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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 problem of finding a path between two vertices in a graph with minimum weight or length. Compare different algorithms and their time complexities for various types of graphs and weights.
In numerical analysis, Halley's method is a root-finding algorithm used for functions of one real variable with a continuous second derivative. Edmond Halley was an English mathematician and astronomer who introduced the method now called by his name.
Newton's method, also known as the Newton–Raphson method, is a numerical technique to approximate the roots of a function. It uses the derivative of the function to construct a tangent line and find the x-intercept as a better approximation of the root.
Tetration is an operation based on iterated exponentiation, where n copies of a are raised to a power. Learn how to write and read tetration, how it differs from exponentiation and other hyperoperations, and see some examples of tetration with different bases and heights.
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.
An inflection point is a point on a smooth curve where the curvature changes sign, such as a point where a function changes from concave to convex or vice versa. Learn the definition, conditions, examples and categorization of inflection points in differential calculus, differential geometry and algebraic geometry.
An nth root of a number x is a number r that, when raised to the power of n, yields x. The number x is called the radicand and the index or degree of the root is n. Learn more about the history, notation, properties and operations of nth roots.