As the integer to be partitioned gets larger and larger, it becomes difficult to compute the number of ways to partition it.
Partitions of a number Ramanujan’s interest in the number of ways one can partition an integer (a whole number) is famous.
They sent their paper to Bhaskar Ramamurthi, Director of IIT Madras, who in turn forwarded the paper to Prof. Vaidyanathan, a friend from his graduate days. The seemingly simple mathematical calculation is related to a very sophisticated method to reveal the properties of black holes, as has been established by physicist Atish Dabholkar, who is now Director, International Centre for Theoretical Physics in Trieste, Italy, and Assistant Director General of UNESCO. As we fight disinformation and misinformation, and keep apace with the happenings, we need to commit greater resources to news gathering operations. Crossword blog #164 | Dwell on it longer to figure it out faster, On the moon, water everywhere but not a drop to drink yet.
We promise to deliver quality journalism that stays away from vested interest and political propaganda. Question Corner | Can mosquitoes taste human blood? So, in signal processing, one thing we are interested in is extracting and identifying such periodic information. Stephen Hawking showed that when you take into account quantum effects, a Black Hole is not quite black, it is rather like a hot piece of metal that is slowly emitting Hawking radiation. “A geometric analogy would be a ‘mock circle’ that is nearly circular but with a small blip,” explains Prof. Dabholkar. [22,24,25] derived a number of H.R.R. What is surprising is that his mathematics, done over a hundred years ago, finds applications today in areas other than pure mathematics, which were not even established during his time (22 December 1887 – 26 April 1920). series which, amongst other results, extended the result of Hagis cited above from a prime q to an arbitrary positive integer m.
| Photo Credit: M_SRINATH. $\endgroup$ – hardmath Jul 5 '11 at 17:34 Your feedback and comments may be posted as customer voice. We have been keeping you up-to-date with information on the developments in India and the world that have a bearing on our health and wellbeing, our lives and livelihoods, during these difficult times. There is no question about the fact that mathematical genius Srinivasa Ramanujan has left behind a rich legacy of problems for mathematicians to solve. Ramanujan and Hardy invented circle method which gave the first approximations of the partition of numbers beyond 200. G. Andrews has a chapter about this in his book Theory of Integer Partitions. Identifying and separating the periodic portion is much like using a sieve to separate particles of different sizes. 0 1991 Academic Press, inc. 1. In his short life of little over 32 years, he reached unimaginable heights. Printable version | Oct 27, 2020 3:14:27 AM | https://www.thehindu.com/sci-tech/science/ramanujans-legacy-used-in-signal-processing-black-hole-physics/article30367891.ece, Readers may send their questions to [email protected]. All these have certain patterns that repeat over and over again and are called periodic patterns. Some of the best-known methods to extract periodic components in signals involve Fourier analysis. Thus, there are two ways of partitioning the integer 3. A Hardy-Ramanujan-Rademacher-type formula for (r;s)-regular partitions 3a H.R.R. Examples of signals that are processed digitally include obvious ones like speech and music and more research-oriented ones such as DNA and protein sequences. Two among these are signal processing and Black Hole physics.
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