An equation

 Based on my earlier post, I further modified and obtained this equation.

I hope you like this one. Have a nice day, dear blog readers !!

I have made a one to one correspondence for the above. To me there seems to be enough mathematics still to it. And (3n+1)(3n+3) is so close to (3n+1)(3n+2). 

What are your views ?

A complex equation

Euler made a fantastic complex equation e to the power of i theta equals cos theta plus i sin theta.

I tried very hard to get a similar beautiful equation. I managed a little and made the following equation.

How do you find it? Please comment below so that I can get a feedback. Have a nice day, dear readers !!

(The above is wrong)

(Added on 31/03/2021). Here is a correct complex equation. 

Thanks Wolfram alpha once again!!

This is just about it

This is the maximum I can think of

(Replace n with m in the denominator(n+1)!)

Euler was so great. He did e to the power of i theta. And got sine series and cosine series in there. With the complex i increasing in power on every step. Truly amazing. There's nothing quite like it.

I have just managed to get an increasing sigma for the complex number.

Can you get a better equation than the Euler equation?

Another golden ratio expression

I made another golden ratio expression.  This is the sixth golden ratio equation and the third in "Rational number series " or "3 consecutive numbers and 4 consecutive numbers " theory. 3 is a powerful number.  Because I got 3 golden ratio expressions with "Rational  number series " or "3 consecutive numbers and 4 consecutive numbers " theory; my theory gets acceptance.

The equation is

Putting y as -2/3 or -0.666666. .  gives n as phi or the golden ratio. 

How about that? Evil changes to God by my equation!!

Plus 2 and minus 2

 I feel it is difficult to get an expression for 2.

However I managed to get them. One is plus 2. Which is a rather simple one. And another is -2. It is complex and involves two sum and one product operation. This one is inspired from the famous Euler expression e to the power i theta plus 1 equals zero.

Plus 2

Minus 2

Hope you like them. Enjoy a happy weekend!!

A Small Quantity

 Here is the equation for a small quantity.

Hope you like it. Have a nice day !!

Here are another equations for a small quantity 

Hope you like them. Have a nice weekend!!

Equations for now

 I am putting forward these equations, for now.

These have been inspired from the logarithmic infinite series. Only thing is I made them upside down to see whether I get something significant.

I tried them with Wolfram Alpha.

Enjoy a great day !!

Abel Prize winners 2021

Avi Wigderson and Laszlo Lovasz have won the Abel Prize for the year 2021.

They have been awarded the Abel Prize "for their foundational contributions to theoretical computer science and discrete mathematics, and their leading role in shaping them into central fields of  modern mathematics ".

Consider this expression

 For any positive integer m 

Consider this expression

For any integer m greater than 0

And an approximate expression too for very large m, say 10000.

Consider this expression

 For a positive integer m 

Hope you're having a nice day. Continue having a nice time!!

Consider this expression

 For a positive integer m

Hope you like the expression.  Have a nice day!!

This is good

 

I like the above equation . What about you dear readers?

A new formula

Here it is.

Hope you like it. Have a great day !!