WolframAlpha functionality in Microsoft Excel is deprecated in June 2023. WolframAlpha data types were available beginning in July 2020 using Microsoft Excel, but the Microsoft-Wolfram partnership ended in favor of Microsoft Power Query data types. For factual question answering, WolframAlpha was previously used by Apple's Siri and Amazon Alexa for math and science queries but is no longer operational within those services. WolframAlpha was used to power some searches in the Microsoft Bing and DuckDuckGo search engines but is no longer used to provide search results. WolframAlpha is written in the Wolfram Language, a general multi-paradigm programming language, and implemented in Mathematica, that is proprietary and not commonly used by developers. Mathematical symbolism can also be parsed by the engine, which responds with numerical and statistical results. It displays its 'Input interpretation' of such a question, using standardized phrases. It is able to respond to particularly phrased natural language fact-based questions. WolframAlpha then computes answers and relevant visualizations from a knowledge base of curated, structured data that come from other sites and books. Users submit queries and computation requests via a text field. WolframAlpha gathers data from academic and commercial websites such as the CIA's The World Factbook, the United States Geological Survey, a Cornell University Library publication called All About Birds, Chambers Biographical Dictionary, Dow Jones, the Catalogue of Life, CrunchBase, Best Buy, and the FAA to answer queries. WolframAlpha was released on and is based on Wolfram's earlier product Wolfram Mathematica, a technical computing platform. It answers factual queries by computing answers from externally sourced data. r əm-/ WUULf-rəm-) is an answer engine developed by Wolfram Research. Wolfram Language & System Documentation Center.May 18, 2009 13 years ago ( ) (official launch) 'Degree.' Wolfram Language & System Documentation Center. Wolfram Research (1988), Degree, Wolfram Language function, (updated 2002). This slightly unfortunate dual nature of degrees has its roots in the treatment of angular measure by the SI system of units, which treats radians as a dimensionless measure whose explicit specification is optional.Ĭite this as: Wolfram Research (1988), Degree, Wolfram Language function, (updated 2002). Some care is therefore needed in distinguishing the mathematical constant Degree (which relates degrees to radians) and the unit of angular measure itself. Note that the Wolfram Language unit framework represents the angular degree as Quantity for the purposes of unit encoding and conversion.RealDigits can be used to return a list of digits of Degree and ContinuedFraction to obtain terms of its continued fraction expansion. In fact, calculating the first million decimal digits of Degree takes only a fraction of a second on a modern desktop computer due to the rapid convergence of the Chudnovsky formula for Pi. Degree can be evaluated to arbitrary numerical precision using N.While (like Pi) it is not known if Degree is normal (meaning the digits in its base- expansion are equally distributed) to any base, its known digits are very uniformly distributed.

As a result of its close relationship with Pi, Degree is known to be both irrational and transcendental, meaning it can be expressed neither as a ratio of integers nor as the root of any integer polynomial.Cos ) may require use of functions such as FunctionExpand and FullSimplify. Cos ) are automatically expanded in terms of simpler functions, expansion and simplification of more complicated expressions involving Degree (e.g.

While many expressions involving Degree (e.g.

When Degree is used as a symbol, it is propagated as an exact quantity that can be expressed in terms of Pi using FunctionExpand.

While most angle-related functions in the Wolfram Language take radian measures as their arguments and return radian measures as results, the symbol Degree can be used as a multiplier when entering values in degree measures (e.g. The use of Degree is especially common in calculations involving plane geometry and trigonometry. Degree has exact value and numerical value.

Degree is the symbol representing the number of radians in one angular degree (1 °), which can also be input into the Wolfram Language as ∖.

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