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  2. Cube root - Wikipedia

    en.wikipedia.org/wiki/Cube_root

    The cube roots of a number x are the numbers y which satisfy the equation Properties Real numbers For any real number x, there is one real number y such that y3 = x. The cube function is increasing, so does not give the same result for two different inputs, and it covers all real numbers. In other words, it is a bijection, or one-to-one.

  3. Cube root rule - Wikipedia

    en.wikipedia.org/wiki/Cube_root_rule

    The cube root rule or 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. The rule was devised by Rein Taagepera in his 1972 paper "The size of national assemblies".

  4. 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.

  5. 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.

  6. Cube - Wikipedia

    en.wikipedia.org/wiki/Cube

    The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a square parallelepiped, an equilateral cuboid and a right rhombohedron a 3 - zonohedron. It is a regular square prism in three orientations, and a trigonal trapezohedron in four orientations.

  7. Cube rule - Wikipedia

    en.wikipedia.org/wiki/Cube_rule

    The cube rule or cube law is an empirical observation regarding elections under the first-past-the-post system. The rule suggests that the party getting the most votes is over-represented (and conversely, the party getting the fewest votes is under-represented). It was first formulated in a report on British elections in 1909, then extended to ...

  8. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Squarecube_law

    The square–cube law was first mentioned in Two New Sciences (1638). The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases.

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