P.VIJAYARAGHAVAN
30th Jan 2012.......
It is one month since our Shobana left all of us...
It is one month since our Shobana left all of us...
SHE WAS BORN ON 17TH DEC 1952 AND PASSED AWAY ON 29TH DEC....2011......MAKING HER NUMBER 1729....
She was the last child in our family whom we lost ...
AS HARDY WAS NOTICING THE TAXICAB NO 1729 A DULL NUMBER AND A BAD OMEN...
IN SHOBANA"S CASE THE NUMBER 1729 WAS RATHER AN UNFORTUNATE NUMBER....
PLEASE READ ABOUT HARDY RAMANUJAM NUMBER 1729 BELOW....
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
The following is a famous story told by G.H. Hardy about S. Ramanujan, repeated word for word in various sources:
Once, in a taxi from London, Hardy noticed its number, 1729. He must have thought about it a little because he entered the room where Ramanujan lay in bed and, with scarcely a hello, blurted out his disappointment with it. It was, he declared, "rather a dull number," adding that he hoped that wasn't a bad omen. "No, Hardy," said Ramanujan, "it is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways."
To be accurate, Ramanujan should have said "the sum of two positive cubes in two different ways." 1729 has since become known as the Hardy-Ramanujan Number, even though this feature of 1729 was known more than 300 years before Ramanujan. And numbers of its type (the smallest numbers expressible as the sum of 2 cubes in n ways) are sometimes called Taxicab Numbers. 1729=13+123=93+103.
How did Ramanujan know this? Well, he loved numbers. All through his life, he experimented with numbers. As a child, he probably found prime numbers into the many thousands, trying to find a pattern that other people had missed. 1729 is not a prime, by the way. Such a person also examines Pythagorean triples, like 3,4,5 which are of the form 32+42=52. He would search for patterns in these numbers, too. Perhaps he found an equation to generate all possible Pythagorean triples, as such equations exist. Not all numbers can be expressed as the sum of two squares. He probably found numbers that were expressible as the sum of two squares in two or more different ways. It is natural that he examined the sums of cubes (and higher powers) in the same way. He would notice that 1729 came up twice on this list, and he would remember it all his life.
By the way, equations such as c=a3+b3 are called Diophantine Equations, named after Diophantus (sometime in the period 200 BC - 400 AD, probably about 250 AD), when they involve only integers.
We have seen your
smiling face in the Face book profile and have downloaded the image to the hard
disc of our mind.....and recollect you in our midst smiling...I mention our
hard disc in memory as we realize it hard to live without you...although the
irony of fate decided...and destined......you being the youngest in a large
family of Parameswara Iyer is irretrievably lost by all of us...We all pray for
peace of your departed soul in the kingdom of Heaven....Unknown we all met
known you departed....leaving and indelible mark for posterity to remember...
As known from history Ramanujam was sick and did not take proper food,medicines, etc while in London ...leading to deterioration of health culminating in his death at the age of 32....(1887_1920)....It is heard improper food as per his orthodox Brahmin stipulations and some unknown sickness not diagnosed caused his ilhealth.Had he been saved through proper diagnosis and treatment through medical science he would have lived longer ,gone much deep into the subject of Mathematics and solved many problems in Mathematics ,etc.It is heard as said by his wife, while he was about to die he was just a little skin and bone.
As known from history Ramanujam was sick and did not take proper food,medicines, etc while in London ...leading to deterioration of health culminating in his death at the age of 32....(1887_1920)....It is heard improper food as per his orthodox Brahmin stipulations and some unknown sickness not diagnosed caused his ilhealth.Had he been saved through proper diagnosis and treatment through medical science he would have lived longer ,gone much deep into the subject of Mathematics and solved many problems in Mathematics ,etc.It is heard as said by his wife, while he was about to die he was just a little skin and bone.
.Shobana too despite health problems from young age ,fought against all odds including loss of husband ,lonely living,,etc etc...lived upto 60....always smiling and enjoying mine or Narayanan's jokes,etc.Despite disability she had come for marriage of Rajesh in 2007 and that of Chitra in 2010..at Chennai..We visited her in Bangalore. Me,Brindha, ...including Sreekanth and Chitra at her residence in Ramamurthinagar ...and spent happy days with her never to come back She was particular in providing good food to us...despite so many restrictions for her.... Despite her sickness,she used to listen to our problems like a Physician and advise all cares,medicines. ,etcThat is the end....
No comments:
Post a Comment