That is the time frame for me. So that to utilize 3 hours effectively.
Salutations to DaVinci.
My theories are ready. Namely 1. Pi and Phi 2. PDCA and DMAIC 3. AP and GP 4. Triangles 5. Contour, Cross and Cosine hatching.
My artistic ability is about 70% of the world's best.
Aim is to be 85% of the world's best.
In 1. Objects in front drawing. 2. Portraits and Caricatures 3. Cartoon and Comics. All pencils based. And Digital.
Have a nice day !!
Despite making a log method; despite getting pi by 3 into root 3 with both 3 consecutive numbers and 4 consecutive numbers; despite having two partial sums methods; I don't get an opportunity
Yeh Hai India!!
I shall get into artwork. To spend available time. Apply my theories and very seriously work towards getting practical improvement. The theories of pi and phi. The theories of PDCA and DMAIC. The theories of AP-GP. The theories of triangles. The theories of contour hatching, cosine hatching and cross hatching. All these theories will be well analyzed. Shall be made into simple practical steps. And God willing, my drawings will improve.
Two years time.
Have a nice weekend, folks of internet.
Today is teacher's day.
I look at resources over the Net, use AI and say thanks to GHHardy for the outstanding teaching of Srinivasa Ramanujan.
Let me write my honest understanding.
Here was a man truly intuitive. Truly genius. Living in South India who thought Perumal taught him mathematics. Srinivasa Ramanujan.
Many ask where is his genius ?
GHHardy gave him a mental stimulus model suitable to Ramanujan in partition of numbers.
That's guidance. That's brilliant GHHardy. That's one great teacher.
I am moving towards making a fractional log sheet. I have completed for 2 to 3. For others it is 3, 3.5, 4, 4.5 . . . . . . till 501.
Here is my log sheet
I need a team for making 3.1, 3.2, 3.3, . . . . . for all till 500. Any volunteers?
It will help in banking and financial systems as a backup calculator.
Have a nice day !!
I am focusing on log sheet these days.
The original log system must have been developed in 1740s, 1750s. When Euler made e to the power i into x. The British mathematicians had trigonometric functions. Euler "magically " combined trigonometry with numbers and gave all of us "mathematics of the working of world".
In India, in early 1900s a young man in south India, Ramanujan showed amazing mathematical intuitions. Prof. GHHardy of Cambridge University discovered his brilliance. Of particular significance is the fact that Ramanujan "got a number". Later day mathematicians then came to know that this "magical number" actually showed decimals after 90 or 100th place.
India was a British colony. Ramanujan had to be taken into Cambridge University. GHHardy did that. He was absolutely kind gentleman and worked with Ramanujan and gave us Indians Ramanujan Theta functions and Ramanujan Tau functions.
Ramanujan Theta functions and Ramanujan Tau functions were in reality the more suitable number functions for India. And not e^x and log(x).
But Nehru wanted technology for India. Independent India got exposure to mathematics of science. Mathematics of technology. Ramanujan Tau functions and Ramanujan Theta functions got a backseat. They are of interest to only a handful of PhD guys these days.
I got hooked up to one particular mathematical thought in 2024. Working on this for two years I made KAAL number. And now I made log sheet. This is not "Ego". This is statement of facts.
I think I have made a "Final log sheet". I shall paste it tomorrow. Because it is in office computer.
That's all folks. Enjoy your Sunday.
I will get into drawing and music mode from Tuesday. Unless I get a chance to work on advanced computer from "the society ".
Then I will develop my log sheet.
This is my best log sheet as of date.
I look forward to your comments.
Have a nice weekend guys !!
I am working on improving the deviation in my log table.
I am using "Excel Calculus" for that. 😄😄😄
Here is the result in Excel fields.
However, this result is also there.
Have I improved with "Excel Calculus"?
Have a nice day !!
I did a lot of work on log tables. I got 1 zero after decimal and the 2 place within 5. In my log and KAAL number relationship. This would mean 2 to 3 places of accuracy in log sheet based application in calculations.
But I hear that this is not enough.
I think we need calculus. To get more accuracy in log sheet. Because with uniform change nothing much can be achieved beyond this.
I asked Google AI a lot of question in calculus. Is not a small change for a small number larger than the same change for a larger number ?
It was an interesting session with Google Gemini.
I think this is the end of my log sheet endeavors. Further development will need joint work in a team. To deliver calculus.
Bye for now.
Imagine a Tamilian posted to Jharkhand. A Punjabi posted to UP. A Bengali posted to Tamil Nadu. A Keralite posted to Bihar.
How much fun !! For onlookers.
But what about the mental state of the individual posted. Not only does he become demotivated but he loses self esteem.
Welcome to SAIL Personnel System !!
Why need motivation? Am I a corruption based entrant?
SAIL is corrupt. Not me.
A better log inspired sheet has been made.
Now the results are more accurate.
Hope you like it.
Have a nice day !!
Here is what I think of Englishmen.
Sir Isaac Newton. Thumb from the gravity of ground.
Sir Andrew Wiles. Safeguarding Her Majesty.
Now, these questions arise in my mind. Will my Qayanat Calculus deliver good results? Can India be proud of its knowledge base?
Given below is the log sheet developed by me.
It is not effective as log and e or log10 and 10^x systems we have. They are far too better.
There are some features of my system which can be considered by eminent teachers and professors. They are:-
1. Indigenous system.
2. One sheet is enough.
3. Only sum, multiplication and division functions of Excel used for making this sheet.
4. Fit for Indian elderly education.
5. Fun game for children.
These are the points that come to my mind. Have a nice day !!
I have seen the Microsoft Excel sheet. The log(x) and e^x system is far too better. Do you accept it ?
Yes, I accept that log(x) and e^x are far better. I have written about it in write up below.
You have also added up the current value with previous value in one column of Microsoft Excel. In what way is it valid ?
My foundation is of consecutive numbers. And also 1 plus 2 plus 3 at an instant. So I believe it is valid that I add the current value to previous value.
I see. What next ?
I am thinking of "Qayanat calculus ". We can involve our neighbor Islamic countries and build consecutivity thing. His Majesty Government will have to be consulted first. We are not of ruler/scale. We are of next number. And that is what is the mindset of subcontinent.
Thanks.
Thanks.
I have build log equivalent tables. They are okay. But not good enough.
Below is the work in Microsoft Excel.
And write up regarding my log tables.
Have a great Sunday !!
Here are two screenshots. They are nearly equal.
If we make log like system for 4.4^(1/x), then we can utilize the fact that (2n+1)/(2n) and 4.4^(1/3n) are same.
Thanks. Have a great weekend!!
In the following, the numerator and the denominator are nearly same. Therefore they give about 1 as an answer.
You may observe that as the number in the top of binomial becomes more, more is the tendency towards equality.
And My Lord, my shepherd.
Have a nice weekend, guys !!
I watched 3 Bhagyaraj movies recently. I enjoyed them. They were
1. Mundhanai Mudichu
2. Andha 7 Naatkal
3. Vidiyum Varai Katthiru
I am planning to see one more Bhagyaraj movies today or tomorrow.
Have a nice weekend, guys !!
Consider the following KAAL number formula that I discovered.
Here are the mobile screenshots to confirm.
Have a nice day !!
Here is a gamma function.
And the Wolfram Alpha screenshot for 3.75!
Have a nice day !!
A lot has been written about KAAL number. There are possibly many confusions because I tried "too much" to make them "accurate". Also I was "hell-bent" on making a gamma function.
This blog post straightens many things.
KAAL number is (Kirtivasan, Abhaya, Akshaya, Lata) number.
Its value is 4.4
I am not doing any gamma equations with KAAL number.
It gives approximate results. Not any of the results are accurate. That is the beauty of KAAL number. Its beauty lies in its approximations.
Write up
I am using a number 67.89 in all the below expressions.
Infinite series RHS
Infinite series LHS
One(x)
Zero(x)
Expression 1
Expression 2
I wanted to finalize my expressions on KAAL number. I am not getting into gamma functions. I am not making 4.4 more accurate.
Goodbye for now !!
The combination formula binomial(n,r) is now made continuous. This means that one need not go back and forth or up and down but keep moving ahead.
Here is the formula and an example with it.
That is why binomial distribution are so natural. It is continuous.
I feel ecstatic. I hope you like the expression.
Below is the Wolfram Alpha screenshots for binomial(7,2) and binomial(8,3)
Have a nice day !!
Right from my childhood I would wonder why there is no formula for a^n-b^n and a^n+b^n.
I have fulfilled this dream of mine yesterday. It took me whole Sunday to do that. 😄. My mathematical prowess is weak. But my intuitions are okay, I guess.
Here are the formulas.
They are not exactly a^n-b^n and a^n+b^n. But the values can be computed.
Have a nice day, guys !!
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.
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 !!
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 !!
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 !!
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 !!
Frank Rines in landscape
Proko in anatomy shading
Kim Jung Gi in comic drawing
