New focus in artistic endeavor

I am tempted a lot by drawing art. I have a lot of greed in drawing my art very very good. I started off my artistic journey by following what R K Laxman did. Cartoon jokes and caricatures. 

I thought because I have formulas in golden ratio; I can become a very good artist. But not quite!!

I thought my caricatures of VIPs were decent. But golden ratio did not help to improve further much.

So I made a plan. I decided to get myself "Statue Drawing Ability" on my own.

So I bought this item from Amazon India.  I will draw light and shadows of it and thereby improve my portraits/caricatures drawing ability. 

Namaste 🙏 

India's new spin proposed

I am proposing new spin for Indians. India is the most populous country in the world. 

Instead of 1,2,3,4 . . . ; we must develop 1, 1+2, 1+2+3, 1+2+3+4, . . .

Instead of saying we have 4 family members. Namely 1+1+1+1; we will be saying 1+2+3+4 = 10 family outputs. 

Look at the below expressions. 

These formulas and the work in development of the formulas will benefit civil servants, military and social activists.

I request influential guys to consider favorably,  development of the mathematical system for this thought.  I may be included in the team too.

We have blessings of my Jesus.

Unique result

Consider

And

Add the sum of expression above. It can be delivered by a single result given below. And all the three have similar base of ((-1)^n)((4^n)/((2n)!)

Have a nice weekend!!

Cos(x) and Sin(x) expressions

 

Also

Sin(x) takes more parameters

You may be aware that I have approximate expressions for factorial,  to the power n and the next number. 

So I tried on Wolfram Alpha using above.

I always thought where there is cos(x) , there is sin(x). And they have same number of parameters.

But not so.

The above happens at only one place. At x = 4 or x=1/4 depending on whether x^n is in numerator or denominator.

Have a nice day!! May God bless us !!

Approximate Integral?

 

Now that we in India have approximate 2n  factorial formula; and now that we in India have approximate (a/b)^n formula; and now that we have the next number approximation; and now that we have many other formulas for approximate functions: . . . . . . it is time that Indian mathematicians apply their brain and work towards approximate integral. 

Just as Taylor series gives function as infinite series of to the power n, factorial and next level derivative; I am suggesting a function of approximations with my approximate values of (a/b)^n, (2n)! and next number. 

PM Narendra Modi should form a high power mathematics committee to explore, try and make approximate integral statements. 

The benefits are Indian people will develop to behave approximately. Indian people will improve intelligence.  Indian people will develop devotion.

If you think my idea is even 10 percent feasible, do comment below. 

Is our Bhakti due to gravity?

Imagine you never experienced gravity. You were born in space, devoid of much gravitational field. Will you be having bhakti for Shiva? For Vishnu?

Sitting in my home at Ranchi, I am hearing devotional hymns and chants being played on loudspeakers.  Chatt festival season, it is. A local festival of Bihar and Jharkhand. 

Can there be taal without gravity? Imagine tabla being floating around. Can a tabla player still play the tabla? If he cannot, then there is no rhythm.  If there is no rhythm,  then there is no hymns. If there are no hymns, how can bhakti be developed?

My earlier approximate formula for 2n!, I believe is devoid of gravitational numbers.  So I claim. So I believe. 

My point is this.  Rhythm may not possible in absence of gravity.  Is it possible to see truth, meaning God through my 2n factorial formula?

I wonder.

2n factorial - Final submission

 The (2n)! formula with ((((n+1)(n+2))/2)^n) gave me many sleepless nights since April 2024. On April 2024, I discovered that ((((n+1)(n+2))/2)^n) is approximately connected to (2n)!. But how to give an expression? My education is limited. My mathematical prowess is hardly comparable to champions of IIT JEE.

But I felt it is my duty to complete the formula. Till calculator range. Till 170!. Or when n equals 85.

I carried on. I used the formula of Stirling formula and other expressions of (2n)! to get (2n)! through ((((n+1)(n+2))/2)^n). Well that was incorrect method. But I continued.

Now, I have finally made it. Without the use of any other approximate or accurate formula of (2n)!

Here is the formula

Here is an excel sheet that confirms 99 percent accuracy.

Have a great weekend folks!!