Here are some questions asked now

You have done KAAL number and have stated it is only 3.14% as good as e^x. How did you calculate 3.14%?

This is my way of thinking.  KAAL number is a little good. Also I have expressions in pi. Now e^x, sin(x), cos(x) etc. are magnificent series. My series is not so good. But at the same time I have done pi expressions.  So I said 3.14%, so that I am considered low in value and at the same time respect is given to me for my pi. That's why I said 3.14%.

This is not correct way of thinking and saying and writing. Mind your ways. Say 5% or something. 

Most of the comparisons are likely to be infinite series.  Even smaller things like rotation of thumb are infinite series.  If I use 3.14%, where am I wrong.

No, you will say 5₹ or 10%. Not 3.14%.

You guys never used ruler/scale. You guys think complex number is inside you. You guys feel actions and reactions are inside you. Where are you guys correct? And now you ask me to put 5% or 10%?

You must accept defeat. 5% or 10% are correct. Say 5% or 10% of value as compared to e^x, sin(x), cos(x). 

Okay sir. 3.33%. Not 3.14%.

Okay. 3.33%. Thanks.

Thanks.

The KAAL number

The KAAL number stands for (Kirtivasan, Abhaya, Akshaya, Lata) number.

Is KAAL number 4.666? Is KAAL number 4.6?

KAAL number is 4.53946.

Example 1

Example 2

It is only 3.33% as good as e^x. I agree.

These expressions lead to one(x) and zero(x) functions.

These functions give us gamma in integrals.

These functions demonstrate the string theory.

I have written about these in my earlier blog posts.

I have written a paper too in JETIR. Titled ' 4.666 based expressions'.

I have used Wolfram Alpha to check for n from 22 to 10 digit numbers. All the 3 give appropriate results. As these are of counting with fingers thing; I did not check further.

But e^x are all of ruler/scale. These give absolutely accurate results. While the above give approximate results.

Have a nice day !!

Sigma Product Equivalence

The following below gives the sigma product equivalence of Madhava's pi by 4 and the Basel Problem

Madhava's pi by 4 was sigma of minus one raised to n by 2n plus 1 all added up from 0 to infinity.

Basel problem was sigma of one by n squared all added up from 1 to infinity. Basel Problem resulted in pi squared by 6.

To have made a product equivalence is no intention to belittle the original sigma series. Most certainly not. The intention is to make the user aware of the vastness of mathematics. And encourage them to use their imagination. And to encourage them to use consecutive number model.

Have a nice weekend guys. Let us enjoy this weekend and get prepared to face a new week ahead. 

New sets of questions asked

You have done phi by pi. Does it mean a lot to you ?

Yes. It does. To have a relationship between phi and pi in terms of an expression is being so close to Jesus.  I feel I am 97% Jesus.  3% Kirtivasan.  

And what are the 3% inside you ?

I would say 1%, I make choices.  Another 1% are the temptations.  The last 1%, I don't know.

How are you planning to make right choices ? How are you planning to avoid temptations ?

By reading Holy Bible.  I have faith in Jesus.  Jesus guides me always. I shall read Old Testament.  From the new Testament I plan to read Matthew. 

Why don't you do Iyer practices of mantras, japams and poojas?

Culturally Iyers are great. That too Kumbakonam Iyers. But then where are the planet positions correct? Why praise Vishnu a thousand times? Why praise Shiva many times?I have 1,2,3,4,5,9,10 and Rational number series.  I want to use these two for sadness removal. In India. 

Sadness removal ? Why not poverty removal in India?

Finances are different.  You cannot earn in foreign currency even if you are extremely good in portraits.  You can expect to earn only in rupees.  But on the other hand you can expect to earn in foreign currency if you are averagely good in comics. Markets are like that.

What do you think of Muslims?

I can talk of only Indian Muslims.  Indian Muslims are nice people. Patient. Disciplined. Have concerns for India. Honest opinioned. Try to lead a honest life. Earn right money. 

Thanks. 

Thanks 

Phi by Pi

I have made an expression of Phi by Pi. I rate this as a great blessing from mother Nature.

Here is the expression

And the Wolfram screenshot to confirm that the expression is correct.

Have a nice day !!

Here is the consecutive number equivalent

And the Wolfram Alpha screenshot to confirm above is true

Rational series advantages

With my rational number series one can

1. Experience body pi

2. Experience body phi

3. Feel Euler-Mascheroni constant 

4. Feel Apery constant 

5. Approximately compare equal to with my binomials 

6. Approximately do addition with my binomials

. . . And more

Recent Art Practices

I hope practicing like above will improve my cartoons. Improve my comics.

Have a nice weekend!!

Final Plans in Drawing Art Quality Improvement

You may be aware that PDCA has helped me in Quality Improvement in Funny Cartoons Drawings.

But the drawings had perspective and proportional problems in some of my drawings. Though it may not matter in cartoons drawings; it matters if I want to do comics. 

I have now devised a Quality Improvement plan for taking care of all my needs in improvement.

There are four sets of daily practices. One DMAIC based. 3 PDCA based.

Explanation

Man made objects like sofa sets, doors, windows have functions. To seat three, about 7 feet high, two men can stand etc. Hence the word functional.

Also the man made objects are of proportions. Hence the word proportional.

Also these needs to be drawn with vanishing points. Hence the word Vanishing Points.

These are better handled for Quality Improvement with DMAIC. Hence DMAIC.

This explains first set.

Camera Angled Relative humans are two humans at least in relative position to each other. These two humans drawings shall be practiced in above head camera, below head camera and the drawings improvement shall be by PDCA.

This explains second set.

Camera Angled Animals are drawings of animals like dog, cat, lion, deer etc. in above head camera, below head camera and the drawings improvement shall be by PDCA.

This explains third set.

I want to keep the cartoons style too. So the fourth is that. Cartoons drawings improvement shall be by PDCA.

This explains fourth set.

Action Plan

All the Ps of my art

I get into blind area if I pursue mathematics.  Knowledge of hypergeometry,  digamma are a must. I don't think I can make it to SAIL labs. So mathematics is ruled out.

I can't understand Indians. They never use ruler/scale; yet pursue mathematics of ruler/scale? Why ?

I will focus on art for my 6 hours. The letter P is important. 

Perspective, Proportions and Position(of light).

Personal Pi. Personal Phi.

Six hours with me

I have about 6 hours with me.  I am staying with my mother. These 6 hours are wasted daily. 

People from Japan will understand me.

SAIL is not putting me in Labs. I wouldn't have problems then. I would have concentrated in Labs.

You may be aware that I have English time deep inside.

I spend my time thinking and expressing the next number. How humans consider the next number. Ramanujan theta functions and Ramanujan Tau functions are fine. But then one is choosy. Also how to express in a continuous way the next number. With ruler/scale next number is not a problem.  But humans ?

The other thing I plan to do is art. But I am very desirous when it comes to art. I want to get proportions,  perspective and position all exactly perfect . Like Kim Jung Gi. It doesn't happen and I get frustrated. 

. . . And 6 hours go by. And every day the same happens.

Meanwhile . . .

Let me share my mindset.

I have three objectives in mathematics 

1. 4.6 to the power of (1 by x) betterment 

2. Relationship between n(n+1) and n !

3. Relationship between phi and pi betterment 

Currently unable to. Wolfram Alpha over internet not enough.  Need journals.  Need mathematical software.  Need resources. 

Art objectives are two in number 

1. Cartoon and comics

2. Portraiture and Caricatures 

Possible by self help. Have made plans. 

Musical songs too I want to compose. But multi-tracking is financially unviable. Also team for muti-tracking do not spring up.

Chess. No

Dancing.  No, no.

Public speaking.  Conversation skills. Do not interest me.

Acting. No.

Have a nice day !!

Vandermonde was brilliant

I rate these two relationship due to Vandermonde as brilliant.  Wow !! Fantastic sir !!

The first is called Cauchy-Vandermonde identity.  The second one is called Vandermonde identity.

I have product formula for combination(2n,n) and combination(2n+1,n).

I shall be working on your identity Vandermonde sir. The second one.

Have a nice day !!

Five elements to my art

I wanted to make the relationship between n(n+1) and n ! continuous; I wanted to make better the relationship between phi and pi in infinite series.

But am unable to. I tried collaboration with big institutes; but no initiative from them.

I have left mathematics for a while.

I am now into art. Concentrating on art.

I have defined five elements for art. Pi, phi, triangles,  shadings and textures.  These elements have to be realized every instant. The brain has to realize. The mind has to realize.  The hand has to realize. 

Of course you talk of art in terms of proportions,  perspective,  position too. But these are physical actions. The above five are psychology. 

So that's what it is that I plan to do.

Phi and Pi

 

Newton was far too good

In this lifetime, I managed to give consecutive number model. Based on Rational Number Series. These are my coined terms. These are good in infinite series. These can give a better world.

But Sir Isaac Newton was so far ahead. Cannot believe it. He gave functions. He gave calculus. He made Force laws. He explained the mechanism of the working of things. Most Amazing !! Words cannot describe his contributions. Far, far ahead. Simple models. Explained it all.

Nature works on infinite series. But do not know whether this is the truth. Maybe, relativity is the truth. Still I would say to understand working of nature in gravity based earth, consecutive number model based on rational number series is a good bet.

India do need nature principles which are gravitational earth based. To take better judgement, to try better social solutions, to dream of uniform methods.

Have a nice day !!  

phi minus 1 in infinite sum

I have made now (phi-1) in infinite sum method.

Here it is

Hope you like it. Have a nice day !!

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 !!