PI calculation force challenge
Publish: 2021-04-29 02:03:36
1.
Meaningful, in the case of new trends in human research, these people have made their own efforts . If it goes on, it's impossible to calculate all the cycles of the earth. And in the interview, the female programmer disclosed relevant information. She said that the first reason why she made such a move was to commemorate Pi Day. The second reason was to challenge herself, which was also to challenge the performance of computing. She wanted to calculate pi to 31.4 trillion bits
the programmer said that she hopes to continue to expand her achievements. She has been obsessed with PI since she was 12 years old. "As a child, I downloaded a program from my computer to calculate pi," she said. At that time, the world record holder was Japanese, so it was easy for me to make progress in this field Later, when Emma was in University, one of her teachers was Takahashi Daisuke, one of the two owners of PI calculation records at that time
2.
I believe my friends are familiar with PI. It is the first infinite non circulating decimal that we come into contact with after school. Even a primary school student knows that PI can not be calculated completely. When the teacher teaches the students, he will also tell them that this number can not be calculated completely
however, science is constantly creating miracles, constantly making things that people thought impossible possible. Many of the impossibilities in the eyes of the predecessors have now become possible. So the PI may be an incalculable number in the current scientific community, but whether it will be infinite in the future may be an unknown number. So someone asked this question: if the PI is exhausted one day, what kind of earthquake will the scientific community cause
However powerful supercomputers are, it is impossible for human beings to calculate pi completely. Only when the digital world of human beings ushers in a subversive leap and enters a higher level digital system, can we calculate pi completely through new mathematical algorithms3. According to a number of Russian media reports, the 33 year old Ukrainian neurosurgery Professor Andre sloshazik is a memory genius. So far, he has two world records: being able to recite PI π) Up to 1 million digits and 5100 digits in 2 minutes. Interestingly, Andre thinks that his brain potential is far from being developed, and his next goal is to recite 5 million PI numbers< It is reported that Andre is not the kind of nerd who only talks but not practices. He has set two world records related to memory by using his original memory secret. The first world record he set was to recite about one million digits after the decimal point of PI at one go, leaving far behind the original record of reciting 83431 digits after the decimal point set by 59 year old Japanese Akira Haraguchi on July 1, 2005
according to Andre, before the formal challenge, he spent six days digesting a 250 page book, and finally "input" all 1 million PI figures into his brain. Andre's second world record is to remember all 5100 figures in the shortest time (2 minutes). So far, he deserves to be "the man with the strongest memory on earth"< At present, Andre's two achievements have been recorded in the annals of Ukrainian records. Speaking of his original intention of challenging the limit, he revealed that "the secret of memory" is the most concerned by the world: "whether it's numbers, text, pictures or sounds, the brain's memory process is continuous. During this period, the brain calls the scattered "memory fragments" buried in the deepest place from time to time. Whenever I remember, I focus in a special way: close my eyes and flash in my mind from time to time what I want to remember: a few pages of text, a few lines of numbers or a few pictures. On several occasions, after observing the operations of several neurosurgery masters, I remembered every action of them on the spot, and then repeated it accurately without any distortion. "
it is reported that Andre is not satisfied with his current achievements. His next goal is to challenge the memory limit of reciting 5 million digits of PI. At the same time, he has two other plans: to solve mathematical problems faster than computers; Recite any text, and quickly count the number of letters it contains, including vowels and consonants.
according to Andre, before the formal challenge, he spent six days digesting a 250 page book, and finally "input" all 1 million PI figures into his brain. Andre's second world record is to remember all 5100 figures in the shortest time (2 minutes). So far, he deserves to be "the man with the strongest memory on earth"< At present, Andre's two achievements have been recorded in the annals of Ukrainian records. Speaking of his original intention of challenging the limit, he revealed that "the secret of memory" is the most concerned by the world: "whether it's numbers, text, pictures or sounds, the brain's memory process is continuous. During this period, the brain calls the scattered "memory fragments" buried in the deepest place from time to time. Whenever I remember, I focus in a special way: close my eyes and flash in my mind from time to time what I want to remember: a few pages of text, a few lines of numbers or a few pictures. On several occasions, after observing the operations of several neurosurgery masters, I remembered every action of them on the spot, and then repeated it accurately without any distortion. "
it is reported that Andre is not satisfied with his current achievements. His next goal is to challenge the memory limit of reciting 5 million digits of PI. At the same time, he has two other plans: to solve mathematical problems faster than computers; Recite any text, and quickly count the number of letters it contains, including vowels and consonants.
4. 1. In the recitation at 14:56 on November 20, 2006, LV Chao used 24 hours and 4 minutes to recite pi to 67890 after the decimal point without interruption and error. When he recited to 67890 after the decimal point, he recited "0" as "5" with error. The challenge ended. Previously, the Guinness World record of reciting PI was 42195 after the decimal point without error, It was created in 1995 by Japanese Yoshi yingzhe
LV Chao, born in November 1982, is a postgraate student of Northwest A & F University. In 2001, he was admitted to Northwest A & F University of life sciences in Zaoyang City, Hubei Province. In 2005, he was recommended to study for the master's degree of applied chemistry without examination. Lu Chao has a strong memory ability, especially good at reciting and dictating numbers. It usually takes only 10 minutes to memorize 100 digits. It takes four years to recite PI, and one year to prepare. The number of PI that can be memorized is more than 90000. In 2004, Lu Chao began to recite PI by using various memory methods. In the summer vacation of 2005, he spent more than 10 hours every day memorizing and reviewing PI. After more than two months of preparation, he was able to recite more than 90000 decimal places accurately, so he decided to challenge the world record of "reciting Pi". At the beginning of January 2006, LV Chao sent all the application materials to Guinness headquarters. After detailed review, in October 2006, Guinness headquarters officially recognized LV Chao's challenge record and issued LV Chao with the Guinness world record certificate
2. Pi is the ratio of circumference to diameter of a circle, usually in Greek letters π Expression is a mathematical constant that exists in mathematics and physics. π It is also equal to the ratio of the area of the circle to the square of the radius. It is the key value to accurately calculate the circumference, area and volume of a circle. In analysis, π It can be strictly defined as the minimum positive real number x satisfying SiNx = 0
use the letter P for PI à i) It is a constant (approximately equal to 3.141592654) and represents the ratio of circumference to diameter. It is an irrational number, that is, infinite non cyclic decimal. In daily life, 3.14 is usually used to represent PI for approximate calculation. A decimal of 3.141592654 is enough for general calculation. Even if engineers or physicists want to carry out more precise calculation, they only need to take the value to hundreds of decimal places at most
3. On October 16, 2011, Maori Kondo, an employee of the company in IITA City, Nagano Prefecture, Japan, used his home computer to calculate the PI to 10 trillion decimal places, breaking the 5 trillion Guinness world record set by himself in August 2010. Mr. Kondo, 56, uses a self-assembled computer and has been calculating since October, taking about a year to set a new record
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LV Chao, born in November 1982, is a postgraate student of Northwest A & F University. In 2001, he was admitted to Northwest A & F University of life sciences in Zaoyang City, Hubei Province. In 2005, he was recommended to study for the master's degree of applied chemistry without examination. Lu Chao has a strong memory ability, especially good at reciting and dictating numbers. It usually takes only 10 minutes to memorize 100 digits. It takes four years to recite PI, and one year to prepare. The number of PI that can be memorized is more than 90000. In 2004, Lu Chao began to recite PI by using various memory methods. In the summer vacation of 2005, he spent more than 10 hours every day memorizing and reviewing PI. After more than two months of preparation, he was able to recite more than 90000 decimal places accurately, so he decided to challenge the world record of "reciting Pi". At the beginning of January 2006, LV Chao sent all the application materials to Guinness headquarters. After detailed review, in October 2006, Guinness headquarters officially recognized LV Chao's challenge record and issued LV Chao with the Guinness world record certificate
2. Pi is the ratio of circumference to diameter of a circle, usually in Greek letters π Expression is a mathematical constant that exists in mathematics and physics. π It is also equal to the ratio of the area of the circle to the square of the radius. It is the key value to accurately calculate the circumference, area and volume of a circle. In analysis, π It can be strictly defined as the minimum positive real number x satisfying SiNx = 0
use the letter P for PI à i) It is a constant (approximately equal to 3.141592654) and represents the ratio of circumference to diameter. It is an irrational number, that is, infinite non cyclic decimal. In daily life, 3.14 is usually used to represent PI for approximate calculation. A decimal of 3.141592654 is enough for general calculation. Even if engineers or physicists want to carry out more precise calculation, they only need to take the value to hundreds of decimal places at most
3. On October 16, 2011, Maori Kondo, an employee of the company in IITA City, Nagano Prefecture, Japan, used his home computer to calculate the PI to 10 trillion decimal places, breaking the 5 trillion Guinness world record set by himself in August 2010. Mr. Kondo, 56, uses a self-assembled computer and has been calculating since October, taking about a year to set a new record
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how to quickly remember 10 years of super training
5.
The world record of reciting PI by 2019 is China's LV Chao reciting pi to 67890 decimal places without error
At the beginning of January 2006, LV Chao sent all the application materials to Guinness headquarters. After detailed review, in October 2006, Guinness headquarters officially recognized LV Chao's challenge record and issued LV Chao with the Guinness world record certificate in the recitation at 14:56 on November 20, 2006, LV Chao recited pi to 67890 after the decimal point in 24 hours and 4 minutes without interruption and error. When he recited to 67890 after the decimal point, he recited "0" as "5" and made mistakes. The challenge ended, Thus, the Guinness world record of reciting pi to 42195 decimal places without error set by a Japanese student, Yoshi yingzhe, in 1995 was set< In 2004, Lu Chao began to recite PI by using various memory methods. In the summer vacation of 2005, he spent more than 10 hours every day memorizing and reviewing PI. After more than two months of preparation, he was able to recite more than 90000 decimal places accurately, so he decided to challenge the world record of "reciting Pi"
Guinness World Records, originated in the UK, is recognized as the authority of global records certification. Guinness World Records certifier is one of the most interesting professions in the world, witnessing the birth of all kinds of world records every day. It is the ultimate authority to record the achievement of creating world records and the story of record holder
singer Lin Junjie signed 3052 CDs in Tianjin on July 22, 2007, setting a Guinness world record for the largest number of CDs in a row
6. There is no clever way to recite 801 to 1000 digits. Usually, five people are separated in a paragraph, reciting and reviewing until they remember.
7. Pi - π
what is Pi
pi is a constant, which represents the ratio of circumference to diameter. It is an irrational number, that is, an infinite non cyclic decimal. But in daily life, 3.14 is usually used to represent the PI for calculation. Even if engineers or physicists want to carry out more precise calculation, they only take the value to about 20 decimal places
what is π? < br /> π It is the sixteenth Greek letter. Originally, it has nothing to do with PI, but Euler, the great mathematician, began to use it in his letters and papers in 1736 π To represent PI. Since he is a great mathematician, people use him in a different way π It's PI. but π In addition to expressing PI, it can also be used to express other things, and its appearance can also be seen in statistics< In history, many mathematicians have studied PI, among which Archimedes of Syracuse, Claudius Ptolemy, Zhang Heng and Zu Chong are famous. In their own countries, they worked hard to calculate the value of PI. The following is the research results of PI in various parts of the world<
Asia
China:
in the Wei and Jin Dynasties, Liu Hui used the method of graally increasing the number of sides of a regular polygon to approach the circle (i.e., "circle cutting technique") to get the result π 1416
in the Han Dynasty, Zhang Heng came to the conclusion that π The square of 16 is equal to 5 / 8 π Is equal to 10 (about 3.162). Although this value is not very accurate, it is easy to understand, so it has been popular in Asia for a while
Wang Fan (229-267) found another pI value, which is 3.156, but no one knows how he got it< In the 5th century, Zu Chong and his son calculated the Pi of 355 / 113 with a regular 24576 polygon, which is less than one in 800 million compared with the real value. This record was not broken until a thousand years later
India:
around 530 A.D., the mathematician ayapoto used the circumference of a 384 polygon to calculate the Pi of about √ 9.8684
Brahman Gupta used another method to dece the square root of PI equal to 10
Europe
Fibonacci calculated the PI to be about 3.1418
with Archimedes' method, Veda calculated 3.1415926535 & lt; π& lt; 3.1415926537
he is also the first person to describe PI by infinite proct
Rudolph van kollen calculated the circumference with 35 decimal places from polygons with more than 32 billion sides< In 1655, Wallace worked out a formula π/ 2=2 × two × four × four × six × six × eight × 8...../3 × three × five × five × seven × seven × nine × 9...
Euler's discovery of I of e π It is proved that the power plus 1 equals 0 π It is an important basis of transcendental number
since then, people have been giving arctangent formula or infinite order number to calculate π, I won't say much here< br /> π Relationship with computers
in 1949, ENIAC (Electronic Numerical interator and computer), the world's first computer made in the United States, was launched at the Aberdeen Proving Ground. The following year, Ritter weasler, von Neumann and metzpolis used the computer to calculate π 2037 decimal places. It only took 70 hours for this computer to complete the work. Decting the time spent inserting the punch card, it is equivalent to calculating one digit in an average of two minutes. Five years later, NORC (Naval Weapons Research Computer) only took 13 minutes to get the result π 3089 decimal places. With the continuous progress of science and technology, the computing speed of computers has become faster and faster. From the 1960s to the 1970s, with the continuous competition of computer scientists in the United States, Britain and France on computers, π The value of is becoming more and more accurate. In 1973, Jean guilloud and m. Bouyer discovered π The millionth decimal place of
in 1976, a new breakthrough appeared. Eugene salamin published a new formula, which is a second-order calculation rule, that is to say, every calculation will multiply the significant number. Gauss had found a similar formula before, but it was so complicated that it was not feasible in the era without computers. Since then, people have been using high-speed computers in combination with salamin like algorithms π The value of. So far, π The value of has been calculated to 510 million decimal places
why continue to calculate π
in fact, even the most demanding and accurate calculation does not use so many decimal places, so why do people keep trying to calculate pi
this is because this method can be used to test the faults of the computer. If the value obtained in the calculation is wrong, it means that there is something wrong with the hardware or the software, so it needs to be changed. At the same time, using computer to calculate pi can also make people have a healthy competition, and science and technology can also be improved, so as to improve human life. Even calculus and higher trigonometric identities have been developed with the promotion of the study of PI< br />▲ π The development of PI
chronology
the content of the verifier
ancient Chinese Zhou Bi Suanjing Zhou Yi Jing Jing Jing San
pi = 3
Western Bible
Archimedes (Greece) before Yuan Dynasty 1. The area of a circle is equal to the area of a rectangle with half circle and diameter as sides
2. The ratio of the area of a circle to the area of a square with diameter as length is 11:14
3 The ratio of circumference to diameter is less than 3 1 / 7, which is larger than that of Liu Hui in the third century; Hui rate: 39< Zuchong in the fifth century China 1. 3.1415926 < PI < 3.1415927
2. Approximate ratio = 22 / 7
3. Density ratio = 355 / 113
Rudolph in 1596; Weida in 1579
France 39; Weida formula; It is expressed by the proct of infinite terms of series< In 1600, William ottolant was a British writer/ σ Indicates the PI
π It is the first letter of Greek circle
σ It is the first letter of the diameter of Greek.
in 1655, Wallis was the pioneer of using infinite series to solve the problem; In 1706, Ma Qi was born in England; Ma Qi formula; It is calculated that ᦇ 61552; In 1706, Jones was the first person to use & ᦇ 61552 in England; In 1789, George wiga, England, calculated the PI accurately; In 1841, Rutherford, the British accurately calculated the total number of people; In 1847, Klausen was the most accurate British figure; To 248
in 1873, William shawkes was the most accurate British figure; To 527,
in 1948, Ferguson and rench
the United Kingdom and the United States accurately calculated ﹣ and ﹣ 61552; To 808
in 1949, Ritter Wilson
the United States used computers to make the world famous; It can be calculated to 2034 bits
with modern computers, it is possible to; Calculate to 100 million
} recite π
many people have always wanted to challenge their memory. They usually aim at PI. The current world record was set by jinghouteng, who spent more than nine hours reciting 42000 digits of PI in 1995
at present, the most commonly used technique of memorizing Pi is the word length method, in which the number of words in each word represents one digit of PI. In this way, the simplest one is "how I wish I could calculate pi."
it's also very easy to recite PI in Chinese, because every number has only one syllable, which is just like reciting a poem, but it's a little too late, For example:
one stone and one pot of wine on the top of the mountain
3.14159
two couples dance and fan dance
26535
build the wine and fan it again
8979323
satiety and death....
846....
about π The interesting discovery of
will π Add the first 144 decimal places of, and the result is 666. 144 is also equivalent to (6 + 6) * (6 + 6)
Einstein's birthday happens to be at π Day (3 / 14 / 1879)
from π Starting from the 523551502 decimal place of the, is the sequence 123456789
starting from the 359th digit, it is the number 360. That is to say, the 360th digit is in the center of the number 360
in the first million decimals, except for 2 and 4, other numbers have appeared seven times in a row.
what is Pi
pi is a constant, which represents the ratio of circumference to diameter. It is an irrational number, that is, an infinite non cyclic decimal. But in daily life, 3.14 is usually used to represent the PI for calculation. Even if engineers or physicists want to carry out more precise calculation, they only take the value to about 20 decimal places
what is π? < br /> π It is the sixteenth Greek letter. Originally, it has nothing to do with PI, but Euler, the great mathematician, began to use it in his letters and papers in 1736 π To represent PI. Since he is a great mathematician, people use him in a different way π It's PI. but π In addition to expressing PI, it can also be used to express other things, and its appearance can also be seen in statistics< In history, many mathematicians have studied PI, among which Archimedes of Syracuse, Claudius Ptolemy, Zhang Heng and Zu Chong are famous. In their own countries, they worked hard to calculate the value of PI. The following is the research results of PI in various parts of the world<
Asia
China:
in the Wei and Jin Dynasties, Liu Hui used the method of graally increasing the number of sides of a regular polygon to approach the circle (i.e., "circle cutting technique") to get the result π 1416
in the Han Dynasty, Zhang Heng came to the conclusion that π The square of 16 is equal to 5 / 8 π Is equal to 10 (about 3.162). Although this value is not very accurate, it is easy to understand, so it has been popular in Asia for a while
Wang Fan (229-267) found another pI value, which is 3.156, but no one knows how he got it< In the 5th century, Zu Chong and his son calculated the Pi of 355 / 113 with a regular 24576 polygon, which is less than one in 800 million compared with the real value. This record was not broken until a thousand years later
India:
around 530 A.D., the mathematician ayapoto used the circumference of a 384 polygon to calculate the Pi of about √ 9.8684
Brahman Gupta used another method to dece the square root of PI equal to 10
Europe
Fibonacci calculated the PI to be about 3.1418
with Archimedes' method, Veda calculated 3.1415926535 & lt; π& lt; 3.1415926537
he is also the first person to describe PI by infinite proct
Rudolph van kollen calculated the circumference with 35 decimal places from polygons with more than 32 billion sides< In 1655, Wallace worked out a formula π/ 2=2 × two × four × four × six × six × eight × 8...../3 × three × five × five × seven × seven × nine × 9...
Euler's discovery of I of e π It is proved that the power plus 1 equals 0 π It is an important basis of transcendental number
since then, people have been giving arctangent formula or infinite order number to calculate π, I won't say much here< br /> π Relationship with computers
in 1949, ENIAC (Electronic Numerical interator and computer), the world's first computer made in the United States, was launched at the Aberdeen Proving Ground. The following year, Ritter weasler, von Neumann and metzpolis used the computer to calculate π 2037 decimal places. It only took 70 hours for this computer to complete the work. Decting the time spent inserting the punch card, it is equivalent to calculating one digit in an average of two minutes. Five years later, NORC (Naval Weapons Research Computer) only took 13 minutes to get the result π 3089 decimal places. With the continuous progress of science and technology, the computing speed of computers has become faster and faster. From the 1960s to the 1970s, with the continuous competition of computer scientists in the United States, Britain and France on computers, π The value of is becoming more and more accurate. In 1973, Jean guilloud and m. Bouyer discovered π The millionth decimal place of
in 1976, a new breakthrough appeared. Eugene salamin published a new formula, which is a second-order calculation rule, that is to say, every calculation will multiply the significant number. Gauss had found a similar formula before, but it was so complicated that it was not feasible in the era without computers. Since then, people have been using high-speed computers in combination with salamin like algorithms π The value of. So far, π The value of has been calculated to 510 million decimal places
why continue to calculate π
in fact, even the most demanding and accurate calculation does not use so many decimal places, so why do people keep trying to calculate pi
this is because this method can be used to test the faults of the computer. If the value obtained in the calculation is wrong, it means that there is something wrong with the hardware or the software, so it needs to be changed. At the same time, using computer to calculate pi can also make people have a healthy competition, and science and technology can also be improved, so as to improve human life. Even calculus and higher trigonometric identities have been developed with the promotion of the study of PI< br />▲ π The development of PI
chronology
the content of the verifier
ancient Chinese Zhou Bi Suanjing Zhou Yi Jing Jing Jing San
pi = 3
Western Bible
Archimedes (Greece) before Yuan Dynasty 1. The area of a circle is equal to the area of a rectangle with half circle and diameter as sides
2. The ratio of the area of a circle to the area of a square with diameter as length is 11:14
3 The ratio of circumference to diameter is less than 3 1 / 7, which is larger than that of Liu Hui in the third century; Hui rate: 39< Zuchong in the fifth century China 1. 3.1415926 < PI < 3.1415927
2. Approximate ratio = 22 / 7
3. Density ratio = 355 / 113
Rudolph in 1596; Weida in 1579
France 39; Weida formula; It is expressed by the proct of infinite terms of series< In 1600, William ottolant was a British writer/ σ Indicates the PI
π It is the first letter of Greek circle
σ It is the first letter of the diameter of Greek.
in 1655, Wallis was the pioneer of using infinite series to solve the problem; In 1706, Ma Qi was born in England; Ma Qi formula; It is calculated that ᦇ 61552; In 1706, Jones was the first person to use & ᦇ 61552 in England; In 1789, George wiga, England, calculated the PI accurately; In 1841, Rutherford, the British accurately calculated the total number of people; In 1847, Klausen was the most accurate British figure; To 248
in 1873, William shawkes was the most accurate British figure; To 527,
in 1948, Ferguson and rench
the United Kingdom and the United States accurately calculated ﹣ and ﹣ 61552; To 808
in 1949, Ritter Wilson
the United States used computers to make the world famous; It can be calculated to 2034 bits
with modern computers, it is possible to; Calculate to 100 million
} recite π
many people have always wanted to challenge their memory. They usually aim at PI. The current world record was set by jinghouteng, who spent more than nine hours reciting 42000 digits of PI in 1995
at present, the most commonly used technique of memorizing Pi is the word length method, in which the number of words in each word represents one digit of PI. In this way, the simplest one is "how I wish I could calculate pi."
it's also very easy to recite PI in Chinese, because every number has only one syllable, which is just like reciting a poem, but it's a little too late, For example:
one stone and one pot of wine on the top of the mountain
3.14159
two couples dance and fan dance
26535
build the wine and fan it again
8979323
satiety and death....
846....
about π The interesting discovery of
will π Add the first 144 decimal places of, and the result is 666. 144 is also equivalent to (6 + 6) * (6 + 6)
Einstein's birthday happens to be at π Day (3 / 14 / 1879)
from π Starting from the 523551502 decimal place of the, is the sequence 123456789
starting from the 359th digit, it is the number 360. That is to say, the 360th digit is in the center of the number 360
in the first million decimals, except for 2 and 4, other numbers have appeared seven times in a row.
8. LV Chao was born in November 1982 and holds a master's degree in Northwest A & F University. In 2001, he was admitted to Northwest A & F University of life sciences in Zaoyang City, Hubei Province. In 2005, he was recommended to study for the master's degree of applied chemistry without examination. Lu Chao has a strong memory ability, especially good at reciting and dictating numbers. It usually takes only 10 minutes to memorize 100 digits. It takes four years to recite PI, and one year to prepare. The number of PI that can be memorized is more than 90000. In the recitation at 14:56 on November 20, 2006, LV Chao recited pi to 67890 after the decimal point in 24 hours and 4 minutes without interruption and error. When he recited to 67890 after the decimal point, he recited "0" as "5" and made mistakes. The challenge ended, Thus, the Guinness world record of reciting pi to 42195 decimal places without error set by a Japanese student, Yoshi yingzhe, in 1995 was set. It is understood that in 2004, LV Chao began to recite PI by using various memory methods. In the summer vacation of 2005, he spent more than 10 hours every day memorizing and reviewing PI. After more than two months of preparation, he was able to recite more than 90000 decimal places accurately, so he decided to challenge the world record of "reciting Pi". At the beginning of January 2006, LV Chao sent all the application materials to Guinness headquarters. After detailed review, in October 2006, Guinness headquarters officially recognized LV Chao's challenge record and issued LV Chao with the Guinness world record certificate
please accept... 0.0
please accept... 0.0
9.
I still remember watching some ecation channels when I was a child. There were some prodigies in them, who could calculate many places after the decimal point of PI. At that time, I felt that they were very powerful. Since I had a computer, my worship for them was like a torrent of water. To tell you the truth, PI is a very special existence in the field of mathematics and physics, because many scientists want to prove whether it is an irrational number or a rational number{ RRRRR}
in addition to helping human beings explore the universe, PI is also a great challenge to human civilization. We should know that for thousands of years, human beings have been trying their best to explore PI, the social law of the world. PI lens seems to be able to find a breakthrough for contemporary science, let mankind find the next step of development. Of course, in addition to PI, there are other things, such as gravitational wave quantum mechanics discovered in recent years
10. What is Pi
pi is a constant, which represents the ratio of circumference to diameter. It is an irrational number, that is, an infinite non cyclic decimal. But in daily life, 3.14 is usually used to represent the PI for calculation. Even if engineers or physicists want to carry out more precise calculation, they only take the value to about 20 decimal places
what is π?< br /> π It is the sixteenth Greek letter. Originally, it has nothing to do with PI, but Euler, the great mathematician, began to use it in his letters and papers in 1736 π To represent PI. Since he is a great mathematician, people use him in a different way π It's PI. but π In addition to expressing PI, it can also be used to express other things, and its appearance can also be seen in statistics< In history, many mathematicians have studied PI, among which Archimedes of Syracuse, Claudius Ptolemy, Zhang Heng and Zu Chong are famous. In their own countries, they worked hard to calculate the value of PI. The following is the research results of PI in various parts of the world<
Asia
China:
in the Wei and Jin Dynasties, Liu Hui used the method of graally increasing the number of sides of a regular polygon to approach the circle (i.e., "circle cutting technique") to get the result π 1416
in the Han Dynasty, Zhang Heng came to the conclusion that π The square of 16 is equal to 5 / 8 π Is equal to 10 (about 3.162). Although this value is not very accurate, it is easy to understand, so it has been popular in Asia for a while
Wang Fan (229-267) found another pI value, which is 3.156, but no one knows how he got it< In the 5th century, Zu Chong and his son calculated the Pi of 355 / 113 with a regular 24576 polygon, which is less than one in 800 million compared with the real value. This record was not broken until a thousand years later
India:
around 530 A.D., the mathematician ayapoto used the circumference of a 384 polygon to calculate the Pi of about √ 9.8684
Brahman Gupta used another method to dece the square root of PI equal to 10
Europe
Fibonacci calculated the PI to be about 3.1418
with Archimedes' method, Veda calculated 3.1415926535 & lt; π& lt; 3.1415926537
he is also the first person to describe PI by infinite proct
Rudolph van kollen calculated the circumference with 35 decimal places from polygons with more than 32 billion sides< In 1655, Wallace worked out a formula π/ 2=2 × two × four × four × six × six × eight × 8...../3 × three × five × five × seven × seven × nine × 9...
Euler's discovery of I of e π It is proved that the power plus 1 equals 0 π It is an important basis of transcendental number
since then, people have been giving arctangent formula or infinite order number to calculate π, I won't say much here< br /> π Relationship with computers
in 1949, ENIAC (Electronic Numerical interator and computer), the world's first computer made in the United States, was launched at the Aberdeen Proving Ground. The following year, Ritter weasler, von Neumann and metzpolis used the computer to calculate π 2037 decimal places. It only took 70 hours for this computer to complete the work. Decting the time spent inserting the punch card, it is equivalent to calculating one digit in an average of two minutes. Five years later, NORC (Naval Weapons Research Computer) only took 13 minutes to get the result π 3089 decimal places. With the continuous progress of science and technology, the computing speed of computers has become faster and faster. From the 1960s to the 1970s, with the continuous competition of computer scientists in the United States, Britain and France on computers, π The value of is becoming more and more accurate. In 1973, Jean guilloud and m. Bouyer discovered π The millionth decimal place of
in 1976, a new breakthrough appeared. Eugene salamin published a new formula, which is a second-order calculation rule, that is to say, every calculation will multiply the significant number. Gauss had found a similar formula before, but it was so complicated that it was not feasible in the era without computers. Since then, people have been using high-speed computers in combination with salamin like algorithms π The value of. So far, π The value of has been calculated to 510 million decimal places
why continue to calculate π
in fact, even the most demanding and accurate calculation does not use so many decimal places, so why do people keep trying to calculate pi
this is because this method can be used to test the faults of the computer. If the value obtained in the calculation is wrong, it means that there is something wrong with the hardware or the software, so it needs to be changed. At the same time, using computer to calculate pi can also make people have a healthy competition, and science and technology can also be improved, so as to improve human life. Even calculus and higher trigonometric identities have been developed with the promotion of the study of PI< br />▲ π The development of PI
chronology
the content of the verifier
in ancient China, pi = 3
the Western Bible
Archimedes (Greece) before Yuan Dynasty 1. The area of a circle is equal to that of a rectangle with half circle and diameter as sides respectively
2. The ratio of the area of a circle to that of a square with diameter as side length is 11:14
3 The ratio of circle to diameter is less than 3 1 / 7, which is greater than that of Liu Hui in the third century; Hui rate: 39< Zuchong in the fifth century
China 1. 3.1415926 < PI < 3.1415927
2. Approximate ratio = 22 / 7
3. Density ratio = 355 / 113
Rudolph in 1596
35 digit number of P correctly calculated by Holland
Veda in 1579
France & 39; Weida formula; Expressed by infinite proct of series P
William ottolant in 1600/ σ Indicates the PI
π It is the first letter of Greek circle
σ It is the first letter of Greek diameter
Wallis in 1655
England created the precedent of using infinite series to find P
Machi in 1706
England & # 39; Ma Qi formula; The 100 digit number of P is calculated
Jones in 1706
Britain first used p to express PI
George wiga in 1789
Britain accurately counted p to 126
rudford in 1841
Britain accurately counted p to 152
Clausen in 1847
William shacks in 1873
Britain accurately counted p to 527
194 In 1949, the United States used computers to calculate p to 2034
modern computers can calculate p to hundreds of millions
recitation π
many people have always wanted to challenge their memory. They usually aim at PI. The current world record was set by jinghouteng, who spent more than nine hours reciting 42000 digits of PI in 1995
at present, the most commonly used technique of memorizing Pi is the word length method, in which the number of words in each word represents one digit of PI. In this way, the simplest one is "how I wish I could calculate pi."
it's also very easy to recite PI in Chinese, because every number has only one syllable, which is just like reciting a poem, but it's a little too late, For example:
one stone and one pot of wine on the top of the mountain
3.14159
two couples dance and fan dance
26535
build wine and fan again
8979323
satiety and death....
846....
about π The interesting discovery of
will π Add the first 144 decimal places of, and the result is 666. 144 is also equivalent to (6 + 6) * (6 + 6)
Einstein's birthday happens to be at π Day (3 / 14 / 1879)
from π Starting from the 523551502 decimal place of the, is the sequence 123456789
starting from the 359th digit, it is the number 360. That is to say, the 360th digit is in the center of the number 360
in the first million decimals, except for 2 and 4, other numbers have appeared seven times in a row.
pi is a constant, which represents the ratio of circumference to diameter. It is an irrational number, that is, an infinite non cyclic decimal. But in daily life, 3.14 is usually used to represent the PI for calculation. Even if engineers or physicists want to carry out more precise calculation, they only take the value to about 20 decimal places
what is π?< br /> π It is the sixteenth Greek letter. Originally, it has nothing to do with PI, but Euler, the great mathematician, began to use it in his letters and papers in 1736 π To represent PI. Since he is a great mathematician, people use him in a different way π It's PI. but π In addition to expressing PI, it can also be used to express other things, and its appearance can also be seen in statistics< In history, many mathematicians have studied PI, among which Archimedes of Syracuse, Claudius Ptolemy, Zhang Heng and Zu Chong are famous. In their own countries, they worked hard to calculate the value of PI. The following is the research results of PI in various parts of the world<
Asia
China:
in the Wei and Jin Dynasties, Liu Hui used the method of graally increasing the number of sides of a regular polygon to approach the circle (i.e., "circle cutting technique") to get the result π 1416
in the Han Dynasty, Zhang Heng came to the conclusion that π The square of 16 is equal to 5 / 8 π Is equal to 10 (about 3.162). Although this value is not very accurate, it is easy to understand, so it has been popular in Asia for a while
Wang Fan (229-267) found another pI value, which is 3.156, but no one knows how he got it< In the 5th century, Zu Chong and his son calculated the Pi of 355 / 113 with a regular 24576 polygon, which is less than one in 800 million compared with the real value. This record was not broken until a thousand years later
India:
around 530 A.D., the mathematician ayapoto used the circumference of a 384 polygon to calculate the Pi of about √ 9.8684
Brahman Gupta used another method to dece the square root of PI equal to 10
Europe
Fibonacci calculated the PI to be about 3.1418
with Archimedes' method, Veda calculated 3.1415926535 & lt; π& lt; 3.1415926537
he is also the first person to describe PI by infinite proct
Rudolph van kollen calculated the circumference with 35 decimal places from polygons with more than 32 billion sides< In 1655, Wallace worked out a formula π/ 2=2 × two × four × four × six × six × eight × 8...../3 × three × five × five × seven × seven × nine × 9...
Euler's discovery of I of e π It is proved that the power plus 1 equals 0 π It is an important basis of transcendental number
since then, people have been giving arctangent formula or infinite order number to calculate π, I won't say much here< br /> π Relationship with computers
in 1949, ENIAC (Electronic Numerical interator and computer), the world's first computer made in the United States, was launched at the Aberdeen Proving Ground. The following year, Ritter weasler, von Neumann and metzpolis used the computer to calculate π 2037 decimal places. It only took 70 hours for this computer to complete the work. Decting the time spent inserting the punch card, it is equivalent to calculating one digit in an average of two minutes. Five years later, NORC (Naval Weapons Research Computer) only took 13 minutes to get the result π 3089 decimal places. With the continuous progress of science and technology, the computing speed of computers has become faster and faster. From the 1960s to the 1970s, with the continuous competition of computer scientists in the United States, Britain and France on computers, π The value of is becoming more and more accurate. In 1973, Jean guilloud and m. Bouyer discovered π The millionth decimal place of
in 1976, a new breakthrough appeared. Eugene salamin published a new formula, which is a second-order calculation rule, that is to say, every calculation will multiply the significant number. Gauss had found a similar formula before, but it was so complicated that it was not feasible in the era without computers. Since then, people have been using high-speed computers in combination with salamin like algorithms π The value of. So far, π The value of has been calculated to 510 million decimal places
why continue to calculate π
in fact, even the most demanding and accurate calculation does not use so many decimal places, so why do people keep trying to calculate pi
this is because this method can be used to test the faults of the computer. If the value obtained in the calculation is wrong, it means that there is something wrong with the hardware or the software, so it needs to be changed. At the same time, using computer to calculate pi can also make people have a healthy competition, and science and technology can also be improved, so as to improve human life. Even calculus and higher trigonometric identities have been developed with the promotion of the study of PI< br />▲ π The development of PI
chronology
the content of the verifier
in ancient China, pi = 3
the Western Bible
Archimedes (Greece) before Yuan Dynasty 1. The area of a circle is equal to that of a rectangle with half circle and diameter as sides respectively
2. The ratio of the area of a circle to that of a square with diameter as side length is 11:14
3 The ratio of circle to diameter is less than 3 1 / 7, which is greater than that of Liu Hui in the third century; Hui rate: 39< Zuchong in the fifth century
China 1. 3.1415926 < PI < 3.1415927
2. Approximate ratio = 22 / 7
3. Density ratio = 355 / 113
Rudolph in 1596
35 digit number of P correctly calculated by Holland
Veda in 1579
France & 39; Weida formula; Expressed by infinite proct of series P
William ottolant in 1600/ σ Indicates the PI
π It is the first letter of Greek circle
σ It is the first letter of Greek diameter
Wallis in 1655
England created the precedent of using infinite series to find P
Machi in 1706
England & # 39; Ma Qi formula; The 100 digit number of P is calculated
Jones in 1706
Britain first used p to express PI
George wiga in 1789
Britain accurately counted p to 126
rudford in 1841
Britain accurately counted p to 152
Clausen in 1847
William shacks in 1873
Britain accurately counted p to 527
194 In 1949, the United States used computers to calculate p to 2034
modern computers can calculate p to hundreds of millions
recitation π
many people have always wanted to challenge their memory. They usually aim at PI. The current world record was set by jinghouteng, who spent more than nine hours reciting 42000 digits of PI in 1995
at present, the most commonly used technique of memorizing Pi is the word length method, in which the number of words in each word represents one digit of PI. In this way, the simplest one is "how I wish I could calculate pi."
it's also very easy to recite PI in Chinese, because every number has only one syllable, which is just like reciting a poem, but it's a little too late, For example:
one stone and one pot of wine on the top of the mountain
3.14159
two couples dance and fan dance
26535
build wine and fan again
8979323
satiety and death....
846....
about π The interesting discovery of
will π Add the first 144 decimal places of, and the result is 666. 144 is also equivalent to (6 + 6) * (6 + 6)
Einstein's birthday happens to be at π Day (3 / 14 / 1879)
from π Starting from the 523551502 decimal place of the, is the sequence 123456789
starting from the 359th digit, it is the number 360. That is to say, the 360th digit is in the center of the number 360
in the first million decimals, except for 2 and 4, other numbers have appeared seven times in a row.
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