Tuesday, August 5, 2025

Infinite Series Value

The value for an infinite series is what I yearn for.

We all know the value of infinite series of following 

Infinite geometric progression 

Sin(x)

Cos(x)

Log(x)

e^(i into theta)

Madhava-Leibniz pi series 


I think there are many many ways of calculating Infinite series values. In fact there are methods to calculate values of divergent series took.

And I know only Partial Sums method. 

Earning money for a 11th class or 12th class guy is more important than getting an education. This is what I believe.  Coming from Singhania employees, I can't help thinking otherwise. 

Have a nice day!!

Feeling Wow !!

 Modular mathematics is excellent, man !!






Though I have joined Udemy's modular mathematics course, I have not started because I am more into Hypergeometry.

Have a nice day !!

Judge for yourself

KAAL number is 4.666.

KAAL stands for Kirtivasan Abhaya Akshaya Lata. 



e^(ln(56))=56. ln(e^56)=56. 

Now, you decide for yourself whether KAAL number has relationship like e and log. Not exactly equal but somewhat similar.






I believe there exists a clear similarity. 

Have a fine day !!

More 3D to my portraits

I am working on adding more 3d to my portraits. This will improve my portraits and caricatures drawing. 

Have a nice day!!

Sunday, August 3, 2025

Comparison

 


India gets a chance



India gets a chance. 

Wolframalpha.com gives that chance. For sum of numbers by product of numbers multiplied with x to the power number and alternately negated; and this done from 0 to infinity gives sin(x) and cos(x). The basics. 





Hindus gives food to bhakts. 1+2+3+..... Hindus consider factorial there in. Some other 1*2*3 .... could be served. 

Muslims give lessons to followers.  1+2+3+..... Muslims consider factorial there in Some other 1*2*3.... could have benefited.

But people say we are not 1+2+3+.... We are 1,2,3,4.... But we need to consider 4 as 1+2+3+4 minus 1+2+3. In above they are alternately negated. So we must be bold towards 1+2+3+4+.... May Sikhs give support here.

If Hindus,  Muslims and Sikhs initiate above, then Christians can be persuaded.  Christians will give ((mn+m-1)/(mn+m) - (mn-1)/(mn)).

Now it is in Modi hands.🤣🤣🤣

Saturday, August 2, 2025

I am evil

A small step for man. A giant leap for mankind. 

Limit delta x tends to zero. The whole function changes.

A small knowledge in sin(x) and cos(x). Ants, cockroaches are killed. By me.

. . . And I spend 3000 rupees on petrol for car. That much petrol can kill pigs in many.

My mother spends 500 on gas. That much fuel for food.

Knowing this I am not attaching blades to fans and killing myself.  I am enjoying fan air.

That is evil. 



Complete consecutive numbers based sin(x) and cos(x)

Three consecutive numbers based sin(x) and cos(x). This was done in a blog post earlier. 





Four consecutive numbers based sin(x) and cos(x). This is presented now.



Two consecutive numbers based cos(x) and sin(x). They are below.




Professors,  students of mathematics and mathematics knowledge enthusiasts, I hope you like these. I love you guys. May Jesus be with us.

Have a nice day!!

Sin(x) and Cos(x)

 



Consecutive numbers based sin(x) and cos(x)

At last, I have got sin(x) and cos(x) based on consecutive numbers.

Here they are





Have a nice day!! My SAIL, my pride !! 

This sin(x) and cos(x) formulae

 




Friday, August 1, 2025

Be Buddha

I feel the world order has changed. It is no longer a food, electricity, transportation for all world. But a world of War and Peace.

I ask with folded hands that let all of us seek peace. Let us be brotherly with Madrasis, UPites, Bengalis etc. and ask for peace from Buddha.

Let us be guided by anti-Brahminism of Madrasis.

Let us be encouraged by strong office orders of UPites.

Let us be encouraged by strong efforts for good neighborliness of Bengalis.

Let us find peace from being Buddha.

India will promote peace. Indians will demonstrate peacefulness. In these times of War and Peace.

Thursday, July 31, 2025

This seems good

 


Was Ramanujan a genius ?

I think IIT are suffering from severe complex issues and their own self doubt on their own mental abilities makes them ask this question.


IITians must learn to accept statements at face value if stated by wiser men than them.

1. GHHardy praised Ramanujan

2. Dr. Manmohan Singh declared Ramanujan's birth anniversary as 'National Mathematics Day' 


As far as I am concerned, I am a bhakt of Maha Vishnu and Laxmi thai is highly respected. I therefore am 100 percent sure of Ramanujan's genius for numbers.

Have a nice day !!

Two things are good teachings for us

Holy Bible teaches two things which are beneficial to us.



1. Jesus loves you and me even if we are average. 

2. Humans must have more and more responsibility for humans are unique.


Wednesday, July 30, 2025

Wax Statue

 If hot wax is poured over cockroach, the cockroach dies. If hot wax is poured on man a man would not die. And the burns would also be mild with no blisters. Also he can shrug it off with spin of hands and legs. Cockroach cannot do this.


Wax Statue of Prabhas at Madame Tussauds Wax Museum, Thailand.



Tuesday, July 29, 2025

Having it in your palm of your hand

It is essential when it comes to mathematics that one does not just know but have the concept in the palm of your hand. This is not just my thought but also the thought of the number one in Internet mathematics, Alon Amit, Israeli mathematician working in USA.



I have cos(x) and sin(x) in my palm of my hand but not Limits. Possibly Taylor but not Newton.

Carl Friedrich Gauss sir had it all in his mind !!

Friday, July 25, 2025

Human rights or Rules of society?

I somehow have this feeling that having access to mathematical books and mathematical journals is my human right. 



I am most probably wrong. So the rules of the Indian society wins.



Calculating a^b from infinite series

How to calculate a^b from infinite series?

I have used (arithmetic progression)/(geometric progression). An experiment that I did. The (arithmetic progression)/(geometric progression) is n/(a^n). You may recall that I multiplied n/(a^n) with (x^n)/(n!) and got gamma function earlier. 

Now, a^b.

11^(1/5) and 11^7. 


This could be useful in mathematical software calculations and engineering calculations. Provided the terms converge faster.



I think the expression converges very fast.  10 or so terms are good enough for 5 decimal places of accuracy.

And 4 decimal places in just 5 iteration 


Thursday, July 24, 2025

Pure Indian Spirit

I wanted to avoid x in my formulas.

So what does it result in ?


That is a pure Indian spirit !!

In your free time see whether 0.532032 has applications or not !!

Have a nice day !!

Many, many, many thanks

Wolframalpha.com,  you have been a great master. My guru and helped me express.

You have been considerate and helpful and accommodated my 'stupid' ((mn+m-1)/(mn+m) -(mn-1)/(mn)) expressions. 

Words cannot describe my gratitude. 

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