Self - Guru

I do not comment on master artists much. Like Andrew Loomis, for example. However I do recommend their names. I do not comment because I may be different than the master and I do not wish to comment making my own suggestions.
The idea below is my very own. So I am attaching the paper.

Paperless Society

What is not being Paperless?

1. Scanning paper and posting the scanned paper to server and keeping both the paper and scanned image is definitely not being paperless.
2. A non-collaborative writing in office in a piece of paper is not moving towards being paperless.
3. Writing opinions in a piece of paper without data supporting it is not moving towards being paperless.
4. A write-up lacking clarity and which does not have block-diagram or a flowchart when required is not moving towards being paperless.

What is moving towards paperlessness ?

1. Using Microsoft Office in collaboration
2. Using OpenXML standards
3. Using Microsoft charts in Microsoft Office documents 
4. Having Office online and a big name over Internet

Mathematicians

What comes to my mind

I have great quality in mathematics. Karpov level.
I am in a position to read Euler. And understand German mathematicians.
I thought of taking up charcoal drawing. Because my interest was in faces. But then I restricted myself to pencils. Did not buy charcoal drawing set.
Then I need to study perspectives and draw better folds in drawing.
Chess improvement is almost impossible with chess game app. I need to play with people.
In dafli I am planning to increase the number of dafli fills.
Violin, guitar interests have faded. Completely.
Partying was never my interest. Get together is also nil.
I can think of many things like self grooming, car cleaning and home maintenance etc.
Have a nice day, dear readers.

Caricatures improved

I was practicing on caricatures these days. I was not comfortable with the 3d look in them and followed Andrew Loomis method very carefully. Thanks to Andrew Loomis for his wonderful book "Drawing head and hands". The book is excellent and it took a while to pick up his concepts.
Now I am a bit more confident.
So, here is some caricatures I drew today:-

Caricatures

I always drew caricatures with face facing straight. Then today a thought came up. I was always confident in side views. But straight I was not. Then I thought mix these two and draw 3/4 views.
The above caricatures I made just now. From memory. The above have simple lines. But I plan to extend them to highly complex 3/4 views. In coming months.
So I have frozen my art desires. Caricatures 3/4. Cartoons.
Best wishes to all of my blog readers.

About some pi expressions

Most of the formulas for pi are based on mathematical functions. But a few of them are not. These are driven by intuitions and are based on numbers, prime numbers or square roots.
Here are some of them :-

Two of them from Euler. And one from Viete.
Yesterday evening I was thinking hard on root 2, root 3, root 4 . . . . . . etc.
Then I found that

The 12th term was 0.25908. The 13th term was 0.52634. Their average is 0.39271. And 0.39271 is about pi/8.
The results in Wolfram from root(2) to root(5000) and root(5001) are:-

The average sway is (0.40217207+0.38803135)/2 = 0.3951017. It is pi/7.95135.

So the sway remains at about pi by 8.

Indeed the Gauss Error Function observed here.