Showing posts with label Krishna. Show all posts
Showing posts with label Krishna. Show all posts

Sunday, 28 September 2014

The Temples of Ancient Wisdom -Part Two

While growing up all these years(I assume you have spent quite a few years before accessing internet, and therefore this post), you would have definitely visited a number of religious buildings and monuments, where you are convinced Gods reside. Let me have the freedom to assume, all along these years, you would have visited places and monuments spreading across different religious verticals, beyond your own.
So think of it, these are places to pray, to meditate and to connect to God. Peace, is what you are supposed to find here. But, have you ever thought of or heard of a place of God, where they actually teach you a form of combative fighting? One of the deadliest in the world! If you still haven't figured it out, I am talking about Shaolin temples.

There are numerous Buddhist temples all around the world, and nowhere else is martial arts taught. The founder of Buddhism, Gautam Buddha himself is the most perfect symbol of peace. Then what made Shaolin Temples teach one of the deadliest arts to its disciples? If you follow my blogs closely enough, you know where all this would lead to. Exactly, India!
History books talk about a Bodhidharma who is believed to have started teaching KungFu in Shaolin Temples, in a way, the actual creator of Shaolin Temples  as we know them today. His story of how he reached there and started teaching Kung Fu and martial arts is yet another interesting matter demanding further analysis. The point here, however, is that he was an Indian who lived in 5th century CE.

Bodhidharma himself was an Indian of the then ruling class who migrated to China in search of peace and spreading Buddhism. The question here is, what made him teach Kung Fu at a place designated for prayers and Godly connect. Did he get influenced by something he was used to seeing back home? Were fight forms taught at Indian temples as well?

Hello and welcome to the second part of my previous post on The Temples of Ancient Wisdom. The earlier installment was liked, appreciated and re-shared by many on various social media platforms. So, thought of writing a second.

Kalaripayattu: One of the oldest fighting system in existence, Kalariyapayattu is now mostly practiced in Kerala, and parts of Tamil Nadu. This was first documented in 11th century CE, but has been practiced in India since long back. 
Whats fascinating is, Kalariyapayattu is practiced at Kalari, or places where it is a norm to first meditate and then start practicing, Whats even more fascinating is that this art is still taught at many temples of Kerala and Tamil Nadu.
Other prominent styles of fighting, like Mall-Yuddha, primarily made famous by Bheem in Mahabharata were also practiced and taught by sages and saints of ancient India. So, temples in ancient India were not averse to fighting styles and their practice in the premises.

Interestingly,  Kalaripayattu is still taught in the Indian Shaolin Temples, thus completing the full circle, in a way.
But, this brings us to question, were ancient Indian temples much more than a mere place of worship?


Centers of art, culture, science: While you are planning your next trip to any place in India, do make it a point to visit the Sun Temple in Konark, Orissa.
Though no more a working temple, the temple was developed primarily to worship Sun and all the sciences associated with the movement of earth round the sun. 
As per the locals, there was a huge magnet kept in the center of the temple which had bind the entire temple structure together. This was a unique marvel in itself, as the temple was using the magnetic fields to bind the entire huge structure together without binding them physically. However, the magnetic fields turned out to be so strong, that they would easily deviate and confuse ships and cargos on their way passing near Konark. The Britishers then removed the magnet, and a part of the temple collapsed. As its a practice not to pray in broken temples, the temple was closed forever for worship.
So, while there is a big circular structure which would tell you the exact time based on where the sunshine falls in which weather, there are also depictions of a camel and a lady wearing a gown with a handbag on the walls of the temple, stuff which Indians had not even heard of in those times.

Even the temples of Khajuraho depict sexual activities in various forms on their walls. Here, we should remember, in ancient times, even sex was considered a part of education and was taught in schools. 
Ajantha Cave Temples depict the beauty and antiquity of the art and knowledge of those times, where the temples were not only designed for worship, but also to learn and study various forms of art.
A number of temples in the southern part of India depict various forms of dances, like Bharatnatyam etc on the walls. It was only in these temples, that these dances were nurtured and improved by the practitioners. 

Temples as liberal banks: What would you do if you were living in ancient times and had lots of money out of some business, in your possession?
Keeping it at home was still unsafe as someone might steal it. So, people used to deposit them at temples, the temples serving as liberal banks for general public. Though, they maintained accounts of all those who deposited their money and gold at temples, the temples also provided loans to the needy for their business and other activities. Needless to say, as it was deemed temple's money, the interest rates were practically nil and only a nominal transaction fees was deducted.
As the temples always had part of King's army, practicing various combative forms, it was considered very safe to deposit the money at these temples, as no one would be able to steal it from there.

Art and Imagery inside the Temples: Though I have already written about the art and illustrations inside ancient Indian temples above, it is important to note that the art and imagery wasn't random.
The images could be classified based on the dimensions when they were completed:

Chitra: The images were three dimensional and complete.
Chitrardha: The images were engraved in half-relief
Chitrabhasa: Images that were two dimensional and were mostly images and paintings

Another way of classifying the images would be by their expressive form when completed:
Rudra/Ugra: Images that were mostly meant to terrify, or induce fear. They would have wide eyes, carry weapons. These were mostly worshiped by soldiers before setting out for war, or after any calamity or widespread disease. These were mostly built outside the villages.

Shant/Saumya: These images were serene, and expressed peace and love. These images would carry flowers, and eyes will be narrow, and would carry some or the other icons of love, peace, knowledge, music. These were mostly constructed inside towns and villages.


Symbolism: In all my previous blog posts, I have emphasized heavily on predominant symbolism viable throughout Hinduism.. Be it the imagery of Gods like Shiva, Ganesh or the divine Goddesses or the symbols like Om or Swastika, or even the carriers of Gods, the Vahanas. Think of it, temples are the physical embodiment of all such symbolism spread across the entire premises of the temple.
As per Vedic scriptures, a temple based on ancient Vedic principles, is a symbolic reconstruction of the entire Universe and its symbolic imagery. The temple is the depiction of Hindu philosophy and its principles.
Most ancient temples would have a huge, splendid door, but would rarely have strict boundaries or walls. Instead, the ancient temples would have huge open spaces inside, where the devotee, being an individual, a couple or even a family may take their own time to get into the temple premises and then eventually seek for the God.
The entire structure itself is a huge symbolism of the world, where from outer world of sin, Asuras and Rakhasas, one enters through the gates into the central core of the temple, or the Brahma pada. And then spiritually and psychically lifting oneself up a symbolic space marked by the pyramidal structure transcending into the vertex peak.

The Six Important Constituents of an ancient Vedic Temple: A Vedic Temple primarily has to be comprising of six important constituents:

The Dome and the Steeple: The shape of the dome may vary from region to region, and is quite different as we move from the southern parts of the Indian peninsula towards their northern counterparts. The shape of the steeple, is often in the form of the Trishul of Shiva, and mostly symbolizes Mount Meru.

Inner Chamber: Garbha-Griha, where the image or the idol of the principal deity is kept. The chamber is mostly closed for the visitors and general public.

The Temple Hall: Large Vedic Temples have halls and chambers where people can sit and meditate. The hall is usually decorated with paintings and images from scriptures and Gods and Goddesses.

Front Porch:  This place is marked mostly by a temple bell hung from the high ceiling of the temple roof. Devotees strike the bell before they enter and while they exit. To know more about why we strike the temple bell, read The Temples of Ancient Wisdom

Reservoir: Most of the Vedic temples were constructed on the banks of some or the other river. If water was not available in vicinity, a reservoir was built to store fresh water. The water was used not only to clean the temple premises, but also to clean oneself before entering the temple.

Walkway: It is considered a holy practice to walk around the central idol clockwise seven times. This is called walkway and is constructed in every temple with a comfortable width where people can walk easily.




Jabaldarshana Upanishad states:

शिवमात्मनि पश्यन्ति प्रतिमासु न योगिनः |
अज्ञानं भावनार्थाय प्रतिमाः परिकल्पिताः || ५९ ||
- जाबालदर्शनोपनिषत्
This means a yogin perceives god (Siva) within himself,
Images are for those who have not reached this knowledge. (Verse 59)

The verse principally states that ideally, a person who has submitted himself completely to the devotion of the lord, or who has learnt the art and patience to meditate peacefully and with complete single-mindedness would never need an idol or an image to pray and connect to the Lord. That person is able to worship even without being surrounded by the walls of a temple. But those who haven't realized that state or height of meditation need imagery or idols in temples to worship. That is the reason, many temples have big corridors or huge passages without the idols or images where people can sit peacefully and meditate. For others, there is the very idol itself.

Because ancient Indian temples were built strictly on Vedic guidelines, thats why there would always be a common lineage of principles and attributes which they would build their temples around. Of course while there were differences between the temple building styles of north India as well as South India, the very basic foundations and principles were very much similar and binding to each other.

I would like to end this post now.
If you liked the above post, please click on Khoj-In Search of lost signs and like the page which opens up.
Also, you can subscribe to the posts and keep getting latest updates on your mail. yep, its that easy!!
Bidding Adieu for now.
Namaste

Sunday, 22 September 2013

The Twist in the Tale

So, which is the greatest story of all times?
Would you say, Godan? Or, Devdas? Or Sholay or Guide?
Or shall we expand the horizon? Gulliver's Travels? Dr Jekyll and Mr Hyde? What about The Godfather? The Dark Knight? Harry Potter? There are too many contenders, really. And I could have just missed your favourite pick.

What makes a good narration a contender for one of the greatest stories of all times? A twist, which quite often is not the very soul of the story, not even the protagonist or the narrator. A trigger which causes the very events to start and flow which form the very backbone of the entire story. The twist may not be that apparent or may even lose its face as the story progresses, but is the most important singular point in the story.
While in Devdas, the twist could be attributed to Narayan Mukherjee who caught Paro with Devdas in his room, Sybill Trelawney takes the honours in Harry Potter when she made the famous prophecy. Be it the villagers who caught Raju guide stealing from temple or Dr. Jekyll's insanity to differentiate from his wicked self. Be it the train robbery in Sholay or the shipwreck in Gulliver's Travels, not always have the twists got the recognition, or shall I say, coverage, they deserved.

What about the Mahabharata?

The first marriage: King Subala of Gandhara, which now falls around modern day Kandahar in Afghanistan, once performed a very holy Yagna in his kingdom.
An astrologer who had attended the Yagna advised him to get his daughter married off to a goat, to bring fortunes upon herself and her family. Heeding to his advise, King Subala got Gandhari married to a goat, and then killed the goat subsequently. Technically, this made Gandhari a widow and Dhritrashtra her second husband.
This fact, though a bit trivial, however was kept hidden from Dhritrashtra, the eldest prince of Kuru kingdom, who was blind since birth. Gandhari had voluntarily decided to blindfold herself throughout her married life.

The moment of truth: Dhritrashtra, eventually learned about the truth of her wife, and decided to punish the entire Subala clan. He imprisoned all of them, and used to supply one handful of rice for all of them every single day. With such a meager amount of food, most of the members of the family died eventually.
King Subala decided that one of them should live and avenge the death of the entire family. From then itself, all the rice allocated for the family was fed to the youngest son, who eventually went on to become stronger and much sharper than before.

Why Shakuni?: Subala had 100 sons whom Dhritrashtra had imprisoned when he came to know of the absolute truth about his wife's marriage to a goat. Subala decided to take a test of all the sons, so as to decide who would be getting that one handful of rice to live and sustain and avenge their family's destruction. He gave a bone to each one of his son, and asked them to put a thread through it. None of his other sons were able to complete the task when Shakuni tied the thread to an ant who went through the entire length of the bone to reach a grain of rice at the other end.

Death of Subala: Subala realized that he could no longer survive, and would eventually die of hunger, he requested Dhritrashtra to forgive him and his only son left till then. He promised that his son would not claim any right to his throne and would always be a guardian to all the 101 children of Dhritrashtra, the Kauravas.
Dhritrashtra took pity on the old man and freed him eventually.and his son.

The Twist in the Tale: King Subala, before dying, instructed to make a pair of dice from his bones, which would always produce the numbers requested by him. He also asked Shakuni to be the reason of downfall of the entire Kaurava clan.
As promised, Shakuni became the guardian of the 101 Kauravas, and was the sheet anchor of the entire "Chaupad" episode in Mahabharata, which then led to the very war of Mahabharat. He provoked the Kauravas to do all the incorrect acts and thus formed the very basis of all the wrongdoings of Kauravas.
As per other legends, it is believed that when Bhishmapitamah brought the matrimonial proposal of Dhritrashtra for Gandhari. The royal Gandhars felt angry and insulted that their princess was proposed of marrying a blind person. The Kurus were mighty kingdom, and refusing the proposal of a mighty king was akin to being suicidal, so they were left with practically no choice but to accept the proposal of Bhishmapitamah.
The anger, however propelled the king and his son Shakuni to avenge for the insult and Shakuni vowed to being an important tool in eliminating the entire Kaurava clan.

The Smart moves: Shakuni, by his sheer intelligence and judgement of characters, was smart enough to sense the jealousy and anger trapped inside the heart of Duryodhana towards his cousin brothers, and how he also feared them for their chivalry. He had also judged Yudhishtir's love for gambling and how he could be manipulated to keep playing in spite of losses.
Another smart move which Shakuni applied was that he had guessed Krishna as one of those persons who would be able to successfully foil all his plans for Kauravas in pitching them against Pandavas. For this reason, each one of his manipulations and moves was done at a time when Krishna was away from the Pandavas.

The Tricks and Tweaks: To say that Shakuni was the brains behind all the master plans which the Kauravas instrumented against Pandavas, would not at all be exaggerating things. He was the brains behind cajoling Yudhishtir to play Chaupad and then lose all of his kingdom and royalty, right to his family to Duryodhana. He again, was the one who suggested 12 year exile for Pandavas and 1 year anonymity exile after their loss in Chaupad. He was the one who suggested to wage a war against the kingdom that was holding the Pandavas secretly, so that they are revealed and they may again be sent for 12 year exile.
It was Shakuni idea to burn down the house of lac where Pandavas were supposedly hidden and could have died, and also it was his idea to send Durvasa sage to the forests where the Pandavas were living so that he may curse them.

A figure to worship?: Even though, unlike Ravana, the name of Shakuni is associated with pure villainy, a temple of Shakuni is located in Kerela at Pavitreshwaram. The temple as such doesnt encourage any puja or worship, just a few offerings are  made in the form of coconuts.

It is notable indeed that in his endeavour to avenge the destruction of his family, or maybe to help his nephews out in defeating the Pandavas, Shakuni himself never properly ruled his own kingdom. Seeing the atrocities he meted out on Pandavas, keeping Kauravas in front, Sahadeva, one out of the five Pandavas vowed to kill Shakuni and avenge all that he did to hurt their dignity and prestige. Shakuni had two sons, Uluk, who was killed by Nakul and Kalikeya, who was killed by Abhimanyu. Shakuni himself was killed by Sahadeva on 18th day of Mahabharat.

Symbolically, Shakuni represented the Dwapar Yuga, a time when brother would kill brother in the quest for power, and Shakuni was the catalyst.

Twists have a peculiar habit, they make a story a legend, but somehow get lost amidst the main themes, the protagonists, the major players of the story. Shakuni, as such, doesn't enjoy any kind of divinity which his contemporary characters command and receive, but his role in one of the biggest epics of all times, certainly deserves a special mention

Coming up with a book based on Indian history/mythology.
Please join the Facebook page and invite others as well to do the same.
Please help me promote the book and the page and make it a huge success.

Please click here and like the page which comes up - Finders, Keepers

I would like to end the post as of now, and would like to know what you thought about it. If you are on Facebook and are interested in such topics, please click on the link below and like the page which comes up.Khoj-In Search of Lost Signs

Also, you can subscribe to the posts and keep getting latest updates on your mail. yep, its that easy!!.


Monday, 22 July 2013

Katapayadi Sankhya

गोपीभाग्यमधुव्रात-शृङ्गिशोदधिसन्धिग । 
खलजीवितखाताव गलहालारसंधर ॥


Gopibhagya madhuvrata srngisodadhisandhiga|
Khalajivitakhatava galahalarasandhara||



Oh Krishna, the fortune of the Gopis, the detoryer of the demon Madhu,
protector of cattle, the one who ventured the ocean-depths, destroyer of evildoers,
one with plough on the shoulder and the bearer of nectar, may (you) protect (us)!

The shloka above, seems to be one of the many written in praise of one of the most enigmatic and divine Lords of Hinduism, Krishna. The shloka, like many others, praises certain attributes of Krishna and requests him to protect the devotee.
So, what is so special about this shloka, that out of all the shlokas dedicated to Krishna, this particular one turned out to be the starting point of this post?

Simple enough, the shloka demonstrates one of the strongest and most intelligent examples of extreme knowledge and wisdom of our ancient men.

Grahacāraṇibandhana based in the year 683 CE and Laghubhāskariyavivarana based in the year 869 CE speak of a certain numerical notation which goes by the name of Katapayadi Sankhya.
Under this system, a number is ascribed to each and every alphabet of the script, a concept highly similar to the ASCII system in computers. The image below would better explain the relation between the alphabets and the numbers

So, based on the above method, if the letters in the shloka are replaced by the corresponding numbers, i.e. 'go' by 3, 'pi' by 1,  'bha' by 4, 'ya by 1' and so on, the following result is obtained:
31415926535897932384626433832792
The number, as obvious, is the decimal representation of pi upto 32 decimal places.
Who could have thought encrypting a mathematical concept in a devotional Shloka dedicated to Krishna?

So, what do they gain out of it by performing such extraordinary feat? The answer is two-fold.
Firstly, they used methodologies like this to check the correct usage and pronunciation of the verses, where every variation from the correct mantra or shloka would result in an incorrect rendition of the pi number(or any other system which they would have encoded)
Secondly, they used concepts like above to perform encryption and decryption so that the message would reach the intended receiver and no one would be able to catch the real meaning of the message.


Karanapaddhati: Written in the year 1733 CE by mathematician Puthumana Somayaji, the book consists of 10 chapters in total. Our  interest, however is in the 6th chapter.
In the 6th chapter, is given a shloka in Malayalam,


anūnanūnnānananunnanityai
ssmāhatāścakra kalāvibhaktoḥ
caṇḍāṃśucandrādhamakuṃbhipālair
vyāsastadarddhaṃ tribhamaurvika syāt

Not exactly Katapayadi system at play here, this is similar to encrypting formulae or constants in shlokas.
The above shloka, when translated simply means
"The circumference of a circle of diameter anūnanūnnānananunnanityai(10,000,000,000) is caṇḍāṃśucandrādhamakuṃbhipālair(31415926536), which, in turn, gives the value of pi till 10 decimal places.



Representation of dates:


palahāre pālu nallū, pularnnālo kalak kilāṃ
illā pālennu gopālan - āṃgḷamā sadinaṃ kramāl

Conceptualized in modern day India, based on Katapayadi Sankhya, the above shloka, which is in Malayalam, when translated, means that "Milk is best for breakfast, when it is morning, it should be stirred. But Gopālan says there is no milk - the number of days of English months in order"
True to its meaning, when the pairs of letters are substituted in accordance with Katapayadi system, yields
31 28 31 30 31 30 31 31 30 31 30 31

 The Vatsyayan Cipher:
Interestingly, the first written example of encryption in the entire history is found in the most unexpected source. The method, not that strong in that sense, is still used by army and security forces in a much more complex and stronger form.
As per Vatsyayan in his book Kamasutra, a girl needs to have certain attributes and learn certain arts and tricks, including how to cook, how to read and write, and how to send her lover secret messages which no one else would be able to decipher. Vatsyayan even goes on to give an example of such a cipher in the book.
The method is based on substitution cipher. Each alphabest would represent a certain another alphabet. The image below would explain the substitution cipher better:
So, the substitution cipher was invented in ancient India.

Validating the Shlokas:
Almost every major deity of Hinduism has a certain "Shata-Namavaali", or a list of 108 names dedicated to that deity. Shiva and Vishnu  have a list of 108 names dedicated to them. 
Venkateswara Ahtottara Shatanamavali is a list of 108 names dedicated to Lord Venkatesha.
Needless to say, if any of the name is forgotten by a devotee, the hymn would never be complete. 
It is always easier to remember a certain list of they are in a certain order.
For the same reason, and for validating the occurrence of all the 108 names in the order in which they are written in the text, a certain Anustup Chanda was composed, which consists of 4 shlokas, which are made up of the first letters of all the 108 names, in that order, thus validating the 108 names.


अनुष्टुप्छन्दसि चत्वारः पादाः भवन्ति प्रत्येकपादे च अष्ट अक्षराणि।श्लोके षष्ठं गुरु ज्ञेयं सर्वत्र लघु पञ्चमम्।
द्विचतुष्पादयोर्ह्रस्वं सप्तमं दीर्घमन्ययोः॥
अस्य छन्दसः षष्ठम् अक्षरं गुरु पञ्चमम् च लघु। सप्तमम् अक्षरं प्रथमे तृतीये च पादे गुरु, द्विचतुष्पदयोः सप्तमम् अक्षरं लघु भवति। सप्तमम् अक्षरं यथाक्रमम् परिवर्तते, प्रथमपादे गुरु द्वितीयपादे लघु तृतियपादे गुरु चतुष्पादे लघु।


Encryption or Miracle?
The most interesting part of this entire post, Sri-Raghava-Yadaveeyam deserves a distinct status altogether. Not exactly a work of the ancient Vedic men, this short text of 30 verses, which was compiled in the 17th century, actually deserves a separate blog post altogether. 
The name of the text itself, is quite curious. While the first part of the name of the text denotes Lord Rama, the latter, Yadava, denotes Krishna.

The 30 shlokas in the text, describe glimpses of Rama's life and works. Sample a verse from the text:

वंदेSहं देवं तं श्रीतं रन्तारं कालं भासा य:।
रामो रामाधीराप्यागो लीलामारायोध्ये वासे॥

The above text translates to
I pay my obeisance to Lord Sri Rama, who with his heart pining for Sita, travelled across the Sahyadri, returned to Ayodhya after killing Ravana, and sported with his consort, Sita, in Ayodhya for a long time.

The translation justifies the term "Sri-Raghava" in the name of the text. But, why the reference to Lord Krishna, as in the name of the text?

Now, the above text is read exactly in the reversed order:

सेवायेध्यो रामालाली गोप्याराधी मारामोरा:।
यस्साभालंकारं तारं तं श्रीतं वन्दे अहं देवं॥1

Interestingly, the above translation means:
I bow to Lord Sri Krishna, whose chest is the sporting resort of Sri Lakshmi who is fit to be contemplated through penance and sacrifice, who fondles Rukmani and his other consorts, who is worshipped by the Gopikas, and who is decked with jewels radiating splendor.

Astonishing, isnt it? The 30 shlokas when read in the order which they are composed in, describe the story of Rama, while when they are read in reverse order, describe the story of Krishna. Needless to say, the strong computational attributes of Sanskrit are at play here. And though I have been able to take up only one such Shloka here, the entire composition is an astounding work in itself. 
The text projects the strong computational, and hence encryption prowess of Sanskrit and also how smartly Sanskrit could be played with to create magnificent compositions

With that, I wish to bring an end to my post. The purpose of this post was to bring forward the same familiar concept, that not only were our ancestors religious, but all the concepts around religion and their lifestyle, overall was highly scientific and analytic in nature. Encryption was already in use and in place very smartly, the reason why most of the ancient texts is still considered unsolvable by our neo-modern intellectuals. What people claim to have invented or solved only lately, has been in place in this country since ages.


Coming up with a book based on Indian history/mythology.
Please join the Facebook page and invite others as well to do the same.
Please help me promote the book and the page and make it a huge success.

Please click here and like the page which comes up - Finders, Keepers

If you liked the above post, please click on Khoj-In Search of lost signs and like the page which opens up.
Also, you can subscribe to the posts and keep getting latest updates on your mail. yep, its that easy!!
Bidding Adieu for now.
Namaste

References:
1.) http://books.google.co.in/books?id=sEX11ZyjLpYC&pg=PA22&lpg=PA22&dq=encryption+methods+ancient+india&source=bl&ots=8-8qoGBlbD&sig=F9dEDJ8xrwEyZpBXauooNqhCOv0&hl=en&sa=X&ei=IbKdUdGJFMzhrAeOjYDAAg&ved=0CIYBEOgBMAk#v=onepage&q=encryption%20methods%20ancient%20india&f=false.
2.) http://ektariovee.blogspot.in/2012/12/sri-raghava-yadaveeyam.html
3.) http://www.cryptool-online.org/index.php?option=com_content&view=article&id=148&Itemid=386&lang=en
4.) http://en.wikipedia.org/wiki/Katapayadi_system
5.) http://en.wikipedia.org/wiki/Karanapaddhati



Monday, 17 June 2013

1,2,3


"The world owes most to India in the realm of mathematics, which was developed in the Gupta period to a stage more advanced than that reached by any other nation of antiquity. The success of Indian mathematics was mainly due to the fact that Indians had a clear conception of the abstract number as distinct from the numerical quantity of objects or spatial extension."
A.L. Basham, noted Australian historian

In the year 1911, noted Vedic scholar Bharati Krishna Tirthaji, a scholar of history, mathematics, Sanskrit and philosophy. and had made a comprehensive study of the four Vedas, Rigveda, Atharvaveda, Yajurveda, and Samaveda. Studying these texts for years, he was able to reconstruct a series of mathematical formulae, called Sutras. He continued the study for 7 years and compiled them together in a major single volume, which got published five years after his death, Vedic Mathematics, in the year 1965.

Repeated attempts of a few British mathematicians finally bore results duting the years 1981 to 1987, when Vedic mathematics started being taken seriously. A number of London and Indian schools took it up as subjects, and intellectuals started delving more time and energy into the same.

The Content:
The entire Vedic mathematics is divided into 16 Sutras or formulae, which when translated to english and analyzed, makes up 19 major aphorisms and 14 sub-aphorisms. It would be a bit too ambitious to include each one of them here, I would like to pick up a few simpler ones  which would strengthen my point..


Mental Multiplication:
So, what do you do when you are to multiply, say, 78X92?
You jot down the numbers hurrily on a notepad, do a quick 8X2, write down 6, carry over 1...blah blah blah...something like this
    78
    92
  156
702X
7176
Because thats what was taught in schools. Now, what Vedic Maths asks you to do is, think beyond the obvious(am I sounding like some management Guru?)
The nearest 10s base to 78 (and 92) is 100
Step 1) We subtract 100 from both numbers
78 - 100 = -22
92 - 100 = -8
Step2) Add 78 and 92 and subtract 100 from it 78+92-100=70
Step3) Multiply -22 and -8  -22 X -8 = 176
Step4) Carry the 1 from 176 and add it to the result obtained in Step 2 70+1 = 71
Step5)Concatenate the two 71 and 76=7176
And this can be done mentally, which is almost impossible in the first approach. A similar approach could be taken up for two digits or three digit numbers

Mental Squaring:
What would you do if someone asks you to calculate the area of a 42m X 42 m land? Again take out your notepad and scribble?
Or maybe take the above approach and solve it out much quicker?
Or maybe take another better and much interesting approach?
Step 1)Round of 42 to the nearest 10s, ie 40.
Step 2)Now add the remaining amount, ie 2 to 42 ie 44
Step 3) Multiply 40 and 44(much easier), ie 1760
Step4)Now take the number from step 2, ie 2 and square it, ie 4. Add the number to result of Step 3, ie 1764


Cubing a two digit number:
What would you do if someone asks you to find the volume of a 25X25X25 box?
Consider ab=25(where a=2, b=5)
Step 1)Cube a, is 8
Step 2)Divide b by a, ie 5/2=2.5
Step 3) Now write four subsequent products of a with the result of Step 2 and prepare a matrix
8    20     50     125
Step 4) Double the number at 2nd and 3rd place and add them at their subsequent places. Carry over the leftmost digit if the sum is of two digits
8    20     50     125
      40     100
8    60     150   125
8    60     162    5
8    76     2        5
15     6    2         5
The answer is 15625

Multiply and two 2-digit numbers:
If the base 100 method(the first in this blog), still looks tougher to compute mentally, or if you want to explore some more of it, here is another
Consider you have to multiply 12X34. Prepare a matrix of the two numbers.
1     2
3     4
Step1) Multiply ac, ie 1X3=3
Step 2)Multiply bd, ie 2X4=8
Step 3)Add ad and bc, ie 4 and 6=10
Step 4)Prepare another matrix mentally with the results of Step1, 3 and 2 respetively
3     10     8
Step 5) Carry over any extra digit to the left
4   0   8
The Answer is 408

More practical usage of Vedic Maths: Convert kilo to pounds:
Often people switch to Google in the blank of an eye when asked to fill up a form with weight as pounds(when they are more familiar with kilo). Or they would switch to their cellphones.
Well, its much easier to do it mentally, and a better way to keep the mind healthy.
If we have to convert 85 kilo to pounds,
Step 1) Double the kilos, 85X2=170
Step 2) Divide the answer by 10, ie 170/10=17
Step 3) Add the two numbers, 170+17=187, and thats the answer.(to the nearest integer)

Adding to time:
Whats the fastest way to calculate if the current time is 4:15, and someone asks you to calculate the time 2 hours 55 minutes later?
You first add the minutes and then the hours, which is quite simple as such, but then what would you say about this
Step1) Add 415 and 255, ie 670
Step 2) Add 40 to the answer, ie 670+40=710,and 7:10 is the answer

Concept of infinity and zero:
Two concepts highly useful in almost every practical application of maths in daily lives and even for astronomical calculations.
Infinity finds its first usage in the Yajurveda. Vedic men had several terms to describe what is infinity, ananta, purnam, asamkhya being few of them. Consider the following shloka out of the Yajur Veda,


पूर्णमदः पूर्णमिदम पूर्णत पूर्णमुदच्यते
पूर्णस्य पूर्णमादाय पुर्नामेवावासिश्यते 


From infinity is born infinity. When infinity is taken out of infinity, only infinity is left.
Till then, the Greeks used to distinguish between numbers with positional systems, like 27,207,270 would be represented as 27, 2 7, 27 . this system did not provide much flexibility to them to write large numbers with regular instances of 0.
Similarly, Romans didnt have the concept of 0, and had to write numbers like 101,000 as 101MMM.
AtharvaVeda described how the vale of a single digit number increases by 10 by writing 0 in front of it.

Trigonometry:
A fact iterated in the movie Namaste London, Trigonometry even got its name from Vedic mathematics, the word being Tri(three)-kon(angle)-mati(perimeter). Though, now the concepts have already been discovered and have been in use since years, The circular nature of Sin, Cos and Tan finds its mention in the Vedas.
The fact that Sinx/Cosx = Tanx finds its mention in the Vedas.

Currently, as you are reading all of this, researches are being carried on, and undertaken, including the effects of Vedic mathematics on children. Major research is being done on how to develop more powerful and simpler application of Vedic mathematics in geometry, calculus, etc.
What makes Vedic mathematics different from other schools and branches of theoretical and practical mathematics, is the flexibility of Vedic mathematics in providing them freedom with creating their own methods and breaking the "correct answer" jinx.
Vedic Mathematics provides us with quick and fast one-line formulae which speeds up mental calculation. It is a mental tool which not only helps a person solve complex problems quickly, but with repeated practice, also helps a person concentrate better.

Its absolute pity, that in spite of it being such a great marvel as "Vedic Mathematics", some elitist, from within the Indian sub-continent itself, claim it to be a farce. They say that they dont find any such reference in Vedas, and that it was a result of imagination of Tirthaji himself.
The Vedas, primarily, have been known to reveal the true knowledge and meaning of the verses, the hidden secrets to those who are worthy. While this may appear to be a line straight out of a Dan Brown book, it is a mighty known fact that Vedas are written in a cryptic language and a mere translation would mean nothing or may produce some relevant results. The Vedas are believed not to reveal the true meaning to the reader, but rather help the reader find certain answers, which others wont be able to see or even validate.
The irony is, that while the western world is embracing and opening up itself to the charms and secrets of Vedic Mathematics, there are Indians themselves, who claim the Vedic Mathematics to be a lie.
Nothing is greater a tragedy than to not believe in your achievements while the world celebrates them

Realists, as always, would claim that Vedas do not actually teach mathematics on the face of it, but the fact is Vedic mathematics is gradually making a stronghold in the education system of the entire world and is soon becoming a force to reckon.

Coming up with a book based on Indian history/mythology.
Please join the Facebook page and invite others as well to do the same.
Please help me promote the book and the page and make it a huge success.

Please click here and like the page which comes up - Finders, Keepers

I would like to end the post as of now, and would like to know what you thought about it. If you are on Facebook and are interested in such topics, please click on the link below and like the page which comes up.Khoj-In Search of Lost Signs

Monday, 3 June 2013

The Krishna Advantage

In older times, old enough to be termed mythological, the kings used to have a council of ministers, The Board of directors, who used to suggest various methods and tools to improve and expand their kingdom, generate more profits, while keeping the people happy.
Now, not all the kings were exactly concerned with keeping their people happy, they were more concerned with their exploits and trying hard for their names to be etched into the memory of all future generations to come. So, you have books and songs written about them, huge palaces built by them, and cities being named after them. Out of these kings, seldom came the ones, who had perfected the art and skills of management so well, that not only they grew to the divine status they deserved and commanded back in those times, they are synonymous to God even thousands of years later in this modern world. Lord Rama was one, Lord Krishna, another.

They didnt have any educational degrees back then, and neither the colleges which would specialize in such courses, so the practice of "branding" people with their educational qualification didnt exist. Whatever knowledge they possessed was majorly on account of them being earned through their initial years in Gurukuls and then while gaining experience when interacting with the world. It therefore, would be no smaller a feat, if a legend rises high, so as to attain a divine status. Sri Krishna had all what it takes to be one of the greatest managers of all times, and we are not talking of Bhagvad Gita yet.
(Credits- www.totalbhakti.com)

Ethics first: So, Arjuna was the husband of Krishna's half sister. And that would make him an ideal choice for Krishna to take sides with. Why the dilemma then, when both Duryodhana and Arjuna visited him to ask for his help?
Being an upholder of Dharma, Krishna would never take sides based on relations. An attribute similar to the concept of Internal Equity in management terms.
So, Krishna not only gives both of them an equal opportunity to take him into their sides(and Duryodhana pretty much knows it, the reason why he approaches Krishna), he also decides to be fair again and asks Arjuna to make a choice between himself and his entire army. Arjuna chooses Krishna himself, and the entire army is given to Duryodhana. So, Krishna always put ethics ahead of priorities. But now the question, why did Krishna give Arjuna the chance to make a choice?
(Credits- gardenofthefareast.com)

Why Arjuna? As per legends, Krishna was sleeping when both Duryodhana and Arjuna arrived near his bed side to ask for his help. Duryodhana arrived first, and considering himself to be the superior one, sat besides Krishna's head. Arjuna, who respected Krishna as a father-figure sits near his feet. When Krishna wakes up, he sees Arjuna first, and thus, decides to give him the choice of choosing first.
Krishna makes this decision, not because he knows that Arjuna respects him a lot and considers him a father-figure(that would have been a bad management skill!)
Krishna is always considered a father-figure, a Guru in the entire Mahabharata. If legends are to be believed, he has already shown God-like attributes and miracles before this setting. Still, Duryodhana, bitten by his ego, chooses not to respect Krishna, costing him the opportunity to make the first choice. Arjuna, a warrior himself greater than all his contemporaries, displays the qualities of a humble person. Arjuna places his aim and vision ahead of his ego and thus, Krishna chooses him to make his choice first.

On a side note, Duryodhana was quite happy on being given the army, this was what he would have chosen anyways.
(Image taken from internet)

Raas-Leela: I have never seen a divine and sacred term being misused and quoted in such derogatory terms as Raas-Leela, special thanks to Bollywood. 
As per legends, in Raas Lila, Krishna plays flute and girls danced around him. The Raas Leela happens in dark forests, where the girls are away from security of home and family, yet feel secure enough. They dance around Krishna, not for any duty or custom, they do so for the love of him, at their own free will. Krishna is believed to be giving complete attention to each and every girl, and the moment they try to gather more part of his attention or feel Krishna loves her more, Krishna disappears for her.

The above setting is the perfect model of how an organizational setup is ought to be. Everyone feels equally appreciated and safe within the realms of the organizational culture. No one is supposed to be jealous and there should be gradual warmth among people. There should be perfect harmony, and its all in the hands of the manager, the leader, the Krishna.

(Image taken from internet)

On another side-note, Krishna was only 8-10 years old when he performed the Raas Leelas, so to use the term in derogatory terms by Bollywood is not only incorrect, it is highly stupid.

Commitments First: Radha was the first and the biggest love of Krishna's life. They loved each other like the body and soul(jeev-Atma and Param-atma). What then, made him leave her and travel to Mathura?

(Image taken from internet)

Krishna and Radha were together since their early childhood days. It is even believed that radha was born blind, and she gained her sight only after seeing Krishna. The childhood pranks, the games they played together and their celebration of Holi is legendary. But, as a child, Krishna never knew that he was destined to be a king, nor did Radha.
Once Krishna knew he was to kill Kansa and then be crowned as the King, Radha choses to stay back and keep alive the memroies of their love together. A staunch believer of Karma, Krishna knew his destiny was now different from Radha and their love would never be the same once they are together in the palace. Her staying back would etch their eternal love forever in the Vrindavan.

Krishna chose to follow his commitments over his personal prefernces. He could have chosen to stay back, but then the world would never have seen such a just and enigmatic King. The Mahabharat would not have been won by Pandavas, the Bhagvad Geeta never told. The power of letting your personal desires go in the pursuit of betterment of organization is what he teaches us.

(Image taken from internet)

The Strategist: Krishna knew, had guessed it from the start itself, that with a smaller force, the Pandavas dont have much of a chance against the mighty Kauravas who had the likes of Duryodhana, Karna, Bhish-Pitamah, to name a few. He also knew that though Kauravas would stoop low to unethical methods, if situation demands it, but the Pandavas would never do it under Yudhishtira.
As a smart strategist, he never broke any rule, but bent the semantics of the rules much to the benefit of the Pandavas.
He knew Bhishm-Pitamah would never attack a eunuch, so he asks Shikhandi to stand in front of Arjuna while Arjuna shoots his arrows at him. Arjuna vowed that he would kill Jayadratha before sunset and Jayadratha goes into hiding. Krishna stages a solar eclipse to make Jayadratha believe the sun has set and come out of hiding.
A good and ethical manager never breaks the rules of the organization and the society, but should be smart enough to bend these rules, being in the realms of ethical processes, to the benefit of his company.

(Image taken from internet)

The Motivator: And finally the Bhagvad Geeta. For the sake of upliftment of Dharma, and the destruction of Adharma, Krishna would never shy away from taking any step. Even if it would mean destruction, it would be creative. Arjuna was worried that the people he is fighting are his own family, and there will be blood shed. Krishna not only motivates him to gear up for the battle to follow, he emphasizes on creative destruction. He controls the entire army of Pandavas under his single command and guides them to victory, in spite of facing the mammoth Kauravas.

And to think of it, in the end, Krishna had vowed not to play any combative role in the entire war. He was there as a strategist, motivator, a guiding force, never really taking part in the war physically, the qualities a good manager ought to have. In-spite of a smaller workforce, he guides them to success, purely based on his management skills. Skills, which no one taught him,which cannot be imparted, he learnt it himself. Each chapter of his life, be it his friendship with Sudama, his friendship with Arjuna, his fight with Kansa, has a lot to teach us. No wonder, he commands one of the biggest headcount of devotees in Hinduism.

Jai Shri Krishna

Coming up with a book based on Indian history/mythology.
Please join the Facebook page and invite others as well to do the same.
Please help me promote the book and the page and make it a huge success.

Please click here and like the page which comes up - Finders, Keepers

I would like to end the post as of now, and would like to know what you thought about it. If you are on Facebook and are interested in such topics, please click on the link below and like the page which comes up.Khoj-In Search of Lost Signs

References:
1.) http://economictimes.indiatimes.com/slideshows/management-leaders/6-management-lessons-from-various-forms-of-lord-vishnu/krishna-on-not-being-wrong-in-breaking-rules-if-dharma-is-upheld/slideshow/19126174.cms
2.)http://themotivatorsarab.blogspot.in/2009/11/lessons-from-life-of-lord-krishna.html
3.) http://www.slideshare.net/ravi_volley/lord-krishna-as-a-strategist
4.) http://www.academia.edu/1055932/Application_of_Mythology_in_Modern_Indian_Management_Practices
5.) http://eawc.evansville.edu/essays/de.htm
6.) http://www.hinduhumanrights.info/why-did-krishna-choose-arjuna-instead-of-karna-drona-o-bhishma/