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இது கோபம் இல்லையடி!

நான் தனித்திருந்தால்…
உற்றவர் இல்லை..
நற்றவராய் வேடமிடும் நரிகளும் இல்லை..
பரியாய் ஓட வேண்டிய நிலையும் இல்லை..
சொற்கள் முள்ளாய் மாற வேண்டியதும் இல்லை..
உணர்வுப்பரிவு ஏமாற்றத்தில் முடிவதும் இல்லை..
இருவர் கூற்றை மற்றவர் காணக் கிடைக்கும் அவலமும் இல்லை..
உன்னை இழக்கும் விருப்பமும் இல்லை..
கோபப்படுதல் குற்றமும் இல்லை..
நட்புப் பிறை நிரந்தரம் இல்லை..
இது இடர்பாடா.. இல்லை இடியா.. சத்தியமாய் விளங்கவில்லையடி எனக்கு..
நிர்கதி தான்.. ஆனாலும் நற்கதி தான்..
நான் தனித்திருந்தால்..

24 orbits around the sun…

I’m not a fan of any kind of celebrations and never in my life I had thought of celebrating my birthday by cutting a cake.  But it did bring so much of joy when my friends/housemates suddenly wished me on my birthday this year with a surprise cake exactly at the stroke of twelve! Not to mention the birthday bumps they gave after tying my hands and legs to the windows Preserving my first ever birthday cake here to cherish that day’s nice moments

Back to cirlce one

Replace circle with square in the title and you already know what this post is all about. Unfortunately, I don’t like squares because every side of it remains the same for some time and then takes a sudden big turn.  But the worst part is knowing that the exact same thing repeats on the other sides. But, in circles, the change is gradual and at every point. Every point is surprising and defines a new direction. With infinite such points, circles best describe life. Those who find the right tangent can escape the circular life

I’m back to Bangalore in search of that tangent in my life.  I’ve joined back my first found love. It surprised many because it looks completely contradictory to what I was talking 1.5 years ago and as well as because it is not a thing many people opt to do. It surprised me because the wrong tangent I took earlier actually ended up in a point that I already crossed and not some where else. A second chance for me to correct my past mistakes! But one thing is for sure. Everything in life changes with time  including the decisions taken. Correctness or wrongness of a decision is completely with in the time frame of that decision. I was looking for a change after I realized that things at HeyMath! are not as I thought when joining it. I was completely upset that my second attempt also ended up some where. I didn’t want to start all over again in a new place wasting time to prove myself and get recognized. I’ll continue with my love as long as there is symbiosis.  Special thanks to HeyMath! tech team that gave a wonderful last day despite knowing the news only a day earlier to my exit.

So, any changes this time? Yes, definitely!  Bhumi happened to be a very good thing I experienced in my Chennai life. So, I’ll just continue my week end teaching at Chennai, at a reduced frequency though. Now I’m in Chennai for Siragugal’10. And it should be possible to start off things at Bangalore See you soon!

A divisibility puzzle

Found an interesting puzzle while exploring Hari’s blog As the puzzle is very small, republishing it here. Here it goes..

Find a number x when divided by n leaves a reminder n-1,
where n ranges from 1 to 10.

I just tried to do something with the basic rules of divisibility for a few minutes before the programmer in me woke up and said “Do you really want to solve the problem? You can get the solution in no time”. Python was ready to swallow the mathematician in me

ab = range(1, 15000)
for i in range(10, 1, -1):
  ab=[x for x in ab if((x%i)==(i-1))]
print ab

Solution set: [ 2519, 5039, 7559, 10079, 12599, ... ]

The interesting fact is that the difference between any two elements in the solution set is a multiple of 2520 which is the smallest natural number divisible by all numbers from 2 to 10. Subtracting 1 from 2520 makes it indivisible by every number from 2 to 10. Wow! Having found out the solution, now I back track to solve the problem. Any mathematicians out there? Please help me solve it mathematically using the rules of divisibility

Edit: Fay has given good explanation to solve this problem. See the comments.