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  2. Quadratic formula - Wikipedia

    en.wikipedia.org/wiki/Quadratic_formula

    Quadratic formula. The roots of the quadratic function y = ⁠ 1 2 ⁠x2 − 3x + ⁠ 5 2 ⁠ are the places where the graph intersects the x -axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.

  3. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    e. In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the base and n is the power; this is pronounced as " b (raised) to the (power of) n ". [ 1]

  4. Knuth's up-arrow notation - Wikipedia

    en.wikipedia.org/wiki/Knuth's_up-arrow_notation

    Knuth's up-arrow notation. In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [ 1] In his 1947 paper, [ 2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations. Goodstein also suggested the Greek names tetration, pentation ...

  5. Fifth power (algebra) - Wikipedia

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

    In arithmetic and algebra, the fifth power or sursolid[ 1] of a number n is the result of multiplying five instances of n together: n5 = n × n × n × n × n. Fifth powers are also formed by multiplying a number by its fourth power, or the square of a number by its cube . The sequence of fifth powers of integers is:

  6. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    Exponentiation is when a number b, the base, is raised to a certain power y, the exponent, to give a value x; this is denoted =. For example, raising 2 to the power of 3 gives 8: = The logarithm of base b is the inverse operation, that provides the output y from the input x.

  7. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    Ceiling function. In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor (x). Similarly, the ceiling function maps x to the smallest integer greater than or equal to x, denoted ⌈x⌉ or ceil (x). [ 1]

  8. List of hexagrams of the I Ching - Wikipedia

    en.wikipedia.org/wiki/List_of_hexagrams_of_the_I...

    Hexagram 59 is named 渙 (huàn), "Dispersing". Other variations include "dispersion (dissolution)" and "dispersal". The symbol means dissipate, dissolve, vanish. Its inner (lower) trigram is ☵ ( 坎 kǎn) gorge = ( 水) water, and its outer (upper) trigram is ☴ ( 巽 xùn) ground = ( 風) wind.

  9. Aesthetics - Wikipedia

    en.wikipedia.org/wiki/Aesthetics

    Aesthetics (also spelled esthetics) is the branch of philosophy concerned with the nature of beauty and the nature of taste; and functions as the philosophy of art. [ 1] Aesthetics examines the philosophy of aesthetic value, which is determined by critical judgments of artistic taste; [ 2] thus, the function of aesthetics is the "critical ...