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  2. Base (exponentiation) - Wikipedia

    en.wikipedia.org/wiki/Base_(exponentiation)

    The number n is called the exponent and the expression is known formally as exponentiation of b by n or the exponential of n with base b. It is more commonly expressed as "the nth power of b", "b to the nth power" or "b to the power n". For example, the fourth power of 10 is 10,000 because 10 4 = 10 × 10 × 10 × 10 = 10,000.

  3. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    The definition of exponentiation can be extended in a natural way (preserving the multiplication rule) to define for any positive real base and any real number exponent . More involved definitions allow complex base and exponent, as well as certain types of matrices as base or exponent.

  4. Exponentiation by squaring - Wikipedia

    en.wikipedia.org/wiki/Exponentiation_by_squaring

    For n greater than about 4 this is computationally more efficient than naively multiplying the base with itself repeatedly. Each squaring results in approximately double the number of digits of the previous, and so, if multiplication of two d -digit numbers is implemented in O( d k ) operations for some fixed k , then the complexity of ...

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Exponentiation is an arithmetic operation in which a number, known as the base, is raised to the power of another number, known as the exponent. The result of this operation is called the power. Exponentiation is sometimes expressed using the symbol ^ but the more common way is to write the exponent in superscript right after the base.

  6. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Multiplication symbols are usually omitted, and implied, when there is no operator between two variables or terms, or when a coefficient is used. For example, 3 × x 2 is written as 3x 2, and 2 × x × y is written as 2xy. [5] Sometimes, multiplication symbols are replaced with either a dot or center-dot, so that x × y is written as either x ...

  7. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value

  8. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    Since complex numbers can be raised to powers, tetration can be applied to bases of the form z = a + bi (where a and b are real). For example, in n z with z = i , tetration is achieved by using the principal branch of the natural logarithm; using Euler's formula we get the relation:

  9. Magic (game terminology) - Wikipedia

    en.wikipedia.org/wiki/Magic_(game_terminology)

    In both tabletop role-playing games and role-playing video games, magic is most usually used to cast spells during battles. However magic has many uses outside of combat situations, such as using love spells on NPCs to gain information. [8] [9] Some games base the strength and amount of a character's magic on stats such as "wisdom" or ...

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