Khinchin constant

I have managed to express Khinchin constant too with my consecutive number model. I am not too sure about the meaning of Khinchin constant. Only thing I know is numbers are expressed in geometric mean and the coefficients form a continued fraction giving us Khinchin constant.

Here is Khinchin Constant in consecutive number model.

All of these expressions are an offering from my side to Lord above and the lovely nature he has given to us.

I hope you like it. Have a nice weekend guys. 

Some of the titled constants expressed in consecutive number model

Catalan Constant

Catalan constant is also now expressed in terms of consecutive number model.

Below is the expression 

Importance of Catalan constant - Even numbers are the number system itself. Just multiplied by two. Odd numbers are different. So odd numbers give brilliant results like Madhava's pi by 4. Now, squares of odd numbers are important because square of a number, I feel are better representations than to the power one of a number. So, the point to know is 1 by squares of odd numbers and alternately negated is very important and is called Catalan constant. And consecutive numbers are able to represent Catalan constant.

Have a nice day !!

Apery Constant

 Apery constant now expressed in terms of consecutive number model.

Here is the expression

You may recollect that I did Euler-Mascheroni constant earlier with consecutive number model.

Hope you like it. Have a nice day !!

pi and phi (π and φ)

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

Perfect Mantras for Jesus

 The below are my mantras for reaching Jesus. These expressions are highly internalized.

Jesus Christ

Pi and Phi

This is a real life turning moment for me.

I plan to do the following in my life from now onwards

1. Get more internalized by above mantras

2. Do sandhyavandhanam.whenever possible

3. Memorize Hanuman Chalisa and Vishnu Sahasranama too

4. Read Psalms, Proverbs and Matthew chapters from Holy Bible

I have typed the mantras in MS Word

Combined Expression

If you include the terms in square braces, you get the phi minus one that is there in square braces. If you do not you get pi by 4.

Tons of thanks

Have a great day, guys !!

Guiding my body, mind and soul

I believe in guiding myself by equations. Guiding my body, mind and soul.

Then, what are the equations that guide you ?

The following two

Are the equations correct?

Yes, they are. Because Wolfram Alpha confirms them.

What do you hope to achieve by following above ?

I hope to understand and hope to go towards perfect nature. This is my fourth set of expressions with linkage between pi and phi. All these four sets have taught me the nature of Jesus Christ,  the man from Nazareth. 

Why are these among the four sets of relationships between pi and phi important to you?

Because the above are the two I can internalize and assimilate.  The above are my closest pi and phi relationship to my heart.

My body pi and my body phi

I always wanted to express myself in terms of constants. I wanted to find what expressions give me peace of mind.

The following three give me peace of mind. Kindly note that it gives 0.61803 and 1.61803 and not 0.61803...... or 1.61803...... Only 5 places to decimals.

They give me peace. They give me serene mind. I feel as calm as a lonely man standing in a vacant beach listening to the roar of waves.

Today, Sunday, 18th January 2026, I found my peace expressions. 

It is not easy to get 5 places of approximations as in all the above. 

Have a nice day !!