Micro-challenge: Special Event

[Thomas Klemm]

(01-02-2023 09:16 PM)Albert Chan Wrote:  BTW, there was a typo, the number have no radix point.

Believe it or not, that was on purpose.

(01-02-2023 09:16 PM)Albert Chan Wrote:  How does this identity derived?

Quote:It was derived from the Leibniz series (16.59) without great effort if one just uses the Euler transformation [76, p. 255].

\(
\begin{align}
\pi = 4 \left(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + - \cdots \right) \\
\end{align}
\)

76. Konrad Knopp, Infinite sequences and series Dover Publications, New York, 1956

From: \(\pi\) Unleashed, p. 78