wikipedia

    en.wikipedia.org/wiki/Count_Duckula_2

    Release. 1992. Genre (s) Platform. Mode (s) Single player. Count Duckula 2 is a computer game for the ZX Spectrum and Amstrad CPC released in 1992 by Alternative Software. It was the follow-up to the 1989 release Count Duckula in No Sax Please—We're Egyptian. Both are tie-in licenses of the Cosgrove Hall Count Duckula cartoon series.

  4. Basel problem - Wikipedia

    en.wikipedia.org/wiki/Basel_problem

    The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [1] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [2]

  5. Faulhaber's formula - Wikipedia

    en.wikipedia.org/wiki/Faulhaber's_formula

    Faulhaber's formula concerns expressing the sum of the p -th powers of the first n positive integers. as a ( p + 1)th-degree polynomial function of n . The first few examples are well known. For p = 0, we have. For p = 1, we have the triangular numbers For p = 2, we have the square pyramidal numbers.

  6. 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 ...

  7. Central binomial coefficient - Wikipedia

    en.wikipedia.org/wiki/Central_binomial_coefficient

    The central binomial coefficients give the number of possible number of assignments of n -a-side sports teams from 2 n players, taking into account the playing area side. The central binomial coefficient is the number of arrangements where there are an equal number of two types of objects. For example, when , the binomial coefficient is equal ...

  8. Bertrand's postulate - Wikipedia

    en.wikipedia.org/wiki/Bertrand's_postulate

    Bertrand's postulate was proposed for applications to permutation groups. Sylvester (1814–1897) generalized the weaker statement with the statement: the product of k consecutive integers greater than k is divisible by a prime greater than k. Bertrand's (weaker) postulate follows from this by taking k = n, and considering the k numbers n + 1 ...

  9. Harmonic number - Wikipedia

    en.wikipedia.org/wiki/Harmonic_number

    In mathematics, the n -th harmonic number is the sum of the reciprocals of the first n natural numbers : Starting from n = 1, the sequence of harmonic numbers begins: Harmonic numbers are related to the harmonic mean in that the n -th harmonic number is also n times the reciprocal of the harmonic mean of the first n positive integers.

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