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| − | | + | <center>''See also [[Talk:Pi#Pi_contains_pi|Pi contains pi]]''.</center> |
| | '''Pi''', or '''[[Archimedes]]' constant''', is the most important number in all of [[mathematics]] and engineering. It is defined as the [[ratio]] of the [[circumference]] of a [[circle]] to its [[diameter]], and represented by the Greek letter '''<big><math>\pi</math></big>'''. It was first used with its current meaning in 1706 by a [[Welsh]] mathematician, William Jones,<ref name="hist">{{cite web | | '''Pi''', or '''[[Archimedes]]' constant''', is the most important number in all of [[mathematics]] and engineering. It is defined as the [[ratio]] of the [[circumference]] of a [[circle]] to its [[diameter]], and represented by the Greek letter '''<big><math>\pi</math></big>'''. It was first used with its current meaning in 1706 by a [[Welsh]] mathematician, William Jones,<ref name="hist">{{cite web |
| | | url = http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Pi_through_the_ages.html | | | url = http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Pi_through_the_ages.html |
| | | title = A history or Pi | | | title = A history or Pi |
| − | | accessdate = 2012-02-11}}</ref> who selected '''<big><math>\pi</math></big>''' because it is the first letter of the [[Greek]] word for [[perimeter]] (''περίμετρος''), i.e. the circumference of a circle is its perimeter. A [[Swiss]] mathematician, [[Leonhard Euler]], then popularized the notation in 1737 as he did for other symbols.<ref>https://www.historytoday.com/archive/feature/man-who-invented-pi</ref> The [[infinite]] length of ostensibly [[random]] decimal points in <math>\pi</math> lead to the assumption that pi is a [[normal number]]: it contains every possible finite sequence of digits, and therefore, every birthday, even the equivalent of every book ever written. <!--SimplySee also [[Talk:Pi#Pi_contains_pi|Pi contains pi]]''.</center>--> stated, '''''pi contains pi'''''.--> | + | | accessdate = 2012-02-11}}</ref> who selected '''<big><math>\pi</math></big>''' because it is the first letter of the [[Greek]] word for [[perimeter]] (''περίμετρος''), i.e. the circumference of a circle is its perimeter. A [[Swiss]] mathematician, [[Leonhard Euler]], then popularized the notation in 1737 as he did for other symbols.<ref>https://www.historytoday.com/archive/feature/man-who-invented-pi</ref> The [[infinite]] length of ostensibly [[random]] decimal points in <math>\pi</math> lead to the assumption that pi is a [[normal number]]: it contains every possible finite sequence of digits, and therefore, every birthday, even the equivalent of every book ever written. Simply stated, '''''pi contains pi'''''. |
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| | <big><math>\pi</math></big> is referenced in the [[Bible]], literature, and even as the title of a movie. It is central to the most famous identity in all of mathematics: [[Euler's Formula|Euler's Identity]]. | | <big><math>\pi</math></big> is referenced in the [[Bible]], literature, and even as the title of a movie. It is central to the most famous identity in all of mathematics: [[Euler's Formula|Euler's Identity]]. |
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| | *[[Pi Day]] | | *[[Pi Day]] |
| | *[http://yacas.sourceforge.net/Algochapter5.html#c5s5 Calculation of pi with computers] | | *[http://yacas.sourceforge.net/Algochapter5.html#c5s5 Calculation of pi with computers] |
| − | *[[Talk:Pi#Pi_contains_pi|Pi contains pi]]
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| | [[Category:Mathematics]] | | [[Category:Mathematics]] |