Prayers

 I feel these three ideas of mine are good and are of value to mathematicians globally.

Convergence Test

Golden ratio with consecutive numbers

Relationship between 3 consecutive numbers and 4 consecutive numbers

Lord Vaidheeswara, kindly help me. You are omniscient, you know it all. Kindly do something for this ignorant being !!

(Lingam of Vaidheeswaran Koil, near Kumbakonam)

Convergent Value

The convergence test method seems to be working.  But what about the value at convergence?

I learnt from Wikipedia the following  formula.

As software is a present day reality, this formula is great.

Finally my search has come to an end. Thank you my Lord!! Last few years I was just mad with expressions. Now I feel relieved.

Well measuring behavior, becoming extroverted, Ramanujan,  pentagon, constants, 3 consecutive numbers, 4 consecutive numbers and all for the last few years. 

I shall do drawing with pencils ✏ more vigorously.  This should be my focus now, I believe. 

Have a  great 👍 day,  dear blog readers !!

Puzzles

 

Convergence test

 

Bisecting or more . . .

 

Potential for fifth Golden Ratio

I can draw a pentagon as 72 degrees too. This is because I have a theory on division of an angle into 5 parts. 90 degrees can be drawn. 60 degrees can be drawn. And 60+2/5(90-60)=72 can also be.

Since the pentagon can now be drawn, it means phi has been approached.

The expression today

I present the following expression today. This expression combines the differential, sigma and integral of mathematics. It was my desire to make a fabulous equation and this equation fulfills my desire.

Have a great day, dear blog readers !!

(Kindly point out if there is an error in this expression)

My desired philosophy of Mathematics

 

A new equation

 I am hereby presenting a binomial expression. 

I hope you like it.

Have a very nice day, dear blog readers !!

Fourth golden ratio equation

 I made three golden ratio equations. Here is the link.

This one is the fourth. 

Have a great day !!

These Expressions for today

 

Have a very nice day, dear blog readers !!

These two expressions for today

 

My good wishes to you, dear readers. Have a nice day !!

A very big theory !!

 

This is a big theory. 

Have a great day, dear readers !!

In the above read 'Moreover for larger numbers the expression approximates to 2' should be replaced with 'Moreover for larger numbers the expression approximates to -2'

And below is the Wolfram Alpha screenshots. It shows that results approximates to -2 in all the three with larger numbers.

Tell me!! Aren't these results great? So much of learning in them. 

Try these pi expressions

 Try the below given pi expressions.

I am sure you like them. Have a great day, dear readers !!

Three pi squared expressions

The rational number series which are essentially n(n+1) in the denominator is important. Then there is another function and that is (2n-1)(2n+1) in the denominator.

I decided to mix these two things up. Instead of (2n-1)(2n+1) in the denominator, I used (n-1)(n+1) in the denominator.

I got one expression with above. Then I re-arranged and got two more. So totally three expressions I tried. Using Wolfram Alpha.

The expressions are given below.

Just look at this expression today

 

Just look at the above equation. And close your eyes. And feel the beauty of mathematics !!

Amazingly great looking beauties. There is one approximation expression too!! And that is sone pe suhaga !!

Have a very great day, my dear blog readers !!

Consider these two expressions

 

You may try these equations in your free time.

Wolfram Alpha has helped me a lot in developing these sort of equations. My aim is to blog about the extensiveness of my theory. There are so many expressions.

My best wishes to you dear readers. Have a nice day !!

These four expressions

 

Take a look at the above equations. And appreciate the beauty of mathematics.

I think I can overtake Ramanujan in the number of equations made. Of course not the quality. But quantity I can. And if Ramanujan were alive, he would have been proud of me.  JRMS quite rightly rejected my paper for quality. They were correct. I only request and beg them to consider my equations unofficially. Why deny the aspirants of mathematics a learning? I hope they will be magnanimous to consider my suggestion.

Here are some more.