Pecahan berlanjut: Perbedaan antara revisi
Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 27966467; atribusi sumber disertakan. |
Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi |
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Dalam [[matematika]], '''pecahan berlanjut''' atau '''pecahan kontinu''' () adalah sebuah [[ekspresi (matematika)|ekspresi]] yang didapat melalui proses [[iteratif]] mewakili bilangan sebagai jawaban dari [[bagian bilangan bulat]]<nowiki/>nya. Bilangan bulat <math>a_i</math> disebut [[koefisien]] dari pecahan berlanjut. | Dalam [[matematika]], '''pecahan berlanjut''' atau '''pecahan kontinu''' () adalah sebuah [[ekspresi (matematika)|ekspresi]] yang didapat melalui proses [[iteratif]] mewakili bilangan sebagai jawaban dari [[bagian bilangan bulat]]<nowiki/>nya.<ref>[http://www.britannica.com/EBchecked/topic/135043/continued-fraction Continued fraction - mathematics].</ref> Bilangan bulat <math>a_i</math> disebut [[koefisien]] dari pecahan berlanjut.<ref>[https://id.wikipedia.org/w/index.php?title=Pecahan+berlanjut&oldid=27966467 sumber pada Wikipedia bahasa Indonesia]</ref> | ||
== Catatan == | == Catatan == | ||
== Pranala luar == | == Pranala luar == | ||
* | * | ||
* [http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html An Introduction to the Continued Fraction] | * [http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html An Introduction to the Continued Fraction] | ||
* Linas Vepstas [http://www.linas.org/math/chap-gap/chap-gap.html Continued Fractions and Gaps] (2004) reviews chaotic structures in continued fractions. | * Linas Vepstas [http://www.linas.org/math/chap-gap/chap-gap.html Continued Fractions and Gaps] (2004) reviews chaotic structures in continued fractions. | ||
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* [http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html Continued fraction calculator], WIMS. | * [http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html Continued fraction calculator], WIMS. | ||
* [https://web.archive.org/web/20030202011209/http://www.tweedledum.com/rwg/cfup.htm Continued Fraction Arithmetic] Gosper's first continued fractions paper, unpublished. Cached on the [[Internet Archive]]'s [[Internet Archive#Wayback Machine|Wayback Machine]] | * [https://web.archive.org/web/20030202011209/http://www.tweedledum.com/rwg/cfup.htm Continued Fraction Arithmetic] Gosper's first continued fractions paper, unpublished. Cached on the [[Internet Archive]]'s [[Internet Archive#Wayback Machine|Wayback Machine]] | ||
* | * | ||
* [http://demonstrations.wolfram.com/ContinuedFractions/ Continued Fractions] by [[Stephen Wolfram]] and [http://demonstrations.wolfram.com/ContinuedFractionApproximationsOfTheTangentFunction/ Continued Fraction Approximations of the Tangent Function] by Michael Trott, [[Wolfram Demonstrations Project]]. | * [http://demonstrations.wolfram.com/ContinuedFractions/ Continued Fractions] by [[Stephen Wolfram]] and [http://demonstrations.wolfram.com/ContinuedFractionApproximationsOfTheTangentFunction/ Continued Fraction Approximations of the Tangent Function] by Michael Trott, [[Wolfram Demonstrations Project]]. | ||
* | * | ||
* [http://go.helms-net.de/math/tetdocs/FracIterAltGeom.htm A view into "fractional interpolation" of a continued fraction } ] | * [http://go.helms-net.de/math/tetdocs/FracIterAltGeom.htm A view into "fractional interpolation" of a continued fraction } ] | ||
* [http://www.ams.org/publicoutreach/feature-column/fcarc-irrational3 Best rational approximation through continued fractions] | * [http://www.ams.org/publicoutreach/feature-column/fcarc-irrational3 Best rational approximation through continued fractions] | ||
== Referensi == | |||
<references /> | |||
== Sumber dan atribusi == | == Sumber dan atribusi == | ||
Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Pecahan+berlanjut&oldid=27966467 Wikipedia bahasa Indonesia], revisi 27966467 (2025-10-14T15:00:41Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku. | Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Pecahan+berlanjut&oldid=27966467 Wikipedia bahasa Indonesia], revisi 27966467 (2025-10-14T15:00:41Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku. | ||
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Revisi terkini sejak 25 Agustus 2026 04.03
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Dalam matematika, pecahan berlanjut atau pecahan kontinu () adalah sebuah ekspresi yang didapat melalui proses iteratif mewakili bilangan sebagai jawaban dari bagian bilangan bulatnya.[1] Bilangan bulat disebut koefisien dari pecahan berlanjut.[2]
Catatan
Pranala luar
- An Introduction to the Continued Fraction
- Linas Vepstas Continued Fractions and Gaps (2004) reviews chaotic structures in continued fractions.
- Continued Fractions on the Stern-Brocot Tree at cut-the-knot
- The Antikythera Mechanism I: Gear ratios and continued fractions
- Continued fraction calculator, WIMS.
- Continued Fraction Arithmetic Gosper's first continued fractions paper, unpublished. Cached on the Internet Archive's Wayback Machine
- Continued Fractions by Stephen Wolfram and Continued Fraction Approximations of the Tangent Function by Michael Trott, Wolfram Demonstrations Project.
- A view into "fractional interpolation" of a continued fraction }
- Best rational approximation through continued fractions
Referensi
Sumber dan atribusi
Konten artikel ini diadaptasi dari Wikipedia bahasa Indonesia, revisi 27966467 (2025-10-14T15:00:41Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.