Pi - Versionsgeschichte

Wiki: /* Today is 14/3 or 3/14 */ Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14. π is the ratio used to calculat

2026-02-26T19:24:47Z

Today is 14/3 or 3/14: Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14. π is the ratio used to calculat

← Nächstältere Version		Version vom 26. Februar 2026, 19:24 Uhr
Zeile 138:		Zeile 138:


-	==~~Today~~ is ~~14/3 or~~ 3/14 ==	+	==Pi-day is 3/14 ==
-		+
-	~~in the month/day format~~==	+

	Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.		Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.
	π is the ratio used to calculate the circumference of a circle, which is slightly larger than three times the value of the diameter.		π is the ratio used to calculate the circumference of a circle, which is slightly larger than three times the value of the diameter.
		+
	Pi Day has been observed in many ways, including eating pies, due to the words “pi” and “pie” being homophones in English, and the coincidental circular shape of many pies.		Pi Day has been observed in many ways, including eating pies, due to the words “pi” and “pie” being homophones in English, and the coincidental circular shape of many pies.
-	So... there's your excuse to get yourself a slice of pie today. 🥧	+	So... there's your excuse to get yourself a slice of pie today.
		+
	https://w.wiki/Js2		https://w.wiki/Js2

Zeile 153:		Zeile 153:
	...		...

		+	1
		+
		+	2,78
		+
		+	3,14
		+
		+	...

	==Pi (π) has been known for almost 4000 years, ==		==Pi (π) has been known for almost 4000 years, ==

Wiki: /* ORIGINS OF " PI " */ The digits of pi begin with 3.1415926535... and continue infinitely because pi is an irrational number. While approximations like 3.14 or 22/7 are used for everyday calculation

2025-11-02T18:12:15Z

ORIGINS OF " PI ": The digits of pi begin with 3.1415926535... and continue infinitely because pi is an irrational number. While approximations like 3.14 or 22/7 are used for everyday calculation

← Nächstältere Version		Version vom 2. November 2025, 18:12 Uhr
Zeile 188:		Zeile 188:

	220824 via fb		220824 via fb
		+
		+
		+	==The digits of pi begin with 3.1415926535... ==
		+
		+	and continue infinitely because pi is an irrational number. While approximations like 3.14 or 22/7 are used for everyday calculations, mathematicians have calculated pi to trillions of decimal places. For highly accurate applications like calculating the circumference of the universe, only about 38 digits are needed.
		+
		+	1. The first few digits: The most well-known digits of pi are 3.1415926535.... Infinite and
		+
		+	2. non-repeating: Because pi is an irrational number, its decimal representation goes on forever without a repeating pattern.
		+
		+	3. Calculation records: The current record for the number of calculated digits is over 100 trillion, a number that took billions of dollars to compute and can be seen on the Wikipedia page for Pi.
		+
		+	4.Practical use: For most practical purposes, a few decimal places are sufficient. For example, \(3.14\) is often adequate for general use, while NASA uses about 15 decimal places for interplanetary travel.
		+
		+	5. Calculating to a high degree: To calculate the circumference of the observable universe with atomic-level accuracy, you would only need about 38 decimal places of pi.
		+
		+	021125 via fb
		+
		+	...

Wiki: ORIGINS OF " PI " Throughout history, there have been many mathematicians of different civilizations who have tried to establish the value of "pi", some with more fortune than others. The earliest ref

2024-08-22T11:17:39Z

ORIGINS OF " PI " Throughout history, there have been many mathematicians of different civilizations who have tried to establish the value of "pi", some with more fortune than others. The earliest ref

← Nächstältere Version		Version vom 22. August 2024, 11:17 Uhr
Zeile 138:		Zeile 138:


-	==Today is 14/3 (or 3/14 in the month/day format)==	+	==Today is 14/3 or 3/14 ==
		+
		+	in the month/day format==

	Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.		Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.
Zeile 151:		Zeile 153:
	...		...

-	Pi (π) has been known for almost 4000 years, but even if we calculated number of seconds in those 4000 years and calculated π to that number of places, we would still only be approximating its actual value.	+
		+	==Pi (π) has been known for almost 4000 years, ==
		+	but even if we calculated number of seconds in those 4000 years and calculated π to that number of places, we would still only be approximating its actual value.
	Ancient Babylonians calculated area of a circle by taking 3 times square of its radius, which gave a value of pi = 3. One Babylonian tablet (1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.		Ancient Babylonians calculated area of a circle by taking 3 times square of its radius, which gave a value of pi = 3. One Babylonian tablet (1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.
	Rhind Papyrus (1650 BC) gives us insight into mathematics of ancient Egypt. Egyptians calculated area of a circle by a formula that gave the approximate value of 3.1605 for π.		Rhind Papyrus (1650 BC) gives us insight into mathematics of ancient Egypt. Egyptians calculated area of a circle by a formula that gave the approximate value of 3.1605 for π.
Zeile 158:		Zeile 162:

	310324 via fb		310324 via fb
		+
		+	...
		+
		+
		+	==ORIGINS OF " PI "==
		+
		+
		+	Throughout history, there have been many mathematicians of different civilizations who have tried to establish the value of "pi", some with more fortune than others.
		+	The earliest references we have a record of date back almost 2000 years BC.
		+	A clay table from ancient Babylon, between 1900 and 1600 BC. C . , grants "pi" a value of 3,125 .
		+	And the Egyptian papyrus of Ahmes, a mathematical document of great historical importance (which is preserved in the British Museum in London), sets it at 3.16: this papyrus is from 1,650 a. C. , but it was copied at the time from an even older document, from 1,850 BC. C.
		+	In fact, there are Egyptologists who even believe that the Great Pyramid of Giza was built centuries earlier using the proportions of "pi", although other experts in Ancient Egypt do not share that opinion.
		+	Sumerians, Chinese and Indians, among others, also made their versions of depiction of "pi", and even the Bible gave it a value of 3 in one of the Old Testament passages.
		+	However, it was the Greek mathematician Archimedes who carried out the advancement of creating the first known algorithm to decipher "pi· in 250 a. C.
		+	Archimedes used polygons to prove that "pi" had a minimum value of 3 10/71 and a maximum value of 3 1/7, and his discovery was the main exponent of "pi" for the next thousand years.
		+	Centuries later, Chinese mathematician Zu Chongzhi was the first to discover the first 7 decimals of "pi", setting the number at 3.1415926 in 480 d. C.
		+	A millennium later, in 1,400, Indian mathematician Madhava of Sangamagram surpassed this feat by deciphering 10 decimals, developing the power series currently known as the Leibniz series.
		+	Pi in the modern age
		+	Over the years and centuries later, the advances related to this number did not stop happening, reaching the 100 decimals of the hand of English mathematician and astronomer John Machin in 1,706.
		+	The first to cross the thousand digits were American Levi B. Smith and John Wrench, who reached 1,120 decimals in the year 1,949, already with a calculator.
		+	Modern technology has allowed us to know "pi" in much more depth
		+	The use of computers has revolutionized "pi" research, and the current record is held by Japanese Emma Haruka Iwao, set her first record in 2,019, exceeding 30 billion decimals, but soon it was snatched away with even bigger figures.
		+	He continued to work to improve his results, and on March 21, 2,022, he set the current record of 100 trillion decimals of the number "pi" after 158 days of calculations. (I.S.)
		+	Credits to whom it may concern .
		+
		+	220824 via fb

Wiki: Pi (π) has been known for almost 4000 years, but even if we calculated number of seconds in those 4000 years and calculated π to that number of places, we would still only be approximating its actual

2024-03-31T18:49:51Z

Pi (π) has been known for almost 4000 years, but even if we calculated number of seconds in those 4000 years and calculated π to that number of places, we would still only be approximating its actual

← Nächstältere Version		Version vom 31. März 2024, 18:49 Uhr
Zeile 138:		Zeile 138:


-	==Today is 14/3 (or 3/14 in the month/day format)~~, which means... Happy #PiDay!~~==	+	==Today is 14/3 (or 3/14 in the month/day format)==

	Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.		Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.
Zeile 147:		Zeile 147:

	140323 via fb wiki p		140323 via fb wiki p
		+
		+
		+	...
		+
		+	Pi (π) has been known for almost 4000 years, but even if we calculated number of seconds in those 4000 years and calculated π to that number of places, we would still only be approximating its actual value.
		+	Ancient Babylonians calculated area of a circle by taking 3 times square of its radius, which gave a value of pi = 3. One Babylonian tablet (1900–1680 BC) indicates a value of 3.125 for π, which is a closer approximation.
		+	Rhind Papyrus (1650 BC) gives us insight into mathematics of ancient Egypt. Egyptians calculated area of a circle by a formula that gave the approximate value of 3.1605 for π.
		+	First calculation of π was done by Archimedes of Syracuse (287–212 BC), one of greatest mathematicians of the ancient world. Archimedes approximated area of a circle by using Pythagorean Theorem to find areas of two regular polygons: polygon inscribed within circle and polygon within which circle was circumscribed. Since actual area of circle lies between the areas of inscribed and circumscribed polygons, areas of polygons gave upper and lower bounds for area of circle. Archimedes knew that he had not found value of π but only an approximation within those limits. In this way, Archimedes showed that π is between 3 1/7 and 3 10/71.
		+	A similar approach was used by Zu Chongzhi (429–501 CE), a brilliant Chinese mathematician and astronomer. Zu Chongzhi would not have been familiar with Archimedes’ method, but because his book has been lost, little is known of his work. He calculated value of ratio of circumference of a circle to its diameter to be 355/113. To compute this accuracy for π, he must have started with an inscribed regular 24,576-gon and performed lengthy calculations involving hundreds of square roots carried out to 9 decimal places.
		+
		+	310324 via fb

Wiki: Today is 14/3 (or 3/14 in the month/day format), which means... Happy #PiDay! Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it bein

2023-03-14T17:37:22Z

Today is 14/3 (or 3/14 in the month/day format), which means... Happy #PiDay! Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it bein

← Nächstältere Version		Version vom 14. März 2023, 17:37 Uhr
Zeile 108:		Zeile 108:
	==www.mathebibel.de/pi==		==www.mathebibel.de/pi==
	https://www.mathebibel.de/pi		https://www.mathebibel.de/pi
		+

	==www.w3schools.com/python/ref_math_pi ... 3.14 ==		==www.w3schools.com/python/ref_math_pi ... 3.14 ==
Zeile 135:		Zeile 136:

	230222 via fb		230222 via fb
		+
		+
		+	==Today is 14/3 (or 3/14 in the month/day format), which means... Happy #PiDay!==
		+
		+	Pi Day is an annual celebration of the mathematical constant π (pi), which has an approximate value of 3.14 – thus it being honored on 3/14.
		+	π is the ratio used to calculate the circumference of a circle, which is slightly larger than three times the value of the diameter.
		+	Pi Day has been observed in many ways, including eating pies, due to the words “pi” and “pie” being homophones in English, and the coincidental circular shape of many pies.
		+	So... there's your excuse to get yourself a slice of pie today. 🥧
		+	https://w.wiki/Js2
		+
		+	140323 via fb wiki p

Wiki: /* größte bekannte Primzahl: 2^82.589.933 - 1 */ Der Satz des Euklid ist ein Lehrsatz aus der elementaren Zahlentheorie und besagt, dass es unendlich viele Primzahlen gibt. Benannt ist er nach Eu

2022-03-14T20:04:42Z

größte bekannte Primzahl: 2^82.589.933 - 1: Der Satz des Euklid ist ein Lehrsatz aus der elementaren Zahlentheorie und besagt, dass es unendlich viele Primzahlen gibt. Benannt ist er nach Eu

← Nächstältere Version		Version vom 14. März 2022, 20:04 Uhr
Zeile 75:		Zeile 75:
	221218 via heise.de		221218 via heise.de

		+	s.a.
		+
		+	Der Satz des Euklid ist ein Lehrsatz aus der elementaren Zahlentheorie und besagt, dass es unendlich viele Primzahlen gibt. Benannt ist er nach Euklid von Alexandria, der ihn als Erster im dritten Jahrhundert v. Chr. in seinen Elementen bewies. Euklid selbst formulierte den Satz wie folgt: „Es gibt mehr Primzahlen als jede vorgelegte Anzahl von Primzahlen“. Eine Primzahl ist eine ganze Zahl größer als 1, die nur durch 1 und sich selbst teilbar ist. Die ersten Primzahlen sind 2, 3, 5 und 7. Der Satz des Euklid besagt, dass die Liste 2, 3, 5, 7, 11, 13 … aller Primzahlen nicht endet, genauso wie die Liste 1, 2, 3, 4, 5, 6 … aller natürlichen Zahlen nicht endet. Der ursprüngliche von Euklid geführte Beweis ist direkt und konstruktiv. Zu einer gegebenen endlichen Liste von Primzahlen wird stets eine weitere noch nicht vorhandene Primzahl erzeugt, ohne diese jedoch explizit anzugeben.
		+
		+	140322 via wiki p

	==Pi mit-31-415-Billionen-Stellen==		==Pi mit-31-415-Billionen-Stellen==

Wiki: /* George Odom -- 1941-2010 */ “I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza's God, it won

2022-02-23T18:45:33Z

George Odom -- 1941-2010: “I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza's God, it won

← Nächstältere Version		Version vom 23. Februar 2022, 18:45 Uhr
Zeile 110:		Zeile 110:

	==[[George Odom]] -- 1941-2010==		==[[George Odom]] -- 1941-2010==
-
-	~~spannend~~

	https://books.google.de/books?id=cKpBGcqpspIC&pg=PA268#v=onepage&q=odom&f=false		https://books.google.de/books?id=cKpBGcqpspIC&pg=PA268#v=onepage&q=odom&f=false
Zeile 125:		Zeile 123:
	leseprobe_rheinwerk_python_3_handbuch.pdf ... 50 seiten		leseprobe_rheinwerk_python_3_handbuch.pdf ... 50 seiten
	https://s3-eu-west-1.amazonaws.com/gxmedia.galileo-press.de/leseproben/5199/leseprobe_rheinwerk_python_3_handbuch.pdf		https://s3-eu-west-1.amazonaws.com/gxmedia.galileo-press.de/leseproben/5199/leseprobe_rheinwerk_python_3_handbuch.pdf
		+
		+
		+	“I like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza's God, it won't love us in return.”
		+
		+	— Bertrand Russell, Letter to Lady Ottoline Morrell, March, 1912, as quoted in Gaither's Dictionary of Scientific Quotations (2012), p. 1318
		+
		+	230222 via fb

Wiki: Die objektorientierte Sprache Python eignet sich hervorragend zum Schreiben von Skripten, Programmen und Prototypen. Sie ist frei verfügbar, leicht zu lernen und zwischen allen wichtigen Plattformen p

2021-02-11T20:59:54Z

Die objektorientierte Sprache Python eignet sich hervorragend zum Schreiben von Skripten, Programmen und Prototypen. Sie ist frei verfügbar, leicht zu lernen und zwischen allen wichtigen Plattformen p

← Nächstältere Version		Version vom 11. Februar 2021, 20:59 Uhr
Zeile 11:		Zeile 11:


-	==Pi(z.z)a ==	+	Pi(z.z)a ==
-	volumen einer pizza ... #piday	+	volumen einer pizza mit radius z und höhe a ... #piday


-	~~>>> import random~~

		+	Die objektorientierte Sprache Python eignet sich hervorragend zum Schreiben von Skripten, Programmen und Prototypen. Sie ist frei verfügbar, leicht zu lernen und zwischen allen wichtigen Plattformen portabel, einschließlich Linux, Unix, Windows und Mac OS. Damit Sie im Programmieralltag immer den Überblick behalten, sind die verschiedenen Sprachmerkmale und Elemente in Python - kurz & gut übersichtlich zusammengestellt. Für Auflage 5 wurde die Referenz komplett überarbeitet, erweitert und auf den neuesten Stand gebracht, so dass sie die beiden aktuellen Versionen 2.7 und 3.4 berücksichtigt. Python - kurz & gut behandelt unter anderem: Eingebaute Typen wie Zahlen, Listen, Dictionarys u.v.a.; Anweisungen und Syntax für Entwicklung und Ausführung von Objekten; Die objektorientierten Entwicklungstools in Python; Eingebaute Funktionen, Ausnahmen und Attribute; pezielle Methoden zur Operatorenüberladung; Weithin benutzte Standardbibliotheksmodule und Erweiterungen; Kommandozeilenoptionen und Entwicklungswerkzeuge. Mark Lutz stieg 1992 in die Python-Szene ein und ist seitdem als aktiver Pythonista bekannt. Er gibt Kurse, hat zahlreiche Bücher geschrieben und mehrere Python-Systeme programmiert.

-	~~>>> help random~~

-	~~SyntaxError: invalid syntax~~	+	...


Zeile 27:		Zeile 26:
	Type help() for interactive help, or help(object) for help about object.		Type help() for interactive help, or help(object) for help about object.

		+
		+	...
		+
		+
		+	>>> import random

	>>> help (random)		>>> help (random)
Zeile 32:		Zeile 36:
	Help on module random:		Help on module random:

-	NAME	+	NAME random - Random variable generators.
-	random - Random variable generators.	+

-	MODULE REFERENCE	+	MODULE REFERENCE https://docs.python.org/3.9/library/random
-	https://docs.python.org/3.9/library/random	+

	The following documentation is automatically generated from the Python		The following documentation is automatically generated from the Python
Zeile 43:		Zeile 45:
	implementations. When in doubt, consult the module reference at the		implementations. When in doubt, consult the module reference at the
	location listed above.		location listed above.
-
-
-

	== Pi per Zufallszahlen ==		== Pi per Zufallszahlen ==

Wiki: /* Pi(z.z)a */ == Pi per Zufallszahlen == Man stelle sich einen Kreis mit Mittelpunkt (0/0) und Radius 1 vor. Es werden zufällig Punkte erzeugt, bei denen sowohl x als auch y im Intervall [0;1[ liege

2021-02-09T13:50:39Z

Pi(z.z)a: == Pi per Zufallszahlen == Man stelle sich einen Kreis mit Mittelpunkt (0/0) und Radius 1 vor. Es werden zufällig Punkte erzeugt, bei denen sowohl x als auch y im Intervall [0;1[ liege

← Nächstältere Version		Version vom 9. Februar 2021, 13:50 Uhr
Zeile 19:		Zeile 19:

	>>> help random		>>> help random
		+
	SyntaxError: invalid syntax		SyntaxError: invalid syntax


	>>> help		>>> help
		+
	Type help() for interactive help, or help(object) for help about object.		Type help() for interactive help, or help(object) for help about object.
		+

	>>> help (random)		>>> help (random)
		+
	Help on module random:		Help on module random:

Zeile 39:		Zeile 43:
	implementations. When in doubt, consult the module reference at the		implementations. When in doubt, consult the module reference at the
	location listed above.		location listed above.
		+
		+
		+
		+
		+	== Pi per Zufallszahlen ==
		+
		+	Man stelle sich einen Kreis mit Mittelpunkt (0/0) und Radius 1 vor. Es werden zufällig Punkte erzeugt, bei denen sowohl x als auch y im Intervall [0;1[ liegen. Dann wird die Entfernung dieser Punkte zum Ursprung ermittelt. Ist diese Entfernung kleiner als 1, so liegt der Punkt innerhalb des Kreises.
		+	Setzt man bei einer ausreichenden Zahl von Zufallspunkten die Zahl der Treffer in das richtigen Verhältnis zur Gesamtzahl der Punkte, so erhält man einen Näherungswert für Pi (Pi = 4 * AnzahlTreffer / AnzahlGesamt).

	==Every year Pi-day is celebrated on March 14th==		==Every year Pi-day is celebrated on March 14th==

Wiki: /* Pi(z.z)a */ >>> help (random) Help on module random: NAME random - Random variable generators. MODULE REFERENCE https://docs.python.org/3.9/library/random

2021-02-09T13:38:24Z

Pi(z.z)a: >>> help (random) Help on module random: NAME random - Random variable generators. MODULE REFERENCE https://docs.python.org/3.9/library/random

← Nächstältere Version		Version vom 9. Februar 2021, 13:38 Uhr
Zeile 14:		Zeile 14:
	volumen einer pizza ... #piday		volumen einer pizza ... #piday

		+
		+	>>> import random
		+
		+
		+	>>> help random
		+	SyntaxError: invalid syntax
		+
		+
		+	>>> help
		+	Type help() for interactive help, or help(object) for help about object.
		+
		+	>>> help (random)
		+	Help on module random:
		+
		+	NAME
		+	random - Random variable generators.
		+
		+	MODULE REFERENCE
		+	https://docs.python.org/3.9/library/random
		+
		+	The following documentation is automatically generated from the Python
		+	source files. It may be incomplete, incorrect or include features that
		+	are considered implementation detail and may vary between Python
		+	implementations. When in doubt, consult the module reference at the
		+	location listed above.

	==Every year Pi-day is celebrated on March 14th==		==Every year Pi-day is celebrated on March 14th==