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  2. Stalagmometric method - Wikipedia

    en.wikipedia.org/wiki/Stalagmometric_method

    [1] The stalagmometric method (Ancient Greek: στάλαγμα, romanized: stálagma, lit. 'drop') is one of the most common methods for measuring surface tension . The principle is to measure the weight of drops of a fluid of interest falling from a capillary glass tube , and thereby calculate the surface tension of the fluid.

  3. Official Table of Drops - Wikipedia

    en.wikipedia.org/wiki/Official_Table_of_Drops

    The Official Table of Drops, formerly issued by the British Home Office, is a manual which is used to calculate the appropriate length of rope for long drop hangings. Following a series of failed hangings, including those of John Babbacombe Lee , a committee chaired by Henry Bruce, 1st Baron Aberdare was formed in 1886 to discover and report on ...

  4. Meissel–Lehmer algorithm - Wikipedia

    en.wikipedia.org/wiki/Meissel–Lehmer_algorithm

    Meissel already found that for k ≥ 3, P k (x, a) = 0 if a = π(x 1/3).He used the resulting equation for calculations of π(x) for big values of x. [1]Meissel calculated π(x) for values of x up to 10 9, but he narrowly missed the correct result for the biggest value of x.

  5. List of mathematics-based methods - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematics-based...

    Copeland's method (voting systems) Crank–Nicolson method (numerical analysis) D'Hondt method (voting systems) D21 – Janeček method (voting system) Discrete element method (numerical analysis) Domain decomposition method (numerical analysis) Epidemiological methods; Euler's forward method; Explicit and implicit methods (numerical analysis)

  6. Inclusion–exclusion principle - Wikipedia

    en.wikipedia.org/wiki/Inclusion–exclusion...

    The principle can be viewed as an example of the sieve method extensively used in number theory and is sometimes referred to as the sieve formula. [ 4 ] As finite probabilities are computed as counts relative to the cardinality of the probability space , the formulas for the principle of inclusion–exclusion remain valid when the cardinalities ...

  7. Stars and bars (combinatorics) - Wikipedia

    en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)

    If, for example, there are two balls and three bins, then the number of ways of placing the balls is (+) = =. The table shows the six possible ways of distributing the two balls, the strings of stars and bars that represent them (with stars indicating balls and bars separating bins from one another), and the subsets that correspond to the strings.

  8. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    Similar to the examples described above, we consider x, y, φ to be independent uniform random variables over the ranges 0 ≤ x ≤ a, 0 ≤ y ≤ b, − ⁠ π / 2 ⁠ ≤ φ ≤ ⁠ π / 2 ⁠. To solve such a problem, we first compute the probability that the needle crosses no lines, and then we take its complement.

  9. Twelvefold way - Wikipedia

    en.wikipedia.org/wiki/Twelvefold_way

    The formula counting all functions N → X is not useful here, because the number of them grouped together by permutations of N varies from one function to another. Rather, as explained under combinations , the number of n -multicombinations from a set with x elements can be seen to be the same as the number of n -combinations from a set with x ...