"फलन": अवतरणों में अंतर
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पंक्ति 19:
''X'' से ''Y'' पर फलन ''f'' कार्तीय गुणनफल ''X'' × ''Y'' का [[उपसमुच्चय]] है, बशर्ते निम्नलिखित शर्तों का पालन होता है
: ''X'' का प्रत्येक अवयव उपसमुच्चय के '''एक और केवल एक''' क्रमित युग्म का प्रथम अवयव है<ref>{{cite book |last=Hamilton |first=A. G. |title=Numbers, sets, and axioms: the apparatus of mathematics |page=83 |publisher=Cambridge University Press |isbn=0-521-24509-5 |url=http://books.google.com/books?id=OXfmTHXvRXMC&pg=PA83&dq=%22function+is+a+relation%22 |access-date=28 जून 2014 |archive-url=https://web.archive.org/web/20140328224037/http://books.google.com/books?id=OXfmTHXvRXMC&pg=PA83&dq=%22function+is+a+relation%22 |archive-date=28 मार्च 2014 |url-status=live }}</ref>
दूसरे शब्दों में ''X'' के प्रत्येक अवयव ''x'' के लिये केवल एक अवयव ''y'' ऐसा है कि क्रमित युग्म (''x'', ''y'') फलन ''f'' को पारिभाषित करने वाले उपसमुच्चय का सदस्य है।
पंक्ति 77:
== बाहरी कड़ियाँ ==
* [https://web.archive.org/web/20071010025724/http://functions.wolfram.com/ The Wolfram Functions Site] gives formulae and visualizations of many mathematical functions.
* [https://web.archive.org/web/20070930190736/http://www.shodor.org/interactivate/activities/FunctionFlyer/ Shodor: Function Flyer], interactive Java applet for graphing and exploring functions.
* [https://web.archive.org/web/20071010084601/http://math.hws.edu/xFunctions/ xFunctions], a Java applet for exploring functions graphically.
* [https://web.archive.org/web/20071011001503/http://rechneronline.de/function-graphs/ Draw Function Graphs], online drawing program for mathematical functions.
* [https://web.archive.org/web/20071108075421/http://www.cut-the-knot.org/do_you_know/FunctionMain.shtml Functions] from [[cut-the-knot]].
* [
* [https://web.archive.org/web/20190502025947/http://curvas21.blogspot.com/ Curvas].
{{फलन}}
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