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  2. Change-making problem - Wikipedia

    en.wikipedia.org/wiki/Change-making_problem

    Another example is attempting to make 40 US cents without nickels (denomination 25, 10, 1) with similar result — the greedy chooses seven coins (25, 10, and 5 × 1), but the optimal is four (4 × 10). A coin system is called "canonical" if the greedy algorithm always solves its change-making problem optimally.

  3. Substitution table - Wikipedia

    en.wikipedia.org/wiki/Substitution_table

    A substitution table is used while teaching structures of English. [1] [2] Substitution tables were invented by Harold E. Palmer, [3] who defines substitution as "the process by which any authentic sentence may be multiplied indefinitely by substituting for any of its words or word-groups others of the same grammatical family and within certain semantic limits".

  4. Dollar coin (United States) - Wikipedia

    en.wikipedia.org/wiki/Dollar_coin_(United_States)

    The dollar coin is a United States coin with a face value of one United States dollar. Dollar coins have been minted in the United States in gold, silver, and base metal versions. Dollar coins were first minted in the United States in 1794. Dollar coins have almost never been popular in circulation since their inception.

  5. List of United States commemorative coins and medals (1920s)

    en.wikipedia.org/wiki/List_of_United_States...

    Coin Obverse design Reverse design Composition Mintage Available Obverse Reverse 50¢ Maine Centennial half dollar: Arms of Maine: Pine wreath 90% Ag, 10% Cu: Authorized: 100,000 (max) Uncirculated: 50,028 [1] 1920 50¢ Pilgrim Tercentenary half dollar: Governor William Bradford: The Mayflower: 90% Ag, 10% Cu Authorized: 300,000 (max 1920-1921 ...

  6. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    And, substitution allows one to derive restrictions on the possible values, or show what conditions the statement holds under. For example, taking the statement x + 1 = 0, if x is substituted with 1, this implies 1 + 1 = 2 = 0, which is false, which implies that if x + 1 = 0 then x cannot be 1.

  7. Integration by substitution - Wikipedia

    en.wikipedia.org/wiki/Integration_by_substitution

    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."

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