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A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects, a language to implement them, and an environment in which to use the language. [4] [5] A CAS may include a user interface and graphics capability; and to be effective may require a large library of algorithms, efficient data structures ...
Wolfram Mathematica is a software system with built-in libraries for several areas of technical computing that allow machine learning, statistics, symbolic computation, data manipulation, network analysis, time series analysis, NLP, optimization, plotting functions and various types of data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in ...
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 computing platform. [1] WolframAlpha gathers data from academic and commercial websites such as the CIA ...
The Wolfram Language ( / ˈwʊlfrəm / WUUL-frəm) is a proprietary, [7] general very high-level multi-paradigm programming language [8] developed by Wolfram Research. It emphasizes symbolic computation, functional programming, and rule-based programming [9] and can employ arbitrary structures and data. [9] It is the programming language of the ...
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. [9]
Wolfram Research, Inc. ( / ˈwʊlfrəm / WUUL-frəm) is an American multinational company that creates computational technology. Wolfram's flagship product is the technical computing program Wolfram Mathematica, first released on June 23, 1988. Other products include WolframAlpha, Wolfram SystemModeler, Wolfram Workbench, [2] gridMathematica ...
v. t. e. In symbolic computation, the Risch algorithm is a method of indefinite integration used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968. The algorithm transforms the problem of integration into a problem ...
The corresponding matrix of eigenvectors is unitary. The eigenvalues of a Hermitian matrix are real, since (λ − λ)v = (A* − A)v = (A − A)v = 0 for a non-zero eigenvector v. If A is real, there is an orthonormal basis for Rn consisting of eigenvectors of A if and only if A is symmetric.