Tuesday, March 6, 2018

Obedient, disobedient, more disobedient and most disobedient

Encyclopedia volumes 1 to 10 are scattered on the floor.
Mother Neela wants her son Ravi to help her to keep the encyclopedias back in the shelf.
Obedient Ravi
Neela says pass on the volume 7, Ravi. Ravi hands over the volume 7. q=1/10. Obedient.
Disobedient Ravi
Neela says pass on the volume 7, Ravi. Ravi hands over volume 6. Neela says hand over volume 4. Ravi hands over volume 9. And so on. In the end only one volume is there in the floor. Say volume 5. Neela says hand over volume 5. Ravi has to hand over volume 5.
Disobedient Ravi. Tamed by situation.
q=9/10, 8/9, 7/8, 6/7 etc.
More Disobedient Ravi
Neela says pass on the volume 7. Ravi hands over volume 4. Neela again says pass on the volume 7. Ravi again say volume 4. 7. Say 4. 7. 4.q=1/10 is the requirement. 1-q is the response. Twice 7. Twice 4 is the response.
q^n is the requirements. 1-q^n is the response.
Most Disobedient Ravi.
Neela says pass on the volume 7. Ravi hands over cup and saucer. Or spoon. Or mobile. Or just about anything. But a volume of encyclopedia. How to make mathematics out of this? (1-q^n)^24?
(To the power 1/24 is music scale for small wind musical instruments like mouth organ or flute. Lowest distinct music)
(See Ramanujan tau functions!!)

6 comments:

  1. (1-q^n)/(1-q) gives rational numbers and sometimes whole numbers. This is interesting series.

    ReplyDelete
  2. I was mad with 24 for the last 5 days. Why 24? And not 12?
    First of all 6 is a circle. A dot. Something. (Due to hexagon which is simple to draw. With radius. And seems a circle)
    If the circle is persistent then 12 or 1/12. In a number expression for circle thing.
    If it is more persistent, then 24 or 1/24.


    ReplyDelete
  3. (1-q^n)/(1-q) is really beautiful. I don't remember what's this expression for.

    ReplyDelete
  4. I had already done disobedient ravi. As a puzzle.

    ReplyDelete
  5. Ramanujan tau functions are about the feeling the most Disobedient Ravi has. When he hands over a spoon or a saucer or just about anything; he feels like giving a copy of encyclopedia.

    ReplyDelete
  6. Ramanujan notebooks should be a very valuable possession. One can learn the intricacies.

    ReplyDelete