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WolframAlpha (/ ˈwʊlf.rəm -/ WUULf-rəm-) is an answer engine developed by Wolfram Research. [3] It is offered as an online service that answers factual queries by computing answers from externally sourced data. [4][5] WolframAlpha was released on May 18, 2009, and is based on Wolfram's earlier product Wolfram Mathematica, a technical ...
The fixed point iteration xn+1 = cos xn with initial value x1 = −1. An attracting fixed point of a function f is a fixed point xfix of f with a neighborhood U of "close enough" points around xfix such that for any value of x in U, the fixed-point iteration sequence is contained in U and converges to xfix. The basin of attraction of xfix is ...
www.stephenwolfram.com. twitter.com /stephen _wolfram. Stephen Wolfram (/ ˈwʊlfrəm / WUUL-frəm; born 29 August 1959) is a British-American [6] computer scientist, physicist, and businessman. He is known for his work in computer algebra, and theoretical physics. [7][8] In 2012, he was named a fellow of the American Mathematical Society.
Successor to Derive. Based on Derive's engine used in TI-89/Voyage 200 and TI-Nspire handheld. Wolfram Alpha. Wolfram Research. 2009. 2013. Pro version: $4.99 / month, Pro version for students: $2.99 / month, ioRegular version: free. Proprietary. Online computer algebra system with step-by step solutions.
e. In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown (s) consists of one (or more) function (s) and involves the derivatives of those functions. [1] The term "ordinary" is used in contrast with partial differential equations ...
The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i The graph of y = W(x) for real x < 6 and y > −4.The upper branch (blue) with y ≥ −1 is the graph of the function W 0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W −1.
An interior point method was discovered by Soviet mathematician I. I. Dikin in 1967. [1] The method was reinvented in the U.S. in the mid-1980s. In 1984, Narendra Karmarkar developed a method for linear programming called Karmarkar's algorithm, [2] which runs in provably polynomial time (() operations on L-bit numbers, where n is the number of variables and constants), and is also very ...
An ordinary differential equation (ODE) is an equation containing an unknown function of one real or complex variable x, its derivatives, and some given functions of x. The unknown function is generally represented by a variable (often denoted y), which, therefore, depends on x. Thus x is often called the independent variable of the equation.