Computable number
In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. They are also known as the recursive numbers, effective numbers (vanDerHoeven) or the computable reals or recursive reals. Equivalent definitions can be given using μ-recursive functions, Turing machines, or λ-calculus as the formal representation of algorithms. The computable numbers form a real closed field and can be used in the place of real numbers for many, but not all, mathematical purposes.
Aleph numberAlgebraic numberAndrzej_GrzegorczykArbitrary-precision arithmeticArithmetical setBeth numberChaitin's constantChurch–Turing thesisChurch–Turing–Deutsch principleComputable analysisComputable functionComputable numbersComputable realComputable real functionComputable real numberComputable realsComputation in the limitConstructible numberConstructivism (philosophy of mathematics)Definable real numberFloating-point arithmeticFrom Here to Infinity (book)Halting problemHypercomputationIrrational numberList of arbitrary-precision arithmetic softwareList of computability and complexity topicsList of mathematical constantsList of probabilistic proofs of non-probabilistic theoremsList of types of numbersMarcia GroszekMathematical constantNon-computable numberNon-computable numbersNoncomputable numberNormal numberOrdered fieldPeriod (algebraic geometry)Philosophy of mathematicsReal closed field
Link from a Wikipage to another Wikipage
primaryTopic
Computable number
In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. They are also known as the recursive numbers, effective numbers (vanDerHoeven) or the computable reals or recursive reals. Equivalent definitions can be given using μ-recursive functions, Turing machines, or λ-calculus as the formal representation of algorithms. The computable numbers form a real closed field and can be used in the place of real numbers for many, but not all, mathematical purposes.
has abstract
En informatique et algorithmiq ...... airé ou des suites de Specker.
@fr
En matemàtiques i especialment ...... de Turing o el càlcul lambda.
@ca
En matemáticas, especialmente ...... áquinas de Turing o cálculo-λ.
@es
In mathematics, computable num ...... ot all, mathematical purposes.
@en
Inom matematik och beräkningst ...... bart tal är Chaitins konstant.
@sv
Na matemática, particularmente ...... não todos, fins de matemática.
@pt
В математике вычислимое (или р ...... множестве рациональных чисел.
@ru
في الرياضيات ، الأعداد القابلة ...... ية للعديد من الأغراض الرياضية.
@ar
可計算數（英語：computable numbers），是数 ...... 示法而得。可計算數形成實閉域，可以在許多數學應用上取代实数。
@zh
계산 가능한 수(computable number) 또는 ...... 적인 용도로 실수체를 거의 어느 정도 대체할 수 있다.
@ko
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,013,075,370
Link from a Wikipage to another Wikipage
date
September 2020
@en
reason
Parenthetical referencing has been deprecated; convert to shortened footnotes.
@en
wikiPageUsesTemplate
hypernym
type
comment
En informatique et algorithmiq ...... ut, avec une précision connue.
@fr
En matemàtiques i especialment ...... de Turing o el càlcul lambda.
@ca
En matemáticas, especialmente ...... áquinas de Turing o cálculo-λ.
@es
In mathematics, computable num ...... ot all, mathematical purposes.
@en
Inom matematik och beräkningst ...... bart tal är Chaitins konstant.
@sv
Na matemática, particularmente ...... não todos, fins de matemática.
@pt
В математике вычислимое (или р ...... вычислимых чисел) плотно в и в
@ru
في الرياضيات ، الأعداد القابلة ...... ية للعديد من الأغراض الرياضية.
@ar
可計算數（英語：computable numbers），是数 ...... 示法而得。可計算數形成實閉域，可以在許多數學應用上取代实数。
@zh
계산 가능한 수(computable number) 또는 ...... 적인 용도로 실수체를 거의 어느 정도 대체할 수 있다.
@ko
label
Berechenbare Zahl
@de
Beräkningsbart tal
@sv
Computable number
@en
Nombre computable
@ca
Nombre réel calculable
@fr
Número computable
@es
Número computável
@pt
Вычислимое число
@ru
أعداد قابلة للحساب
@ar
可計算數
@zh