Thursday, July 5, 2018

#PythaShastri and 1/n

1 to 2. The rise is 2-1/1.
2 to 3. The rise is 3-2/2.
3 to 4. The rise is 4-3/3.
There are two points to ponder
One there is a feel that 2-1/1 is equal to 3-2/2 which in turn is equal to 4-3/3.
Two this could go on forever.
The above two clearly authorizes 1/n stuff.
And I with Wolfram widget have reached euler expression.
What further can be done?
Pi/4 = 1 - 1/3 + 1/5 - 1/7 + . . . (Madhava of Sangamagrama)
Pi/(3 × square root 3) = 1 - 1/3 - 1/4 + 1/6 + 1/7 - . . (# PythaShastri)
4 and 3 × square root 3 shifted by - and number placements. A matter of Indian research?
Pure Indian wind it is.

1 comment:

Kirtivasan Ganesan said...

This I believe to be -i. Persistence. Persistent -,+ terms. The real part. India. Diversity.