<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-7004278638568720946</id><updated>2011-11-28T08:20:07.138+05:30</updated><category term='Life'/><category term='Book Review'/><category term='Math'/><category term='Fun'/><category term='Eating'/><category term='Marathi'/><category term='Philosopy'/><category term='Education'/><category term='Travel'/><category term='Music'/><title type='text'>ManoGat</title><subtitle type='html'></subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>12</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-4634870511287767337</id><published>2011-02-12T12:52:00.001+05:30</published><updated>2011-02-12T12:54:02.906+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Life'/><category scheme='http://www.blogger.com/atom/ns#' term='Fun'/><category scheme='http://www.blogger.com/atom/ns#' term='Education'/><title type='text'>Ranade Balak Mandir</title><content type='html'>"I remember my first day in school!!" My friend was telling me. "It was great fun for me. I enjoyed my first day in school!!" I was thinking back in time as I do many times these days. I remember how I got into the school that was one of the best schools of that time. There was an interview that I had to clear to get into the KG school. I was very frightened when they called me for the interview. What I remember is that I was crying all the time and finally ran away from that place. I hated that place and the teachers interviewing me!! My parents knew the principal of the school and I got a back door entry in the school.&lt;br /&gt;&lt;br /&gt;The first day in the school was a disaster in itself. My aai had come with me to the school. When she put me in the classroom and started for home, I got the idea of what was going on. I started crying so loudly that some other kids also started crying because of me. Then one of the teachers, who would become one of my favourite teachers to date, took my charge. Slowly all of us settled down. As days passed we found that it was fun going to the school. I got a chance to mix with children of my age for the first time.&lt;br /&gt;&lt;br /&gt;The teachers were great in my school. After school prayer, we would be given different games to play that would test the grasping ability of the kid. After that they will teach some songs and tell some stories. All these things were designed to the perfection. Not a single child in the class was bored. No one felt like going to home after the school was over. A lot of thought must have been passed behind all such teaching techniques that were employed in our school. This was followed by madhali sutti when we will eat our tiffins. After the sutti, we would be asked to sleep for half an hour in the school. I have never heard of this till today!!! Every Wednesday, in the school the teachers would cook food and students would help them in cooking. This was a great experience.&lt;br /&gt;&lt;br /&gt;The teachers were very good and they never beat anybody in the school. As far as I remember, there were no punishments!! The student-teacher relationship was not what it is today. Every student was treated as if he/she was the teacher's own son/daughter. Till today these teachers remember me. I really feel proud of this. The pragati pustak (report card) that was written by these teachers was a great thing. The teachers understood the students' psychology and they would write it in the pragati pustak. Very minute details such as I do not like playing swing, were noted in those report cards. I still have those report cards me. Those two years of schooling before the primary school were great.&lt;br /&gt;&lt;br /&gt;These are the years in one's life when someone can make a lasting impact. I am indeed fortunate that they were my school teachers who instilled good values in me and made a lasting impact. I believe I got the best possible start to my life by attending Ranade Balak Mandir, my KG school.&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-4634870511287767337?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/4634870511287767337/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2011/02/ranade-balak-mandir.html#comment-form' title='1 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/4634870511287767337'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/4634870511287767337'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2011/02/ranade-balak-mandir.html' title='Ranade Balak Mandir'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>1</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-8533332523457236055</id><published>2010-02-16T23:13:00.000+05:30</published><updated>2010-02-16T23:32:04.891+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Math'/><category scheme='http://www.blogger.com/atom/ns#' term='Philosopy'/><category scheme='http://www.blogger.com/atom/ns#' term='Book Review'/><title type='text'>A certain Ambiguity</title><content type='html'>After hibernation of about six months (like polar bears) I am back.. Recently I read a book called "A Certain Ambiguity" authored by Gaurav Suri and Hartosh Singh Bal. It is a mathematical novel. A fantastic book indeed and a must read for all math and philosophy lovers. It takes us on the tour of infinity and geometry, two most basic and ancient branches of mathematics, the concept of absolute certainty of thought and its foundations in mathematics, and finally non-Euclid's geometry.&lt;br /&gt;&lt;br /&gt;All this comes forward through the wonderful story of Ravi and his bauji, an established mathematician of his era. The other characters of Nico, Claire, Adin are perfectly sketched and fit in perfectly in the plot of the story. The passion with which Nico takes the math classes and explaines the concepts of infinity to the class stands out. The journal entries and the communications of ancient mathematicians like Euclid, Pythagoras, Cantor are just amazing. The authors have really got it right.&lt;br /&gt;&lt;br /&gt;One must read this book to understand the basic math and basic philosophy. Here I am reminded of another book "One, Two, Three, ..." whose author(s) I have forgotten. This is also a wonderful book which explains the concepts of infinity quite nicely.&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-8533332523457236055?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/8533332523457236055/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2010/02/certain-ambiguity.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/8533332523457236055'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/8533332523457236055'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2010/02/certain-ambiguity.html' title='A certain Ambiguity'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-5806491408115535917</id><published>2009-05-21T18:54:00.000+05:30</published><updated>2009-06-17T22:20:28.966+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Fun'/><category scheme='http://www.blogger.com/atom/ns#' term='Eating'/><category scheme='http://www.blogger.com/atom/ns#' term='Travel'/><title type='text'>Trek to Sinhagad</title><content type='html'>Srinivasan, my friend from the CC lab, is attending a workshop in Bhaskarachrya Pratishthan, Pune. Last week I had to go to Pune for a family function called &lt;span style="font-style: italic;"&gt;kelvan&lt;/span&gt;. So while I was in Pune we decided to go to Sinhagad, a great fort near Pune. I used to go to Sinhagad every Sunday when I was staying in Pune. There are many people who go there for trekking once every week to get fresh air and and escape from the hectic city life. There was a group of regulars called as &lt;span style="font-style: italic;"&gt;Sinhagad Warakari Sangh &lt;/span&gt;also. I don't know if it exists today.&lt;br /&gt;&lt;br /&gt;So on the Sunday morning, Srini and I started from my place for Sinhagad on my &lt;span style="font-style: italic;"&gt;splender&lt;/span&gt;.&lt;span style="font-style: italic;"&gt;  &lt;/span&gt;We started at 6 o'clock in the morning and reached the &lt;span style="font-style: italic;"&gt;payatha, &lt;/span&gt;the base, at 7 o'clock after one hour's ride. On the way one can see the Khadakwasala dam on Mutha river which satisfies the thirst of the city. At the base of the fort, there is a villege called as Donaje. Since Sinhagad is a tourist place now, many people in the villege have started small businesses like a small shop providing snacks, tea, camera batteries etc. Some people have converted the open space in front of their homes, called &lt;span style="font-style: italic;"&gt;aangan &lt;/span&gt;into the parking area. Such things are definitely helping them monetarily however I observed that the peace in the village is disappearing. It was not the same village that I saw some five years ago.&lt;br /&gt;&lt;br /&gt;We started climbing at around 7 o'clock. I had estimated that it will take an hour for us to reach the top. Since it was a Sunday, along with the regulars, there were many tourists also who were climbing. There are two ways you can climb to the fort. One is called &lt;span style="font-style: italic;"&gt;Rajmarg,  &lt;/span&gt;a fairly easy way to climb and the other is thruogh the water streams that flow in the rainy season, commonly known as the shortcuts. The rajmarg is like a ghat with many turns and steep slopes. Almost at every turn there is a small shop where curd, buttermilk, lemon juice, fresh cucumber, raw mango, &lt;span style="font-style: italic;"&gt;kali maina, &lt;/span&gt;tamarind are served. The shopkeepers, mostly females, come from different villages as far as 10 kilometers with two cans of water and all the other things that they sell. They start at 5 o'clock in the morning, climb the hill to their shops, set the shop and then greet the people with &lt;span style="font-style: italic;"&gt;"Oye poreho ghya tak, dahi, limbupani..."&lt;/span&gt;  While having a cucumber and lime juice at one of such shops, we were having a little chat with the shop owner. She had travelled almost 8 kilometers from her home to the shop with the water cans and all the other eatables. She told us that, the shop is the only sourse of income for their family. I was gasping when I had reached the shop and ordered a lime juice. When I heard her story, I was ashamed of myself and salutated her in my mind.&lt;br /&gt;&lt;br /&gt;When we reached the top, we decided to take a walk to explore the fort. The typical places you see are the horse stable, ammunition store room, &lt;span style="font-style: italic;"&gt;devtake&lt;/span&gt; the water resource on the fort, &lt;span style="font-style: italic;"&gt;samadhee&lt;/span&gt; of Tanaji Malusare, Kalyan &lt;span style="font-style: italic;"&gt;darawaja&lt;/span&gt;, Udaybhanu's &lt;span style="font-style: italic;"&gt;thadage&lt;/span&gt;. After seeing all these places we ordered meals on the fort. &lt;span style="font-style: italic;"&gt;Pithale, Bhakari&lt;/span&gt; and &lt;span style="font-style: italic;"&gt;Lal Mirachicha thecha&lt;/span&gt; and a lot of curd with it as well. We started back our descend at around 11 o'clock and reached the base at 12.&lt;br /&gt;&lt;br /&gt;While I was going back to home, I noticed a lot of changes in the villages and could easily see the effects of Pune on them. In one way they were losing their own identities to get assimilated in the city. However the identity was sacrificed for the &lt;span style="font-style: italic;"&gt;growth&lt;/span&gt;. This was a trek I will not forget!!!&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-5806491408115535917?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/5806491408115535917/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/05/trek-to-sinhagad.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/5806491408115535917'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/5806491408115535917'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/05/trek-to-sinhagad.html' title='Trek to Sinhagad'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-2548240344687474691</id><published>2009-05-13T18:39:00.000+05:30</published><updated>2009-05-13T18:57:17.064+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Book Review'/><title type='text'>Airport</title><content type='html'>Last month, with Shanmuganathan and Ramprakash, I went to the bookshop in HN to see some books. There I came across books by Arthur Hailey. I bought three books Airport, Hotel and Wheel. I finished the book Airport and I was really amazed by the way the author has written the book. The book is based on the events that take place in the span of six hours on a stromy, cold night on the Abraham Lincoln Airport, Illinoi. This 460 page book reveals how airport works, the people involved in the smooth operations of the airport and their tensions, professional as well as personal. The smallest details of the characters in the book make it easy for you to visualize them and after a while you actually are on the airport witnessing all the things that are happening.  And eveything happens in those six hours, a runway block, a protest march by the people living nearby, terrorist attack on a plane, divorse of the airport manager, a sucide attempt by an air traffic control officer.  The most facinating part in the book in my opinion was the description of the job of an air traffic control officer, the tensions that they face every day in the job. Though well paid, they are responsible for the planes that are flying in their zones. The demands of this job and the mental toll that is taken on any officer and in particular here in this case, Keith an officer who attempts to commite sucide. It is a must read in my opinion. One must go aboard the Golden Ergossy!!&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-2548240344687474691?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/2548240344687474691/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/05/airport.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/2548240344687474691'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/2548240344687474691'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/05/airport.html' title='Airport'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-8372123753243954670</id><published>2009-05-05T22:56:00.000+05:30</published><updated>2009-05-06T08:37:55.213+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Marathi'/><title type='text'>मराठी लिहिण्याची सोपी पद्धत</title><content type='html'>ॐकार जोशी यांनी तयार केलेली "गमभन" ही साईट फारच सोपी आहे वापरायला.&lt;br /&gt;त्यामुळे मला मराठी लिहिता येत आहे सुलभतेने.  ॐकार जोशींना धन्यवाद!! तुम्हीसुद्धा प्रयत्न करुन बघा. देवनागरी बरोबरच बंगाली, पंजाबी, कानडी, गुजरती, मल्याळम इत्यादी लिप्या उपलब्ध आहेत. आता मी मराठीमधून लिहिण्याचा आनंद मिळवणार. तुम्हीसुद्धा तुमच्या मातॄभाषेमधून लिहिण्याचा आनंद मिळवा!!!&lt;br /&gt;आणि चिन्मयला विशेष धन्यवाद, त्याने मला या साईट विषयी माहिती दिली.&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-8372123753243954670?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/8372123753243954670/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/05/blog-post.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/8372123753243954670'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/8372123753243954670'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/05/blog-post.html' title='मराठी लिहिण्याची सोपी पद्धत'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-3782665195632402925</id><published>2009-04-23T22:12:00.000+05:30</published><updated>2009-04-23T22:32:40.964+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Book Review'/><title type='text'>Forty Two...The Right Answer</title><content type='html'>After a long time... There was no activity here for long... just too long I thought. Many people (read Shanmuga) have written many (read shvana series, Munich travel) blogs in between. I could not catch up with them. I am not here to compete with these guys here anyway. All time that I was missing here, I was on a tour though. A tour of galaxy!!! Yes you guessed it right. I am talking about the book Hitchhiker's Giude to the Galaxy by Douglas Adams. It is a wonderful book I read recently. If one enjoys sarcasm with the &lt;span style="font-style: italic;"&gt;tadka&lt;/span&gt; of science fiction, this book is a must read. I finished reading the second book also, The Restaurant at the End of the Universe. The next one in the series is 'The Life, Universe and Everything'.&lt;br /&gt;This book is a story of a lone earthman who survives with some help from his friend from other planet, I will not use the word alien here, when the earth is demolished for making a galactic bypass!!! Then the two start roaming in the universe seeing wonderful things on their way, with the help of a tour book, The Guide.&lt;br /&gt;&lt;br /&gt;I loved this book very much and I will definitely recommend this book for reading. One should have a copy of The Guide. Who knows someone is building an intergalactic bypass...&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-3782665195632402925?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/3782665195632402925/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/04/forty-twothe-right-answer.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/3782665195632402925'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/3782665195632402925'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/04/forty-twothe-right-answer.html' title='Forty Two...The Right Answer'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-4088261644348905469</id><published>2009-02-18T21:56:00.000+05:30</published><updated>2009-04-23T22:33:56.228+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Math'/><title type='text'>From finitude to infinity</title><content type='html'>After the dinner today I went out for a walk with Priyadarshan. We went to Bhavani Juice Shop for having our favourite&lt;span style="font-style: italic;"&gt; ganne ka ras&lt;/span&gt;. While coming back we took a tour on the gymkhana ground.&lt;br /&gt;&lt;br /&gt;It was a no moon night and we could see many stars which are not visible otherwise because of moonlight. Looking at the stars it occurred to us that what we were seeing in the sky is not &lt;span style="font-style: italic;"&gt;present&lt;/span&gt;. It is, or rather was, the past!!! Whatever we were seeing had already happened. At this very instant there was something else that was happening there. And we had no clue of what is happening there at this very instant. A weird thought came to mind. If I see someone waving to me from one of the stars, he had waved some time back!!! I do not know what he is doing now. Before this day, I had never thought of this relation of past and future with the speed of light. The beauty is that all those stars are a huge distance away from us. However these distances are still finite!!&lt;br /&gt;&lt;br /&gt;We were overwhelmed by the vastness of the universe. At that instant, while looking into the sky I realised that how tiny we are!! When we are taught of counting numbers or natural numbers in the class 9 or 10, they say there are countably many infinite numbers. At that point I doubt anybody appreciates the concept of &lt;span style="font-style: italic;"&gt;infinity. &lt;/span&gt;I think this was my first encounter with the  infinity and I never appreciated it at that time. It is a very important and deep concept in mathematics. The transition from finiteness to infinity is not a smooth one!! More so this is not the only type of infinity that we have. This infinity is called countable infinity, one can count the numbers 1,2,3,.... for ever. Important thing is you can count!!! The other type of infinity is of uncountable in nature. You can not even count. The real numbers are &lt;span style="font-style: italic;"&gt;uncountable&lt;/span&gt;!! This infinity is &lt;span style="font-style: italic;"&gt;bigger &lt;/span&gt;than that of infinity of countable numbers. A small digression: Both these types of infinities are responsible for the development of a subject called as &lt;span style="font-style: italic;"&gt;floating point arithmetic&lt;/span&gt;!!&lt;br /&gt;&lt;br /&gt;Now all the fun with the infinity starts. It is an entity that has everything in it. So add anything to infinity, you are still left with infinity. Even if you added infinity to infinity! Mind you this is not true with subtraction!! Another startling fact is that number of all odd numbers is same as that of even numbers and this number is same as the number of all natural numbers!! This is what infinity is!!&lt;br /&gt;&lt;br /&gt;Similarly  another very important concept in mathematics is that of &lt;span style="font-style: italic;"&gt;zero.&lt;/span&gt; This concept is even more difficult to understand than infinity I would say. Thinking there are zero mangos rather than there are no mangos is indeed difficult for the fisrt time. I think we take it granted that these two statements are equivalent. We never &lt;span style="font-style: italic;"&gt;understand&lt;/span&gt; zero.  There is a good samskrut shloka to explain what is zero:&lt;br /&gt;&lt;br /&gt;Om poorna madah, poorna midaam&lt;br /&gt;poornaat poornam udachyate|&lt;br /&gt;Poornasya Poorna maday&lt;br /&gt;Poornam eva avashishyate||&lt;br /&gt;&lt;br /&gt;This means that you add poornam to poornam or subtract poornam from poornam, what you get is poornam. This is a perfect description for zero. In this shloka, poornam is zero and in general it is an identity element of a group, an algebraic structure in mathematics. However this shloka is often misinterpreted for the explanation of infinity!! There is a philosophical meaning to this shloka which I do not understand.&lt;br /&gt;&lt;br /&gt;Zero and infinity played a significant role in the development of mathematics and human being in general. Indeed these concepts are more than just mathematical...&lt;br /&gt;&lt;br /&gt;A small thought exercise for you before signing off:&lt;br /&gt;1. What is infinity - infinity?&lt;br /&gt;2. What is zero divided by zero?&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-4088261644348905469?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/4088261644348905469/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/02/from-zero-to-infinity.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/4088261644348905469'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/4088261644348905469'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/02/from-zero-to-infinity.html' title='From finitude to infinity'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-453994010118151848</id><published>2009-02-08T17:41:00.000+05:30</published><updated>2009-04-23T22:39:37.012+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Eating'/><category scheme='http://www.blogger.com/atom/ns#' term='Travel'/><title type='text'>A trip to Mani's lunch home!!</title><content type='html'>For many days, infact many months, we were planning to go for lunch in Mani's lunch home. It is situated in Matunga east near the flower market. This is one of the great place for south Indian food in Mumbai. Obviously many of the south Indian eateries are placed in Matunga. Today finally we found the &lt;span style="font-style: italic;"&gt;muhurtam &lt;/span&gt;to go for lunch in Mani's lunch home.&lt;br /&gt;&lt;br /&gt;Shanmuganathan, Ramprakash and Priyadarshan told me in the morning today that we were going to lunch outside. It was a great honour to Shanmuga, Ram and me that PD agreed to come outside for lunch. We did not waste this rare opprunity. We reached the place at 12:45 pm. There are two branches of Mani's lunch home and as expected, under the guidence of Shanmuga, we reached the one where they serve snacks. After waiting for 10 minutes outside this shop we got the address of the lunch home and proceeded in that way. By then everyone except me were dying of hunger.&lt;br /&gt;&lt;br /&gt;The atmosphere in the place was great. They serve two kind of lunches: Limited and special. We ofcourse opted for the special lunch and grabbed a table for four. Then the real fun started. Till this point we were constantly chatting among ourselves. However as we got the place and &lt;span style="font-style: italic;"&gt;Keli Patta&lt;/span&gt;, we were silent. This was as if we were complete strangers. Though this is a tamil mess, they do cook &lt;span style="font-style: italic;"&gt;chapatis&lt;/span&gt; which was a great surprise to me. I ate two chapatis before rice. However Shanmuga and PD enjoyed great rice with sambhar and rasam. This was a great four course meal for me after a long time. Chapatis, pineapple subji and avial subji was the first course. &lt;span style="font-style: italic;"&gt;Sambar sadum&lt;/span&gt; was second and &lt;span style="font-style: italic;"&gt;rasam rice&lt;/span&gt; was third. I concluded my lunch with &lt;span style="font-style: italic;"&gt;taira sadum&lt;/span&gt;. &lt;span style="font-style: italic;"&gt;Payasam&lt;/span&gt; was great!! After the lunch Ramprakash, Shanmuga and I were barely able to walk, PD however was pretty normal even if he had eaten more than any of us!!&lt;br /&gt;&lt;br /&gt;We caught thane bound local on the way back home. I cycled from the main gate to my hostel which I consider was quite an achievement. Rest traveled by the tumtum. After enjoying the great food and a great afternoon sleep (I am afraid to call it an afternoon nap!!) I thought I should write about it!!!&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-453994010118151848?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/453994010118151848/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/02/manis-lunch-home.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/453994010118151848'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/453994010118151848'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/02/manis-lunch-home.html' title='A trip to Mani&apos;s lunch home!!'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-6111120449475483176</id><published>2009-01-19T22:18:00.000+05:30</published><updated>2009-04-23T22:42:18.785+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Philosopy'/><title type='text'>Doctor of Philosophy</title><content type='html'>"There are very few original ideas!! As soon as you realize this, you understand everything. One has to apply these finite ideas repeatedly and intelligently to generate many more ideas which are derived from the basic set of ideas." We were deeply involved in a discussion as usual over a cup of tea at Shankar's in IDC. This was one of the meetings with my Ph.D. supervisor where we were not discussing any technical things. "Why are you doing Ph.D. anyway?" He asked. Then I started thinking back in time searching for a reason to do Ph.D. The first time I heard of Ph.D. was when I was in the 12th standard. There was some guest lecture in our college. The lecturer was introduced as Dr. Sane. After the lecture I asked him if he was an Aurvedic doctor or an MBBS. Everyone started laughing and then one of the teachers told me about Ph.D. I was told that Ph.D. means doctor of philosophy. Now what is this all about. I did not understand what does this mean at that time. I stilled believed that these Ph.D. guys cure someone. That is why they are Dr. XYZ.&lt;br /&gt;&lt;br /&gt;After 12th standard, I decided to pursue pure sciences by opting to do B.Sc. At this point I did not know why I did not want to do B.E. and do a B.Sc. course instead. However I did B.Sc. and subsequently M.Sc. in mathematics. At that point I thought I knew what is Ph.D. Towards the end of the first year of my M.Sc. course I decided that I will do a Ph.D. I wanted to see how maths is applied in different engineering fields. So chose to do Ph.D. in control and computing group in Electrical Engineering Department. I did several courses to gain relevant background. Then came time to do original research.&lt;br /&gt;&lt;br /&gt;I was doing research for the first time in my life. Till then I was solving assignment problems and examination problems. Theses problems were already formulated. Now I was the one to set a question which I was going to solve. This is completely different from solving exams and assignments. Also I had to make sure that no one else has already solved the problem. It took me almost 2 years to come up with a proper problem statement. I was very happy at that time that I have a problem to solve and my supervisor is ready to work with me on this problem. However the job was half done at that stage. I had not yet solved the problem. To solve the problem, you never know what technique one will use. You should be ready and open to explore all possibilities. Here openness of mind is required. We are required to think about the problem all the time to get the solution. This process of thinking about the problem all the time is indeed difficult. This is the point in my Ph.D. where I am struggling. Unless I am "into it", I will not get the solution. I have experienced this phenomenon of "being into something" when I was learning music. So I am trying to do the same with my Ph.D. problem. After solving the problem, I will report the problem statement and the solution in some paper and publish. This will be the last stage of Ph.D.&lt;br /&gt;&lt;br /&gt;The general path of any Ph.D. student, called as research scholar, is similar to one that I narrated above. According to me in Ph.D. one is in search of the truth. And to find the truth one should be "into it". So after 3 years of experience in Ph.D., now I know why I am doing Ph.D.&lt;br /&gt;First reason being I wanted to do it!!! Second reason is that I will be acquiring many skills over this period of time like formulating a problem statement, judging the research value of the problem statement, being open about the methods that I will apply to solve the problem. This skill set will be useful for me throughout my life even if my research will not be used anywhere in the near future. I think for this reason the degree is called Doctor of Philosophy.&lt;br /&gt;&lt;br /&gt;One last observation: The skill set that will be developed after Ph.D. can be developed without doing Ph.D. and it is not necessary that every Ph.D. scholar has this skill set!!!&lt;br /&gt;We record this important observation in the following&lt;br /&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;THEOREM&lt;/span&gt;: It is not necessary as well as sufficient to have a Ph.D. degree for having the skill set in the last observation.&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-6111120449475483176?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/6111120449475483176/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/doctor-of-philosophy.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/6111120449475483176'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/6111120449475483176'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/doctor-of-philosophy.html' title='Doctor of Philosophy'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-2984227577335451454</id><published>2009-01-17T19:38:00.000+05:30</published><updated>2009-04-23T22:43:48.798+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Music'/><category scheme='http://www.blogger.com/atom/ns#' term='Philosopy'/><title type='text'>Mathematics, Music and Meditation</title><content type='html'>MMM, three M's, namely Mathematics, Music and Meditation are very important in everyone's life. This is what I read in OSHO's one of the books titled "The New Man for the New Millennium". I read this book long back, I think about four years ago. I was thrilled when I read this particular chapter from his book. It is a very good book to read. My parents had a prejudice against him and were not very happy when they knew that I was reading his books. I am sure you know why!!&lt;br /&gt;&lt;br /&gt;He has described the role of all these M's in one'e life. He proves using some arguments, that I will try to present below, that if one is master of all the M's he is close to being enlightened. Here along with the actual meaning of the words in MMM, the implied meaning is also important. Then only one can appreciate the beauty of the arguments. The first two M's in MMM are an integral part of everyone's life. Mathematics brings some calculativeness in one's life. He starts evaluating any object that he comes across. Music brings love, liking, emotion in your life. These two M's are different visions of a human being. We need to understand that we always interchange these visions. For example, at a sofa set in your house that you were presented in your marriage, you should look with the mathematical vision. On the other hand you should look at your spouse with the musical vision. However unfortunately we look at the sofa set with the musical vision and wife with the mathematical vision. This in Osho's view is the cause for all the failures in the relationships and in general in life. We should have both the visions and we should be able use them at proper places.&lt;br /&gt;&lt;br /&gt;The third M, meditation is the main M in the triple. It acts like a bridge between the two visions, the mathematical vision and the musical vision. However as the river Saraswati meets Ganga and Yamuna near Allahabad but we can not see Saraswati, Meditation is not visible. One has to practice meditation, the effect of being able to bridge the different visions is visible after a lot of patience!!&lt;br /&gt;&lt;br /&gt;I was very thrilled to read this but I have experienced in the real life that it is very difficult to meditate. The procedure to meditate is given in the Osho's book is as follows: you have to sit in a calm place in a comfortable position. Then the important thing is that you are not supposed to concentrate on anything like your breathing or an imaginary point. Let the thoughts flow in your mind. You are just an observer of the thoughts that are flowing in your mind. Do not judge that this thought is good, that is very bad and so on!! Just observe. After some time (may be months or years) you will see that the thoughts that are flowing are less in the number as well as they are not random. These thoughts have a pattern. And on one fine day you may be left with only one thought that is your identity. This is you!!! A very good analogy that he puts here is that cutting the bad thoughts from the mind is like cutting the branches of a tree. The branches again grow. The problem is not solved. If you expose the roots of the tree to the sunlight, the tree will surely die. This path is difficult, but rewarding.&lt;br /&gt;&lt;br /&gt;I am sure one who understands MMM leads to a successful life!! Mathematics, Music and Meditation....&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-2984227577335451454?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/2984227577335451454/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/mathematics-music-and-meditation.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/2984227577335451454'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/2984227577335451454'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/mathematics-music-and-meditation.html' title='Mathematics, Music and Meditation'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-407175569020161525</id><published>2009-01-11T12:15:00.000+05:30</published><updated>2009-04-23T22:43:15.158+05:30</updated><category scheme='http://www.blogger.com/atom/ns#' term='Music'/><title type='text'>One Musical Evening</title><content type='html'>I am a follower of Indian Classical Music, both Hindustani and Karnataki (Carnatic). I like to attend music concerts whenever I get time. Two/three months ago I witnessed a great concert by the renowned Hindustani classical singer Dr. Ashwini Bhide Deshpande. She is from Jaipur Atroli Gharana. This was an evening concert in hostel-3 mess arranged by SPIC-MACAY. Some introduction to SPIC-MACAY is in order before I narrate my experiece about the concert.  SPIC-MACAY is an abbreviation for Society for Promotion of Indian Classical Music and Culture amongst Youth. Spic-MACAY has a number of celebrated artists who perform all over &lt;st1:country-region&gt;&lt;st1:place&gt;India&lt;/st1:place&gt;&lt;/st1:country-region&gt; for the cause, clear in the name of the society. The concert that I am referring to was one organized by SPIC-MACAY. &lt;span style=""&gt; &lt;/span&gt;For further information on SPIC-MACAY, you may visit their webpage.&lt;o:p&gt;&lt;/o:p&gt;&lt;p&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;&lt;o:p&gt; &lt;/o:p&gt;&lt;/p&gt;  &lt;p class="MsoNormal"&gt;Dr. Ashwini Bhide Deshpande started the concert with a raga called Rasikpriya. This raga is very similar to Kalavati raga except for rishabh in avarohana. She sang the raga for about 30 minutes. Her singing was so effortless that many must have felt that singing is very easy. A similar experience we get when Sacin Tendulakar is batting. He makes batting look so easy. Her &lt;i style=""&gt;aalap&lt;/i&gt; and &lt;i style=""&gt;boltana&lt;/i&gt; were especially superb. After this performance there was a break for an interactive session which is a very important aspect of any SPIC-MACAY concert. In this session audience get a rare opportunity to interact with the performers. Someone in the audience asked a right question about the lyrics of the songs that are sung by Hindustani classical singers. Many times the lyrics are not understood. To this query, her response was that the lyrics are not very important in Hindustani classical music. In the initial stages of the raga expansion in the concert, lyrics play a role in setting certain mood. However after some time in the raga expansion, one is free to give his/her own interpretation in the mood built and draw their own pictures. This is the power of Hindustani classical music. This way everyone is able to draw his/her own picture in their mind. To illustrate this point she sang raga Shree for 3 minutes. All of us closed our eyes and drew pictures in our minds. Guess what, every one had a picture in their mind and many explained it in the discussion that followed. &lt;/p&gt;  &lt;p class="MsoNormal"&gt;&lt;o:p&gt; &lt;/o:p&gt;&lt;/p&gt;  &lt;span style=";font-family:&amp;quot;;font-size:100%;"  &gt;One thing I learnt that day: for all these great musicians, the language of communication is music. That is why they are so great. I could feel that the singer was able to communicate with the tabalji and peti vadak with the &lt;i style=""&gt;tanas &lt;/i&gt;and &lt;i style=""&gt;boltanas&lt;/i&gt; she was singing. All of them were enjoying that musical conversation. Next time when you attend any musical concert, you may understand the musical language and then you can proudly claim that you understand Indian Classical Music.&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-407175569020161525?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/407175569020161525/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/indian-classical-music.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/407175569020161525'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/407175569020161525'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/indian-classical-music.html' title='One Musical Evening'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-7004278638568720946.post-5417503268837536557</id><published>2009-01-10T17:51:00.001+05:30</published><updated>2009-01-10T17:59:36.384+05:30</updated><title type='text'>First Step</title><content type='html'>Dear Friends,&lt;br /&gt;          If you are reading this:&lt;br /&gt;You reached this space by chance!! I believe that almost all things in one's life happen by chance. If you do not believe this, think for two minutes. You will agree with me that all the &lt;span style="font-style: italic;"&gt;important&lt;/span&gt; things in your (which you consider important) happened just like that!! You did not make these things happen.  What do you say?&lt;br /&gt;So you may consider this (visiting my blog) as a very important thing your life, since this also happened by chance.&lt;br /&gt;&lt;br /&gt;In this space I will express myself and you are welcome to share your views on various topics that I will discuss.&lt;br /&gt;&lt;br /&gt;For the time being goodbye!!&lt;br /&gt;Will start writing soon..&lt;br /&gt;&lt;br /&gt;till then&lt;br /&gt;enjoy expressing.....&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/7004278638568720946-5417503268837536557?l=bolswanandbol.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://bolswanandbol.blogspot.com/feeds/5417503268837536557/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/first-step.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/5417503268837536557'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/7004278638568720946/posts/default/5417503268837536557'/><link rel='alternate' type='text/html' href='http://bolswanandbol.blogspot.com/2009/01/first-step.html' title='First Step'/><author><name>Swanand Khare</name><uri>http://www.blogger.com/profile/14446659007284612614</uri><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><thr:total>0</thr:total></entry></feed>
