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Revisi per 27 September 2019 05.52 sunting Glorious Engine (bicara \| kontrib) 272.842 suntingan ←Membuat halaman berisi '{{thumb\|width=220 \|content=<math>a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \cfrac{1}{ \ddots + \cfrac{1}{a_n} }}}</math> }} Dalam matematika, '''pecahan berlanjut'''...'		Revisi terkini sejak 30 Desember 2021 05.19 sunting balikkan Dedhert.Jr (bicara \| kontrib) 16.376 suntingan memperbaiki istilah matematika Tag: VisualEditor
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Baris 1: {\|class="wikitable" bgcolor="#ffffff" cellpadding="5" align="right" style="margin-left:50px" width="120" !bgcolor=#e7dcc3 colspan=2\|''Artikel ini dalam proses pengembangan atau penambahan'' \|} {{thumb\|width=220 \|content=<math>a_0 + \cfrac{1}{a_1 + \cfrac{1}{a_2 + \cfrac{1}{ \ddots + \cfrac{1}{a_n} }}}</math> }} Dalam [[matematika]], '''pecahan berlanjut''' atau '''pecahan kontinu''' ({{Lang-en\|Continued fraction}}) adalah sebuah [[ekspresi (matematika)\|ekspresi]] yang didapat melalui proses [[iteratif]] mewakili bilangan sebagai jawaban dari [[bagian ~~integer~~bilangan bulat]]<nowiki/>nya.<ref>{{cite web\|url=http://www.britannica.com/EBchecked/topic/135043/continued-fraction\|title=Continued fraction - mathematics\|publisher=}}</ref> ~~Integer~~Bilangan bulat <math>a_i</math> disebut [[koefisien]] dari pecahan berlanjut.<ref name="Pettofrezzo 1970 150">{{harvtxt\|Pettofrezzo\|Byrkit\|1970\|p=150}}</ref> == Catatan == {{Reflist}} == Referensi == * {{cite news\|first1=H. \| last1=Siebeck \| year=1846 \| title= Ueber periodische Kettenbrüche \|journal= J. Reine Angew. Math. \| volume=33 \| pages=68–70 \| url=http://www.digizeitschriften.de/dms/resolveppn/?PID=PPN243919689_0033}} Baris 20 ⟶ 23: * {{cite news\|first1=William B. \| last1=Gragg \| title=Matrix interpretations and applications of the continued fraction algorithm \|journal= Rocky Mount. J. Math. \| volume=4 \| number=2 \| doi=10.1216/RJM-1974-4-2-213 \| page=213 \|year=1974}} * {{Cite book \| last = Jones \| first = William B. \| last2 = Thron \| first2 = W. J. \| title = Continued Fractions: Analytic Theory and Applications. Encyclopedia of Mathematics and its Applications. \| place= \| publisher = Addison-Wesley Publishing Company \| year = 1980 \| location = Reading. Massachusetts \| volume = 11 \| edition = \| isbn = 0-201-13510-8}} * {{cite book \|title = Continued Fractions \|url = https://archive.org/details/continuedfractio00khin_0 \| year = 1964 \| last1 = Khinchin \| first1 = A. Ya. \| authorlink = Aleksandr Khinchin \| origyear = Originally published in Russian, 1935 \| publisher = [[University of Chicago Press]] \| ISBN= 0-486-69630-8 }} * {{citation \| first1 = Calvin T. \| last1 = Long \| year = 1972 \| title = Elementary Introduction to Number Theory \| edition = 2nd \| publisher = [[D. C. Heath and Company]] \| location = Lexington \| lccn = 77-171950 }} * {{cite book \| first=Oskar \| last= Perron \| authorlink=Oskar Perron \| title =Die Lehre von den Kettenbrüchen \| publisher=Chelsea Publishing Company \| place=New York, NY \| year= 1950}} * {{citation \| first1 = Anthony J. \| last1 = Pettofrezzo \| first2 = Donald R. \| last2 = Byrkit \| year = 1970 \| title = Elements of Number Theory \| publisher = [[Prentice Hall]] \| location = Englewood Cliffs \| lccn = 77-81766 }} * {{cite book \| title = Continued Fractions \| url = https://archive.org/details/continuedfractio0000rock \| last1 = Rockett \| first1 = Andrew M. \| last2 = Szüsz \| first2 = Peter\| year = 1992 \| publisher = World Scientific Press \| ISBN = 981-02-1047-7 }} * H. S. Wall, ''Analytic Theory of Continued Fractions'', D. Van Nostrand Company, Inc., 1948 {{isbn\|0-8284-0207-8}} * {{cite book\|first1=A. \|last1= Cuyt \|first2= V. \| last2= Brevik Petersen \|first3= B. \|last3= Verdonk \|first4= H. \|last4= Waadeland \|first5 = W. B. \|last5=Jones \|title =Handbook of Continued fractions for Special functions \|publisher= Springer Verlag \|year=2008 \|isbn=978-1-4020-6948-2}} Baris 33 ⟶ 36: \|journal= Abh. Braunschweig.Wiss. Ges. \| volume= 33 \|year=1982 \|pages=205–217}} == Pranala luar == * {{springer\|title=Continued fraction\|id=p/c025540}} * [http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html An Introduction to the Continued Fraction] Baris 51 ⟶ 54: {{Authority control}} [[~~Category~~Kategori:~~analisis~~Analisis matematika]]