Meanwhile . . .

Let me share my mindset.

I have three objectives in mathematics 

1. 4.6 to the power of (1 by x) betterment 

2. Relationship between n(n+1) and n !

3. Relationship between phi and pi betterment 

Currently unable to. Wolfram Alpha over internet not enough.  Need journals.  Need mathematical software.  Need resources. 

Art objectives are two in number 

1. Cartoon and comics

2. Portraiture and Caricatures 

Possible by self help. Have made plans. 

Musical songs too I want to compose. But multi-tracking is financially unviable. Also team for muti-tracking do not spring up.

Chess. No

Dancing.  No, no.

Public speaking.  Conversation skills. Do not interest me.

Acting. No.

Have a nice day !!

Vandermonde was brilliant

I rate these two relationship due to Vandermonde as brilliant.  Wow !! Fantastic sir !!

The first is called Cauchy-Vandermonde identity.  The second one is called Vandermonde identity.

I have product formula for combination(2n,n) and combination(2n+1,n).

I shall be working on your identity Vandermonde sir. The second one.

Have a nice day !!

Five elements to my art

I wanted to make the relationship between n(n+1) and n ! continuous; I wanted to make better the relationship between phi and pi in infinite series.

But am unable to. I tried collaboration with big institutes; but no initiative from them.

I have left mathematics for a while.

I am now into art. Concentrating on art.

I have defined five elements for art. Pi, phi, triangles,  shadings and textures.  These elements have to be realized every instant. The brain has to realize. The mind has to realize.  The hand has to realize. 

Of course you talk of art in terms of proportions,  perspective,  position too. But these are physical actions. The above five are psychology. 

So that's what it is that I plan to do.

Phi and Pi

 

Newton was far too good

In this lifetime, I managed to give consecutive number model. Based on Rational Number Series. These are my coined terms. These are good in infinite series. These can give a better world.

But Sir Isaac Newton was so far ahead. Cannot believe it. He gave functions. He gave calculus. He made Force laws. He explained the mechanism of the working of things. Most Amazing !! Words cannot describe his contributions. Far, far ahead. Simple models. Explained it all.

Nature works on infinite series. But do not know whether this is the truth. Maybe, relativity is the truth. Still I would say to understand working of nature in gravity based earth, consecutive number model based on rational number series is a good bet.

India do need nature principles which are gravitational earth based. To take better judgement, to try better social solutions, to dream of uniform methods.

Have a nice day !!  

phi minus 1 in infinite sum

I have made now (phi-1) in infinite sum method.

Here it is

Hope you like it. Have a nice day !!

Phi and pi both from product and sum methods

 Using product method and using sigma method I along with Wolfram Alpha have obtained phi and pi formula. 

Product 

Sum

Hope you like these!!