Focused cosine hatching

Inspired by DaVinci,  I get my theory right first. I am talking of art, here. 

As I understand there is a problem with art. The space is 3 dimensional and the paper we draw on is 2 dimensional. 

In short, one needs to handle perspective,  convex planes, concave planes, surface flaws, nature gifts like mole and more.

And above all resemblance is necessary. 

And colors. 

Colors I won't be able to do much because of my age and genetics. 

I shall improve my resemblance. 

I shall do cosine hatching with focus and changing focal points more suitably.

Have a nice weekend,  blog readers!!

Shagun

Shagun is the money given during auspicious and good occasions like marriage, birth or religious purposes. 

Many people give 101, 1001 or 10001. 

We give 108, 1008 and 10008.

I have used the function below and tested them for n at 786, 7860, 78600 and also at 100, 1000 and 10000.

And this is what I got

And people are making business with 1 rupee coined envelopes.  They are playing with 786 number of Islam.

Nehruji,  Indiraji and Rajivji. You owe an explanation to people of India.

Jai Hind !!

Three books ordered

I have ordered three books on art from Mumbai.  

I wanted the book by Pratap Mullick. And ordered Townscape and figure drawing book too.

Temptations in art die hardest.

Mumbai is blessed with good artists and I have accepted them as my gurujis.

Have a nice day !!

10 fingers model

I want to extend my Rational number series or consecutive numbers theory to 10 fingers.

This is my model.

I believe this is great in least common multiple research.  Here are the results. 

Have a nice day!!

Pairi pauna, Euler ji

Euler gave the beta functions 

I was wondering on 1 of (z1 -1) and (z2 -1). It will lead to 1/t(t-1). 

He saw 1/n(n+1) centuries back. And I thought I came up with something significant. 

Eulerji tussi great ho . Pairi pauna Euler ji.

Career karaa do fit they bandhaa ban jaana hit. Eulerji !! Ithhe SAIL wich !!

I am fortunate that blessed with the illumination of Euler I managed foolish expressions.  Last six years. 

Have a nice day dear blog readers!!

130/200 marks for my gamma and beta understanding

Truth is important.  Satyameva Jayate.

Gamma

Hand is our truth. Hand has fingers. Thumb and other fingers. (n-1). Recursive is necessary.  (n-1)!

Beta

Paper is our truth. We spend time.  t. We leave blank. (1-t). Euler gave numbers through e to the power i into pi. So t and (1-t) to the power complex functions. 

Marks deduction 

(Complex number -1) is not so clear. Not clear that Gamma can also be of complex numbers.  Lot of assumptions.  It is philosophy.  

I feel 130 out of 200 marks. For Gamma function and Beta functions. 

Kids. Can I pass exams 😫?

😆😆😆😍😍😍

Practical spiritual life

Practical spirituality is a must.

Patanjali came up with lot of Practical spirituality.  Yoga, kriyas, pranayama. All these are very practical steps for betterment.  

Soham utterance and breathing of Art of Living cleanses mind clutter. It is very good.

Scholars need to concentrate and improve focus. I feel repetitive prayers like gayathri if done by alternate closing and opening of eyelids helps achieve sharpness of brain. 

Is Isha yoga good? Does it have practical spirituality? Simple steps and quantifiable results is what I mean.

May God be with us 🙏. 

My binomials have recursiveness

My binomials have recursive property.

Here is a Wolfram screenshot to confirm this. The binomial terms on the LHS are a by b whole to the power of x type in both numerator and denominator. The RHS also is a by b whole to the power of k.

You may recall that my binomials if divided for sigma till n by sigma till n-k gives a by b whole to the power of k approximately. Below is what I mean to say 

What I mean is below

And here are screenshots to confirm that my just above statement is true

Have a nice day !!

The difference may reach to hell

There is a difference in the calculus of Newton and Leibniz. Leibniz calculus is limitless differentiation. While Newton differentiation as denoted by dy/dx is limit as delta x tends to zero of a function of x denoted by y.

I am interested in Gamma and Beta equivalence. Gamma functions I understand well. Beta?

The place where my office is; is very dear in cost. It will be suitable for International buildings like G20, UN, World Bank etc. East India needs international representation urgently.

Goodbye for now !! Have a nice day !!

Communication with VIPs

Secretary,  Ministry of IT

I managed to meet him and told him about my ideas on Indian languages translation.  And told him I am interested in taking up a project. That was ages back.

Sudhir Ghorpade,  IIT Mumbai 

When my paper was rejected,  I tried to impress him with a return email that my ideas will come useful in prime numbers. 

And today I do have a decent methodology for prime number generation. 

Ritabrata Munsi, Statistical Institute,  Kolkata 

When my paper was rejected I tried to impress him that there is a pattern in Rational number series.

And today I have approximate  binomials and Arithmetic Geometric Progression equivalence. 

That is how it is. My fate. No complaints. 

And I didn't get promotion this time. I shall inspect where I am wrong. And try next year.

Have a great day dear readers.