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  2. Fair cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Fair_cake-cutting

    A discretization is a sequence of cut-points, and the values of pieces between these cut-points (for example: a protocol for two agents might require each agent to report a sequence of three cut-points (0,x,1) where the values of (0,x) and (x,1) are 1/2). [16]

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, is not in lowest terms because both 3 and 9 can be exactly divided by 3. In contrast, is in lowest terms—the only positive integer that goes into both 3 and 8 evenly is 1. Using these rules, we can show that ⁠ 5 / 10 ⁠ = ⁠ 1 / 2 ⁠ = ⁠ 10 / 20 ⁠ = ⁠ 50 / 100 ⁠, for example.

  4. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

  5. Proportional cake-cutting - Wikipedia

    en.wikipedia.org/wiki/Proportional_cake-cutting

    The algorithm assigns to each of the two halves n/2 partners – the partners whose line is inside that half. E.g., the partners that drew lines at x = 1 and x = 3 are assigned to the western half and the other two partners are assigned to the eastern half. Each half is divided recursively among the n/2 partners assigned to it.

  6. Pizza theorem - Wikipedia

    en.wikipedia.org/wiki/Pizza_theorem

    Let p be an interior point of the disk, and let n be a multiple of 4 that is greater than or equal to 8. Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line ⁠ n / 2 ⁠ − 1 times by an angle of ⁠ 2 π / n ⁠ radians, and slicing the disk on each of the resulting ⁠ n / 2 ⁠ lines.

  7. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...

  8. Division by two - Wikipedia

    en.wikipedia.org/wiki/Division_by_two

    Example: 1738/2=? Write 01738. We will now work on finding the result. 01: even digit followed by 1, write 0. 17: odd digit followed by 7, write 8. 73: odd digit followed by 3, write 6. 38: odd digit followed by 8, write 9. Result: 0869. From the example one can see that 0 is even. If the last digit of N is odd digit one should add 0.5 to the ...

  9. Cube (algebra) - Wikipedia

    en.wikipedia.org/wiki/Cube_(algebra)

    The cube of a number n is denoted n 3, using a superscript 3, [a] for example 2 3 = 8. The cube operation can also be defined for any other mathematical expression, for example (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function xx 3 (often denoted y = x 3) that

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