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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.
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.
A cube root of a number x is a number y such that y3 = x. Learn how to find cube roots of real and complex numbers, their geometric and algebraic representations, and their applications in mathematics and geometry.
The Mandelbrot set is a complex fractal curve that exhibits great complexity and aesthetic appeal. It is defined by a simple iteration of a quadratic map and has many properties and applications in mathematics and computer graphics.
Learn about the origins and solutions of cubic equations, which are polynomial equations of degree 3. Explore the contributions of ancient and medieval mathematicians, such as Babylonians, Greeks, Chinese, Indians, and Persians, and the algebraic formula by Ferrari and Cardano.
Chebyshev nodes are a set of real numbers used for polynomial interpolation. They are the projection of equispaced points on the unit circle onto the real interval, and minimize the Runge's phenomenon.
Desmos is a web and mobile app that allows users to create and share graphs, plots, equations, and functions. It has features such as calculus, geometry, 3D, sound, and interactive art, and is used in education and testing.
Learn about the Chebyshev polynomials, two sequences of polynomials related to the cosine and sine functions, and their properties and applications. The Chebyshev polynomials of the first kind are also the roots of the Chebyshev nodes, which are used for polynomial interpolation and approximation theory.