My binomials results

I made a binomial statement.  It is below.

There are three approximate results from the RHS which are interesting.  They are below.

I feel humans are meant to be approximate.  This is a divine nature of a man and a woman.  

I have grouped three major ideas in my last three blog posts. Timing, pi and approximate. 

I want to work on them. Let's together make it. 5G is happening here in India.  Let's make a team of closer 5G group. Measuring Behavior equation may be of interest.  Those who think what is being fair are together. 

Have a nice day dear blog post readers 😊!!

My pi results

When one says pi by 4, immediately the Madhava of Sangamagrama formula crops up in mind.

When one talks of 1 by pi, the formulas of Ramanujan are thought of.

And pi by 3 into root 3? You must think of me. Kirtivasan.  😆😆😆🙏

Here are three instances of pi by 3 into root 3.

I want to develop deep mathematical reasons for why they are all equal. But unable to do so. And I have a lifetime ahead to read books and try and develop reasons for equivalence. It is very difficult for me to say why the three expressions are same.

However I would like to make a guess on intuitions. Remember my work on lifting okras with left hand. They were of gamma functions (n-1)!. So one expression is the gamma function activity of the hand. The other two are the fingers. Three consecutive and four consecutive fingers. I feel the golden ratio "speaks" of gamma function through pi constant. And it is of hand.

Have a very nice day dear buddies.  Be in great mood. Good things will happen. If nothing we shall together make great things.  

Stay with me !!

The hour glass tilts upside down

First things first. If infinite series gets equated to a finite series it is indeed a matter of time. More so if it involves binomials. 

The first expression is hour glass on one side.

The second expression is hour glass tilted upside down from the first expression. 

Both the LHS and RHS show hour glass tilted upside down.

Have a nice day !!

The timings

An infinite series is a thing which to me is "always there". When we talk of measuring behavior for example. 

A finite series is a snap.  An expression which stays for a limited amount of time. I have made some finite expressions earlier.

Here is an equation below which has infinite and finite equivalence. I wish to state that infinite and finite equivalence exist. Permanance can be quantified to finite terms. 

2 to the power k is sigma of n from  0 to k of combination (k,n) is a finite form.

32 is 2 to the power 5. 128 is 2 to the power 7. And 256 is 2 to the power 8.

Here are the six expressions which is infinite to finite equivalence. 

What I mean is 

Also if the terms are reciprocated the infinite sum becomes 1/2^k.

Kindly check before accepting. 

Have a nice day !!

Stockfish 4 level

I am able to beat Stockfish 4. But need to play with concentration till end.

From February onwards I shall take on Stockfish 5. In this month I shall work on beating Stockfish 4 more convincingly.  

In online chess games I play with 1600 players.  The results till now are 50:50. I win and loose in equal numbers.  So I shall play with Stockfish which to me is a better option. 

My score in Russian Grandmaster lessons app. Endings - 70%. Strategy - 69%. Mate in 3-4 - 89%.

Hope you have a nice day!!

My future plans

The below statement is great on the right hand side.  Symmetric. 

My plans are

1. More study on the above RHS binomial expression. 

2. Focus, study and try and understand "What is consciousness ". I believe it is a journey of an approximately correct man. 

3. Focus on the difference between the thumb of  feet and thumb of hands.

4. Try and get library cards of IIT Kanpur library for mathematical books. 

How I draw my To the point cartoons

 

I think of a joke first. The joke should not involve complex actions and difficult expressions.

Then I imagine in mind my art. 

Then I draw with Artline Drawing System gel pens.  If the drawing is difficult then I draw roughly with light pencil and then use my gel pens.  I draw in normal A4 sheet.

Then I color the drawings with Staedtler Luna watercolor pencils. 

Then I take a bowl of water and dip a art brush in it and spread the watercolor pencil shading.

I allow the drawing to dry.

Later I take a snap with my mobile camera and edit for size.

I upload the photos suitably in blogs and type the joke below the drawing .

That's all.

I don't use e-devices but paper and art materials .