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  2. Absolute value - Wikipedia

    en.wikipedia.org/wiki/Absolute_value

    The absolute value of a number may be thought of as its distance from zero. In mathematics, the absolute value or modulus of a real number , denoted , is the non-negative value of without regard to its sign. Namely, if is a positive number, and if is negative (in which case negating makes positive), and . For example, the absolute value of 3 is ...

  3. Absolute value (algebra) - Wikipedia

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

    The standard absolute value on the integers. The standard absolute value on the complex numbers.; The p-adic absolute value on the rational numbers.; If R is the field of rational functions over a field F and () is a fixed irreducible polynomial over F, then the following defines an absolute value on R: for () in R define | | to be , where () = () and ((), ()) = = ((), ()).

  4. Positive and negative parts - Wikipedia

    en.wikipedia.org/wiki/Positive_and_negative_parts

    Positive and Negative Parts of f(x) = x2 − 4. In mathematics, the positive part of a real or extended real -valued function is defined by the formula. {\displaystyle f^ {+} (x)=\max (f (x),0)= {\begin {cases}f (x)& {\text { if }}f (x)>0\\0& {\text { otherwise.}}\end {cases}}} Intuitively, the graph of is obtained by taking the graph of ...

  5. Triangle inequality - Wikipedia

    en.wikipedia.org/wiki/Triangle_inequality

    The triangle inequality is a defining property of norms and measures of distance. This property must be established as a theorem for any function proposed for such purposes for each particular space: for example, spaces such as the real numbers, Euclidean spaces, the L p spaces ( p ≥ 1 ), and inner product spaces .

  6. Magnitude (mathematics) - Wikipedia

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

    For numbers, the absolute value of a number is commonly applied as the measure of units between a number and zero. In vector spaces, the Euclidean norm is a measure of magnitude used to define a distance between two points in space. In physics, magnitude can be defined as quantity or distance.

  7. Spreadsheet - Wikipedia

    en.wikipedia.org/wiki/Spreadsheet

    A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. [1] [2] [3] Spreadsheets were developed as computerized analogs of paper accounting worksheets. [4] The program operates on data entered in cells of a table. Each cell may contain either numeric or text data, or the results of ...

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