- #1
Sam_
- 15
- 0
Hi, can you please explain to me how Ramanujam got this formula for pi.
Thank you.
Thank you.
Ramanujam's Formula for Pi is an infinite series expansion that approximates the value of Pi, the mathematical constant representing the ratio of a circle's circumference to its diameter. It was discovered by the Indian mathematician Srinivasa Ramanujan in the early 20th century.
Ramanujam's Formula for Pi is unique because it converges much more rapidly than other infinite series expansions for Pi, making it more efficient for computing the value of Pi to a high degree of accuracy. It also has a beautiful and elegant mathematical structure that has captivated mathematicians for decades.
Ramanujam's Formula for Pi involves a combination of trigonometric functions, infinite series, and complex numbers. It can be derived using complex analysis and has connections to other mathematical concepts such as modular forms and elliptic functions. However, the exact mechanism behind its success in approximating Pi is still a mystery.
Ramanujam's Formula for Pi has significant implications in the fields of mathematics, computer science, and physics. It has been used to break world records for calculating the most digits of Pi and has also been applied in the development of algorithms for digital signal processing and cryptography. It has also inspired further research and discoveries in the field of number theory.
No, Ramanujam's Formula for Pi is not the ultimate solution for calculating Pi. While it is a remarkable and efficient method for approximating Pi, it is not a closed-form solution and requires infinite terms to achieve exact precision. There are other approaches and formulas for calculating Pi, and the search for a perfect and elegant solution continues to this day.