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  2. Binary search - Wikipedia

    en.wikipedia.org/wiki/Binary_search

    Binary search Visualization of the binary search algorithm where 7 is the target value Class Search algorithm Data structure Array Worst-case performance O (log n) Best-case performance O (1) Average performance O (log n) Worst-case space complexity O (1) Optimal Yes In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search ...

  3. Middle-square method - Wikipedia

    en.wikipedia.org/wiki/Middle-square_method

    One iteration of the middle-square method, showing a 6-digit seed, which is then squared, and the resulting value has its middle 6 digits as the output value (and also as the next seed for the sequence). Directed graph of all 100 2-digit pseudorandom numbers obtained using the middle-square method with n = 2.

  4. Bisection method - Wikipedia

    en.wikipedia.org/wiki/Bisection_method

    A few steps of the bisection method applied over the starting range [a 1;b 1].The bigger red dot is the root of the function. In mathematics, the bisection method is a root-finding method that applies to any continuous function for which one knows two values with opposite signs.

  5. One-pass algorithm - Wikipedia

    en.wikipedia.org/wiki/One-pass_algorithm

    However, this is solvable with two passes: Pass 1 counts the elements and pass 2 picks out the middle one. Given a list of numbers: Find the median. Find the modes (This is not the same as finding the most frequent symbol from a limited alphabet). Sort the list. Count the number of items greater than or less than the mean. However, this can be ...

  6. Median - Wikipedia

    en.wikipedia.org/wiki/Median

    The median of a finite list of numbers is the "middle" number, when those numbers are listed in order from smallest to greatest. If the data set has an odd number of observations, the middle one is selected (after arranging in ascending order). For example, the following list of seven numbers, 1, 3, 3, 6, 7, 8, 9

  7. List of random number generators - Wikipedia

    en.wikipedia.org/wiki/List_of_random_number...

    Widely used in many programs, e.g. it is used in Excel 2003 and later versions for the Excel function RAND [8] and it was the default generator in the language Python up to version 2.2. [9] Rule 30: 1983 S. Wolfram [10] Based on cellular automata. Inversive congruential generator (ICG) 1986 J. Eichenauer and J. Lehn [11] Blum Blum Shub: 1986

  8. Average - Wikipedia

    en.wikipedia.org/wiki/Average

    In ordinary language, an average is a single number or value that best represents a set of data. The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list. For example, the mean average of the numbers 2, 3, 4, 7, and 9 (summing to ...

  9. Selection algorithm - Wikipedia

    en.wikipedia.org/wiki/Selection_algorithm

    With this choice, it is likely that is sandwiched between the two pivots, so that after pivoting only a small number of data values between the pivots are left for a recursive call. This method can achieve an expected number of comparisons that is n + min ( k , n − k ) + o ( n ) {\displaystyle n+\min(k,n-k)+o(n)} . [ 11 ]