Mathematical Philosophy

Let us begin a journey. 

1, 2, 3, 4, . . . . . till infinity one may go. 

And they are all handled so beautifully by 1 to zero journey.  1/2,1/3,1/4, . . . . till infinity. 

Newton was amazing.  Isn't it? He did binomials.  He did calculus.  He gave a really cool picture of how calculations need to be done. Of machine world.

The problem with Indian psyche is (permit me to say here, please !!) many Indians think India is the land where 0 was invented.  I believe many take it seriously.  Many internalize for meditation too. And they explain many happenings with 0. If someone doesn't get something he deserves the above mindset seems to say 0 tho milaa naa. If someone gets something he doesn't deserve the above mindset seems to say 0 se milaa.

Seriously,  I do believe that this mindset is working among us and causes frustration and injustice. 

Fingers as numbers is much more interesting.  The feet sway. The hands sway. Rational numbers are a reality. I tried using these and got constants,  philosophy of time, binomials and body electronics. Ha ha ha !!

Frankly I do believe that one to zero is much more beautiful and the philosophy is greater than mine of fingers, thumb and sway of hands and feet. 

But this shoonyata? Zeroness. It is irritating. 

It is mismanagement explanation in terms of zero. 

I am engaged in these type of thoughts. I am happy because I got approximation expressions.  I believe humans are about approximation.  It is the consciousness. 

We are a land of binomials.  We have done binomials.  Many professors are experts in binomials.  I humbly state that I too have done a little in binomials. 

We must seriously consider binomial distribution.  And we must accept it as a truth of people. New parliament house is inaugurated.  New binomial distribution is the need of the hour. 

(New parliament house is triangular shaped. Not coffin shaped )

Jai Hind  !!

May you have a pleasant day!!

Math Theory Completed

I have completed my math theory. They were of three consecutive numbers and four consecutive numbers.

The above caused a question to arise. And that is 'What about the fifth integer?'.

After due considerations, I have made the following explanation. This explanation is giving me satisfaction and completeness. 

The fifth integer is the to the power.

And this finishes my theory once for all.

I hope you have a fine day !!

Approximately equal expressions

I have made the following approximate expression. This expression is not accurate and equal but only approximately equal.

Here are the Wolfram screenshots which confirm my above statement.

You may recall that I have done approximately correct geometry and expressions. I am providing the links below. This is because approximate correctness is close to my heart. And I believe this is what a human being is all about. Being approximately correct. And today I have the fifth approximately correct expression.

 Approximately drawing a pentagon

Binomials approximated to Arithmetic Geometric Progression

Approximately finding x by a to the power n

An interesting approximation

Hope you all have a nice day !!

Equivalent Expressions

I am presenting the following expression today.

Here are the Wolfram screenshots, from which the above has been obtained.

Also I am attaching below the roots of n squared plus n minus 1=0 and n squared minus n minus 1 =0.

The above are the beauty of nature. The golden ratio, 1, 0 and pi. And also tan function. 

Suppose you go to a saint. You have a lot of respect for the saint. You tell the saint, "You are greater than me". The saint gives a lovely reply. The saint says, "I may be greater than you. But both of us together are greater than me and in the same proportion you find me greater than yourself.". And that is golden ratio.

Goodbye for now, folks. Have a pleasant day !!

A few expressions today

 I made the following expression today. (It is very similar to the expression made yesterday except that the sigma operation is from 1 to infinity. In yesterday expression it was from 0 to infinity. Also the result had m(m-2) in denominator yesterday; while in the expression today it is m(m+2))

This was possible due to Wolfram Alpha. Here is the Wolfram Alpha screenshot.

Also consider an expression of pi

And another expression of pi

Getting 1/2 as an infinite series is tough, I feel. However I am lucky to get an expression for 1/2. A human realizes and does many activities based on 1/2. Therefore, an expression on 1/2 is very important and is nature blessed. Below is an expression for 1/2.

That's all for now folks. Have a nice day !!

An expression on Catalan's constant

 Below is an expression on Catalan's constant (C)

And the Wolfram Alpha screenshot which made it possible.

Have a nice day folks !!

Golden Ratio Equation and Pi

 Golden ratio is obtained from xsquared plus x minus 1when equated to 0.

This equation relates golden ratio equation and pi. It is very interesting.

And here are the Wolfram screenshots from which I obtained the above.

Also my pi by 3 root 3 expression is a subset of above.

Goodbye for now. Have a pleasant day ahead !!

Pattern Matching

1+2+3+4+ . . . do not lead us anywhere.  Does it? The numbers keep increasing.  The sum keeps increasing. It doesn't converge.

1/1+1/2+1/3+1/4 . . . also don't converge. 

1/(1^2)+1/(2^2)+1/(3^2)+1/(4^2) . . . converges. It is the Basel problem.  Euler, my master, proved it is equal to pi squared by 6.

1/(1^3)+1/(2^3)+1/(3^3)+1/(4^3) . . . converges. It is Apery constant.

These are of mathematics.  I am not an expert but I made Measuring Behavior.  I believe it is close to Wallis pi.

But I had a difficult time. Learning infinite series. I made #Pythashastri mantras and body expressions.  I wrote them in a simplified way in Wolfram alpha.  And I learnt my mathematics that way.

(Indebted to Wolfram alpha.  My koti koti namaskarams)

I believe I have convergence test. A thumb rule sort.

I have conducted three experiments.  Lifting dumbbell with left hand, lifting okras with fingers and observing the thickness of an object at relative distance.  They gave me 1, gamma function and infinite arithmetic geometric progression. I have one more idea of reflex and lumens.  But this cannot be done at home and by myself. These experiments give convergent values.

Okay. So far, so good.

Today is the world of software. Indians are deeply involved in software. We must develop models on pattern matching and get convergent value. This will be very useful and many of my convergent expressions of mine on pi, e, golden ratio and all will be benefitted. 

I wish all my blog readers a pleasant day ahead !!

Four month target

I have made a target for next four months. Improve the quality of my art to greater heights. Gujaratis (Modiji, Ambani, Adanis) are high quality guys and make high quality products.  They inspire me. Also I am inspired by American quality gurus.

I want to improve the quality of my funny cartoons. 

I have ordered Tintin comic and I am planning to copy Herge drawings. My drawings resemble Herge a little. And I intend to copy the master Herge.  I am devoted to your drawings sir. Allow me to improve action and background of my funny cartoons, sir.

I want to improve my portraits.

I will be mostly dependent on my golden ratio and mathematical ability to improve. My Asaro planes knowledge is okay. Problem is concave and convex planes in face. Hair, shadows and reflected lights need improvement.  

I shall make these possible in four months time.  And I shall get accepted into Gujarat quality group if there are any.

Have a nice day folks.

Thank you Modiji

I was interested in improving the personality of a general Indian.  I made blogs for that. Measuring Behavior,  Becoming Extroverted and Up and Working. 

I felt Modiji and his team will like my ideas and I also wrote about them in the government portal of mygov.in. I told them about my interests to them.

Then on my birthday I received a personal signed wishes from Modiji. I felt honored.  It was a very happy moment for me.

I knew Modiji is interested in common effective Indians and his team considered me. 

In his Mann ki Baat programs he makes it a point to talk on great Indians who contributes to the society at large without anything in returns.  Of course I was not talked about in Mann ki Baat but even a signed wishes on my birthday was a great gesture.  Thank you Modiji. 

My good wishes to all my blog readers.  Have a nice day.