Pi - Revision history

Aschlafly: Pi contains pi, beginning an infinite number of digits into it (which avoids the periodicity problem).

2021-09-03T01:05:10Z

Pi contains pi, beginning an infinite number of digits into it (which avoids the periodicity problem).

Aschlafly at 02:38, August 5, 2021

2021-08-05T02:38:48Z

Aschlafly: better link

2021-08-05T02:38:17Z

better link

Aschlafly: move link away from top as requested

2021-08-03T15:09:39Z

move link away from top as requested

Aschlafly: reverting suppression of information - infinity denial is not appropriate here. Neither is eternity denial.

2021-08-02T20:49:44Z

reverting suppression of information - infinity denial is not appropriate here. Neither is eternity denial.

AugustO: "see alsos" put in one place....

2021-08-02T20:19:57Z

"see alsos" put in one place....

AugustO:

2021-08-02T20:17:28Z

Aschlafly: Simply stated, pi contains pi

2021-08-01T20:33:06Z

Simply stated, pi contains pi

Aschlafly: See also Pi contains pi

2021-07-31T18:28:07Z

Aschlafly at 03:56, July 25, 2021

2021-07-25T03:56:17Z

@@ Line 2: / Line 2: @@
 | url = http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Pi_through_the_ages.html
 | 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.  Simply stated, '''''[[Essay:pi contains pi|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]] (which is demonstrated by computer calculations of <math>\pi</math> to trillions of digits): it contains every possible finite sequence of digits, and therefore, every birthday, even the equivalent of every book ever written.  Simply stated, '''''[[Essay:pi contains pi|Pi contains pi]]''''', beginning an infinite number of digits into it (which avoids the periodicity problem).
 <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]].

@@ Line 2: / Line 2: @@
 | url = http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Pi_through_the_ages.html
 | 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.  Simply stated, '''''[[Essay:pi contains pi|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, '''''[[Essay:pi contains pi|Pi contains pi]]'''''.
 <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]].

@@ Line 2: / Line 2: @@
 | url = http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Pi_through_the_ages.html
 | 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.  Simply stated, '''''[[Talk:Pi#Pi_contains_pi|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, '''''[[Essay:pi contains pi|Pi contains pi]]'''''.
 <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]].

@@ Line 1: / Line 1: @@
 '''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
 | 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.  Simply 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, '''''[[Talk:Pi#Pi_contains_pi|Pi contains pi]]'''''.
 <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]].

@@ Line 1: / Line 1: @@
+<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
 | url = http://www-groups.dcs.st-and.ac.uk/history/HistTopics/Pi_through_the_ages.html
 | 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'''''.
 <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]].
@@ Line 115: / Line 115: @@
 *[[Pi Day]]
 *[http://yacas.sourceforge.net/Algochapter5.html#c5s5  Calculation of pi with computers]
-*[[Talk:Pi#Pi_contains_pi|Pi contains pi]]
 [[Category:Mathematics]]

← Older revision		Revision as of 18:28, July 31, 2021
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		+	<center>''See also [[Talk:Pi#Pi_contains_pi\|Pi contains pi]]''.</center>
	'''Pi''', or '''[[Archimedes]]' constant''', is perhaps 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 perhaps 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