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  2. Limit (mathematics) - Wikipedia

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

    In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [1] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

  3. Tomlin order - Wikipedia

    en.wikipedia.org/wiki/Tomlin_order

    The Tomlin order permits either party to apply to court to enforce the terms of the order, which avoids the need to start fresh proceedings. The terms of the schedule do not form part of the court order and so may remain confidential, and they may include matters outside the jurisdiction of the court or the scope of the case in hand.

  4. Special ordered set - Wikipedia

    en.wikipedia.org/wiki/Special_ordered_set

    The ‘only’ benefit of using Special Ordered Sets compared with using only constraints is that the search procedure will generally be noticeably faster. [1] As per J.A. Tomlin, Special Order Sets provide a powerful means of modeling nonconvex functions and discrete requirements, though there has been a tendency to think of them only in terms ...

  5. Interchange of limiting operations - Wikipedia

    en.wikipedia.org/wiki/Interchange_of_limiting...

    In mathematics, the study of interchange of limiting operations is one of the major concerns of mathematical analysis, in that two given limiting operations, say L and M, cannot be assumed to give the same result when applied in either order. One of the historical sources for this theory is the study of trigonometric series. [1]

  6. Limit of a function - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_function

    The function = {< has a limit at every non-zero x-coordinate (the limit equals 1 for negative x and equals 2 for positive x). The limit at x = 0 does not exist (the left-hand limit equals 1, whereas the right-hand limit equals 2).

  7. Periodic point - Wikipedia

    en.wikipedia.org/wiki/Periodic_point

    For r between 1 and 3, the value 0 is still periodic but is not attracting, while the value is an attracting periodic point of period 1. With r greater than 3 but less than ⁠ 1 + 6 , {\displaystyle 1+{\sqrt {6}},} ⁠ there are a pair of period-2 points which together form an attracting sequence, as well as the non-attracting period-1 points ...

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  9. Sharkovskii's theorem - Wikipedia

    en.wikipedia.org/wiki/Sharkovskii's_theorem

    In a well-order, every subset would have an earliest element, but in this order there is no earliest power of two. Sharkovskii's theorem states that if f {\displaystyle f} has a periodic point of least period m {\displaystyle m} , and m {\displaystyle m} precedes n {\displaystyle n} in the above ordering, then f {\displaystyle f} has also a ...