This result too

 The following expression is similar to the expression in my earlier blog post.

And the Wolfram Alpha screenshots to confirm the above is correct.

Have a nice day !!

Result from Intuition

 Most of my mathematics was developed from intuition. I would have an intuition. And I would type them in Wolfram Alpha. And the results were obtained. 

Many, many thanks to Wolfram Alpha for I was able to express my intuitions mathematically.

The following result is also one from my intuition. 

Here are the Wolfram Alpha expressions to confirm that the above expression is correct. I have used a equal to 5, b equal to 7, m equal to 4 and k equal to 6.

Did you like the expression ? There are two standard binomial statements on RHS multiplied by two algebraic expressions. The numerator binomial statement starts from 1. The denominator binomial statement start from 0.

Have a nice day, guys !!

Related to KAAL number?

KAAL number is a memory of a few months.  

Yesterday,  I did an expression and got 1 by e. Today,  I tried the same expression with alternate negation.  I got 0.216. And inverse of 0.216 is about the same value as KAAL number. 

This is interesting. 

1 by e

 I was thinking about something, when the expression on the LHS, came into my mind. I wanted to find out whether the expression on LHS results in something good.

Yes, the expression results in 1 by e.

And below is the Wolfram Alpha screenshot to confirm that the expression is indeed 1 by e.

Have a nice day. Have a nice weekend !!

Three ways to look at my drawing objectives

There are three ways to look at my drawing objectives which are to be achieved in 2 years time.

First way - To draw like masters

Second way - To achieve perfection in pencil control

Third way - To reach art level 80 in the eyes of AI.

Of course,  I shall be working on still life drawings,  outdoor drawings,  comic drawing and cartoons and portraits.  But above are the improvement plans.

I hope you have understood my expectations from myself. 

Weekend is nearing. Have a great weekend,  guys !!

My truth

This is my present best shaded hand.

Art Improvement needed (in one year)

1. Exercises for form Bending 

2. Exercises for form carving

3. Exercises for form agglomeration 

4. Exercises for form mannequining common creatures, humans, objects

5. David Finch shading.  Giovanni Civardi shading.  Both

Mathematics Improvement needed (life long)

1. Hypergeometry self learning 

2. Digamma self learning 

3. Bessel functions self learning 

4. Whether complex functions too ? ( wondering!!)

Music Improvement needed (short term - 2 months)

1. Finger movements and playing in harmonium 

Personality Improvement needed (as much possible,  daily)

1. Regularity in 15 minute Vipassana 

2. Regularity in prayers,  sandhyavandanam 

Have a nice day,  guys !!

Till the foldable chair arrives

My foldable chair will take time to arrive. Then I shall begin Ranchi township sketching. 

I am presently using my sketch book, pencils for indoor drawing. 

Here is one I did.

I shall follow the same style for outdoor sketching too.

To have clarity

To boldly use pencils.

There is a door. There is a refrigerator.  There is a curtain. There is a clock. There are two switch boards. It is a section of my main hall in my quarters. 

I hope you like the drawing. Have a nice day !!