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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. Change of variables - Wikipedia

    en.wikipedia.org/wiki/Change_of_variables

    Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering differentiation or integration (integration by substitution). A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial:

  4. 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.

  5. Coin problem - Wikipedia

    en.wikipedia.org/wiki/Coin_problem

    Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively. A point on a line gives a combination of 2p and 5p for its given total (green).

  6. Trump aims to deport all immigrants in the US illegally - AOL

    www.aol.com/news/trump-says-aims-deport...

    By Ted Hesson. WASHINGTON (Reuters) -U.S. President-elect Donald Trump aims to deport all immigrants in the U.S. illegally over his four-year term but wants a deal to protect so-called "Dreamer ...

  7. Elon Musk pay defeat sets up a 2025 legal battle that could ...

    www.aol.com/finance/elon-musk-pay-defeat-sets...

    Tesla pledged to keep fighting for Elon Musk's $56 billion pay to be restored, a battle that could make it all the way to the highest US court.

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