Pi? It is very common in mathematics and is often used in all aspects. Of course, such an important value that can not be ignored is indispensable to mathematicians' eager attention and great interest. Rudolph? Fan? Coy is a famous mathematician in Germany. He devoted the rest of his life to mathematical research. In more than ten years, he successfully and accurately calculated 35 decimal places by using geometric algorithm. Obviously, his research is inefficient, high input and low output compared with today's computing technology, but it also inspires future generations to study pi and actively seek calculation methods. Later, someone successfully developed another more effective method, namely analytical method, and improved the calculation of pi? Value efficiency. At that time, an outstanding mathematician named Ramanukin in India discovered two formulas. He made full use of these two formulas and soon worked out more than 100 digits after the decimal point. Compared with the method used by Rudolf, the calculation efficiency is not only improved by a hundred times.
Now that computers have appeared, mathematicians make full use of them and constantly reason and calculate on them. Obviously, the super-fast computing speed of computers is what mathematicians value most. They input their derived formulas into the computer and perform numerous simulation operations, hoping to find the simplest calculation formula. Many things happen, McKin formula and Gauss-Legendre iterative algorithm are developed, and these formulas are implanted into computers, so people use pi more widely.
Both methods can accurately calculate pi, and each has its own characteristics. Mckinn formula is a formula. In Gauss-Legendre iterative algorithm, the initial value is given first, and then the iteration is repeated to make the numerical value more accurate.
Mathematics is developing, the unknown is waiting to be explored, and we still need to work hard.