enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Interval (mathematics) - Wikipedia

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

    The addition x + a on the number line. All numbers greater than x and less than x + a fall within that open interval. In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the interval extends without a ...

  3. Glossary of mathematical symbols - Wikipedia

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

    Open interval: If a and b are real numbers, , or +, and <, then ], [denotes the open interval delimited by a and b. See ( , ) for an alternative notation. Both notations are used for a left-open interval .

  4. Interval arithmetic - Wikipedia

    en.wikipedia.org/wiki/Interval_arithmetic

    So, given the fact that an interval number is a real closed interval and a complex number is an ordered pair of real numbers, there is no reason to limit the application of interval arithmetic to the measure of uncertainties in computations with real numbers. [3] Interval arithmetic can thus be extended, via complex interval numbers, to ...

  5. Nested intervals - Wikipedia

    en.wikipedia.org/wiki/Nested_intervals

    The central question to be posed is the nature of the intersection over all the natural numbers, or, put differently, the set of numbers, that are found in every Interval (thus, for all ). In modern mathematics, nested intervals are used as a construction method for the real numbers (in order to complete the field of rational numbers).

  6. Series (mathematics) - Wikipedia

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

    When every term of a series is a non-negative real number, for instance when the terms are the absolute values of another series of real numbers or complex numbers, the sequence of partial sums is non-decreasing. Therefore a series with non-negative terms converges if and only if the sequence of partial sums is bounded, and so finding a bound ...

  7. Extended real number line - Wikipedia

    en.wikipedia.org/wiki/Extended_real_number_line

    Extended real numbers (top) vs projectively extended real numbers (bottom) In mathematics , the extended real number system [ a ] is obtained from the real number system R {\displaystyle \mathbb {R} } by adding two elements denoted + ∞ {\displaystyle +\infty } and − ∞ {\displaystyle -\infty } [ b ] that are respectively greater and lower ...

  8. 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.

  9. Counting measure - Wikipedia

    en.wikipedia.org/wiki/Counting_measure

    The counting measure is a special case of a more general construction. With the notation as above, any function : [,) defines a measure on (,) via ():= (), where the possibly uncountable sum of real numbers is defined to be the supremum of the sums over all finite subsets, that is, := , | | < {}.