Showing posts with label Pi. Show all posts
Showing posts with label Pi. Show all posts

Wednesday, March 13, 2024

How GenAI models like ChatGPT will end up polluting knowledge base of the world.

Around nine years ago, around the PI day, I wrote a blog post about an ancient method of remembering digits of pi. Here is the link to blog post.

Here is the operative part of the blog post.

The code is as follows.

123456789
क ख ग घ ङ च  छ  ज  झ 
ट ठ ड ढ ण त थ द ध 
प  फ  ब  भ  म  
य  र  ल  व  श  ष  स  ह  क्ष  

With the above key in place, Sri Bharathi Krishna Tirtha in his Vedic Mathematics gives following verse.
गोपी भाग्य मधुव्रात  श्रुङ्गिशो दधिसन्धिग  |
खलजीवित खाताव गलहालारसंधार |
If we replace the code from the above table in the above verse, here is what we get.
31 41 5926 535 89793
23846 264 33832792
That gives us 

Today, I asked ChatGPT this question.



If you look at the details explanation provided by ChatGPT, it is completely wrong. What I picked up is from a book on the topic. Once more and more such content floods internet, it will become extremely hard to decipher what is right and what is wrong. Furthermore even academic text being written in future would consist of ChatGPT created stuff.

Unles GenAI can provide traceability to the source material, I don't think it is worth giving the attention that it is being given.

Wednesday, March 18, 2015

Katapayadi system of verses


As I am researching the π, I find interesting ways ancient indian researchers described their findings. One such methodology used is Katapayadi System of verses. It is basically an system of code so that things can be defined in a way so that people can remember. The code is as follows.

1 23456789
क  ख ग घ ङ च  छ  ज  झ 
ट  ठ ड ढ ण त थ द ध 
प   फ  ब  भ  म  
य   र  ल  व  श  ष  स  ह  क्ष  
With the above key in place, Sri Bharathi Krishna Tirtha in his Vedic Mathematics gives following verse.
गोपी भाग्य मधुव्रात  श्रुङ्गिशो दधिसन्धिग  |
खलजीवित खाताव गलहालारसंधार |
If we replace the code from the above table in the above verse, here is what we get.
31 41 5926 535 89793
23846 264 33832792
That gives us \( \frac{π}{10} = 0.31415926535897932384626433832792\)

Apprantly this methodology of remembering digits of π has a name. It is called Piphilology.
Piphilology comprises the creation and use of mnemonic techniques to remember a span of digits of the mathematical constant π. The word is a play on the word "pi" itself and of the linguistic field of philology.