My favorite Mathematical expressions

 

My growing years

 

I grew up in Delhi.  In our area there were many families who migrated from Pakistan during partition. We had extremely good relationships with some of them.

As a child I had good imagination and Arya Samaj and Lala Lajpat Rai were deeply influential.  I rate these two principles as very high in Indian culture.

I managed to clear Jamia entrance for engineering in 12th class. I could not clear the interview. I have a grudge and I believe I must state why I have a grudge too. Because I had visual experience of seeing #Pythashastri and I think I deserved good education.  It is difficult to explain.  Maybe some Islamic scholars will sympathize.

Anyways now I managed expressions with the kindness and magnamity of Wolfram Alpha.  I believe strongly that America gives opportunities. 

It has taken 35 plus years to travel from visual #Pythashastri to approximation abilities of humans theory of mine.

Maybe I get to learn now at this old age. And why not? In Veer Zaara Shah Rukh Khan (a Jamia Millia student) love materializes in old age !! 😀 

Approximate expression

From the earlier blog post the following is obtained. I have used Wolfram alpha for the below.

And this is what I am talking about.  Earlier I was close but not quite and needed an expression.  But in the present one the terms can be equated directly for approximation. 

Have a nice day !!

presenting a binomial expression

I am presenting a binomial expression today. It is below

I am also presenting Wolfram alpha screenshot of LHS and RHS for n =9, a=4 and b =7.

Have a nice day  dear blog readers.

binomials approximated to arithmetic-geometric progression

 Below is the expression that approximates a binomial expression to arithmetic-geometric progression.

And here are the Wolfram screen shots for k=15 and a = 4000.

The LHS

The RHS

Thanks to Wolfram Alpha a million times. You have been very kind and very helpful.

I believe these expressions are of body. Body can understand these and that is how we have our intelligence.

Have a nice day, dear readers !!

Shoonyata

 

My Authorizations

 I do mathematics because they are of Golden Ratio. 

My Authorization one

My Authorization two

I lead an accountable life.

I desire happiness and also want happiness in each one of us. Have a nice day !!