Translation and analysis of words by ChatGPT artificial intelligence
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numeric field - translation to English
![genus]] two (two handles). The genus can be read off the field of meromorphic functions on the surface.](https://commons.wikimedia.org/wiki/Special:FilePath/Double torus illustration.png?width=200 "genus]] two (two handles). The genus can be read off the field of meromorphic functions on the surface.")
![The fifth roots of unity form a [[regular pentagon]].](https://commons.wikimedia.org/wiki/Special:FilePath/One5Root.svg?width=200 "The fifth roots of unity form a [[regular pentagon]].")
математика
алгебраическое поле
математика
топологическое поле
Definition
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Wikipedia
In Scheme and in Lisp dialects inspired by it, the numerical tower is a set of data types that represent numbers and a logic for their hierarchical organisation.
Each type in the tower conceptually "sits on" a more fundamental type, so an integer is a rational number and a number, but the converse is not necessarily true, i.e. not every number is an integer. This asymmetry implies that a language can safely allow implicit coercions of numerical types—without creating semantic problems—in only one direction: coercing an integer to a rational loses no information and will never influence the value returned by a function, but to coerce most reals to an integer would alter any relevant computation (e.g., the real 1/3 does not equal any integer) and is thus impermissible.
