Sequences of Numbers in Chamakam and their Significance?

 Sequences of Numbers in Chamakam and their Significance

Sri K Suresh, in a Youtube Video [1], indicated that a particular sequence of numbers in Chamakam interested him.

People, who are not familiar with Chamakam and the numbers, may refer to this Blog [2].

The numbers are: 1, 3, 5, 7, 9, 11, 13, …, 33.

These numbers are not sequential. There appears to be no pattern to them.

Sri Suresh decoded them and found that the sequence of numbers is actually the Differences of Squares of a sequence of Natural Numbers from 1 to 17. That was a good discovery.

But, what do the resulting numbers in Chamakam represent? The numbers could be a coded message of some type. I liked to find out.

I did an Internet search with the keyword Chamakam, which led me to a number of additional references. I am reproducing a few links at the bottom. [3]

The numbers of interest are the sequence of natural numbers, the difference of Squares of successive numbers, and the sum of the successive squares of numbers. Thus, there are three sets of numbers, which would be seen in Figure 1.

Figure 1: Table Showing the Method to Arrive at the Numbers in Chamakam (Source: Screen Clipping from Reference [1]))

The process or method to arrive at these numbers is shown in Figure 2.

Figure 2: The Method to arrive at the Table in Figure 1.

We notice three sequences as follows.

Sequence of Natural Numbers = 0, 1, 2, 3, 4, 5, 6, … 17

Sequence of Squares on Natural Numbers = 0, 1, 4, 9, 16, 25, 36,  … 289

Difference of Squares of two successive numbers =  -, 1, 3, 5, 7, 9, 11, 13, …, 33

The successive difference between any two numbers = 2

Sum of the Successive Difference of Squares of two successive numbers =  -, -,  4, 8, 12, 16, …

Each Sum of the Successive Differences of Squares differs from the prior one by a constant value = 4.

Incidentally, this sequence of numbers is also the sequence of successive natural numbers with each number multiplied by 4, i.e. 4 * (0, 1, 2, 3, 4, …).

While this derivation and arithmetic interpretation is interesting, I wondered what significance these sequences of numbers may have. I checked with friends knowledgeable about texts in Dharma Sastras such as, Sri Rudram and Chamakam if such sequences of numbers were referred in any other context. I will post their responses with their permission when I get them.

As I pondered over this puzzle, the idea of squares of numbers suggested to me areas of surfaces of structures. I wanted to see how a geometric representation would look like. The difference in squares of natural numbers can be represented as the area of a surface formed when two squares intersect as in the plan view of a structure. Thus the series of numbers can be referring to a series of the surface areas as shown in Figure 3. Could the numbers be pointing to a Structure?

 

Figure 3: The sequences of numbers may represent the areas in the plan of a structure.

That leaves us with the question as to what the other sequence of numbers would represent. The sum value can be the height of each segment as shown in Figure 4.

 

Figure 4: A Structure that may represent both sequences of Numbers.

Of course, this prompts the question if there is any physical structure specified in the literature with such proportionate dimensions. Of course, that is for the experts to respond.

In the above figures, square shaped bases are shown at each elevation as the discussion dealt with Squares of numbers. However, the base can also be circles as a circle will have an area equal to Pi R ^ 2.  Such a structure can look like that shown in Figure 5.

Figure 5: A Structure with Circular Bases.

It occurred to me that since a sphere has a surface area of 4 Pi R ^ 2, the sequence of numbers may represent the difference between the surface areas of successive spheres. But, I could not think of a geometric representation that shows the difference between the surface areas of two spherical segments. Roofs of a structure take such surfaces. I will try later on if it works out. 

Sri Panchanana M.R.L.N. presented a geometric explanation for these sequences of numbers in Chamakam. [4]

Another blog, “Mathematics in Chamakam” explains the significance of these sequences of numbers in cultural and religious terms as boons sought by worshippers. [5]

 Well! That brings me to the end my ability to think on this topic for now. Hence, I am posting this explanation on the Social Media and am requesting friends to reflect on the question with their knowledge of arithmetic, geometry, and the Dharma Sastras. They can provide a fuller and better explanation.

Now, it is the turn of my friends.

References:

[1] Sri K. Suresh, “Chamakam Decoded | Difference of Squares, My Meeting with Sringeri Swamigal,” Sep 16, 2020 https://www.youtube.com/watch?v=h6ERtEnpcvM

[2] Connect Science To Divinity: Mathematics In Chamakam

[3] Additional Links to Chamakam and Mathematics:

http://isatsang.blogspot.com/2016/07/construction-of-odd-and-even-numbers-in.html

https://vivekitam.wordpress.com/2009/04/28/geb-properties-of-natural-numbers-and-chamakam/

http://connectsciencetodivinity.blogspot.com/2017/04/mathematics-in-chamakam.html

http://satyamparamdheemahi.blogspot.com/2014/01/rudra-chamakam-numbers.html

http://nrsrini.blogspot.com/2012/01/what-do-odd-and-even-numbers-in.html

https://www.astrojyoti.com/srirudram.htm

https://medium.com/@chinmayi.kanugonda/unraveling-the-secrets-of-rudram-athi-rudra-maha-yagya-b4b241ce29f8

https://www.livermoretemple.org/hints/content/html/Maharudram_description.pdf

https://www.starbrightokanagan.ca/forum/chamakam-11th-anuvaka-meaning-88345d

https://www.linkedin.com/pulse/science-essence-sri-rudram-sivkishen-lionlinked-gmail-com/

[4] Geometry of "Roof of Garbhagriham" in Rudradhyayam of Yajurvedam: Pythogorean theorem in Chamakam (chamakamgeometry.blogspot.com)

[5] http://chamakamgeometry.blogspot.com/2013/05/geometry-in-chamakam.html

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Bio of Som Karamchetty, PhD

 

Som Karamchetty, PhD

     After working as an executive and as a senior staffer for sixteen years, Som retired from the US Army Research Laboratory (ARL) in 2004. Som was on the faculties of Indian Institute of Technology, Kharagpur, India, The University of Newcastle, Australia, and Drexel University, Philadelphia, PA as a full time member, or a visiting professor for over two decades.  He served as the ARL Distinguished Visiting Professor at Naval Postgraduate School, Monterey, CA in 1996.

     In a sixty year engineering, applied research, and management career, he delivered several reports to customers and inventions to his employers, and received three patents and several awards. He was chosen as the Principal Technology Investigator for Artificial Intelligence and manager of advanced technology projects at Martin Marietta Data Systems. In 2016, he published a peer reviewed paper on hierarchical engineering model of the human body in the American Society of Mechanical Engineers (ASME) publication.

     Dr. Karamchetty received M Tech and PhD degrees from IIT, Kharagpur, and BE (Hons) from College of Engineering, Kakinada, India. Trained as a Program Manager from the Defense Systems Management College (DSMC) he was admitted to the US Army Acquisition Corps in 1993. He is a life Member of the American Society of Mechanical Engineers (ASME), held ASME committee positions, and was also a member of several professional associations.

     As a volunteer business mentor with SCORE Association from 2004, he counseled over 2,500 clients with a good fraction of his clients having started businesses and created jobs. He was honored as an Emeritus Mentor.

     He continues to write new concepts and proffers suggestions in a number of areas and works to help India and US in technical and business sectors.

A Report on the plight of US unless it corrects its course

 

The Right Course for US

Here is a very interesting and informative presentation at the link below. The US should look at it as a warning sign.

What we consume and what assets we have are not measures of our likely future. What we produce and what our capabilities to produce are the real indicators of our future.

The US should bring its production home and to very good friends in order to begin producing everything we need. Otherwise, before long, the workforce will forget how to make anything. Here are the indicators.

Over a half a century ago, young people used to distribute newspapers, help mother in washing dishes, assist dad in mowing the lawn, do child minding, work part time as waiters and waitresses in restaurants, and so on. They knew how to do manual work to earn and save money, and to create wealth for themselves and thus for the nation. Consequently, they used to grow up with good communication, marketing, making, and management skills. American farmers produced enough grains to help the hungry nations.

Now, children and young people get pocket money from parents to buy imported electronic devices and apps to play games using only their fingers. Parents take loans so that the children can pursue soft subjects in school and college.

Americans get immigrants to do manual labor. The immigrant laborers use imported machines and tools. We have no strategic plan to train unskilled laborers. The result is that they remain unskilled forever needing basic welfare benefits. Our academics do great theoretical and analytical discoveries and inventions. However, it is known that such creative ideas and concepts yield only single digit wealth while the final manufactured products yield high double digit returns.

We started counting a few hundred billionaires while ignoring hundred million families unsure of their future.

We should start making things before we forget what manufacturing is.

We should begin exercising our limbs again lest we suffer muscular dystrophy.

We should get back to building bridges and canals for international trade and development lest we are forced to build space high walls to defend our lands.

We should enrich our workforce skills along with advanced robotic and AI/ML technologies so the machines serve us lest we get forced to serve the masters of such machines.

We should deploy our intellectual, creative, communication, and manual capabilities so that all citizens work and enjoy the fruits and flavors of our combined effort.

Here is the link.

https://www.turkishnews.com/tr/content/wp-content/uploads/2020/07/THE-CHINESE-ARE-LEAVING-US-IN-THE-DUST.pdf

THE CHINESE ARE LEAVING US IN THE DUST!

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Claimed benefits of Subhas Palekar Method of Farming

Palekar Method of Farming

Here is a short note and some links that discussed about Palekar method of Farming.
It is worthwhile reading, analyzing, and evaluating this method for scaling, and then adopting it.

It appears that Palekar method of farming is quite beneficial to farmers, especially with small acreages in India.

Here are some claims:

It is yielding 5 to 10 times financial returns than before.

It provides a continual cash flow to farmers.

It uses local labor but not in large quantity.

It uses machinery to a small extent.

It is quite suitable for farmers holding 1 to 10 acres.

It utilizes cows thus helping the Hindu cause.

It is good for multiple products that are also organic.

It does not use chemical fertilizers and pesticides.

It requires a small investment of money.

It requires the framer to learn the technique, which is not complex.

It utilizes domestic varieties of seeds.

Here are some links:

http://ww7.palekarzerobudgetspiritualfarming.org/

https://en.wikipedia.org/wiki/Subhash_Palekar

I have some posts on Facebook; here is a link:

https://www.facebook.com/SomKDSR/posts/10158405401385406?__cft__[0]=AZUDcDjQYvV1oSA8662ekO89VANN4B9cjsC1l5woWAC4Q7tGu2aJK7ThIRL__VL6wVGpxi7PfFlATE3Z18Q9nJTLhcIXxhwyu-2bZDpNrTeGLfs0WAukweoad3CBBgnHJCw&__tn__=%2CO%2CP-R

More:

https://www.pureecoindia.in/an-open-letter-to-subhash-palekar-who-claims-organic-farming-is-worse-than-atom-bomb/

https://www.ecologise.in/2019/08/15/budget-zero-budget-farming-a-response-to-subhash-palekar/

https://timesofindia.indiatimes.com/city/nagpur/zero-budget-farming-inventor-palekar-is-modis-go-to-agri-man/articleshow/70097986.cms

https://www.facebook.com/zbnfonline/

https://spnfhp.nic.in/en-IN/spnf.html

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A Strategic Plan is needed to address the Problems of the US Black Community

Black Lives Matter - Need for a Strategic Plan

By Som Karamchetty, PhD

     The Need for the development of a Strategic Plan is suggested here. It starts with identifying the Basic Needs of the Black community. Maslow's Need Hierarchy is the appropriate framework to analyse the Needs. It will be realized that the prior attempts like Equal Employment Opportunity (EEO) and Affirmative Action (AA) have helped a small fraction of the community, while the vast majority have been  forsaken. It has actually been costing the nation in terms of welfare payments to the vast majority as well as wasted human potential. Therefore, it is essential to get a good handle on the Needs of the large majority of that community and address them.
     Once the Basic Needs of the majority of the community are identified, the nation should build step ladders such that people can satisfy their basic needs, move up the ladder, and become highly contributing people. In practical terms, it may only require training in knowledge and skills of the modern technological economy, provision of the tools, and networks. A Strategic Plan should be developed, resourced, and executed. It will actually have a high return on investment both economically and socially.
     Leaders of the Black community have a higher stake in taking the lead in putting forth a plan for the Strategic Plan in collaboration with the majority of Americans.

Here is a presentation explaining the concept and method.