My favourite batsmen in cricket

My favourite batsmen in cricket are :-
1. Vivian Richards
2. Martin Crowe
3. Ricky Ponting
4. Inzamam -ul - Haq
5. Mohammed Azharuddin
6. Zaheer Abbas
7. Rohit Sharma
8. A B DeVilliers
9. Virat Kohli
10. Sachin Tendulkar
Dear readers, who are yours?

My final destination

I have reached my final destination.
And the final destination is the ceiling function and the floor function.
It is difficult to explain in words. But the ceiling and floor functions explains everything to me. A yin and yang sort of concept (Chinese).
I can visualise everything in mathematics of 18th and 19th centuries. The modern mathematics is different. And there are so many fields in mathematics today. What I am talking of is sigma, serieses and foundations of calculus. And with respect to names; I am talking of Gauss, Euler and Ramanujan.
All of us are staying in home. Many think of economic revival. I wish to state this. Think of resources. Not economy. But resources.
I am doing sandhyavandanam with more gayatri japas. I have a military mindset and I believe prayers are easy and will be most effective contribution. My personality is like that.
Jai Hind !!

Onward Ahoy !!

The master artists are too good.
If we take Andrew Loomis. Then he is so good. I have two of his books in hard bound. He has written very well. Below I present a portrait of Einstein by Andrew Loomis.

It is a portrait of Einstein. It is not a caricature. Portrait is an accurate depiction of the subject; while a caricature is an exaggeration.
Let us take Tom Richmond. He is so good. I have his book on caricatures in book form. He has written well his points of view on all aspects of caricature. Below I present a caricature of Einstein by Tom Richmond.

The caricature is so good. It is so well exaggerated. And it has the right amount of humour too.
I wanted to compare with the above two. I too drew Einstein. Well, I did not know, whether to draw a portrait or a caricature; but drew something. Here is my attempt.

I want to improve a lot. I do not know the way. Maybe draw objects around you to perfection. Objects like scissors, utensils, shirt, padlock etc. Or maybe I need to do what I have done below. 

Practices of basic form of faces.

Anyway my intentions are clear. Onward, Ahoy !!

Self learning ahead in mathematics

There are specifically 2  areas I shall be focussing on in my self learning journey of mathematics. They are:-
1. Elliptic functions - Elliptic functions are damn important. Jacobi, Abel, Weirstrass, Gauss views and theories are crucial.
2. Pochhammer symbol and acceleration and deceleration - This is my idea. And I wish to study the shift in Pochhammer symbol due to squares and square roots.
Complex functions are important. And I wish to learn this topic too. 

A hint of the Gauss constant

I wrote earlier why 1.414 .... And not 0.414... So also for why 1.732.... And not 0.732.... in my "The other day" blog.
Below I present 2 screenshots. First is the continued fractions of
 1+ 1/(root(2)+1/(root(3)+.....
The second is 1.53... divided by 0.8346 which is the Gauss constant. The result is 1.83....
So in a way I have shown why 1 is added. Using Gauss constant.

How about this ?

(It is a privilege to see Gauss constant. Gauss is really too good and very high. Gauss is considered the greatest mathematician by many guys over internet. He won the Copley medal too. Wow !! I feel honored to see Gauss constant...... though partly !!)

I feel there are many criticism on 0.8346 and 1.8346 results with continued fraction of the type root (n). 

Why it is not accurate? 

It is not meant to be. Ceiling and floor are to be used.

My result demonstrates the enormity of the Gauss's constant G. It includes the explanation of initial value in continued fractions and also the ceiling and floor functions.

In fact 0.8346 and 1.8346 result is as beautiful as 22/7 of pi.

Tilted Heads

Drawing a tilted head was a major milestone for me. Now, I have gained some confidence in drawing them. Andrew Loomis book has many tilted heads drawing. But they were difficult to practise. Now, I am reasonably okay with them.
You may be aware that I have two books written by Andrew Loomis. Both of them hard bound. They are "Drawing Heads and Hands" and "Successful Drawing". These books are really great. Andrew Loomis has so much to write about. It is amazing. Of course, his drawings are just superb and he is a great teacher.
His quote "To learn to draw is to draw and draw and draw" stresses how important it is to keep drawing. I owe the 3d look in my caricatures to the teachings and method of Andrew Loomis.
I shall be drawing :-
1. More and more and more faces and tilted faces till I get accuracy and humor vis-a-vis a real face.
2. More and more and more hands till they look convincing.
3. More practices on perspectives.
4. More practices on light and shading.
All the above with pencils/ charcoal pencils. And the methods of Andrew Loomis.
Till then, here is wishing all the best to my blog readers.

Thanks Brustro

Caricatures with charcoal pencils are enhanced when one uses Brustro kneaded eraser and Brustro blending stumps.
Look how smooth the shading becomes and how improved the caricature becomes:-