Sigma and Integral

The sigma operation came naturally to me. I made many expressions on sigma operations.

However, the integral operations did not happen. I worked on calculus yesterday night. I knew the basics. Then I managed to frame equations of similarity between sigma and integration. I took the help of Wolfram Alpha. Then I made expressions.

Here are the expressions.

Have a nice day, dear blog readers.

An expression on factorial

 Here I present an equation

I call it the walking man with arms and legs swaying in opposite ways. And its product gives factorial.

I hope you like it.

Have a nice day, dear blog readers.

Expressions on factorials

 Below I present expressions on factorials.

I hope you like them.

Have a nice day, dear blog readers.

Yet another finite expression

 Below I present three finite expressions on 1/(n+1). 

You may be aware of the following two infinite expressions on 1/(n+1)

But the one in top are finite expressions. Hope you like it.

Have a nice day, dear readers.

Equations at Ranchi

 

These equations were developed in Ranchi. They have been built from faith in God. I am just delivering his expressions. Just as no one realises that infinity is near to them; no one realises that God is still closer. 

I shall explain the significance:-

1. A finite sigma expression is damn tough. I do not know. Maybe infinite sigma expression is tougher. But I feel a finite sigma expression is tougher.

2. This combines the factorials with normal number in a mirror fashion.

3. This is an approximate expression that has been developed by sheer hard work. It took time. Understanding. But then it got developed.

4. I am taking the liberty to us comb(n,k). May I say it combines comb(n,k) with comb(k,1) in a beautiful way !!

This one is correct

In case there are errors in some of the equations, do let me know. Only this way can I correct myself.

Another expression

 I am presenting below another expression.

Approximate and Exact expressions

 

Expressions to stay cool during COVID-19

 COVID-19 is not going away. We must fight this pandemic by social distancing and maintaining and ensuring hygiene. It is better to be occupied with something.

Below are two expressions. You may verify them.

Have a nice day dear blog readers.

An Expression

 Can one write like this ?

This is another expression. 1/3 expressed in terms of 0.3+0.03+0.003+ . . . . . upto infinity. Even here the reciprocals have been used.