*Arjuna’s Arrows and Algebra!*

🙏🙏

*Bhāskarāchārya* (1114 -1185 CE), has been called the greatest mathematician of medieval India. He was born in Karnataka, and is considered the progenitor of Differential Calculus - 500 years before Newton and Leibniz!

Bhāskarāchārya wrote at least four mathematical treatises in Sanskrit. One of them, titled *Leelavati*, contains many algebra-related teasers, which have become the subject of significant research by scholars. These teasers are in the form of *shlokas* which pose the problems. The shlokas need to be interpreted correctly to decipher the meaning in order to find the solution.

Take a look at the shloka displayed below. 

पार्थ: कर्णवधाय मार्गणगणं क्रुद्धो रणे संदधे 

तस्यार्धेन निवार्य तच्छरगणं मूलैश्चतुभिर्हयान् |

शल्यं षड्भिरथेषुभिस्त्रिभिरपि च्छत्रं ध्वजं कार्मुकम् 

चिच्छेदास्य शिरः शरेण कति ते यानर्जुनः संदधे || ७६ ||

The direct meaning of this shloka is a question formulated as follows:

During the battle between Arjuna and Karna in the Mahabharata, Arjuna released some arrows. Of the released arrows:

• Half were consumed in stopping the arrows coming from Karna

• 4 times the squareroot of the arrows were consumed to control the horses of Karna's chariot

• 6 were for gaining control over Shalya, the charioteer of Karna. (Shalya was the maternal uncle of Nakula and Sahadeva)

• 3 were used to take on the umbrella and flag of the chariot and the bow of Karna.

• Finally Karna was killed by a single arrow.

So how many arrows were released by Arjuna in the battle?

Basic algebra easily yields the answer to this question, if the equation is formulated correctly.

Let the total number of arrows be X. The statements above can be reduced to the algebraic form

** X = X/2 + 4√X + 6 + 3 + 1*

Solving the above, we get the value of X=100 for the total number of arrows shot by Arjuna.

However, the fun is not just in getting the algebra right. There is so much hidden information in this shloka. If we pause to think a little deeper about the hidden meanings:

• Even for an atirathi like Arjuna, it took as many as 50 arrows to stop the arrows of Karna - it tells us about the skills of Karna.

• That the horses needed 40 arrows to immobilize the chariot tells us about the kind of training given to the horses in the battle field.

• When even the horses needed 40 arrows, that Shalya the charioteer surrendered with just 6 tells us that he is favouring Arjuna.

• 3 arrows to take the chariot and the bow shows the helplessness of Karna.

• Once everything is in control the enemy should vanquished in just a single arrow.

So the rules and skills required to win such a battle operationally are:

 firstly, stop the enemy fire-power; second, immobilize the enemy by taking on his mobility- the horses and the driver; thirdly signal to him his helplessness by destroying the carriage, and finally eliminate the enemy himself.

If we analyze the same shloka on the *spiritual* side:

• To attain ultimate liberation, firstly one needs to control over his/her personal desires, this being a very difficult task, thus takes 50 arrows.

• Then take control over 5 senses and sensual pleasures indicated by the horses. The 40 arrows needed to do this indicate the difficulty of the task.

• Gaining control over 5 senses will lead one to the control over the consciousness (manas, thought, ego) indicated by the driver.

• If all the foregoing are done, achieving the ultimate liberation (moksha) should be relatively easy.

This is the greatness of our ancestors in sanatana dharma - Vidya integrated with Values. Just a single shloka includes so much of knowledge!🙏

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Ps.  I got this message via WhatsApp from a group post, original source and credit's unknown.

I thought this message conveys to much that one needs to know about our heritage, past and lost wisdom and so on... these need to be taught in schools so that these kind of wonders can be appreciated and everyone can be proud of our past.

Sip your tea nice and slow... poem by Lee Tzu Pheng

A beautiful poem by Lee Tzu Pheng (Singapore Cultural Medallion winner)

Sip your Tea

Nice and Slow

No one Ever knows

when it’s Time to Go,

There’ll be no Time

to enjoy the Glow,

So sip your Tea

Nice and Slow.

Life is too Short but

feels pretty Long,

There’s too Much to do, so much going Wrong,

And Most of the Time You Struggle to be Strong,

Before it’s too Late

and it’s time to Go,

Sip your Tea

Nice and Slow.

Some Friends stay,

others Go away,

Loved ones are Cherished but not all will Stay.

Kids will Grow up

and Fly away.

There’s really no Saying how Things will Go,

So sip your Tea

Nice and Slow.

In the End it’s really

all about understanding Love 

For this World  

and in the Stars above,

Appreciate and Value who truly Cares,

Smile and Breathe

and let your Worries go,

So Just Sip your Tea

Nice and Slow.

This poem is beyond all relationships

But made for us all.

When I'm dead.

Your tears will flow

But I won't know

Cry with me now instead.

You will send flowers, 

But I won't see

Send them now instead

You'll say words of praise 

But I won't hear.

Praise me now instead

You'll forget my faults,

But I won't know.....

Forget them now  instead.

You'll miss me then,

But I won't feel.

Miss me now, instead.

You'll wish You could have spent more time with me,

Spend it now instead

When you hear I'm gone, you'll find your way to my house to pay condolence but we haven't even spoken in years.

Look for me now. 

 

*"Spend time with every person around you, and help them with whatever you have to make them happy, your families, friends and  acquaintances.*

*Make them feel Special because you never know when time will take them away from you forever.*

Alone I can 'Say' but together we can 'Talk'.

Alone I can 'Enjoy' but together we can 'Celebrate'  

Alone I can 'Smile' but together we can 'Laugh'

That's the BEAUTY of Human Relations. 

We are nothing without each other 

So Stay Connected!

“How do I avoid pandemic?" - Osho

“How do I avoid pandemic?"

This question was asked to OSHO about 40 years ago during the AIDS period!

′′ You're asking the wrong question Osho replied, ′′ the right question should be:

′′ How to avoid the fear of dying caused by the epidemic (pandemic)?"

Because it is very easy to avoid the virus, it is very difficult to avoid the fear in you and in the world. People will die more from this fear than from the epidemic (pandemic).

There is NO virus in this world more dangerous than FEAR.

Understand this fear, otherwise you will become a dead body before your body dies.

It has nothing to do with the virus. The scary atmosphere you feel in these moments is collective madness... It has happened a thousand times and will continue to happen And it will continue if you don't understand the psychology of crowds and fear.

You usually keep your fear at bay, but in the moment of collective madness, your consciousness can be completely lost.

You won't even know when you lost control of your fear. Then fear can make you do anything. In such a situation you can also take your own life or the lives of others.

So much will happen in the coming times:

Many people will kill themselves and many people will kill more.

Attention, be mindful.

Don't watch news that trigger fear.

Stop talking about the epidemic, repeating the same thing over and over again is like self-hypnosis. Fear is a kind of self-hypnosis. This idea will cause chemical changes in the body. If you repeat the same idea over and over again, a chemical change is triggered that can sometimes be so toxic that it can kill you.

During an epidemic, energy around the world becomes irrational. This way you can fall into a black hole anytime. Meditation then becomes a protective aura into which no negative energy can penetrate.

*(Osho)*

Do not mess with the Management...

A king had 10 wild dogs.

He used them to torture and kill any minister that misguided him.

A minister once gave an opinion which was wrong and which the king didn’t like at all… 

So he ordered that the minister to be thrown to the dogs.

The minister said, 

"I served you loyally 10 years and you do this..?

The king was unrelenting.

Minister pleaded"Please give me 10 days before you throw me to the dogs"

The king agreed. 

In those 10 days the minister went to the keeper of the dogs and told him he wanted to serve the dogs for the next 10 days… 

The guard was baffled… 

But he agreed. 

So the minister started feeding the dogs, caring for them, washing them, providing all sorts of comfort for them.

So when the 10 days were up… 

The king ordered that the minister be thrown to the dogs as sentenced . 

When he was thrown in, 

everyone was amazed at what they saw..

The dogs were wagging their tails playing with the condemned minister..licking his feet.

The king was baffled at what he saw. ” what happened to the dogs? !!!” He growled.

The minister then said;” 

I served the dogs for only 10 days and they didn’t forget my service…

Yet I served you for 10 years and you forgot all at the first mistake!”… 

The king realised his mistake 

and 

Replaced the dogs with crocodiles !!

Moral : Once Management has targeted you ... That's Final...

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Disclaimer:  Received this via WhatsApp, source and Credits unknown