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  2. Fill-In (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Fill-In_(puzzle)

    A common variation on the standard Fill-In is using numbers, instead of specific words, sometimes called "cross numbers". [1] [8] In this puzzle, the entries could be listed as the number, a mathematical expression, or even an important year. [8] A more complex variation on the Fill-In is the "diagramless" Fill-In, where the grid is initially ...

  3. Dirichlet's approximation theorem - Wikipedia

    en.wikipedia.org/wiki/Dirichlet's_approximation...

    We write p/q as a finite continued fraction [a 0; a 1, ..., a n], where due to the fact that each rational number has two distinct representations as finite continued fractions differing in length by one (namely, one where a n = 1 and one where a n ≠ 1), we may choose n to be even. (In the case where α < p/q, we would choose n to be odd.)

  4. Kaprekar's routine - Wikipedia

    en.wikipedia.org/wiki/Kaprekar's_routine

    The algorithm is as follows: [1] [4] Choose any natural number in a given number base.This is the first number of the sequence. Create a new number by sorting the digits of in descending order, and another number by sorting the digits of in ascending order.

  5. Carry (arithmetic) - Wikipedia

    en.wikipedia.org/wiki/Carry_(arithmetic)

    It is part of the standard algorithm to add numbers together by starting with the rightmost digits and working to the left. For example, when 6 and 7 are added to make 13, the "3" is written to the same column and the "1" is carried to the left. When used in subtraction the operation is called a borrow.

  6. Linear interpolation - Wikipedia

    en.wikipedia.org/wiki/Linear_interpolation

    Linear interpolation on a data set (red points) consists of pieces of linear interpolants (blue lines). Linear interpolation on a set of data points (x 0, y 0), (x 1, y 1), ..., (x n, y n) is defined as piecewise linear, resulting from the concatenation of linear segment interpolants between each pair of data points.

  7. 109 Times People Were Doing Something Very Wrong For Years - AOL

    www.aol.com/lifestyle/109-times-people-were...

    Image credits: milwbrewsox #7. My wife and I have this ceiling fan/light in our bedroom in the house we moved into two years ago. It has a remote control for the fan and lights.

  8. Surreal number - Wikipedia

    en.wikipedia.org/wiki/Surreal_number

    The additive identity is given by the number 0 = { }, i.e. the number 0 is the unique function whose domain is the ordinal 0, and the additive inverse of the number x is the number −x, given by dom(−x) = dom(x), and, for α < dom(x), (−x)(α) = −1 if x(α) = +1, and (−x)(α) = +1 if x(α) = −1.

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