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  2. Cubic function - Wikipedia

    en.wikipedia.org/wiki/Cubic_function

    Cubic functions of the form = +. The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes.

  3. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    Here ⁡ is an angle in the unit circle; taking ⁠ 1 / 3 ⁠ of that angle corresponds to taking a cube root of a complex number; adding −k ⁠ 2 π / 3 ⁠ for k = 1, 2 finds the other cube roots; and multiplying the cosines of these resulting angles by corrects for scale.

  4. Cube (algebra) - Wikipedia

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

    The cube operation can also be defined for any other mathematical expression, for example (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as (−n) 3 = −(n 3).

  5. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Thomae's function: is a function that is continuous at all irrational numbers and discontinuous at all rational numbers. It is also a modification of Dirichlet function and sometimes called Riemann function. Kronecker delta function: is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise.

  6. Solution in radicals - Wikipedia

    en.wikipedia.org/wiki/Solution_in_radicals

    A solution in radicals or algebraic solution is an expression of a solution of a polynomial equation that is algebraic, that is, relies only on addition, subtraction, multiplication, division, raising to integer powers, and extraction of n th roots (square roots, cube roots, etc.). A well-known example is the quadratic formula

  7. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The quadratic formula, which concisely expresses the solutions of all quadratic equations The Rubik's Cube group is a concrete application of group theory. [26] Algebra is the art of manipulating equations and formulas. Diophantus (3rd century) and al-Khwarizmi (9th century) were the two main precursors of algebra.

  8. Cubic mean - Wikipedia

    en.wikipedia.org/wiki/Cubic_mean

    The cubic mean is also used in biology to measure the mean dimensions of spherical bacteria [8] and of larger animals that are approximately spheroidal in shape. [9] In this case using the conventional arithmetic mean will not give an accurate result because the size of a spherical bacterium increases as the cube of the radius.

  9. Algebraic function - Wikipedia

    en.wikipedia.org/wiki/Algebraic_function

    In mathematics, an algebraic function is a function that can be defined as the root of an irreducible polynomial equation. Algebraic functions are often algebraic expressions using a finite number of terms, involving only the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power.