Ticker solutions

We see share price tickers moving from left to right. Also news headlines.

Similarly we can have rational numbers tickers technology. 

We can have tickers of n by n plus 1. 3n by 3n plus 1. 4n by 4n plus 1. 3n by 3n plus 1 tickers will give pi by (3 into root 3) if summed as consecutive number model.

Different algorithms can be made. Add these, multiply by 4 , subtract 1. Fast operations can be done and computational models can be obtained. 

Rational number series is on. Tickers are on. Super computation gets on. Better robots on. Better earth technology on. Peace is on.

I love you nature. Let us extend our lives in earth.

Happy republic day !! Happy India!!

Please give me a chance.

Phi and pi both from product and sum methods

 Using product method and using sigma method I along with Wolfram Alpha have obtained phi and pi formula. 

Product 

Sum

Hope you like these!!

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 !!

Next number

Next number is an important concept in mathematics. It is also a psychology on what we consider as next.

Suppose one is looking out of window. One man passes by. You count one. Second man passes by. You count two. Third man passes by. You count three. Then a woman passes by. Four ? If you treat all are humans then four humans have passed by. Otherwise you say three men and one woman have passed by. The next number is important. 

The next number formula

Wolframalpha.com screenshot to confirm formula is correct.

Given below is another next number formula. 

Can you think of a next number formula? Please comment below if you have one.

Have a nice day !!

New plans in art

 

Personal essay on my art journey

It was in my school days when I drew faces. Only left facing faces. Then I remember I drew my neighbor's face and my parents found that good. That elated me. 

Later in my college at Coimbatore I would scribble a few drawings.  Not much.

In Delhi in early 2000s I realized I had good humor.  In my talks and conversations.  I decided to take up my humor to higher level with cartoons.  I bought RKLaxman book and copied his drawings.  I worked hard and copied almost all the drawings.  I was serious in cartoons as a hobby. I also bought the book by Lou Darvas.

In Ranchi I was in quality department.  I read about PDCA. I was alone and had time. Then I had the seed of thought that my quality of drawings of cartoons need improvement.  I thought of applying PDCA to funny cartoons drawing.  This innovative thought was very fruitful and I showed improvement.  I am thankful to Lord for this innovative method. 

But I couldn't focus. Internet, Youtube kept pushing me to many areas of art. Objects in front, portraits,  caricatures,  buildings,  landscape,  muscled men.  I was tempted and wanted to do many things.

Lack of a friend,  philosopher and guide and a lack of system in India made me fall into the temptations of Satan. 

I am now promising myself funny cartoons only in digital. But increase the number of frames. Upto 5 frames and funny cartoons is what I am focused on. 

A few questions asked

I can see that you have done pi by 4 using product formula and also golden ratio using product formula. What next?

Yes, I thought of 4n(n+1) and adding 1 to it. And it fetched me pi by 4. Golden ratio was the result of extending my earlier thoughts of (5n+/-3) and (5n+/-2). I tried (5n+/-1) and (5n+/-4). It gave me 0.61803. Earlier they were 1.61803. I do not have any more inspiration, as of now. I want to do learning. Hypergeometry, Digamma function and Bessel functions. But I am not getting opportunity.

You seem to have stopped art contributions nowadays. What is the matter?

Art is a bit shaky inside me. I still have a lot of desires. Currently I am into God mode. Art to me seems to be Devilish. So I am hesitating. The need for a team, finance and other issues related to art, which are not happening, is depressing me.

You made a few songs and now you have stopped. Why don't you continue making songs?

No. I do not plan to make more songs. I am doing one or two tracks and I do not have the money for a soundproof room or a multi track recording system. Also even here there is no team. So no point.

Are you planning to read Holy Bible?

Yes. The chapters on Matthew, Psalms and Proverbs. I have deep faith in Jesus and wish to lead good life as preached by Holy Bible. 

What about SAIL? What are your plans for SAIL?

It was always a cat versus mouse thing for me in SAIL. I am looking somewhere. The SAIL management wants something else. I have lost a lot on Personnel related things like placement, promotion. My interests are quality, software in SAIL. SAIL management wants projects. I want to make economically viable plans for Indians. SAIL tells lies to Indians. With two and half years only left in service, I am feeling retired now mentally.

Okay. Thanks.

Thanks

Two golden ratio expressions

You may recollect that I had developed two golden ratio expressions giving 1.61803 by using expressions similar to the two expressions below.

I have modified the earlier expressions and am now presenting expressions for 0.61803.

Hope you like the expressions.  These are from consecutive numbers. 

Have a nice day !!

And all the four related Golden Ratio expressions

A pi by 4 formula

I was wondering about five consecutive toes in feet and four consecutive fingers and thumb in hands. 

I used my consecutive number expression mn(n+1). I added 1 for the thumb. Put m equal to 4.

I used the Internet mathematics great Wolfram Alpha.  And got the following result. This is a new result from me on pi.

You may recall Madhava of Sangamagrama gave us pi by 4. Ramanujan gave us 1 by pi apart from other pi results.  Wallis gave us pi by 2 from his product formula.

The above is a product formula and gives us pi by 4. This is the first time I got pi by 4. I got mainly pi by 3 into root 3 in infinite series form.

This tells us importance of 4 and also addition of 1 to it.

Have a nice day !!