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  2. Cube root - Wikipedia

    en.wikipedia.org/wiki/Cube_root

    In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.

  3. Cube root law - Wikipedia

    en.wikipedia.org/wiki/Cube_root_law

    The cube root law is an observation in political science that the number of members of a unicameral legislature, or the lower house of a bicameral legislature, is about the cube root of the population being represented. [1] The rule was devised by Rein Taagepera in his 1972 paper "The size of national assemblies". [2]

  4. Talk:Cube root - Wikipedia

    en.wikipedia.org/wiki/Talk:Cube_root

    The introductory paragraph begins: "In mathematics, the cube root of a number, denoted or x 1/3, is the number a such that a3 = x. All real numbers have exactly one real cube root and 2 complex roots, and all nonzero complex numbers have 3 distinct complex cube roots."

  5. File:Cube root.svg - Wikipedia

    en.wikipedia.org/wiki/File:Cube_root.svg

    File:Cube root.svg. Size of this PNG preview of this SVG file: 460 × 244 pixels. Other resolutions: 320 × 170 pixels | 640 × 339 pixels | 1,024 × 543 pixels | 1,280 × 679 pixels | 2,560 × 1,358 pixels. This is a file from the Wikimedia Commons. Information from its description page there is shown below.

  6. Cube (algebra) - Wikipedia

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

    The cube function is the function x ↦ x3 (often denoted y = x3) that maps a number to its cube. It is an odd function, as (−n)3 = − (n3). The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n.

  7. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    the cubic has three distinct real roots If the cubic has one real root and two non-real complex conjugate roots. This can be proved as follows. First, if r is a root of a polynomial with real coefficients, then its complex conjugate is also a root. So the non-real roots, if any, occur as pairs of complex conjugate roots.

  8. Cubic field - Wikipedia

    en.wikipedia.org/wiki/Cubic_field

    Adjoining the real cube root of 2 to the rational numbers gives the cubic field. Q ( 2 3 ) {\displaystyle \mathbf {Q} ( {\sqrt [ {3}] {2}})} . This is an example of a pure cubic field, and hence of a complex cubic field. In fact, of all pure cubic fields, it has the smallest discriminant (in absolute value ), namely −108.

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