Ramanujan sum of natural numbers – intuitive conundrum!

Srinivasa Ramanujan FRS (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Living in India with no access to the larger mathematical community, which was centred in Europe at the time, Ramanujan developed his own mathematical research in isolation. As a result, he rediscovered known theorems in addition to producing new work

Here’s an amazing mathematical result derived by using Ramanujan summation:

1 + 2 + 3 + 4 + 5 + ... = -1/12 (R)

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Trek to Takmak Fort – a story of the boy and his dog

Of the many forts in the Thane region, all of which were primarily built and managed by the Portuguese during their reign of Bassein (Vasai) in the 16th century. Takmak Fort is on a hill to the north east of Virar, on a hill at a height of 2000 feet and it provides some amazing views of the confluence of the Tansa and Vaitarna rivers to the west of the fort, and of Vandri lake near Vajreshwari to the north-east.

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Cycling to Uran – Dronagiri Hill Fort – Migratory Birds

Located on the Karanja peninsula across the Dharamtar creek to the east of the Mumbai, Uran is actually quite an odd place – a small fishing village but also hosting Asia’s first power plant run on gas by ONGC and neighbor to the largest container port in India – JNPT or Nhava Sheva.

But there is another attraction in Uran that is not quite known – on a hill top near ONGC lies Dronagiri Hill Fort. We planned to cycle from Andheri to Uran, see the fort and return back the same day – a total distance of about 120 km. I was accompanied by the dynamic young Saurav Singhal better known as Sam K Singh – who added the much needed conversation and humor to the otherwise quiet solo expeditions that I normally undertake.

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New Year Celebrations at Snehasadan – shelter for homeless kids

To celebrate the new year’s eve of 2013, a group of friends and their families came together at Snehasadan, a shelter for homeless children at Jogeshwari, where 45 boys from the age of 6 to 20 live with their house-parents – the D’Souzas. Laden with lots of goodies including yummy snacks and gifts, the volunteers spent their new year eve with the boys and played lots of games and made friends with them.
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Cycling to Nalasopara – Buddhist Stupa and Chakreshwar Mahadev Temple

Ever since I started the Mumbai Historical Sites Cycling Association project, I have started receiving a lot of feedback and suggestions on sites of historical significance in and around Mumbai.

A few months back, the multi-talented Shweta Gupta – nature lover, traveller, cyclist, professional patent agent and business development executive for a pharma company and who is also studying archaeology wrote to me:

hi!! keep reading yr blog about u cycling to heritage places around mumbai
recently visited a temple close to chakreshwar talav in nalasopara which has a few 9th century idols & also one agni idol probably dated to 2nd century
thought it might interest u to cycle there

I did a little more digging around about Nalasopara and also came to know about a Buddhist Stupa that is located there. Two historical sites close to each other was just too good to miss. So earlier this month, I set out cycling to explore Nalasopara.
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Cycling from Mandwa to Murud – Janjira Fort and Khokari Tombs

Ever since I cycled to Korlai fort along the Konkan coast from Mandwa, I had wanted to continue along the same route south to the next big fort near Murud – Janjira fort – the Siddi stronghold. It is just 30 km south from Korlai fort, and at a total distance of 71 km from Mandwa. I did a two day ride with an overnight stay at Murud, giving me enough time to explore all the historical sites around Murud.

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Dealing with a teenage kid is learning to be an adult

Having crossed an important milestone in my own life – completing half a century – seems to coincide with a big challenge in life – dealing with a teenage son. Everybody warned me that it was a critical phase in their life, and I need to be careful in bringing up teenage kids. But I believed I was quite capable, and did not really pay any special attention to figuring it out.
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Cycling to Sewri Docks and Sewri Fort

Taking off on our cycles early in the morning with no other plan than catching the sunrise, we ended up riding to Sewri Docks, and I got a chance to re-visit one of my favorite forts in the city – Sewri Fort. I had first been to Sewri Fort in January this year, one of the first when I began Mumbai Historical Sites Cycling Association (MuHiSiCA).
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Cycling to Korlai Fort – Morro de Chaul

Korlai Fort is located on the Konkan coast, on a hill that juts out into the sea just south of Revdanda. Built in 1521 by the Portuguese as a companion to their stronghold in Chaul, the fort lies at the mouth of the Kundalika river that flows down from the Tamhini Ghats via Kolad. The hill on which it is built is called Morro de Chaul and which now also hosts a well maintained lighthouse.

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Review of Women’s Skechers Gorun 2 by Shimul Bijoor

Shimul Bijoor, my daughter is a middle distance runner specializing in 200 and 400 meters. She was invited by Skechers to try out and review their new running shoes. Excited by the idea of getting a free pair of shoes to try out, she went ahead and attended their presentation and got back a pair of shiny new running shoes.

Here is the review she wrote after two weeks of trying them out:
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OxFam Trailwalker 2013 – an experience of a lifetime!

We finished the OxFam Trailwalker! 100 kilometers of mostly off-road trails through beautiful countryside around Mulshi lake, winding its way through the hills, meadows and forests – an amazing experience! A physically grueling trail that is supposed to be one of the most difficult OxFam trails around the world, we were thrilled to have completed it in less than 31 hours well within the 48 hour limit – though none of us have walked continuously for such a long trail ever before!
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Cycling to Ambernath Shiva Temple (Ambreshwar)

Ambernath was just another station that one passed on the way from Mumbai to Pune that came between Kalyan and Neral (actually between Ulhasnagar and Badlapur). However as part of the Mumbai Historical Sites Cycling Association, while researching into historical sites in and around Mumbai, I found references of an ancient Shiva Temple located in Ambernath, that seemed to be at the ideal distance of approximately 47 kilometers from Andheri. So one of the weekends in October this year, I set off early one morning with my cycle to investigate and find this ancient temple.

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The Cycling Gypsies of Rajasthan – a late night encounter in Mumbai

I was driving back from CST station after dropping off my son Rohan for his football camp and when I reached the Jogeshwari Vikhroli Link Road (JVLR) I saw ahead of me, 3-4 cyclists – not our normal cyclists these – they were riding the normal black BSA Hercules cycles that are ridden by most of the cyclists in India who ride because they cannot afford a more expensive vehicle.

They had no helmets, no fancy gear – and what made the sight the most stunning – was that the cycle held the entire family! Ridden by the man, his wife sat on the carrier behind holding a small baby in her arms, and a slightly older kid sat on the bar in front. On the back of their cycles a stick was tied with a small flag fluttering in the wind.
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Cycling from Bangalore to Manchanbele Reservoir via Big Banyan Tree

During my visit to Bangalore in September to speak at a big data conference, I took the opportunity to do some cycling on the following day, as it happened to be a Saturday.

I did a bit of research to find a good place at approximately 50 km distance from Bangalore and found some nice photographs of Manchanbele reservoir that cyclists had posted on the Bangalore Cycling Club group. Locating it on the map, I found it to be within 50 km of Bangalore and so it seemed to fit my requirements just fine.
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OxFam Trail Recce – walking through Tamhini hills and around Mulshi lake

This weekend three of the “Walking Souls” team – myself, Gautam and Swati – went to recce the trail that we are to follow during the 100km OxFam walkathon in November. We drove down to the starting point via Kolad, from where we took the road going towards Pune – a narrow single lane road that leads up to the Tamhini ghat, where our trail starts at a location called Garudmachi.
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OxFam Trailwalker – Walking Souls – our 100 km walkathon!

I am thrilled to be part of the “Walking Souls” team of four, and we are participating in this 100 km walktathon organized by OxFam India. To be able to qualify for the participation, we need to raise at least 50,000 INR by 8th November, 2013. I humbly request you to contribute whatever amount you can towards this noble cause, and enable us to participate in this race!

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Trek to Harishchandragad and Kokankada – spectacular route and views

4,691 feet above sea-level, with ruined fortifications and ancient caves tracing back to the Microlithic age, Harishchandragad fort is a perfect trekking destination in the Sahyadris. There are several different paths up to the fort. There two routes to reach the base from Mumbai are, one from the north via Bhandardara to Paachnai and the second via Malshej Ghat to Belpada.
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Worli Fort, Mahim Fort and Bandra Fort – guarding Mahim Bay

After visiting Sewri Fort on the east coast and Sion Fort to the north or the erstwhile Bombay Island, I wanted to visit the other three forts on the west coast. Worli Fort and Mahim Fort were on the British controlled Bombay Island while the third – Bandra Fort – was on the erstwhile Salsette Island controlled by the Portuguese.

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Big Data Innovation – Driving Business Success – Conference in Mumbai

bigdata_BB_Mumbai

I have been invited to be a speaker in a big data conference in Mumbai on 22nd August 2013.

I shall be presenting a case study in the Pharmaceutical industry to illustrate how big data technologies can significantly add business value by reducing costs and increasing performance and capabilities in the field of intellectual property research.

The overall structure of my presentation is expected to be as follows:

  • Introduction to customer requirements
  • Existing infrastructure and its limitations
  • Proposed architecture
  • Introduction to Polyglot Persistence
  • Implementation challenges
  • Performance results
  • Other similar cases in different industries

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Sion Fort – guardian of Bombay Island

Sion Fort is situated on a hill within a non-descript garden in the middle of the bustling suburb of Sion, that you would normally pass by without noticing. But in the 18th century, Sion Fort was one of the most strategically located fort for the island of Bombay which was separated from the “mainland” island of Salsette, and was used to guard the only point of entry into Bombay – the Sion Causeway.

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Mandapeshwar Caves – Borivali – legacy of a tumultuous past

Mandapeshwar Caves is cut out of a hill in the quiet suburb of Borivali, hidden in a nook behind an open plot of ground just behind the “Our Lady of Immaculate Conception Church”. It was built around 550 AD, around the same time as the nearby Jogeshwari Caves and the Kondivite / Mahakali Caves. But the history of these caves is filled with strife, and the cave has gone through several iterations of being converted back and forth between a Hindu temple and a Chapel.

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Veloraid 2013 – Amateur cycling race – Mumbai, Thane

Twelve teams of 6 cyclists each – all amateurs – participated in a race with a beautiful route with a total distance of 180 km. Starting from Thane, the route goes along the Mumbai Nashik highway till Atgaon, then branches left towards Tansa lake, circles around the lake and comes back on the highway to head back to Thane. The rules were designed to ensure that each team sticks together and the timing of the 5th member is taken as the team time. All the teams did very well in spite of not being regular cyclists. The winning team was the Bikesharks team with a timing of 7:50 hrs, followed by the Nashik Cyclists with a timing of 8:14 hrs and closely followed by the Bhajiwala Cyclists at 8:24 hrs. Almost all the teams completed the race successfully. Amazing sportsmanship, and all the credit for the flawless organization goes to Haybren Adventures and its promoter Jose George, an avid cyclist himself.

Background music courtesy: Kaya Project – The Flow (Digitalis Remix)

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