New sets of questions

What are valid binomial expressions?

Valid binomial expressions are those which has a term extra in one of the sides. In Newton binomial expression of (a+b)^n; we use sigma operation for binomial and to the power terms for a and b. Right. The binomial term and to the power terms have k in them apart from n. So k is extra. So this is a valid binomial expressions. 

Okay.  Do anybody have binomial expressions apart from Newton?

Yes. Abel has done them. I believe Cauchy too has done them. Possibly Euler,  Gauss have not done binomial expressions. 

But you have done them A term extra on one side. Is it not ?

Yes, there are a few binomial expressions of mine with a term extra on one side. They have combination or binomial term too.

That means. You are in the category of Newton,  Abel and Cauchy.  Accept it with a loud thump of fist in your chest.

No way. I feel my expressions are weak as compared to Abel. And I believe in Jesus and Holy Bible do not teach proudness. I won't thump my fist on my chest and feel proud.  No.

Your portraits are coming out good. Be proud. Your songs are good. Have pride in your abilities.  Develop ego. Be like Mogambo of Mr. India.

Portraits,  songs and binomials may be good. But I am like Ilaiyaraja sir.  I am not proud. I have no pride. Sir Isaac Newton was also like that. Remember. 

Thanks. 

Thanks.