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- Numerical_tower abstract "In Scheme and some other Lisp dialects, a numerical tower is the set of data types that represent numbers in a given programming language.Each type in the tower conceptually "sits on" a more fundamental type, so an integer is a rational number and a number, but the inverse is not necessarily true, i.e. not every number is an integer; this asymmetry implies that a language can allow implicit coercions of numerical types—without creating semantic problems—in only one direction: coercing an integer to a rational loses no information and does not affect the results of a function, but to coerce most reals to an integer could well result in a problem (for example, the real 1/3 does not equal any integer).The Scheme programming language defines all its arithmetic within this model, as do other Lisp dialects. Some implementations may extend or adapt the tower. Kawa, for example, extends it with a Quantity type that is even more generic than Number. Smalltalk is another programming language that follows this model, but it has a Magnitude as superclass of Number. Another popular variant is having both exact and inexact versions of the tower or parts of it. Most languages and language implementations do not support a Scheme-like numerical tower. Some languages support it only in a limited way.".
- Numerical_tower wikiPageID "711485".
- Numerical_tower wikiPageLength "1684".
- Numerical_tower wikiPageOutDegree "12".
- Numerical_tower wikiPageRevisionID "663708813".
- Numerical_tower wikiPageWikiLink Category:Data_types.
- Numerical_tower wikiPageWikiLink Data_type.
- Numerical_tower wikiPageWikiLink Data_types.
- Numerical_tower wikiPageWikiLink Exact_inexact_arithmetic.
- Numerical_tower wikiPageWikiLink Integer.
- Numerical_tower wikiPageWikiLink Kawa_(Scheme_implementation).
- Numerical_tower wikiPageWikiLink Number.
- Numerical_tower wikiPageWikiLink Programming_language.
- Numerical_tower wikiPageWikiLink Rational_number.
- Numerical_tower wikiPageWikiLink Scheme_(programming_language).
- Numerical_tower wikiPageWikiLink Smalltalk.
- Numerical_tower wikiPageWikiLink Type_conversion.
- Numerical_tower wikiPageWikiLinkText "Numerical tower".
- Numerical_tower wikiPageWikiLinkText "numerical tower".
- Numerical_tower hasPhotoCollection Numerical_tower.
- Numerical_tower wikiPageUsesTemplate Template:Compu-prog-stub.
- Numerical_tower subject Category:Data_types.
- Numerical_tower hypernym Set.
- Numerical_tower type Type.
- Numerical_tower type Structure.
- Numerical_tower type Type.
- Numerical_tower comment "In Scheme and some other Lisp dialects, a numerical tower is the set of data types that represent numbers in a given programming language.Each type in the tower conceptually "sits on" a more fundamental type, so an integer is a rational number and a number, but the inverse is not necessarily true, i.e.".
- Numerical_tower label "Numerical tower".
- Numerical_tower sameAs m.034wh6.
- Numerical_tower sameAs Q7069668.
- Numerical_tower sameAs Q7069668.
- Numerical_tower wasDerivedFrom Numerical_tower?oldid=663708813.
- Numerical_tower isPrimaryTopicOf Numerical_tower.