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  2. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    The order of operations, that is, the order in which the operations in an expression are usually performed, results from a convention adopted throughout mathematics, science, technology and many computer programming languages. It is summarized as: [2] [5] Parentheses; Exponentiation; Multiplication and division; Addition and subtraction

  3. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Thomae's function: is a function that is continuous at all irrational numbers and discontinuous at all rational numbers. It is also a modification of Dirichlet function and sometimes called Riemann function. Kronecker delta function: is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise.

  4. Extremal orders of an arithmetic function - Wikipedia

    en.wikipedia.org/wiki/Extremal_orders_of_an...

    For the number of divisors function d(n) we have the trivial lower bound 2 ≤ d(n), in which equality occurs when n is prime, so 2 is a minimal order. For ln d(n) we have a maximal order ln 2 ln n / ln ln n, proved by Wigert in 1907. [1]: 82 [2]: Theorem 317

  5. Average order of an arithmetic function - Wikipedia

    en.wikipedia.org/wiki/Average_order_of_an...

    An average order of σ(n), the sum of divisors of n, is nπ 2 / 6; An average order of φ(n), Euler's totient function of n, is 6n / π 2; An average order of r(n), the number of ways of expressing n as a sum of two squares, is π; The average order of representations of a natural number as a sum of three squares is 4πn / 3;

  6. Normal order of an arithmetic function - Wikipedia

    en.wikipedia.org/wiki/Normal_order_of_an...

    In number theory, a normal order of an arithmetic function is some simpler or better-understood function which "usually" takes the same or closely approximate values. Let f be a function on the natural numbers. We say that g is a normal order of f if for every ε > 0, the inequalities

  7. List of spreadsheet software - Wikipedia

    en.wikipedia.org/wiki/List_of_spreadsheet_software

    In chronologial order, year launched, product, launched for which machine/OS. 1979, VisiCalc for Apple II with 32K RAM, the first widely used normal spreadsheet with A1 notation etc. 1980, SuperCalc for CP/M-80 operating system, included with early Osborne computers.

  8. Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Excel

    Excel for the web is a free lightweight version of Microsoft Excel available as part of Office on the web, which also includes web versions of Microsoft Word and Microsoft PowerPoint. Excel for the web can display most of the features available in the desktop versions of Excel, although it may not be able to insert or edit them.

  9. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    Nowhere continuous function: is not continuous at any point of its domain; for example, the Dirichlet function. Homeomorphism: is a bijective function that is also continuous, and whose inverse is continuous. Open function: maps open sets to open sets. Closed function: maps closed sets to closed sets.