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  2. Interval (mathematics) - Wikipedia

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

    In summary, a set of the real numbers is an interval, if and only if it is an open interval, a closed interval, or a half-open interval. [4] [5] A degenerate interval is any set consisting of a single real number (i.e., an interval of the form [a, a]). [6] Some authors include the empty set in this definition.

  3. Interval arithmetic - Wikipedia

    en.wikipedia.org/wiki/Interval_arithmetic

    The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    When no confusion is possible, notation f(S) is commonly used. [ , ] 1. Closed interval: if a and b are real numbers such that , then [,] denotes the closed interval defined by them. 2. Commutator (group theory): if a and b belong to a group, then [,] =. 3.

  5. Partially ordered set - Wikipedia

    en.wikipedia.org/wiki/Partially_ordered_set

    An interval in a poset P is a subset that can be defined with interval notation: For a ≤ b, the closed interval [a, b] is the set of elements x satisfying a ≤ x ≤ b (that is, a ≤ x and x ≤ b). It contains at least the elements a and b.

  6. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    In the case of adding 4 to 9, this means that the result is not 13 but 1. The same principle applies also to other operations, such as subtraction, multiplication, and division. [139] Some forms of arithmetic deal with operations performed on mathematical objects other than numbers. Interval arithmetic describes operations on intervals. [140]

  7. Nested intervals - Wikipedia

    en.wikipedia.org/wiki/Nested_intervals

    Since () is a sequence of nested intervals, the interval lengths get arbitrarily small; in particular, there exists an interval with a length smaller than . But from s ∈ I n {\displaystyle s\in I_{n}} one gets s − a n < s − σ {\displaystyle s-a_{n}<s-\sigma } and therefore a n > σ {\displaystyle a_{n}>\sigma } .

  8. Today's Wordle Hint, Answer for #1260 on Saturday, November ...

    www.aol.com/todays-wordle-hint-answer-1260...

    SPOILERS BELOW—do not scroll any further if you don't want the answer revealed. The New York Times. Today's Wordle Answer for #1260 on Saturday, November 30, 2024.

  9. Partition of an interval - Wikipedia

    en.wikipedia.org/wiki/Partition_of_an_interval

    A partition of an interval being used in a Riemann sum. The partition itself is shown in grey at the bottom, with the norm of the partition indicated in red. In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x 0, x 1, x 2, …, x n of real numbers such that a = x 0 < x 1 < x 2 < … < x n = b.

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