"वितत भिन्न": अवतरणों में अंतर

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पंक्ति 20:
प्राचीन काल से ही वितत भिन्नों का उपयोग किया जा रहा है।
 
[[आर्यभट]] ने प्रथम डिग्री तथा द्वितीय डिग्री वाले कुछ [[अनिर्धार्य समीकरण|अनिर्धार्य समीकरणों]] के हल वितत भिन्न के रूप में ही दिये हैं। उसके बाद [[नारायण पण्डित (गणितज्ञ)|नारायण पण्डित]] (१३५० ई) ने अपने गणित ग्रन्थ [[गणितकौमुदी]] में '''N x<sub>2</sub> + K<sub>2</sub> = y<sub>2</sub>''' प्रकार के अनिर्धार्य समीकरणों का हल आवर्ती वितत भिन्न की सहायता से निकाला है। उनकी [[कलनविधि]] (अल्गोरिद्म) नीचे के श्लोक में दिया गया है-<ref>[https://www.math10.com/en/maths-history/math-history-in-india/ganita.html Ganita Kaumudi and the Continued Fraction] {{Webarchive|url=https://web.archive.org/web/20160819224912/https://www.math10.com/en/maths-history/math-history-in-india/ganita.html |date=19 अगस्त 2016 }} (Pradip Kumar Majumdar) </ref>
 
:'' hrasvajyesthaksepan kramasastesamadho nyaset tanstu
पंक्ति 41:
 
== बाहरी कड़ियाँ ==
* Linas Vepstas [httphttps://wwwweb.archive.org/web/20090601123506/http://linas.org/math/chap-gap/chap-gap.html Continued Fractions and Gaps] (2004) reviews chaotic structures in continued fractions.
* [https://web.archive.org/web/20100125145649/http://www.cut-the-knot.org/blue/ContinuedFractions.shtml Continued Fractions on the Stern-Brocot Tree] at [[cut-the-knot]]
* François Balsalobre [https://web.archive.org/web/20060107102309/http://fbalsalo.club.fr/cfc.html cfc - a (cli) continued fraction calculator] for POSIX and Cygwin
* [https://web.archive.org/web/20090504105639/http://www.math.sunysb.edu/~tony/whatsnew/column/antikytheraI-0400/kyth3.html The Antikythera Mechanism I: Gear ratios and continued fractions]
* [httphttps://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Continued Fraction Arithmetic] Gosper's first continued fractions paper, unpublished.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]]
* {{MathWorld |title=Continued Fraction |urlname=ContinuedFraction}}
* [https://web.archive.org/web/20090207201833/http://demonstrations.wolfram.com/ContinuedFractions/ Continued Fractions] by [[Stephen Wolfram]] and [https://web.archive.org/web/20090416163431/http://demonstrations.wolfram.com/ContinuedFractionApproximationsOfTheTangentFunction/ Continued Fraction Approximations of the Tangent Function] by Michael Trott, [[Wolfram Demonstrations Project]].
 
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