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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    When an exponent is a positive integer, that exponent indicates how many copies of the base are multiplied together. For example, 3 5 = 3 · 3 · 3 · 3 · 3 = 243. The base 3 appears 5 times in the multiplication, because the exponent is 5. Here, 243 is the 5th power of 3, or 3 raised to the 5th power.

  3. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    Yao's method collects in u first those x i that appear to the highest power ⁠ ⁠; in the next round those with power ⁠ ⁠ are collected in u as well etc. The variable y is multiplied ⁠ h − 1 {\displaystyle h-1} ⁠ times with the initial u , ⁠ h − 2 {\displaystyle h-2} ⁠ times with the next highest powers, and so on.

  4. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    Because superscript exponents like 10 7 can be inconvenient to display or type, the letter "E" or "e" (for "exponent") is often used to represent "times ten raised to the power of", so that the notation m E n for a decimal significand m and integer exponent n means the same as m × 10 n.

  5. Modular exponentiation - Wikipedia

    en.wikipedia.org/wiki/Modular_exponentiation

    Modular exponentiation is the remainder when an integer b (the base) is raised to the power e (the exponent), and divided by a positive integer m (the modulus); that is, c = b e mod m. From the definition of division, it follows that 0 ≤ c < m .

  6. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    Toggle Power series subsection. 2.1 Low-order polylogarithms. 2.2 Exponential function. ... Download as PDF; Printable version; In other projects Wikidata item ...

  7. Seventh power - Wikipedia

    en.wikipedia.org/wiki/Seventh_power

    In arithmetic and algebra, the seventh power of a number n is the result of multiplying seven instances of n together. So: n 7 = n × n × n × n × n × n × n. Seventh powers are also formed by multiplying a number by its sixth power, the square of a number by its fifth power, or the cube of a number by its fourth power.

  8. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    Allows for super-powers and super-exponential function by increasing the number of arrows; used in the article on large numbers. Text notation exp _ a ^ n(x) Based on standard notation; convenient for ASCII. J Notation x ^^: (n-1) x: Repeats the exponentiation. See J (programming language) [7] Infinity barrier notation

  9. Sums of powers - Wikipedia

    en.wikipedia.org/wiki/Sums_of_powers

    In mathematics and statistics, sums of powers occur in a number of contexts: . Sums of squares arise in many contexts. For example, in geometry, the Pythagorean theorem involves the sum of two squares; in number theory, there are Legendre's three-square theorem and Jacobi's four-square theorem; and in statistics, the analysis of variance involves summing the squares of quantities.