# Abel Prize Laureates

Abel prize is one of the most prestigious awards given for outstanding contribution in mathematics, often considered as the Nobel Prize of Mathematics. Niels Henrik Abel Memorial fund, established on 1 January 2002, awards the Abel Prize for outstanding scientific work in the field of mathematics. The prize amount is 6 million NOK (about 1010000 USD) and was awarded for the first time on 3 June 2003.

# Mumbai Magicals -II

Steamers – Mumbai Coast

Taj Hotel

# Mumbai Magicals

Very cool old couple statues | Alta Mount, Near Mumbai Educational Society, Mumbai

Wall Tiles from Hilton Tiles Factory, Mumbai

# Light the bulb: An everyday logic puzzle

You are inside a room and there are exactly three electric bulbs outside of the room. The three bulbs have their corresponding switches (exactly three) inside the room. You can turn the switches on and off and leave them in any position. How would you identify which switch corresponds to which electric bulb, if you are allowed to go outside and come inside the room only once?

# Interesting and Must Read Papers and Articles in Mathematics

Mathematics is beautiful and there is no place of ugly mathematics in this world. Mathematics is originated from creativity and it develops with research papers. Research Papers aren’t only very detailed and tough to understand for general student, but also interesting. Here, I have collected the list of some excellent articles and research papers (belong mainly to Math) which I have read and are easily available online. The main source of this list is ArXiv.org .

# WordPress URL Shortening: An Interesting Consequence

Long post and page URLs can be annoying. There are times when you may want to edit WordPress slugs for long titled posts or pages, so you can share a shorter link with friends. Here’s an example: http://gauravtiwari.org/2011/02/06/derivative-of-x-squared-is-2x-or-x-where-is-the-fallacy/ (one of the most popular posts from my blog). Would you like to write these (about) hundred characters? Or would you like to use WP.ME link shortener, which for this post was http://wp.me/p14tlY-hv ? Well, second idea sounds better than first one. But you’ll never get the same satisfaction from it because blog URL http://gauravtiwari.org is not visible, and also looks odd when typed in address bar. What then? This post is on some choices you might want to try. But before we go, let me explain what slug is?

# Solving Ramanujan’s Puzzling Problem

Consider a sequence of functions as follows:-

$f_1 (x) = \sqrt {1+\sqrt {x} }$
$f_2 (x) = \sqrt{1+ \sqrt {1+2 \sqrt {x} } }$

$f_3 (x) = \sqrt {1+ \sqrt {1+2 \sqrt {1+3 \sqrt {x} } } }$

……and so on to

$f_n (x) = \sqrt {1+\sqrt{1+2 \sqrt {1+3 \sqrt {\ldots \sqrt {1+n \sqrt {x} } } } } }$

Evaluate this function as n tends to infinity.

Or logically:

Find

$\displaystyle{\lim_{n \to \infty}} f_n (x)$ .

# Google PageRank Updated – We became better

Google PageRank (PR), the most popular base 10 website popularity algorithm, has received an unexpected update on this December 6 –exactly 10 months and 2 days after the last update was released. MY DIGITAL NOTEBOOK has regained its PR4 rating, which was gone to PR1 after I upgraded the site-domain from subdomain wpgaurav.wordpress.com to gauravtiwari.org in November 2011. In last PR Update (February 4, 2013) the PageRank was 3 and I was expecting it to increase by one or two more in the update  scheduled to be some-when in 2014. Even I don’t play with backlinks strategies, this achievement is a pleasant surprise.

# 42 Social Media Icons

## Diagonal Social Media Icons

Download the icon pack (ZIP file: 21 PNG files of 256px X 256px dimensions) :

• Included social sites are:
*WordPress.com / WordPress.org

The hoarding.

# MY DIGITAL NOTEBOOK is now using MathJax

The very first trouble I faced, while moving the blog from WordPress.com hosting to WordPress.org, was due to a bug in WordPress’s OPML importer. The ‘importer’ messed up with all LaTeX equations on this site — just by deleting a single but very important string from all LaTeX codes. If you are really moving your WordPress content from one blog to other and you have mathematical codes or any other type of coding like C, Perl, PHP and Unix stuffs, then you must read this otherwise you may face the same issues like me. The WordPress OPML importer deletes backslash ”\” from all your posts/pages and media descriptions. A math-blogger knows how important is the backlash for LaTeX/TeX typesetting.

# Examination Strategies : Tactics & Tips

This is a guest post!

Every student or graduate knows how hard the first experience of passing exams is. Preliminary preparation starves the nervous system and the physical condition of the human body, however, the exam itself is always a stressful situation, which requires a candidate a great manifestation of mental and physical abilities.

# ‘The Theory of EVERYTHING’ is home!

I was at the store in search of ‘a brief history of time‘ by Prof. Stephen W. Hawking, but the unavailability and my tough luck lead me to buy:The Theory of Everything by the same author. Not so great book as expected under Hawking’s name, this book is all about the rise and fall of the universe, from Hawking’s vision. It’s just a collection of some lectures by Prof. Hawking on cosmology.  Since I read at wikipedia that the theory of everything is not an authorized creation by Hawking, I’m feeling a little cheated, even though it’s a very nice book to read in free time.

# The Nobel Prize in Chemistry 2013

Classical mechanics is considered to be just opposite to quantum physics in terms of theory and practical models. Classical mechanics, especially Newtonian Mechanics, and quantum mechanics are definitely two fundamental but equally different branches of physics having no significant connection to each other. These completely disjoint subjects were glued by the work of the trio of Martin Karplus, Michale Levitt and Arieh Warshel, the professors of chemistry from the universities of United States of America in decade of 1970s. This way, they have been granted Nobel “for the development of multi-scale models for complex chemical systems” by Royal Swedish Academy of Sciences, after their 40+ years’ continuous and fruitful work.