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A cube root of a number x is a number y such that y3 = x. Learn about the real and complex cube roots, their formal definition, geometric representation, numerical methods and applications in mathematics.
Learn about the origins and solutions of cubic equations, which are equations of the form ax3 + bx2 + cx + d = 0. Find out how ancient and medieval mathematicians from different cultures approached and solved cubic equations using algebra, geometry, and numerical approximations.
The cube root law is an observation in political science that the number of members of a unicameral legislature, or of the lower house of a bicameral legislature, is about the cube root of the population being represented. [1] The rule was devised by Estonian political scientist Rein Taagepera in his 1972 paper "The size of national assemblies ...
An nth root of a number x is a number r that, when raised to the power of n, yields x. Learn about the notation, history, arithmetic operations and identities of nth roots, especially square roots and cube roots.
A cubic function is a polynomial function of degree three that maps real or complex numbers to real or complex numbers. Learn about its graph, roots, critical points, inflection point, symmetry, classification, and cubic interpolation.
A cube is the third power of a number, denoted by a superscript 3. Learn about the cube function, the cube root, the cubic parabola, and the perfect cubes in arithmetic and geometry.
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.
Learn about different algorithms for approximating the non-negative square root of a positive real number, such as Heron's method, Newton's method, and continued fractions. Compare the accuracy, complexity, and history of various methods, and how to choose a suitable initial estimate.