I deeply apologise for using the tag #PythaShastri. I used this tag because it was true in my nature. Secondly I wanted to reduce ego. And the third reason is as a prayer to God.
Pytha had two meanings. Pythagoras and pythium(tamil word meaning mad). Shastri is a Brahmin or a learned man ( Indian meaning passed over ages).
I will definitely not be using this tag ever from now onwards.
But before that I make the following claim:-
"I bet 1000 to 1 that the series 1,3,6,10,15, . . . is the best series if we have to use numbers for estimating."
You can argue with 1,2,4,8,16 . . .
Or argue with 1,1,2,3,5,8 . . .
(Mathematically odd series 1,3,5,7 . . . and even series 2,4,6,8, . . . do not fall in the argument as they are manifestation of natural numbers)
So first of all do not be confused. Leave the natural number series alone. And think about the other series. And consider my claim.
(Hint: You can use the classic scales and weights puzzle here. The puzzle was what are the weights needed to weigh any weight upto 100 kilos?)
In simple words, I claim my method may be the best one.
Pytha had two meanings. Pythagoras and pythium(tamil word meaning mad). Shastri is a Brahmin or a learned man ( Indian meaning passed over ages).
I will definitely not be using this tag ever from now onwards.
But before that I make the following claim:-
"I bet 1000 to 1 that the series 1,3,6,10,15, . . . is the best series if we have to use numbers for estimating."
You can argue with 1,2,4,8,16 . . .
Or argue with 1,1,2,3,5,8 . . .
(Mathematically odd series 1,3,5,7 . . . and even series 2,4,6,8, . . . do not fall in the argument as they are manifestation of natural numbers)
So first of all do not be confused. Leave the natural number series alone. And think about the other series. And consider my claim.
(Hint: You can use the classic scales and weights puzzle here. The puzzle was what are the weights needed to weigh any weight upto 100 kilos?)
In simple words, I claim my method may be the best one.
10 comments:
As far as I understand my argument and case falls in the realm of Indian Military.
6,10,15,21,28,36 seems ok. For measuring any weights from 1 to 100.
For measuring 1 to 10.
1,3,6
For measuring 1 to 20.
1,3,6,10
For measuring 1 to 30.
1,3,6,10,15
And so on . . . .
Estimation is not just calculation but imagination. You not only figure out and try to extend a graph; but you imagine how things are going to be.
And that is the way our brain works. Imagination and calculation.
And that is precisely what we do in 1,3,6,10, 15 . . . . .
Yes, 1,3,6,10,15,21,28,36 (total 8 weights) needed for measuring upto 100 kilos.
Using patterns with 1,3,6,10,15 . . . is easier.
If used with software better patterns can be made.
If 1,2,4,8,16,32,64 . . . is too good. Or for that matter 1,3,9,27,81.
My aim was to give a puzzle. One cannot deny that lesser weights are needed in 1,3,6,10,15,21,28,36.
My mindset is not very logical at this point of time.
I am interested in expressions which will increase the numerator and denominator by one. Like p+1/q+1.
Is there any pattern in p+1/q+1 - p/q ?
I think I did p+1/q+1 = 1/(q+1)(1/2!+2/3!+3/4!+. . .) when q is larger than p.
I believe an increase by 1 in numerator and denominator is the real meaning to the growth in population.
Many may say divide and rule. I don't know. But that's how I feel.
Population apart; let's come to scales and weights.
For measuring upto 100 kilos, there's nothing to beat 1,2,4,8,16,32,37 (2^n) or 1,3,9,27,60 (3^n).
For measuring 10 or 20 there's nothing to beat 1,3,6,10. I am not sure you all agree. But possibly for body 1,3,6,10 is important.
Now make the body double. 1,3,6,10 (20) and then 40 and 80.
That is 1,3,6,10,40,80 is an impressive series, I think.
Your views?
I have finalised my mindset for the scales and weight
1. First is 1,3,9,27,81 . . . (3^n series)
2. Second is 1,3,6,10,30,60,100,300,600 (part of 1,3,6,10,15,21, . . . series)
3. Third is 1,2,4,8,16,32 . . . (2^n series)
Looking at things in a neutral way 1,3,6,10,15,21 .:. . . has potential.
Moreover, I have good knowledge in constants and am competent and have confidence. Any takers?
I want to devote to developing expressions. Great expressions. Like Ramanujan tau functions or Ramanujan theta functions or Ramanujan Landau or Ramanujan Soldner or Harishchandra transforms.
Can I get help?
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