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  2. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    function gcd(a, b) while b ≠ 0 t := b b := a mod b a := t return a At the beginning of the k th iteration, the variable b holds the latest remainder r k−1, whereas the variable a holds its predecessor, r k−2. The step b := a mod b is equivalent to the above recursion formula r k ≡ r k−2 mod r k−1.

  3. PDF - Wikipedia

    en.wikipedia.org/wiki/PDF

    Interactive Forms is a mechanism to add forms to the PDF file format. PDF currently supports two different methods for integrating data and PDF forms. Both formats today coexist in the PDF specification: [38] [53] [54] [55] AcroForms (also known as Acrobat forms), introduced in the PDF 1.2 format specification and included in all later PDF ...

  4. Greatest common divisor - Wikipedia

    en.wikipedia.org/wiki/Greatest_common_divisor

    gcd(a, b) is closely related to the least common multiple lcm(a, b): we have gcd(a, b)⋅lcm(a, b) = | a⋅b |. This formula is often used to compute least common multiples: one first computes the GCD with Euclid's algorithm and then divides the product of the given numbers by their GCD. The following versions of distributivity hold true:

  5. Binary GCD algorithm - Wikipedia

    en.wikipedia.org/wiki/Binary_GCD_algorithm

    Visualisation of using the binary GCD algorithm to find the greatest common divisor (GCD) of 36 and 24. Thus, the GCD is 2 2 × 3 = 12.. The binary GCD algorithm, also known as Stein's algorithm or the binary Euclidean algorithm, [1] [2] is an algorithm that computes the greatest common divisor (GCD) of two nonnegative integers.

  6. Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Excel

    Although supporting and encouraging the use of new XML-based formats as replacements, Excel 2007 remained backwards-compatible with the traditional, binary formats. In addition, most versions of Microsoft Excel can read CSV, DBF, SYLK, DIF, and other legacy formats. Support for some older file formats was removed in Excel 2007. [36] The file ...

  7. Spreadsheet - Wikipedia

    en.wikipedia.org/wiki/Spreadsheet

    Formulas in the B column multiply values from the A column using relative references, and the formula in B4 uses the SUM() function to find the sum of values in the B1:B3 range. A formula identifies the calculation needed to place the result in the cell it is contained within. A cell containing a formula, therefore, has two display components ...

  8. Office Open XML file formats - Wikipedia

    en.wikipedia.org/wiki/Office_Open_XML_file_formats

    The Office Open XML file formats are a set of file formats that can be used to represent electronic office documents. There are formats for word processing documents, spreadsheets and presentations as well as specific formats for material such as mathematical formulas, graphics, bibliographies etc.

  9. Formula editor - Wikipedia

    en.wikipedia.org/wiki/Formula_editor

    A formula editor is a computer program that is used to typeset mathematical formulas and mathematical expressions. Formula editors typically serve two purposes: They allow word processing and publication of technical content either for print publication, or to generate raster images for web pages or screen presentations.