Mau’s Question

May 24th, 2008 admin

There is a matrix of numbers with n rows and m columns. The matrix consists of integers taking the value 1 through n. That is, at any given cell in the matrix the value is 1 or 2 or 3 or … or n. We want to find out how many such matrices exist in which you can always find n cells, one per row, that together have all the n unique integers in them.

Here is my approach and my solution to the problem. This solution has not been verified by Mau or anyone else, and there is a chance that I am missing some aspect of rigor required to make the proof watertight and, thus, self-verifying.

Approach

The space of all nxm matrices can be divided into a disjoint set of matrices that completely span the space. This disjoint set comprises
- matrices which have no row with all n numbers
- matrices which have exactly one row that contains all n numbers
- matrices which have exactly two rows that contain all the n numbers
… so on till
- matrices which have exactly n-1 rows that contain all the n numbers
- matrices which have each of the n rows containing all the n numbers

Now we can solve the problem for each subset that makes up the disjoint set that spans the space of mxn matrices, and add up the individual results. Interestingly, working backwards makes more sense to me. So let’s look at the subset of matrices which have all the n numbers in each of the n nows. There is no candidate matrix here that fails our criterion. All matrices will satisfy the criterion. Let’s call the set of matrices that satisfy the criterion, the set S and those that fail the criterion the set F. Therefore no matrix in this subset adds to F.

Next, let’s look at the subset of matrices which have all the n numbers in exactly n-1 rows. The remaining row, whatever be the number or numbers it carries, will cause the matrix to satisfy the criterion. Therefore no matrix in this subset adds to F.

Next, let’s look at the subset of matrices which have all the n numbers in exactly n-2 rows. The remaining 2 rows, will cause the overall matrix to fail, if they have no more than 1 number in them. That is they remaining two rows must be full of only one number. If a second number exists in either of the two rows, the matrix satisfies our criterion.

And so on.

So, the number of matrices in F is a sum of the following product over all values of i:
(how many ways can we select n-i rows)(how many ways can all n unique numbers show up in each of those selected rows)(how many ways can the remaining i rows contain, at most, i-1 unique numbers)

Solution

Basically, out of all possible matrices with n rows and m cols such that each element is an integer between 1 and n (both included), I try to figure out the number of matrices which do NOT satisfy the condition we are after, i.e., for these matrices you CANNOT select n elements, one on each row, such that the n elements are the n unique numbers, 1 through n. Call this set of matrices, which fail the condition, F (for fail). We are trying to find how many elements are in the set F.

The final answer for the number of matrices the satisfy the criteion, therefore, will be n^(n.m) – |F|, where |F| represents the cardinality of F, that is, the number of elements in set F.

To get to |F|, my line of thinking was:

F =
matrices for which there are, at most, n-1 unique numbers in the n rows
+ matrices for which there are, at most, n-2 unique numbers in n-1 rows and all n numbers in the remaining 1 row
+ matrices for which there are n-3 unique numbers in n-2 rows and all n numbers in the remaining 2 rows + … etc.

By ensuring that all the n numbers show up in the remaining x rows we are making sure that the matrix that satisfies a given term in the above summation does not satisfy the the previous term, and thus avoids being double counted.

Substituting terms,

|F|={ ^n}C_n{ ^n}C_{n-1}{ n-1}^{nm}
+{ ^n}C_{n-1}{ ^n}C_{n-2}{ (n-2)}^{(n-1)m}{ ((m-n)^n\frac{m!}{(m-n)!})^1}
+{ ^n}C_{n-2}{ ^n}C_{n-3}{ (n-3)}^{(n-2)m}{ ((m-n)^n\frac{m!}{(m-n)!})^2} + …

As a summation, this can be written as

|F| =\displaystyle\sum_{i=0}^{n-2}{ ^n}C_{n-i}{ ^n}C_{n-i-1}{ (n-i-1)}^{(n-i)m}{ (\frac{(m-n)^nm!}{(m-n)!})}^i

Here is how to understand each term in the summation above:
^nC_{n-i} is the number ways can you choose n-i rows
^nC_{n-i-1}  is the number ways can you choose the n-i-1 numbers that will go into the selected n-i rows
(n-i-1)^{(n-i)m} is the number of ways can those (n-i).m elements in those n-i rows be filled with the chosen (n-i-1) numbers
(\frac{(m-n)^nm!}{(m-n)!})^i is the number of ways we can guarantee that the remaining i rows each contain all the n elements.

Posted in Tidbits | No Comments »

Annamacharya Jayanti Celebrations in Morrisville, NC

May 22nd, 2008 admin

On May 17th, Kavita’s music teacher, Mrs. Anuradha Chivukula, organized Sri Annamacharya Jayanti celebrations at the Hindu Bhavan Hall in Morrisville, North Carolina. She has been organizing this event every year for the past 11 years. The main purpose is to celebrate the great 15th century poet-composer-saint Sri Annamacharya by bringing together the local Carnatic music and Indian Classical dance talent to participate in the celebration. This also gives a wonderful opportunity for the local and regional audiences to enjoy some beautiful music and dance, and socialize. Many of the participants and members of the audience also bring food items and this provides for a large pot-luck style lunch and is an added draw for the audience. Of course, all of this is at no cost to the audience! Kavita participated this year in the event by singing, as part of a group, 4 kritis composed by Sri Tallapaka Annamacharya.

Here are some video snippets of the event.

 


 



 

Two girls (whose names I will provide as soon as I can find out) did an awesome job singing the kriti, “Vande Vasudevam”.

 




 

Kavita’s music teacher, Mrs. Anuradha (in the center in the video) along with other participants (Left to Right: Mrs. Jyothi Sadhu, Mrs. Srikanthi Gunturi, Mrs. Anuradha Chivukula, Mrs. Lakshmi Putcha and Mr. Subramanyam Darbha) sang the 7 main compositions by Sri Annamacharya, called Saptagiri Kirtanas. They were supported by, Mr. Kalyan Sundar on the veena, Mr. Vikram Raj Kumar on the violin (Vikram is an NC State student) and Master Arjun Raghavan who did a splendid job playing the mridangam.

 


 



 

Kavita and friends (Left to Right: Mrs. Sumana Nanduri, Mrs. Kavita Krishna, Mrs. Usha Jayanthi, Mrs. Lakshmi Karra and Mrs. Uma Gorti) singing some kirtanas.

 

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Comments on my older webpage

May 20th, 2008 admin

March 22, 2005 – 08:22 PM

Vijay Vadali: Akka told my friends and me about your website.”You have made imagination turn real”. Some of my friends are so inspired by the pics of your house that they now are drawing inspiration. Wonderful pictures.

Anil’s Response: Thank you (also for bringing to my notice the problems with the previous guestbook)

March 22, 2005 – 08:22 PM

Venkat Moncompu: Hi Anil, It’s by far the most well created website by a working individual that I have come across in the recent times. The pains taken to keep it chronologically and meticulously organised, speaks for the enthusiasm and effort that does go into such an excellent website. One of your picture – that of the cyclist in motion – fascinated me since I’v been always wanting to take one such picture at high shutter speed. Have read about the techniques in photography books but never tried it. Looking forward to meeting you in early october.. till then. cheers, Venkat

Anil’s Response: I’ll tell you more about how to take such pics the next time we meet which I suppose would be this April!

December 22, 2004 – 08:22 PM

Saurabh Mishra: Awesome job anil!! Very well organized and excellent collection of poems, pics, thoughts and just everything else. Keep up the good work. Best wishes to you and Kavita for the wedding. -Saurabh

Anil’s Response: Thank you

March 22, 2005 – 08:22 PM

Prashant Kaushal Hi Anil, Congratulations for maintainig such a wonderful site. Good Job!. Also, CK’s pictures were great. Cheers, Prashant.

Anil’s Response: Thank you, CK’s pictures are usually great!

March 22, 2005 – 08:22 PM

Meenakshi Chandrasekar: anil!! ur poems are awesome!!the website on the whole is great! meenu

Anil’s Response: Thank you Meenu. Keep in touch!

March 22, 2005 – 08:22 PM

Giridhar Appaji Nag: Anil, surfed over here from Samya’s site. Good to read your poems again.

Anil’s Response: Thank you and your webpage inspires me. Good stuff.

March 22, 2005 – 08:22 PM

Babji Gudapati: Good work Anil. Keep it up. Picures are very good and your sketch work is excellent.

Anil’s Response: Thank you for your kind words!

March 22, 2005 – 08:22 PM

Amit Juneja: Great website, Anil. It was nice to put the tips for parents’ visit to the US. Of course, great sketches and paintings. And what is mango dal? Next time we meet, you are cooking this for us!

Anil’s Response: Most certainly we shall make mango dal the next time we meet!

Anil Krishna: The guestbook items posted March 22, 2005 are actually collected over a period of about a year or so prior to that date. The reason they all show up on the same date in this guestbook is because I moved these entries from my previous guestbook which did not have the date information

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Setup and Hold Violations in Digital Systems

May 19th, 2008 admin

I wrote this up when trying to prepare for my PhD Qualifying Examination this past semester (Spring 2008). It is a pdf file. You can read it here.

Posted in Tutorials | No Comments »

May the fourth be with you!

May 4th, 2008 admin

After many months of being unable to work much on my website, I ironed out enough wrinkles to be able to launch this new look, Wordpress-based webpage, which is more blog-like than my earlier webpage, which used the collection-of-pages style. I hope that the Wordpress format will make it a lot easier for me to keep posting more regularly now since I do not have to bother with formatting HTML etc. to make the page appear right. It may, therefore, put you squarely at the receiving end of some not-so-well-though-out, whimsical posts. With that warning, let me start off the content dilution that Wordpress allows me with a picture of some fresh and juicy strawberries we picked yesterday at Jean’s Strawberry patch in Apex (a 15 minutes drive away).

Posted in Events | 2 Comments »

Spelling Bee – Can you spell a L-E-T-D-O-W-N

January 7th, 2008 admin

Kavita and I saw the Broadway musical, “The 25th Annual Putnam County Spelling Bee”, at the Memorial Auditorium in Raleigh’s downtown yesterday. We bought the cheapest tickets ($21), but given that the auditorium was almost half empty, it was not hard to move down closer to the stage. I was not having as much fun as I normally do at musicals and theatre. I wondered if getting closer might help us catch some subtle expressions which I was missing, and, therefore, not enjoying the play as much. We did move closer to the stage, about 20 minutes into the show, of course, trying to choose an appropriate time so as to least disturb the thin audience and the performers.

However, the show never really managed to significantly challenge my expectations from a play. There were moments where it was inspiring, but most of it was a drag. The storyline, whatever little there was of it, was linear, going through each character’s circumstances and personalities one by one. There was hardly any complex, thought-provoking, interaction between the characters. The ballad, called the “The I Love You Song”, where one of the contestants remembers her mother who is in far-away India, seeking enlightenment, is powerful. Another sequence that I liked was one where a contestant, who, before spelling a word, always writes it on the floor using his “magical” right foot, does it in super slow motion. The sequence starts off at normal speed, ramps up in speed to a frenzy, and then slows down to a low frequency stupor, before rebounding to normal. The songs were not awe-inspiring, in general, and some dialogues bordered on being vulgar.

The stage and props remained quite static throughout, with not much in terms of visual impact. The literary impact, which must have been the main motivation behind making this a play, instead of letting it stay in the book that it originates from, was not terribly impressive either. I am sure I did not get all the subtle jokes, but before I denigrate myself too much, let me add that I did not want to go the show having done any homework. I went there to be entertained; if I did not catch all the subtle jokes, maybe they were too subtle. There was one piece of clever wordplay, where “what” is spelled by taking the w from a word where w is silent, h is taken from a word in which h is silent and so on. Such a “what” is never heard, claimed the contestant. Clever, but such cleverness would do just as well staying in a book. The theatre is supposed to be a feast for the eye and the ear, thought-provoking and awe-inspiring. This play does not manage to consistently meet such criteria, although it grazes those thresholds once in a while. There were some members from the audience who participate in the early stages of the spelling bee, providing some opportunity for seemingly impromptu, but potentially well-rehearsed, jokes, before their pre-planned elimination. Some of the commentary and references were from surprisingly recent political events. Participation by some members of the audience and this sensitivity to current news indicates that the script for the play lends itself to some modification and improvization.

Reviews I have read online were surprisingly positive, even rave, about the show. This is a small-budget production; maybe my expecting it to be comparable to the few other plays I have seen – “Phantom of the Opera”, “42nd Street” and “Annie Get Your Gun” – was wrong. However, even then, given that the tickets were priced just as any regular show would be ($21 to $70), I just did not guess that it would be a low-budget production. I am glad we did not buy more expensive tickets. I feel that plays are over-priced in the US. Except for one of the contestants walking into the audience throwing candy, most of the action was on the stage, which stayed pretty much unchanged as well. I do not see why I needed to go there in person to watch this show, when I could have probably seen it clearer, and, for less, on a DVD, feeling just as involved.

Posted in Experiences, Reviews | No Comments »

Entering the US using an Advance Parole

January 3rd, 2008 admin

I have been using my H-1B Work Visa to enter the US the last few times I traveled abroad. A few days back I entered the US using an Advance Parole document, instead. I provide a few tips here for someone in the same situation. An hour or so before the inbound flight is expected to land in the US Port of Entry the airline staff will pass around a Customs Declaration form, a Visa Information form (white in color) and a Visa Waiver form (green in color). Everyone has to fill out the Customs Declaration form. Its purpose is to declare to the Customs official at the port of entry, how much money and what other goods you are bringing in to the US. It is straightforward to fill out and requires you to make some quick estimates about the value of the stuff you are bringing in. For the purposes of this form and the others, if you are traveling on an Advance Parole, you are a “resident”. That is, you are not a visitor and you are not a citizen. You do not have your Green Card yet, so you are not a permanent resident yet, but you still are considered a resident. The green, Visa Waiver form applies to some specific countries and the airline staff can help you identify if you need to fill that form. India is not one of those countries. Indians, traveling on either a visitor or work Visa, or an Advance Parole, will need to fill out the white, Visa form. A part of this form eventually becomes the I-94 card that is stapled to your passport by the immigration official at the port of entry. A question in the white Visa form ask for the place and date of Visa approval. I simply put in the place and date of the Advance Parole approval, since I was using that document instead of a Visa to reenter the country. After landing at the port, Newark, in my case, I went through the Immigration Check first. There are 2 separate groups of lines. One group is for US Citizens and Residents. Another is for visitors and other Visa holders (such as H-1B or F-1 visa). I went to the US Citizens and Residents line. This line is much shorter than the other one. An Immigration Officer checked my Advance Parole, Customs form, the white, Visa form and my passport, put them all into a clear plastic envelope and asked me to take those to another officer who would verify the Advance Parole details. I assume this is needed only for people traveling on Advance Parole, and not for Citizens or Permanent Residents (Green Card holders). I took an elevator down to this next officer. His cubicle was actually right next to the baggage claim carousels and I think their office also inspects luggage which fails customs clearance. After sitting for about 10 minutes in the waiting area there, the officer got to my envelope and called me over. He checked everything was good and gave me my stamped and dated Advance Parole original, the stamped and dated Customs Form, the stamped and dated I-94 stapled to my stamped and dated passport. Then I stepped out of that area, picked up my checked-in baggage from the baggage claim carousel and joined the customs inspection line. I handed over the Customs Declaration form to the officer there and walked out of there with my luggage. Some people were being diverted, along with their luggage, for a customs inspection. I am not sure if it was because their Customs Form was not stamped like mine was, or because they wanted to actually inspect something in the luggage because of what was declared by the traveler. The last step, in my case, was to re-check-in the check-in baggage and go through the security check again because I had a domestic flight to catch to get back to Raleigh. The re-check-in area was placed, conveniently enough, right after the Customs. So I could not miss it. My bags had been checked in all the way to Raleigh at Delhi itself. So I did not have to actually check-in again. I simply dumped by bags in the re-check-in area, where it was helped on to the moving luggage belt by a couple of guys. Then I walked a but further and noticed the long security check line to reenter the terminal. That was it. My international journey was over and the domestic journey began.

Posted in Experiences | 1 Comment »

On the nature of religion

October 27th, 2007 admin

Recently, we had a long discussion on our IIT Guwahati, Class of 99, Google groups. It was related to a petition filed with the Indian Supreme Court regarding a song in a Bollywood movie, the lyrics, costumes and imagery in which were deemed derogatory to religious people in India. The discussion meandered its way through several interesting topics and opinions. Here I present a glimpse of my views on the topic of religion and why it is futile to judge what is religiously right or wrong. My friend, Samya, encouraged me to put these views up on the website. I present my thoughts verbatim from my email and therefore any contextual references that seem out of place or emotional here should, kindly, be excused.

I find the notion of religion an interesting subject to think about. Even in this short discussion we have found many points of view, many frames of reference, many notions hidden behind the word “religion”. Thinking of religion reminds me of the story of the 5 blind men trying to understand what an elephant is. I do not see those men, as the story seems to imply, as lacking any specific faculty. I see them as normal humans. I do not see the elephant as an understandable subject that is only difficult to understand. Finally, I do not see the blind men as failures because their “limited” point of view. If those were blind men and that elephant was their large unassailable subject, what makes us, the reader of that fable, special in that we are able to see the big picture? In the real world, we are one among those men, and, therefore, we will not be able to see the entire elephant. Even more importantly, what *is* the “entire elephant” in such a real world? Just because the blind men are feeling around does not mean there is an elephant to be discovered. If there was no one to tell those blind men that they were touching an elephant, how would they *ever* know that it was an elephant they were touching? To me the “elephant” is the ability to be able to simultaneously acknowledge that each of the billions of blind men do have a piece of the view that the others will never have. Further, to me the elephant is the ability to distill those billions of view points into some common, uplifting, purposeful goal. This live interaction between the minds and view points of these billions of people is not just impossibly difficult, thankfully, it is unnecessary. Why should there be one common elephant that all have to agree to have understood?

Search for a common religion is like this search for the one elephant. It is impossible. Again, careful when I say impossible, it is nothing to be dejected about. It is an elevating feeling. It is like the blind men saying, “Hold it off for a minute…why do we *have* to *all* see the same thing?” It is an elevating feeling because you can, finally, let your conscience guide you without the haunting feeling that you are missing something. We have a faculty for thinking. The blind men still had the sense of touch. Let us use what we have and figure out what purposeful goal we see from our vantage. Let there be a billion religions for a billion people. Anytime we *name* a religion we are in trouble. There are not enough names to make it worthwhile. And anytime two people who name their religion the same but are at different ends of the elephant, there is bound to be frustration. Anytime two groups of people name their religion differently, they try to evaluate the better point of view, the “true” religion. They try to *help* the other group out by bringing them to their end of the elephant, while not acknowledging that there is no *reason* why their end is really better, except that *they* feel so. This brings in ego. The problem with ego is that it is the tendency to prioritize your thoughts over another person’s thoughts *without* reasoning through them, that is, without using your faculty of thinking honestly.

Therefore, I am cautious anytime I am asked, “What is your religion?”. If I thought about it long enough, I might be able to convey some ideas about what my “religion” is, but it will not make complete sense to anyone else in the world, because no one else shares my exact same position next to this impossible elephant. Why? Because no one else is me.

Here is the conclusion from a John Saxe poem

So, oft in theologic wars
The disputants, I ween,
Rail on in utter ignorance
Of what each other mean;
And prate about an Elephant
Not one of them has seen!

The complete poem is here

Posted in Philosophy | 2 Comments »

On the need for religion

October 27th, 2007 admin

After thinking a bit about the nature of religion, I started thinking about the need for it. Why are the blind men so intent on discovering an elephant? Here are some thoughts related to that topic. Again, Samya was the motivation behind putting these up on this website, and once again, a fable helped me explain the thoughts.

Another fable that I think applies to real life is the “grapes are sour” story . That one, as I recollect, portrays a fox that gives up on reaching a grape vine, consoling itself by saying that the fruit is not worth the effort. The way the story was presented to me seemed to imply that such an attitude is laughable and that one should be honest with oneself.

However, I believe that there is much to look up to in the fox’s attitude. The fox was able to weigh the cost and the benefit given the situation it found itself in, and decide the cost is more than the benefit. Such analysis is very important in real life too. It keeps us from getting stuck. Further, the fable seemed to imply that the fox wrongfully chose to “believe” in falsehood. It knew that the grapes would be sweet, but it still walked away thinking and saying they are sour! But think about it. Lots of people are able to live their life without going insane because of such an attitude. If a poor person suffers from a dreaded illness that has a cure but is expensive (or if a poor person, for no fault of his, gets run over by Salman Khan’s SUV), often they or their relatives resign to their fate saying that such is their karma, or saying that they must have done something wrong in their past lives, or that such was God’s plan, or even more tragically, that God loves that person more than others.

Those we call religious and those we call superstitious might actually be very reasoning oriented. They are so starved for a reason for why bad things happen to them that they create, or succumb to, this pacifying fantasy of their being a superhuman controlling their destiny; that there is someone who sees and cares. If you read the book “The Life of Pi”, this is the underlying theme in the book. There is a plain, calculated, probabilistic world where you do have a certain vaguely measuarable probability of dying in a freak road accident. And then there is the world where the accident had a reason behind it. Someone had a plan for why it had to happen. You did not die a meaningless death. No wonder we choose the latter view of the world under extreme helplessness.

The fox could have walked away acknowledging that it was completely helpless and that it would never, in its lifetime, be able to taste grapes, or, the fox could have walked away genuinely believing that grapes are sour. Guess which way the fox would be able to continue living with some sense of equanimity? Afterall, sometimes, we do take life too seriously, And sometimes, these grapes *are* overrated.

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In Phase Interview

September 30th, 2007 admin

A little over a month ago, Sourabh Sriom, a current student at Indian Institute of Technology, Guwahati, contacted me for an interview. IITG is where I earned my Bachelors degree. Our class, the class of 99, was the first to pass out of the new institution. The ECE Department at IITG has an ECE society called Cepstrum. On september 20th, 2007, Cepstrum released the first issue of the monthly magazine called In Phase. The purpose of In Phase is to both help the students be in touch with the happenings in their field, Electonics and Communications Engineering, and to help restore the social networks between alumni, faculty and students. I was honored to be asked for an interview. It helped me give the current students a view of how my career progressed, after graduating from IITG, and also helped me a chance to reflect on a few things. I would like to thank IITG and Cepstrum for giving me this opportunity. I also was pleased to see the continued support of the faculty at IITG, many of whom I studied under, in this endeavour. It was great to read Dr. P. K. Bora’s communication to the In Phase team, which appears in the magazine too. Here is the original link to the magazine, which appears in the Cepstrum webpage here. I also made a local copy of the magazine on my webpage here. Note that this is a 5.8MB pdf file. It might take some time to open up, and your browser needs to be able to open pdf files. A few questions and answers form my original response had to be removed due to space constraints in the magazine. If you just wish to read the interview questions and answers, the full interview follows.
1. Being a student of the 1st batch of our IIT, tell us about your apprehensions and pre-conceived notions, if any, about IITG.

From what I recollect about my state of mind then, I believe I was more excited than apprehensive. The opportunity to study at an institution where the quality of education, faculty, students and facilities was reputed to be at par with the best in the country excited me. My inclination was towards ECE as a subject area and I was only grateful that I could pursue that subject at IITG when I probably could not elsewhere, given my rank in the JEE. My only preconceived notions about IITG were that it would be a young institute looking to build itself, both in literal terms and in its beliefs and character. I knew it would be an institute that would not have much to show for itself in the first few years in brick and mortar terms. I also knew that when you put smart, motivated and courageous people – people who were smart enough to get into IITG, motivated enough to prioritize their area of academic interest over the place of study, and courageous enough to choose an hitherto unexplored destination � the chances are good that you will end up with an institution you can be proud of.

2. Did these feelings live up when you finally entered IITG? That is, how were your first few days at IITG?

The disappointment of seeing the small, unassuming, pale, four-storied building tucked in the cramped, commercial heart of the city, further isolated by the agonizing groans and rumbles of slow-moving trains on railway lines on one side, and the noisy arch of the Pan Bazaar flyover too close for comfort on another, could have been overwhelming; for me, however, there as no disappointment. The lack of a tangible, photographable campus with large buildings and facilities was probably compensated for, subconsciously, by trying harder to do the best we could with what we had. And what we had were a batch of 64 motivated students, great faculty and the hope that everything else an institution needs would come in due time. I think the one thing that IITG had from day one was fantastic people. And that takes care of the two main aspects of undergraduate education � developing academic skills and developing social skills.

3. Did you feel let down at any point during your stay here? (If, yes what or who boosted your confidence?)

No. I do not recollect feeling let down at any point. The reason might have, partly, been that I had nothing to compare our experiences to. But even in absolute terms, I think the IITG Administration was sensitive to our needs and were always receptive to our suggestions. Even when there were the occasional drooping shoulders, the administration, faculty members and other students would boost the morale by providing honest perspective.

4. Talk us through the experiences of the rest of your B. Tech, the faculty, other students, and, the placements.

We were lucky to have some highly motivated faculty members whose knowledge of their subject was thorough, and, enthusiasm for their craft, contagious. It was a pleasure to actively learn from them in the classroom and beyond. With 63 other students to begin with and with more joining in the future years, it was a non-stop learning experience in social behavior. The emotional support, comic relief, opinionated exchanges and lifelong friendships are experiences we students shared with each other and the faculty. The combination of our being in our late teens, the 4 years we were together for and the shared adventure that was IITG, might be the reason why the friendships made in those days are still so strong. The placements and higher studies are but a blur in my mind. I remember that even then we were able to attract some of the best companies and were offered good jobs with competitive pay.

5. What prompted you to go for higher studies abroad?

My main motivation for higher studies was that I felt I had only begun to skim the surface of my field and there was a lot more for me to learn. The other school of thought was that what you really need to learn you can learn while doing a job. Though that was true to the extent of doing your job well, I wanted to learn more for its own end. That is, I wanted to learn what great minds of the past had thought up or discovered, for no other reason than that I wanted to know. I had no plans for how I was going to use that knowledge. Why abroad? I wanted to explore the kind of academics and research that is practiced in other reputed institutions of the world. It was, in some sense, IITG all over again – the yearning to put yourself in a new situation, to, hopefully, gain a new perspective.

6. Did the department guide you in this goal of yours? If yes, then in what way?

Yes. Because we did not have any student history to go by, being the first batch, we had to research the process of applying for a PhD or a Master�s ourselves, to a large extent. We had faculty members who were extremely helpful in educating us on how to go about applying, how to attempt standardized tests for graduate school entrance, and which schools to choose, based on their experience and contacts. Lastly, they wrote us honest recommendation letters.

7. What were the major differences you felt graduating from a premier institute in India to doing your PG from a reputed university in the US?

I went to Purdue University in West Lafayette, Indiana, USA for my Master�s in Electrical and Computer Engineering. It was a gigantic University compared to IITG and certainly a bit overwhelming. The size, the history and the bureaucracy were the first things I noticed. It worked like a giant machine with things happening like clockwork running on old but well-oiled and well-cared-for parts. However, I was able to find myself an apartment, make new friends, get a decent understanding of the geography of the large campus, get my head around the official rules and requirements, participate in a different culture, continue good performance in academics, and participate in sports and other extra-curricular activities. So all in all, I think IITG prepared me well to take up the new challenges in the new environment.

8. How did you land up in IBM? Tell us something about your stint there.

Similar to placement interviews at the end of a B.Tech at IITG, there was a job fest organized at Purdue University�s ECE Department. I interviewed with several companies and decided to get some exposure to the industry. I joined IBM, primarily, because of the company�s reputation, the breadth of knowledge the company seemed to possess and because the team that interviewed me seemed to be doing very interesting work. The main difference between academia and industry is that industry tries to channel research into an end product that is tangible, useful and therefore, sellable. IBM has a Research division too; however, the team I joined is part of Development. I work as a Future System Performance Engineer. My work deals with helping hardware designers and system architects optimize the design of a future computer system such that it performs the best it can, given various requirements, such as expected workloads, throughput and latency requirements, and constraints, such as the area and power budget, architectural or microarchitectural extensions allowed etc. I learn a lot of new things on the job and work with some very sharp people.

9. At what point during your job did you make up your mind to go for a PhD?

I noticed that high importance is given to innovative thinking at IBM. I realized that with better knowledge of the Computer Architecture field, I could not just solve the current design problems better, but more importantly, I could foresee future problems and try to incorporate that vision into the current solutions. I also noticed that in the region where I live and work, there were several good Universities and IBM management was always supportive and encouraging in allowing me to go back to school for either an MBA or a PhD. So after working for about 4 years at IBM, I applied to and joined North Carolina State University in Raleigh as a part-time PhD student. By then I had gotten a reasonable understanding of the types of design and technology constraints computer architects and hardware designers face in their work and the kind of solutions that make a product competitive in the market. I thought the time was right to look at the directions academia was taking in this field. Academia and Research are typically a few years ahead of the Industry and Development. Therefore, being in touch with academia allows you to see patterns that would be harder to see from within the industry.

10. How was research in ECE different from a job in the area?

Though I have not yet started serious research as part of my PhD, and am currently taking classes and only recently formed my Advisory Committee, I can give you my current view on this topic. Since I joined my PhD after some exposure to the industry, I can research a topic that is a new and interesting problem both in academia and industry. Such overlap is usually not perfect, but if research in an academic setting is guided to some extent by real problems faced by engineers, it leads to research that is more purposeful.

11. How would you compare India and the US in terms of opportunities in the ECE field?

Having limited exposure to the industry in India, I have to go by my understanding of what I have heard or read. I believe that India has a foot in the door to becoming a knowledge superpower. India is already a major player in the software and services industry. From being a middle-man providing support to the producers and the consumers, India is itself moving towards being a big producer and a big consumer. That is a significant shift, because as a producer you create value where it did not exist before, and as a consumer, you provide a reason for the producers to produce. India seems to be on the threshold of a gear change in this engine of value-creation and value-aware-demand. In ECE and related fields the differences in opportunities between the US and India will continue to shrink as long as India continues to take the opportunities that come her way and discover or create new opportunities on her own.

12. Would you like to share a piece of advice with our readers about how they should plan their career moves.

Based on my limited experiences, based on what has served me well, assuming a vast majority of the readers are students at IITG, and assuming a general guideline rather than a strict example is useful, my advice is, be honest and positive. By honest, I mean several things. Be forthright in your assessment of where you are, where you want to be, how to get there. Be a humble follower when you should be, and likewise, a confident leader when you should be. Be connected to reality by being aware of your thoughts, your motivations, your limitations, your duties and your actions. By positive I mean, most importantly, try to keep improving yourself. Try to do the best job in everything you do. How you define �improvement� or �best� depends on how honestly you can judge where you are and where you want to be. Try to improve that ability to judge as well. By positive I also mean be creative. Get into the habit of practicing your innate creativity. We have the brains and the training to actively create value, rather than passively consume it. Even when being a consumer be an active one. Be a good follower (active consumer) and be a good leader (active producer). Let the opportunity to partake in creativity guide your career moves.

13. Finally, a word for the very first people at IITG, the director, the faculty of the department, the HOD. I�m sure they all would be proud of you.

I am and have always been impressed by the positive energy of the IITG Administration and Faculty. In twelve short years the progress made by IITG has been remarkable and most of the credit should go to these nurturing souls. I am grateful and proud to have been, and still be, a part of IITG. I am positive it will continue to grow in stature and fulfill its role in shaping the world.

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