A knock at the doors of Sylvester medal

I dream of a knock at the doors of Sylvester medal.

Here is what. I believe. 

One percent chance on better sports ability

 Here is another expression which fetches 2^k binomial form.

So a lot many 2^k equivalent expressions. But in infinite series.

Infinite series are nothing great. To me it means always there. To mathematicians it is convergence. 

But one thing is certain. There is one percent chance that better sports ability can result with these expressions. Modi sarkar, ab to kuch karo kam se kam.

Let us move ahead. You, me and everyone. Let the government mechanism assist betterment.

It is high time.

Wishing you a nice day ahead !!

This expression on 12-05-2022

 I am presenting this expression today (12-May-2022, India time). This is another binomial expression of 2^k types. This is the fourth binomial expression of the type 2^k.

Newton made just one binomial expression of the type 2^k using (1+n)^k binomial expression. But Sir Isaac Newton made a finite series. All the four binomial expressions of the type 2^k of mine are infinite series. So if Newton gets 100 percent marks, I get 85 percent marks. But you need to know one opinion on Newton. Stephen Hawking had a dislike for Newton. This point is very important. So, should you have respect for Newton is the question.

Of course, my sincere thanks to Wolfram Alpha for making this expression possible.

Have a very nice day, dear readers !!

Indigenous Binomial Formula

Indigenous is the mantra of India, since India became a Republic. In this regard I made an indigenous cosine formula. Here is the link

I have made practical contributions too for India's indigenous objective. In music. I am talking of dafli playing and music scale.

Below I submit another indigenous formula. This time for the binomial 2^k.

This formula is very important and will improve sports performance, improve lifestyle by better acceleration of mindset, removing laziness from its roots and other benefits.

Two indigenous formulas one on cosine and one on 2^k made. Let us move on by 'Make in India' method.

This expression on 11-05-2022

 I am presenting the following two expressions on 11-May-2022.

These two are not exactly consecutive numbers. But I term them hour glass consecutive numbers. And the term is so apt like an English definition. Because the three consecutive hour glass expression gives zero. And the four consecutive hour glass expression gives -(1/2^k).

Amazingly beautiful. Made possible by Wolfram Alpha.

Have a nice day !! Enjoy your day !! 

So near yet so far

 First of all, I express my indebtedness

Earlier I had what I stated as "Swimming theory", or "Efficient walking" or it was #PythaShastri mantras like 1,3,5, 8, 10 or so on. I would put these theories and mantras in expression format and typed it in Wolfram Alpha. And I learned mathematics that way. Great days they were !! 4-5 years back!!

Wolfram Alpha, simply put has blessed me with mathematical knowledge.

This post is of two expressions. Of phi. And of pi. They are similar. Yet they mean so different things. Look at the similarity and look at the difference. You will surely love them. 

Have a very nice day !!

Foot Thumb

My three fingers and four fingers have resulted in many useful theories. Theories which are useful to not only technologists, engineers and technocrats but to scientists too. I do not want to list out the theories here as I want to focus on more important reason.

The thumb of the hands are better explained by slope of calculus theory. So I believe. If you are with me read further.

But what about the thumb of feet?

I believe the thumb of feet has a role as great as the thumb of hands. One does not realise but one can understand because there is symmetry in nature.

What could be the theory of thumb of feet?

At present I have two expressions. They are

While there is a pattern in the first expression; there is no such evident pattern in the second one. However Wolfram Alpha is able to dissect both the above expressions and is showing results.

I wish to state that I am not able to understand how 1) Wolfram Alpha solves the second expression 2) How to proceed in the second expression.

If I can be helped in any way please do. My thirst is quite high.

Or is the voice over internet is not heard? Or does it fall on deaf ears? Or is internet a dead media? Or you do not want to help?

I do not have clarity in this regard.