Sunday, January 14, 2018

Arbitrary Faces

I am doing sample caricature these days. I have bought Faber-Castle sketching pencils and using these I have drawn typical face shapes.
I have to perfect these in real photographs. Musicians and politicians. Indian politicians are the second set of people I shall do caricatures of
I may do crayons also. After I perfect the above.

Tuesday, January 9, 2018

My favourite five internet destinations

My favourite five internet destinations are :-

  1. Google news
  2. Wolfram, emathhelp, symbolab
  3. Quora
  4. My bank site(SBI)
  5. Microsoft office
Flowcharts, bollywood music, caricatures, biography(not works) of mathematicians are frequented sites from Google search.

Friday, January 5, 2018

#PythaShastri Expression for Pi (π)

I got an expression for π. It was tough. It was daunting.
There are very few expressions for π.
So, here is my expression:-
π = 3√3(1 - 1/3 - 1/4 + 1/6 + 1/7 - 1/9 - 1/10 + . . . . . . . .)

Tuesday, January 2, 2018

#PythaShastri Why Euler was the greatest ?


Euler multiplied (prime number)/(nearest multiple of 4) as a series and declared it was pi by 4.

Euler took the Riemann Zeta function of s = 1 and made the term in the denominator if prime, -ve or +ve depending on a logic and declared it was pi by 4.

He made 1/(1- prime to the power -s) multiplication series and declared it as Riemann zeta function.

I felt the first statement 15%; the second 15%; and the third 20%. But no pen. Just thinking in the direction.

Euler-Mascheroni constant

Euler was able to express the real meaning of gamma and gave two methods (at least) for its calculation.

I felt 1%.

Euler did much much more. He was a genius machine.

Sunday, December 31, 2017

Further mathematics

  1. In numbers if n, n+1, n+2 are true; then n and n+2 are enough to say the presence of n+1. Similar to Madhava of Sangamagrama.
  2. If 1,2,3 are true. And 2 &3 are prime. Because 1/2 leads to decimal point or 1/10; P(k)/P(k+1) =10 is the truth of number system. Similar to my statement.
  3. Primes may be treated as primes. The prime may be considered negative in Riemann Zeta function for s=1; as a function. Similar to Euler.
  4. Folding or dividing is the root cause to actions and are complex numbers.
  5. Rational shops and rational numbers are truth but irrational number by irrational number too exist in nature and is accepted in mathematics. Why not irrational number by zero?
I wish everyone a happy new year.

Saturday, December 30, 2017

Puzzle - After a long time

Well trained and disciplined army men 100 in numbers are standing in a queue in their military canteen.
There are five counters A, B, C, D.
All the 100 of them are standing in counter A.
The corporal comes in and announces that the 100 of them need to distribute themselves and get themselves arranged in as few steps as possible in counters A,B,C,D 25 soldiers each.
Now the situation is,
A          B         C          D
100      0          0           0
What will be the situation in the next step?