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  2. Chopsticks (hand game) - Wikipedia

    en.wikipedia.org/wiki/Chopsticks_(hand_game)

    Chopsticks (sometimes called Calculator, or just Sticks) [citation needed] is a hand game for two or more players, in which players extend a number of fingers from each hand and transfer those scores by taking turns tapping one hand against another. [1][2] Chopsticks is an example of a combinatorial game, and is solved in the sense that with ...

  3. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    Calculus. In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation, and can loosely be thought of as using the chain rule "backwards."

  4. Order of integration (calculus) - Wikipedia

    en.wikipedia.org/wiki/Order_of_integration...

    t. e. In calculus, interchange of the order of integration is a methodology that transforms iterated integrals (or multiple integrals through the use of Fubini's theorem) of functions into other, hopefully simpler, integrals by changing the order in which the integrations are performed.

  5. Pancake sorting - Wikipedia

    en.wikipedia.org/wiki/Pancake_sorting

    Pancake sorting is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the stack and used to flip all pancakes above it. A pancake number is the minimum number of flips required for a given number of pancakes. In this form, the problem was first discussed by American ...

  6. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    In mathematics, the derivative is a fundamental tool that quantifies the sensitivity of change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.

  7. Heap's algorithm - Wikipedia

    en.wikipedia.org/wiki/Heap's_algorithm

    Heap's algorithm generates all possible permutations of n objects. It was first proposed by B. R. Heap in 1963. [ 1 ] The algorithm minimizes movement: it generates each permutation from the previous one by interchanging a single pair of elements; the other n−2 elements are not disturbed. In a 1977 review of permutation-generating algorithms ...

  8. Heaviside cover-up method - Wikipedia

    en.wikipedia.org/wiki/Heaviside_cover-up_method

    The Heaviside cover-up method, named after Oliver Heaviside, is a technique for quickly determining the coefficients when performing the partial-fraction expansion of a rational function in the case of linear factors. [1][2][3][4]

  9. 2-opt - Wikipedia

    en.wikipedia.org/wiki/2-opt

    2-opt. In optimization, 2-opt is a simple local search algorithm for solving the traveling salesman problem. The 2-opt algorithm was first proposed by Croes in 1958, [1] although the basic move had already been suggested by Flood. [2] The main idea behind it is to take a route that crosses over itself and reorder it so that it does not.