Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
Álgebra - translation to English
![Ars magna]]''.](https://commons.wikimedia.org/wiki/Special:FilePath/Gerolamo Cardano (colour).jpg?width=200 "Ars magna]]''.")
![al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala]]''](https://commons.wikimedia.org/wiki/Special:FilePath/Image-Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala.jpg?width=200 "al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala]]''")
![[[Linear algebra]] lecture at the [[Aalto University]]](https://commons.wikimedia.org/wiki/Special:FilePath/Mathematics lecture at the Helsinki University of Technology.jpg?width=200 "[[Linear algebra]] lecture at the [[Aalto University]]")
Definition
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Wikipedia
Algebra (from Arabic الجبر (al-jabr) 'reunion of broken parts, bonesetting') is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics.
Elementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields. Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, some having "algebra" in their name, such as commutative algebra, and some not, such as Galois theory.
The word algebra is not only used for naming an area of mathematics and some subareas; it is also used for naming some sorts of algebraic structures, such as an algebra over a field, commonly called an algebra. Sometimes, the same phrase is used for a subarea and its main algebraic structures; for example, Boolean algebra and a Boolean algebra. A mathematician specialized in algebra is called an algebraist.
