Why do scientists study pi?

Scientists have found that the circle is the simplest and most perfect shape in the world. Therefore, in ancient times, the degree of knowledge and understanding of circles can be used as a yardstick to measure the mathematical level of a nation.

People use rulers to calculate lengths and scales to calculate weight, but how do you calculate the area of a circle? This has been a mathematical problem that has plagued people since ancient times. "However, it was discovered very early that regardless of the area of the circle.

How the size changes, the ratio of its circumference to diameter always remains the same, and this ratio is what puzzles people for thousands of years.

Nowadays, people usually use the Greek alphabet.

to represent pi. If we know the exact value of 丌, then it is much easier to calculate the circumference, area, diameter, radius, etc. of a circle. However, throughout the ages, great scientists around the world have discovered that pi is an infinite irrational number that does not circulate through careful calculations.

From ancient times to the present, countless mathematicians and philosophers have spent a lot of effort to find the exact value of pi.

Why do scientists keep studying pi? The answer is not as simple as you think?

Because it belongs to the positive n-side rate, it will confuse the curve with the polyline (the arc and the chord are not separated), and it has always used the positive n-side rate to replace the 6/3 of pi + 2 3.

Until the discovery of pi = 6/3 + 2 3, people will not discover what "antimatter" is?

So scientists are going to study pi.

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In ancient and modern times, many people have devoted themselves to the study and calculation of pi. In order to calculate an increasingly good approximation of pi, generations of mathematicians have devoted countless hours and efforts to this mysterious number. Before the 19th century, the calculation of pi progressed quite slowly, and after the 19th century, the world record for calculating pi was frequently updated.

The entire nineteenth century can be said to be the century with the greatest amount of manual calculations of pi. In the twentieth century, with the invention of the computer, the calculation of pi advanced by leaps and bounds. With the help of supercomputers, people have obtained an accuracy of 206.1 billion bits of pi.

One of the most marathon calculations in history is the German ludolph

Vanceulen, who had spent almost all his life calculating the inscribed 262-sided of the circle, obtained in 1609 a 35-digit precision value of the calendar pi, so much so that pi was called the Ludolph number in Germany; The second is William in the UK

Shanks, who spent 15 years working out the 707th decimal place of pi in 1874. Unfortunately, later generations found out that he was wrong from the 528th place. It doesn't really make much sense to calculate the value of pi so precisely.

The value of pi used in the field of modern science and technology, a dozen digits is sufficient. If you use ludolph

Vanceulen calculates the 35-digit precision value of pi to calculate the circumference of a circle that wraps the solar system with an error of less than one millionth of the diameter of a proton. In the past, people calculated pi to ** whether pi is a cyclic decimal. The mystery of pi has been unveiled since Lambert proved that pi is an irrational number in 1761 and Lindemann proved that pi is a transcendent number in 1882.

Nowadays, people calculate pi, mostly to verify the computing power of computers, and also, for interest.

Scientists are obsessed with calculating pi for the following reasons:

The dedication of scientists stems from the pursuit of knowledge and the love of human progress. For these top thinkers, data and numbers are not only part of knowledge, but also a bridge between ideas from different fields. Therefore, the challenge of calculating pi is not only a pleasure, but also a mental exercise that demonstrates the rigorous reasoning and tenacity of scientists.

The significance of calculating pi

What is the exact value of pi? Ancient mathematicians already knew that the ratio of the circumference to the diameter of a circle was a constant value, but they pointed out that the state leak could not determine its exact value. Both the ancient Egyptians and the Babylonians used a numerical approximation of pi.

Ancient Greek mathematicians established a relatively rigorous method to find pi by calculating the perimeter of a polygon and gradually approximating the circumference of a circle. For example, according to the method of the ancient Greek mathematician Archimedes, pi can be calculated to 3 decimal places using only regular 96 polygons.

With the development of computers, human calculations of pi have become more accurate and efficient. The most accurate number of decimal places for pi known is more than megabits. Calculating pi has become a classic problem in the field of computer applications, and many people use computers to calculate pi, including studying the application of pi in cryptography, communication, data compression and other fields.

And for some interesting properties of pi, such as its irrational nature, it fully demonstrates the depth of human understanding of pi. Interestingly, even after millennia, we still can't accurately represent the value of pi. This means that pi represents an infinite range of possibilities, which motivates mathematicians to constantly study the properties of pi in order to create more sophisticated mathematical theories and applications.

In addition to mathematics and applications, pi also plays a role in life. For example, people use pi to calculate room size, building volume, the diameter of a car tire, and the size of a circle**. Pi is also often mentioned in culture and literature, for example, the more famous is the poem by the American poet Emily Dickinson

Because I couldn't stay, I was whipped for it, and my fighting spirit was tempered to get closer to pi"。

Scientists work hard to calculate pi, and there is a lot of significance or value in studying it. Today we bring you the historical story of PI, about why scientists are so persistent in studying PI. You may not believe this answer.

Many math problems need to be calculated with pi, what do you think about pi? Although I haven't learned about it, I've read a lot of information, and the numerical ratio of pi is an infinitesimal and can only be used to approximate.

And the pi seems to be endless, and scientists have always wanted to use supercomputers to calculate it"pi "So why have scientists been so obsessed with studying PI? Let me tell you Actually, with the continuous progress of the science and technology group Zao Town, people are no longer accustomed to calculating with their brains or pens, because computers are more convenient, and now is the era of the Internet. We all know that Zu Chongzhi was the first person to come up with pi and calculate a rough value.

<>With the continuous progress of science and technology, as scientists continue to explore and research, scientists have gradually calculated more accurate values, in fact, these numbers are close"pi "and want to figure it out"pi "There is still a long way to go before the exact value of the Iwazakura. According to Xiaobi, the PI currently calculated by the computer already has 22 trillion decimal places. Can you imagine how much work that is?

And the pi is not at the end of the day. Scientists are constantly pushing the boundaries of science. Others say how boring scientists are!

What's the point of studying the decimal point behind PI? So, are scientists really that boring?

Of course not, in Pi County, it is well known that Liu Qiwei is the decimal point behind him, and with the development of science and technology, Pi County carries not only the people's calculations, but also a large number of scientific exploration spirit, Pi County is endless, and there are many more scientific studies of the same.

<> there is no reason for it, it's just people's curiosity!! We've all wondered: The chicken or the egg?

Does the universe have boundaries? ......All these questions come to anyone, and there is no final answer, because no one knows. According to the definition of number, there is no maximum and no minimum number.

Then if pi is exhausted, it means that it is a definite number, and it is no longer an unknown number. In fact, mathematics is a very wonderful subject, and a lot of its infrastructure cannot be proven, it is just a human rule. And mathematics is also the strictest, so many conjectures are difficult to prove, because in the huge mathematical edifice, there is a number that comes out to disprove this conjecture.

But then again, even if pi is exhausted, it will not have any effect on the present, because the error is too small, and there is nothing in the world that is completely free of error, and when the error is small, it can actually be ignored.

However, everything is changing, and there is no absolute truth, so let's explore it together! As we all know, the decimal point of pi is followed by an infinite non-cyclic decimal place, life is limited, but scientific exploration is endless, the higher the accuracy of pi, the smaller the error, the closer to the truth, the more it can reflect the purpose of scientific exploration and the meaning of scientists' lives. Because pi represents the degree of the circle, if it can be calculated to the end, it proves that there is an absolute circle, that is to say, the world is not composed of particles, because as long as it is composed of particles, it is not an absolute circle, if it is not composed of particles, it means that the derivation model of human beings inside the atom is wrong, not to mention quantum mechanics, that is also wrong, so only if pi is calculated forever, infinitely, can it be said that the particles in this world can be infinitely differentiated.

It can be differentiated all the way down to the most basic particle defined by humans: quantum. This quantum also represents the artificially defined absolute fundamental particle.

This is because scientists believe that pi is very useful and can solve many mathematical problems, so they are still working on it.

Because they want to crack the secret of pi, they want to study it, and they want to understand how it is calculated.

This is done in order to perform better calculations, avoid errors, and make the data more accurate, which plays a very important role.

Because scientific exploration is endless and never-ending, doing so can make the accuracy very high and can reduce errors.

It is a fast and accurate Wang Lichang algorithm that is looking for a finite number of calculations of pi.

What exactly is pi? Why do people study pi? What are your thoughts on this?

According to reports, data on circular frequencies were recorded about 4000 years ago, and through archaeological research, researchers found on stone slabs, from ancient Biran, that is, 3125, the ancient Egyptians registered a PI of 31605 in the same period, although these figures seem inaccurate today, which is the beginning of human exploration of the perimeter, which is very important.

<> a new algorithm for representation and verification. For the ancients, in addition to applications, perhaps there was also a boast of checking computer properties added: science itself does not necessarily mean anything, it can exist entirely as a hobby, and can be prioritized for the frequency of the years he calculated, and for more than 800 years, the Zuitt frequency was the best in the world.

To be precise, he has been leading the West for almost a thousand years. It wasn't until 1625 that the West finally uncovered Zuma's secrets. Now, as of March of this year, Google's computers on the pi are reaching trillions of bits after the semicolon, and we continue to calculate.

We all know that there is no end to the cycle. It also makes many people curious to know the frequency, especially the many scientists who have studied it all their lives.

With the help of computers, a small number of circular frequencies up to millions of bits can be quickly calculated, using a formula for very fast convergence frequencies. Before opening 24 hours this year (March 14), Peter Trub estimated it to be currently in the trillions of dollars. On Sunday, Emma Haruka Ivao, a programmer with Google Cloud Platform, announced that after 121 days of work, she had calculated a small PI of up to $30 trillion.

That number reached 31415926535897.

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A constant in the circumference of a circle.

There is no end to pi.