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!!)

19 comments:

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

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  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.


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

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

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  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.

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

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  7. If your personality trait and mental thinking is that of most disobedient, then you are likely to be an inventor. (Needs citation from experts).

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  8. Thanks for visiting my blog and kind words!
    You have many awesome places
    I will be visiting soon hopefully.
    Will be back to read this post
    Blessings

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    Replies
    1. Thank you baili.
      You are gracious and kind. Thanks for visiting my blog.
      You are most welcome 🙏.

      Delete
  9. Of course, our behavior should have some boarders. Nice.

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  10. Yes, behaviour changes as per mood and situation. Good read.

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  11. Prof. Hardy gradually developed in Ramanujan accepted concepts of numbers.
    The above, I think is one of them. Now named Ramanujan-Tau function. The concept is mainly when we look at heap of potatoes one can only count (numbers) potatoes. Not onions.
    Then there is Ramanujan Theta function.
    Prof. Hardy guided Ramanujan and spoke of a to the power of AP into b to the power of AP. AP arises from modern musical concepts like keyboard. Multiplication due to number multiplication which are a reality.

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  12. These are functions. And agreeable to mathematical societies in UK.

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  13. Ramanujan was clever and most intuitive to come up with Ramanujan Mock Theta functions.
    He was worshipper of Goddess Laxmi and truly must have been very intuitive of numbers.
    He came back to Kumbakonam (my native place) his father's place and worked on Mock Theta functions. These were his last works.
    Ramanujan died and was cremated in Hindu fashion despite he crossed seas. Rogue Iyengar pundits created shame in those days !!

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  14. Many people criticize Ramanujan and say his 1 by pi formulas do not get us the desired results.
    This is mainly due to the fact that numbers growth like 1 to 2 , 2 to 3, 3 to 4 were not acceptable to Ramanujan.
    Ramanujan is too good. Unnecessarily criticized by many. Dr. Manmohan Singh is not a fool to have made National Mathematics Day being commemorated on his birth anniversaries.

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