Vamshi Jandhyala on Eudaimoniahttps://vamshij.com/Recent content in Vamshi Jandhyala on EudaimoniaHugo -- gohugo.ioenNobel Wisdom - 1https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-1/Thu, 03 Sep 2020 00:00:00 +0000https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-1/ACHIEVEMENT The difficult is what takes a little time; the impossible is what takes a little longer. – Fridtjof Nansen
All of us failed to match our dreams of perfection. So I rate us on the basis of our splendid failure to do the impossible. – William Faulkner
A man can be destroyed but not defeated. – Ernest HemingwayNobel Wisdom - 2https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-2/Sat, 05 Sep 2020 00:00:00 +0000https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-2/CHARACTER AND SELF-CONCEPT If you cannot be gold, be silver. – Juan Ramon Jimenez
Try not to become a man of success, but rather try to become a man of value. – Albert Einstein
A human being is never what he is but the self he seeks. – Octavio Paz
The main advantage of being famous is that when you bore people at dinner parties they think it is their fault.Nobel Wisdom - 3https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-3/Mon, 07 Sep 2020 00:00:00 +0000https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-3/FRIENDSHIP Choose your friends carefully. Your enemies will choose you. – Yasser Arafat SOLITUDE AND LONELINESS Today, there is no greater joy than to live alone and unknown. – Albert Camus
Solitude is the grandest prize that anybody could receive. – Camilo José Cela
I live in that solitude which is painful in youth, but delicious in the years of maturity.Nobel Wisdom - 4https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-4/Wed, 09 Sep 2020 00:00:00 +0000https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-4/THE THIRD WORLD When the missionaries came to Africa they had the Bible and we had the land. They said “Let us pray.” We closed our eyes. When we opened them we had the Bible and they had the land. – Desmond Tutu
Asia is not going to be civilised after the methods of the West. There is too much Asia, and she is too old.Nobel Wisdom - 5https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-5/Fri, 11 Sep 2020 00:00:00 +0000https://vamshij.com/blog/nobel-wisdom/nobel-wisdom-5/EVOLUTION A curious aspect of the theory of evolution is that everybody thinks he understands it. –Jacques Monod
The purpose of evolution, believe it or not, is beauty. – Joseph Brodsky
The time with which we have to deal is of the order of two billion years. What we regard as impossible on the basis of human experience is meaningless here.Can you find the luckiest coin?https://vamshij.com/blog/riddler-2022/luckiest-coin/Fri, 18 Feb 2022 00:00:00 +0000https://vamshij.com/blog/riddler-2022/luckiest-coin/A FiveThirtyEight Riddler puzzle.En Garde! Can You Win The Fencing Relay?https://vamshij.com/blog/riddler/en-garde/Fri, 10 Dec 2021 00:00:00 +0000https://vamshij.com/blog/riddler/en-garde/A FiveThirtyEight Riddler puzzle.Can You Slice The Ice?https://vamshij.com/blog/riddler/slice-ice/Fri, 03 Dec 2021 00:00:00 +0000https://vamshij.com/blog/riddler/slice-ice/A FiveThirtyEight Riddler puzzle.Can you stick it to the genie?https://vamshij.com/blog/riddler/genie/Fri, 19 Nov 2021 00:00:00 +0000https://vamshij.com/blog/riddler/genie/A FiveThirtyEight Riddler puzzle.Traveling Salesman Problemhttps://vamshij.com/blog/linear-optimization/branch-and-bound/Mon, 08 Nov 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/branch-and-bound/Solution using Branch and Bound.How Many Friends Are On The Riddler Social Network?https://vamshij.com/blog/riddler/social-network/Fri, 05 Nov 2021 00:00:00 +0000https://vamshij.com/blog/riddler/social-network/A FiveThirtyEight Riddler puzzle.Langford problemhttps://vamshij.com/blog/linear-optimization/langford-problem/Mon, 01 Nov 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/langford-problem/Three different solutions.Can You Survive Squid Game?https://vamshij.com/blog/riddler/squid-game/Fri, 29 Oct 2021 00:00:00 +0000https://vamshij.com/blog/riddler/squid-game/A FiveThirtyEight Riddler puzzle.Who Betrayed Dune’s Duke Leto?https://vamshij.com/blog/riddler/duke-leto/Fri, 22 Oct 2021 00:00:00 +0000https://vamshij.com/blog/riddler/duke-leto/A FiveThirtyEight Riddler puzzle.Flowfreehttps://vamshij.com/blog/linear-optimization/flowfree/Sun, 10 Oct 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/flowfree/Solution using constratint programming.Riddle of the pilgrimshttps://vamshij.com/blog/linear-optimization/riddle-of-the-pilgrims/Sat, 09 Oct 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/riddle-of-the-pilgrims/Solution using integer programming.Graphs and Integer Programminghttps://vamshij.com/blog/linear-optimization/graphs-and-integer-programming-/Sat, 02 Oct 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/graphs-and-integer-programming-/Optimization using linear models.Can You Climb Your Way To Victory?https://vamshij.com/blog/riddler/climbing/Fri, 24 Sep 2021 00:00:00 +0000https://vamshij.com/blog/riddler/climbing/A FiveThirtyEight Riddler puzzle.Modeling using Integer Programminghttps://vamshij.com/blog/linear-optimization/integer-programming/Tue, 21 Sep 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/integer-programming/Optimization using linear models.Modeling using Linear Programminghttps://vamshij.com/blog/linear-optimization/linear-programming/Mon, 20 Sep 2021 00:00:00 +0000https://vamshij.com/blog/linear-optimization/linear-programming/Optimization using linear models.Can You Bake The Radish Pie?https://vamshij.com/blog/riddler/radish-pie/Fri, 17 Sep 2021 00:00:00 +0000https://vamshij.com/blog/riddler/radish-pie/A FiveThirtyEight Riddler puzzle.Can You Get The Paper Cut?https://vamshij.com/blog/riddler/paper-cut/Fri, 10 Sep 2021 00:00:00 +0000https://vamshij.com/blog/riddler/paper-cut/A FiveThirtyEight Riddler puzzle.Singular Value Decompositionhttps://vamshij.com/blog/machine-learning-linear-algebra/svd/Thu, 02 Sep 2021 00:00:00 +0000https://vamshij.com/blog/machine-learning-linear-algebra/svd/Illustrating the power and utility of SVD with a few applications.Highlights of Linear Algebrahttps://vamshij.com/blog/machine-learning-linear-algebra/hola/Wed, 01 Sep 2021 00:00:00 +0000https://vamshij.com/blog/machine-learning-linear-algebra/hola/Matrix multiplication, eigen values, singular values, factorization and optimization.Can You Draft A Riddler Fantasy Football Dream Team?https://vamshij.com/blog/riddler/football-pursuit/Fri, 27 Aug 2021 00:00:00 +0000https://vamshij.com/blog/riddler/football-pursuit/A FiveThirtyEight Riddler puzzle.On camels and strawshttps://vamshij.com/blog/2021-08-27-camel-and-straws/Fri, 27 Aug 2021 00:00:00 +0000https://vamshij.com/blog/2021-08-27-camel-and-straws/A famous puzzle about probability and expectation involving sum of uniform random variables.Can you catch the cricket?https://vamshij.com/blog/riddler/hopping-cricket/Fri, 20 Aug 2021 00:00:00 +0000https://vamshij.com/blog/riddler/hopping-cricket/A FiveThirtyEight Riddler puzzle.Are You Clever Enough?https://vamshij.com/blog/riddler/clever-enough/Fri, 13 Aug 2021 00:00:00 +0000https://vamshij.com/blog/riddler/clever-enough/A FiveThirtyEight Riddler puzzle.Evolutionary Computationhttps://vamshij.com/blog/metaheuristics/evolutionary-algorithms/Tue, 10 Aug 2021 00:00:00 +0000https://vamshij.com/blog/metaheuristics/evolutionary-algorithms/The power of the technique illustrated with a couple of examples.Simulated Annealinghttps://vamshij.com/blog/metaheuristics/simulated-annealing/Thu, 05 Aug 2021 00:00:00 +0000https://vamshij.com/blog/metaheuristics/simulated-annealing/The power of the technique illustrated with a couple of examples.Will Riddler Nation Win Gold In Archery?https://vamshij.com/blog/riddler/gold-in-archery/Fri, 30 Jul 2021 00:00:00 +0000https://vamshij.com/blog/riddler/gold-in-archery/A FiveThirtyEight Riddler puzzle.Can You Hop Across The Chess Board?https://vamshij.com/blog/riddler/chess-board/Fri, 23 Jul 2021 00:00:00 +0000https://vamshij.com/blog/riddler/chess-board/A FiveThirtyEight Riddler puzzle.Can You Win The Penalty Shootout?https://vamshij.com/blog/riddler/penalty-shootout/Fri, 16 Jul 2021 00:00:00 +0000https://vamshij.com/blog/riddler/penalty-shootout/A FiveThirtyEight Riddler puzzle.Can You Solve This Astronomical Enigma?https://vamshij.com/blog/riddler/astronomical-enigma/Fri, 09 Jul 2021 00:00:00 +0000https://vamshij.com/blog/riddler/astronomical-enigma/A FiveThirtyEight Riddler puzzle.Problem 1325 - A surprising polygon formulahttps://vamshij.com/blog/2021-07-09-surprising-polygon-formula/Fri, 09 Jul 2021 00:00:00 +0000https://vamshij.com/blog/2021-07-09-surprising-polygon-formula/Problem of the Week from Stan Wagon.Send me a notehttps://vamshij.com/contact/Tue, 29 Jun 2021 13:38:41 -0600https://vamshij.com/contact/** Contact page don’t contain a body, just the front matter above. See form.html in the layouts folder.
Formspree requires a (free) account and new form to be set up. The link is made on the final published url in the field: Restrict to Domain. It is possible to register up to 2 emails free and you can select which one you want the forms to go to within Formspree in the Settings tab.How I created this site?https://vamshij.com/blog/2020-06-29-how-i-created-this-site/Tue, 29 Jun 2021 00:00:00 +0000https://vamshij.com/blog/2020-06-29-how-i-created-this-site/My requirements for the site and the tools I used to create it.Jun 17, 2021 - 1:34https://vamshij.com/blog/integrals/infseriesbot-17062021_0134/Thu, 17 Jun 2021 00:00:00 +0000https://vamshij.com/blog/integrals/infseriesbot-17062021_0134/An interesting integral.Jun 17, 2021 - 2:34https://vamshij.com/blog/infseries/infseriesbot-17062021_0234/Thu, 17 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-17062021_0234/An infinite series problem.Jun 14, 2021 - 3:34https://vamshij.com/blog/infseries/infseriesbot-14062021_0334/Mon, 14 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-14062021_0334/An infinite series problem.Jun 13, 2021 - 18:34https://vamshij.com/blog/infseries/infseriesbot-13062021_1834/Sun, 13 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-13062021_1834/An infinite series problem.Jun 12, 2021 - 22:34https://vamshij.com/blog/infseries/infseriesbot-12062021_2234/Sat, 12 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-12062021_2234/An infinite series problem.Jun 12, 2021 - 3:34https://vamshij.com/blog/integrals/infseriesbot-12062021_0334/Sat, 12 Jun 2021 00:00:00 +0000https://vamshij.com/blog/integrals/infseriesbot-12062021_0334/An interesting integral.Jun 7, 2021 - 03:34https://vamshij.com/blog/infseries/infseriesbot-07062021_0334/Sat, 12 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-07062021_0334/An infinite series problem.Jun 8, 2021 - 07:04https://vamshij.com/blog/infseries/infseriesbot-08062021_0704/Sat, 12 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-08062021_0704/An infinite series problem.Jun 10, 2021 - 7:34https://vamshij.com/blog/infseries/infseriesbot-10062021_0734/Thu, 10 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-10062021_0734/An infinite series problem.Jun 8, 2021 - 14:34https://vamshij.com/blog/infseries/infseriesbot-08062021_1234/Tue, 08 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-08062021_1234/An infinite series problem.Jun 8, 2021 - 22:04https://vamshij.com/blog/infseries/infseriesbot-08062021_2204/Tue, 08 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-08062021_2204/An infinite series problem.Jun 6, 2021 - 15:34https://vamshij.com/blog/integrals/infseriesbot-07062021_1534/Mon, 07 Jun 2021 00:00:00 +0000https://vamshij.com/blog/integrals/infseriesbot-07062021_1534/An interesting integral.Jun 6, 2021 - 13:34https://vamshij.com/blog/infseries/infseriesbot-06062021_1334/Sun, 06 Jun 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-06062021_1334/An infinite series problem.Can You Decipher The Secret Message?https://vamshij.com/blog/riddler/secret-message/Fri, 04 Jun 2021 00:00:00 +0000https://vamshij.com/blog/riddler/secret-message/A FiveThirtyEight Riddler puzzle.May 30, 2021 - 15:04https://vamshij.com/blog/infseries/infseriesbot-30052021_1504/Sun, 30 May 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-30052021_1504/An infinite series problem.Can You Crack The Case Of The Crystal Key?https://vamshij.com/blog/riddler/crystal-key/Fri, 28 May 2021 00:00:00 +0000https://vamshij.com/blog/riddler/crystal-key/A FiveThirtyEight Riddler puzzle.May 28, 2021 - 03:04https://vamshij.com/blog/infseries/infseriesbot-28052021_0304/Fri, 28 May 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-28052021_0304/An infinite series problem.May 28, 2021 - 11:34https://vamshij.com/blog/infseries/infseriesbot-28052021_1134/Fri, 28 May 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-28052021_1134/An infinite series problem.May 25, 2021 - 20:34https://vamshij.com/blog/infseries/infseriesbot-25052021_2034/Tue, 25 May 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-25052021_2034/An infinite series problem.May 24, 2021 - 7:35https://vamshij.com/blog/integrals/infseriesbot-24052021_0735/Mon, 24 May 2021 00:00:00 +0000https://vamshij.com/blog/integrals/infseriesbot-24052021_0735/An interesting integral.No Isosceles Triangles For You!https://vamshij.com/blog/riddler/anti-isoceles/Fri, 21 May 2021 00:00:00 +0000https://vamshij.com/blog/riddler/anti-isoceles/A FiveThirtyEight Riddler puzzle.May 5, 2021 - 15:04https://vamshij.com/blog/infseries/infseriesbot-05052021_1504/Wed, 05 May 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-05052021_1504/An infinite series problem.May 2, 2021 - 21:06https://vamshij.com/blog/infseries/infseriesbot-02062021_2106/Sun, 02 May 2021 00:00:00 +0000https://vamshij.com/blog/infseries/infseriesbot-02062021_2106/An infinite series problem.Can You Systematically Solve A Friday Crossword?https://vamshij.com/blog/riddler/cornhole/Fri, 30 Apr 2021 00:00:00 +0000https://vamshij.com/blog/riddler/cornhole/A FiveThirtyEight Riddler puzzle.Can You Cut The Perfect Pancake?https://vamshij.com/blog/riddler/perfect-pancake/Fri, 23 Apr 2021 00:00:00 +0000https://vamshij.com/blog/riddler/perfect-pancake/A FiveThirtyEight Riddler puzzle.Mathematical Quickieshttps://vamshij.com/blog/2021-04-21-mathematical-quickies/Wed, 21 Apr 2021 00:00:00 +0000https://vamshij.com/blog/2021-04-21-mathematical-quickies/Problems with quick and elegant solutions.Can You Crack The Case Of The Crescent Moon?https://vamshij.com/blog/riddler/crescent-moon/Fri, 16 Apr 2021 00:00:00 +0000https://vamshij.com/blog/riddler/crescent-moon/A FiveThirtyEight Riddler puzzle.Happy Birthday Sharada!https://vamshij.com/blog/2021-04-14-sharada-birthday/Wed, 14 Apr 2021 00:00:00 +0000https://vamshij.com/blog/2021-04-14-sharada-birthday/A geeky gift for my beautiful wife on her birthday.Can You Navigate The One-Way Streets?https://vamshij.com/blog/riddler/one-way-streets/Fri, 09 Apr 2021 00:00:00 +0000https://vamshij.com/blog/riddler/one-way-streets/A FiveThirtyEight Riddler puzzle.Who owns the fish?https://vamshij.com/blog/z3/fish/Fri, 09 Apr 2021 00:00:00 +0000https://vamshij.com/blog/z3/fish/Using the fantastic Z3 for fun.Introduction to Fixed-Income Valuationhttps://vamshij.com/blog/julia/bond-pricing-basics/Thu, 01 Apr 2021 00:00:00 +0000https://vamshij.com/blog/julia/bond-pricing-basics/Using Julia to learn the basics of bond pricing.Can You Find An Extra Perfect Square?https://vamshij.com/blog/riddler/extra-perfect-square/Fri, 19 Mar 2021 00:00:00 +0000https://vamshij.com/blog/riddler/extra-perfect-square/A FiveThirtyEight Riddler puzzle.Unusual Crosswordhttps://vamshij.com/blog/2020-03-14-pi-crossword/Sun, 14 Mar 2021 00:00:00 +0000https://vamshij.com/blog/2020-03-14-pi-crossword/An unusual crossword based on the first 30 digits of pi.Can You Bake The Biggest π?https://vamshij.com/blog/riddler/bake-a-pie/Sat, 13 Mar 2021 00:00:00 +0000https://vamshij.com/blog/riddler/bake-a-pie/A FiveThirtyEight Riddler puzzle.Can You Bat .299 In 299 Games?https://vamshij.com/blog/riddler/matching-batting-average/Sat, 06 Mar 2021 00:00:00 +0000https://vamshij.com/blog/riddler/matching-batting-average/A FiveThirtyEight Riddler puzzle.Snowflake Datalakehttps://vamshij.com/blog/snowflake/snowflake-datalake/Sat, 06 Mar 2021 00:00:00 +0000https://vamshij.com/blog/snowflake/snowflake-datalake/How Snowflake’s elegant architecture makes it a good fit for implementing datalakes.25 Tech Trends in Practicehttps://vamshij.com/blog/2020-03-01-technology-trends/Mon, 01 Mar 2021 00:00:00 +0000https://vamshij.com/blog/2020-03-01-technology-trends/Most of the trends described in this
<a href="https://www.amazon.co.uk/Technology-Trends-Practice-Businessby-Success/dp/1119646197" target="_blank" rel="noopener">book</a> are about <strong>data</strong>.How Many Ways Can You Build A Staircase?https://vamshij.com/blog/riddler/staircase/Sat, 27 Feb 2021 00:00:00 +0000https://vamshij.com/blog/riddler/staircase/A FiveThirtyEight Riddler puzzle.Can You Win Riddler Jenga?https://vamshij.com/blog/riddler/riddler-jenga/Fri, 19 Feb 2021 00:00:00 +0000https://vamshij.com/blog/riddler/riddler-jenga/A FiveThirtyEight Riddler puzzle.Can You Cross Like A Boss?https://vamshij.com/blog/riddler/cross-boss/Sat, 13 Feb 2021 00:00:00 +0000https://vamshij.com/blog/riddler/cross-boss/A FiveThirtyEight Riddler puzzle.Can You Randomly Move The Tower?https://vamshij.com/blog/riddler/random-lucas-tower/Sat, 06 Feb 2021 00:00:00 +0000https://vamshij.com/blog/riddler/random-lucas-tower/A FiveThirtyEight Riddler puzzle.Problems in Dynamic Programming - 1https://vamshij.com/blog/dynamic-programming/dynamic-programming-problems/Mon, 01 Feb 2021 00:00:00 +0000https://vamshij.com/blog/dynamic-programming/dynamic-programming-problems/Problems from the book - Dynamic Programming and Optimal Control.Little Cubeshttps://vamshij.com/blog/riddler/little-cubes/Sat, 30 Jan 2021 00:00:00 +0000https://vamshij.com/blog/riddler/little-cubes/A FiveThirtyEight Riddler puzzle.Can You Skillfully Ski The Slopes?https://vamshij.com/blog/riddler/skilful-ski/Sat, 23 Jan 2021 00:00:00 +0000https://vamshij.com/blog/riddler/skilful-ski/A FiveThirtyEight Riddler puzzle.Can You Hunt For The Mysterious Numbers?https://vamshij.com/blog/riddler/mysterious-numbers/Sat, 16 Jan 2021 00:00:00 +0000https://vamshij.com/blog/riddler/mysterious-numbers/A FiveThirtyEight Riddler puzzle.An Archery problemhttps://vamshij.com/blog/riddler/archery/Sat, 09 Jan 2021 00:00:00 +0000https://vamshij.com/blog/riddler/archery/A FiveThirtyEight Riddler puzzle.Queryversehttps://vamshij.com/blog/julia/julia-queryverse/Thu, 31 Dec 2020 18:30:00 -0600https://vamshij.com/blog/julia/julia-queryverse/A few examples illustrating the power of Queryverse package in Julia.Reading Listhttps://vamshij.com/books/Thu, 31 Dec 2020 18:30:00 -0600https://vamshij.com/books/Fiction Remains of the day, Kazuo Ishiguro Non-fiction Think Again: The Power of Knowing What You Don’t Know, Adam Grant
Psychology of Money: Timeless Lessons on Wealth, Greed, and Happiness, Morgan Housel
Nobel Wisdom, David Pratt
The Alchemy of Us: How Humans and Matter Transformed One Another, Ainissa RamirezHamiltonian Cyclehttps://vamshij.com/blog/graph-theory/hamiltonian-cycle-matchstick-graph/Thu, 31 Dec 2020 00:00:00 +0000https://vamshij.com/blog/graph-theory/hamiltonian-cycle-matchstick-graph/In a 54 vertex quartic graph.Walk on a cube.https://vamshij.com/blog/graph-theory/walk-on-a-cube/Wed, 30 Dec 2020 00:00:00 +0000https://vamshij.com/blog/graph-theory/walk-on-a-cube/Non intersecting walk on a cube.Net Promoter Scorehttps://vamshij.com/blog/2020-12-25-net-promoter-score/Fri, 25 Dec 2020 00:00:00 +0000https://vamshij.com/blog/2020-12-25-net-promoter-score/Background, calculation methodology, assumptions, advantages and disadvantages.Expected distance of a random point from the centre of a regular polygon with circumradius onehttps://vamshij.com/blog/2020-12-18-geometric-expectation/Fri, 18 Dec 2020 00:00:00 +0000https://vamshij.com/blog/2020-12-18-geometric-expectation/Calculating expectation analytically and computationally.Approximate Countinghttps://vamshij.com/blog/probabilistic-method/approximate-counting/Tue, 01 Dec 2020 00:00:00 +0000https://vamshij.com/blog/probabilistic-method/approximate-counting/Probabilistic techniques for countingHypothesis testing for single sample proportionhttps://vamshij.com/blog/statistical-inference/single-sample-proportion-test/Mon, 30 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/single-sample-proportion-test/Powerful ideas in Statistical Inference.Chi square testshttps://vamshij.com/blog/statistical-inference/chi-square-test-of-homogeneity/Thu, 26 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/chi-square-test-of-homogeneity/Powerful ideas in Statistical Inference.Duelling Idiots and Other Probability Puzzlershttps://vamshij.com/blog/probability-puzzlers/probability-puzzlers/Thu, 26 Nov 2020 00:00:00 +0000https://vamshij.com/blog/probability-puzzlers/probability-puzzlers/My solutions in Python to the puzzlers from the book.Expectation Maximization Algorithmhttps://vamshij.com/blog/statistical-inference/expectation-maximization-algorithm/Mon, 23 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/expectation-maximization-algorithm/Powerful ideas in Statistical Inference.Likelihood Ratio Testhttps://vamshij.com/blog/statistical-inference/likelihood-ratio-test/Sun, 22 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/likelihood-ratio-test/Powerful ideas in Statistical Inference.Unbiased Estimatorshttps://vamshij.com/blog/statistical-inference/unbiased-estimators/Fri, 20 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/unbiased-estimators/Powerful ideas in Statistical Inference.Knights on a chess boardhttps://vamshij.com/blog/2020-11-19-knights-on-a-chessboard/Thu, 19 Nov 2020 00:00:00 +0000https://vamshij.com/blog/2020-11-19-knights-on-a-chessboard/The power and beauty of Markov Chains.Twenty Three Age Problemshttps://vamshij.com/blog/2020-11-17-age-problems/Tue, 17 Nov 2020 00:00:00 +0000https://vamshij.com/blog/2020-11-17-age-problems/Not age problems but number theory problems related to ageMinimum Variance Unbiased Estimator (MVUE)https://vamshij.com/blog/statistical-inference/minimum-variance-unbiased-estimator/Thu, 12 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/minimum-variance-unbiased-estimator/Powerful ideas in Statistical Inference.Sufficient Statisticshttps://vamshij.com/blog/statistical-inference/sufficient-statistics/Wed, 11 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/sufficient-statistics/Powerful ideas in Statistical Inference.Collection of problems in stochastic processeshttps://vamshij.com/blog/stochastic-processes/problems-stochastic-processes/Fri, 06 Nov 2020 00:00:00 +0000https://vamshij.com/blog/stochastic-processes/problems-stochastic-processes/Concepts, problems and solutions.Method of Momentshttps://vamshij.com/blog/statistical-inference/method-of-moments/Fri, 06 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/method-of-moments/Powerful ideas in Statistical Inference.Maximum Likelihood Estimator (MLE)https://vamshij.com/blog/statistical-inference/maximum-likelihood/Thu, 05 Nov 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/maximum-likelihood/Powerful ideas in Statistical Inference.Consistent Estimatorshttps://vamshij.com/blog/statistical-inference/consistent-estimators/Thu, 29 Oct 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/consistent-estimators/Powerful ideas in Statistical Inference.Functions of Random Variableshttps://vamshij.com/blog/statistical-inference/functions-of-random-variables/Wed, 28 Oct 2020 00:00:00 +0000https://vamshij.com/blog/statistical-inference/functions-of-random-variables/Powerful ideas in Statistical Inference.Investment Management with Python - 3https://vamshij.com/blog/investment-management/investment-management-with-python-3/Mon, 26 Oct 2020 00:00:00 +0000https://vamshij.com/blog/investment-management/investment-management-with-python-3/Portfolio Optimization and Efficient FrontierInvestment Management with Python - 2https://vamshij.com/blog/investment-management/investment-management-with-python-2/Sun, 25 Oct 2020 00:00:00 +0000https://vamshij.com/blog/investment-management/investment-management-with-python-2/Beyond the Gaussian case:Extreme risk estimatesInvestment Management with Python - 1https://vamshij.com/blog/investment-management/investment-management-with-python-1/Sat, 24 Oct 2020 00:00:00 +0000https://vamshij.com/blog/investment-management/investment-management-with-python-1/Fundamentals of Return and RiskCan You Reach The Summit First?https://vamshij.com/blog/riddler/summit-first/Wed, 16 Sep 2020 00:00:00 +0000https://vamshij.com/blog/riddler/summit-first/A FiveThirtyEight Riddler puzzle.Ikigaihttps://vamshij.com/blog/2020-09-14-ikigai/Mon, 14 Sep 2020 00:00:00 +0000https://vamshij.com/blog/2020-09-14-ikigai/Key takeaways from the
<a href="https://read.amazon.co.uk/kp/embed?asin=B073D36KNM&preview=newtab&linkCode=kpe&ref_=cm_sw_r_kb_dp_X1B9DRQ89SXP4JD3QZWE" target="_blank" rel="noopener">book</a>Prediction Machines-The Simple Economics of Artificial Intelligencehttps://vamshij.com/blog/2020-09-10-prediction-machines/Thu, 10 Sep 2020 00:00:00 +0000https://vamshij.com/blog/2020-09-10-prediction-machines/My notes(excerpts) from the excellent
<a href="https://read.amazon.co.uk/kp/embed?asin=B075GXJPFS&preview=newtab&linkCode=kpe&ref_=cm_sw_r_kb_dp_ghKZFbD74H7H3" target="_blank" rel="noopener">book</a>How to conduct embarassing polls while preserving privacy?https://vamshij.com/blog/ethical-algorithm/conducting-embarassing-polls/Tue, 01 Sep 2020 00:00:00 +0000https://vamshij.com/blog/ethical-algorithm/conducting-embarassing-polls/Randomized polling protocol.Breaking a slide rule into four pieceshttps://vamshij.com/blog/riddler/breaking-a-slide-rule/Fri, 14 Aug 2020 00:00:00 +0000https://vamshij.com/blog/riddler/breaking-a-slide-rule/A FiveThirtyEight Riddler puzzle.Basics of network science with Networkx - 2https://vamshij.com/blog/network-science/basics-network-science-2/Sat, 25 Jul 2020 00:00:00 +0000https://vamshij.com/blog/network-science/basics-network-science-2/Second instalment in the exploratory data analysis of graphsBasics of network science with Networkx - 1https://vamshij.com/blog/network-science/basics-network-science-1/Thu, 23 Jul 2020 00:00:00 +0000https://vamshij.com/blog/network-science/basics-network-science-1/First instalment in the exploratory data analysis of graphsBandit Algorithms For Website Optimizationhttps://vamshij.com/blog/reinforcement-learning/bandit-algorithms/Tue, 21 Jul 2020 00:00:00 +0000https://vamshij.com/blog/reinforcement-learning/bandit-algorithms/This is my summary of the book - Bandit Algorithms for Website Optimization by John Myles White.Generalized problem of counterfeit coinshttps://vamshij.com/blog/2020-07-06-counterfeit-coins/Mon, 06 Jul 2020 00:00:00 +0000https://vamshij.com/blog/2020-07-06-counterfeit-coins/A famous puzzle about identifying counterfeit coins using the least number of weighings.Counting triangles in a graphhttps://vamshij.com/blog/2020-07-05-triangles-in-graph/Sun, 05 Jul 2020 00:00:00 +0000https://vamshij.com/blog/2020-07-05-triangles-in-graph/Various techniques for counting and listing triangles in a graph.Centered Pentagonal Numberhttps://vamshij.com/blog/riddler/flag/Fri, 03 Jul 2020 00:00:00 +0000https://vamshij.com/blog/riddler/flag/A FiveThirtyEight Riddler puzzle.Can you flip the magic coin?https://vamshij.com/blog/riddler/magic-coin/Fri, 19 Jun 2020 00:00:00 +0000https://vamshij.com/blog/riddler/magic-coin/A FiveThirtyEight Riddler puzzle.Inversion - A beautiful idea from Geometryhttps://vamshij.com/blog/2020-06-08-inversion/Mon, 08 Jun 2020 00:00:00 +0000https://vamshij.com/blog/2020-06-08-inversion/A few problems illustrating the power of inversion.Pooled Testinghttps://vamshij.com/blog/2020-06-08-pooled-testing/Mon, 08 Jun 2020 00:00:00 +0000https://vamshij.com/blog/2020-06-08-pooled-testing/Replication of the results in the
<a href="https://arxiv.org/abs/2003.09944" target="_blank" rel="noopener">paper</a> for my own understanding.Solving Squares Sudoku using Z3https://vamshij.com/blog/z3/squares-sudoku/Sat, 23 May 2020 00:00:00 +0000https://vamshij.com/blog/z3/squares-sudoku/Using the fantastic Z3 for fun.Problems for children from 5 to 15 by V.I. Arnoldhttps://vamshij.com/blog/2020-05-14-arnold-problems/Thu, 14 May 2020 00:00:00 +0000https://vamshij.com/blog/2020-05-14-arnold-problems/My solutions to a select number of problems.Solving 3-In-A-Row using Z3https://vamshij.com/blog/z3/3-in-a-row/Thu, 07 May 2020 00:00:00 +0000https://vamshij.com/blog/z3/3-in-a-row/Using the fantastic Z3 for fun.Classical Plane Geometryhttps://vamshij.com/blog/problem-solving-loren-larson/ll-geomtery/Tue, 05 May 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-geomtery/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Inequalitieshttps://vamshij.com/blog/problem-solving-loren-larson/ll-inequalities/Mon, 04 May 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-inequalities/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Real Analysishttps://vamshij.com/blog/problem-solving-loren-larson/ll-real-analysis/Sat, 02 May 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-real-analysis/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Summationhttps://vamshij.com/blog/problem-solving-loren-larson/ll-summation/Fri, 01 May 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-summation/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Algebrahttps://vamshij.com/blog/problem-solving-loren-larson/ll-algebra/Wed, 22 Apr 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-algebra/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Arithmetichttps://vamshij.com/blog/problem-solving-loren-larson/ll-arithmetic/Wed, 22 Apr 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-arithmetic/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Heuristicshttps://vamshij.com/blog/problem-solving-loren-larson/ll-heuristics/Mon, 20 Apr 2020 00:00:00 +0000https://vamshij.com/blog/problem-solving-loren-larson/ll-heuristics/My solutions to the problems in the excellent book on Problem Solving by Loren Larson.Putnam problems by Richard Stanleyhttps://vamshij.com/blog/2020-04-13-stanley-putnam-problems/Mon, 13 Apr 2020 00:00:00 +0000https://vamshij.com/blog/2020-04-13-stanley-putnam-problems/With my original solutions :)Can You Tell When The Snow Started?https://vamshij.com/blog/riddler/snowplow/Fri, 03 Apr 2020 00:00:00 +0000https://vamshij.com/blog/riddler/snowplow/A FiveThirtyEight Riddler puzzle.A curious identity involving $e$ and $\pi$https://vamshij.com/blog/infseries/curious-identity/Thu, 02 Apr 2020 00:00:00 +0000https://vamshij.com/blog/infseries/curious-identity/An infinite series problem.Same number on all the dieshttps://vamshij.com/blog/riddler/dies/Fri, 27 Mar 2020 00:00:00 +0000https://vamshij.com/blog/riddler/dies/A FiveThirtyEight Riddler puzzle.Using Probabilistic Method in Combinatoricshttps://vamshij.com/blog/probabilistic-method/probabilistic-method-combinatorics/Mon, 16 Mar 2020 00:00:00 +0000https://vamshij.com/blog/probabilistic-method/probabilistic-method-combinatorics/A powerful tool especially for attacking existence problemsUsing Probabilistic Method in Algebrahttps://vamshij.com/blog/probabilistic-method/probabilistic-method-algebra/Sun, 15 Mar 2020 00:00:00 +0000https://vamshij.com/blog/probabilistic-method/probabilistic-method-algebra/A powerful tool especially for attacking existence problemsProbabilistic Methodhttps://vamshij.com/blog/probabilistic-method/probabilistic-method/Sat, 14 Mar 2020 00:00:00 +0000https://vamshij.com/blog/probabilistic-method/probabilistic-method/A powerful tool especially for attacking existence problemsRandom Tic Tac Toehttps://vamshij.com/blog/riddler/rand_tic_tac_toe/Fri, 06 Mar 2020 00:00:00 +0000https://vamshij.com/blog/riddler/rand_tic_tac_toe/A FiveThirtyEight Riddler puzzle.Should The Grizzly Bear Eat The Salmon?https://vamshij.com/blog/riddler/bears/Thu, 05 Mar 2020 00:00:00 +0000https://vamshij.com/blog/riddler/bears/A FiveThirtyEight Riddler puzzle.Solving Kakuro using Z3https://vamshij.com/blog/z3/kakuro/Mon, 02 Mar 2020 00:00:00 +0000https://vamshij.com/blog/z3/kakuro/Using the fantastic Z3 for fun.Solving Calcudoku using Z3https://vamshij.com/blog/z3/calcudoku/Sun, 01 Mar 2020 00:00:00 +0000https://vamshij.com/blog/z3/calcudoku/Using the fantastic Z3 for fun.Can You Get A Haircut Already?https://vamshij.com/blog/riddler/barbers/Fri, 28 Feb 2020 00:00:00 +0000https://vamshij.com/blog/riddler/barbers/A FiveThirtyEight Riddler puzzle.Connected paths in a $2 \times n$ gridhttps://vamshij.com/blog/2020-02-28-connected-paths/Fri, 28 Feb 2020 00:00:00 +0000https://vamshij.com/blog/2020-02-28-connected-paths/A sweet problem involving recurrence relation.Islamic Geometric Patternshttps://vamshij.com/blog/2020-01-28-islamic-geometric-patterns/Tue, 28 Jan 2020 00:00:00 +0000https://vamshij.com/blog/2020-01-28-islamic-geometric-patterns/My implementation of some of the ideas from the book <em>Islamic Geometric Patterns</em> in PythonDelirious Duckshttps://vamshij.com/blog/riddler/delirious-ducks/Fri, 17 Jan 2020 00:00:00 +0000https://vamshij.com/blog/riddler/delirious-ducks/A FiveThirtyEight Riddler puzzle.Can You Find A Number Worth Its Weight In Letters?"https://vamshij.com/blog/riddler/gematria/Fri, 10 Jan 2020 00:00:00 +0000https://vamshij.com/blog/riddler/gematria/A FiveThirtyEight Riddler puzzle.Can You Solve The Vexing Vexillology?https://vamshij.com/blog/riddler/vexing-vexillology/Fri, 03 Jan 2020 00:00:00 +0000https://vamshij.com/blog/riddler/vexing-vexillology/A FiveThirtyEight Riddler puzzle.Can You Find A Matching Pair Of Socks?https://vamshij.com/blog/riddler/socks/Fri, 20 Dec 2019 00:00:00 +0000https://vamshij.com/blog/riddler/socks/A FiveThirtyEight Riddler puzzle.Reliable, Scalable and Maintainable Applicationshttps://vamshij.com/blog/ddia/designing-data-intensive-apps-chapter-1/Sun, 15 Dec 2019 00:00:00 +0000https://vamshij.com/blog/ddia/designing-data-intensive-apps-chapter-1/My notes from the famous DDIA book by Martin Kleppmann.SQL Practice Problems - Advancedhttps://vamshij.com/blog/sql/sql-practice-problems-advanced/Mon, 09 Dec 2019 00:00:00 +0000https://vamshij.com/blog/sql/sql-practice-problems-advanced/Solutions to advanced problems from the book - SQL Practice ProblemsSQL Practice Problems - Basichttps://vamshij.com/blog/sql/sql-practice-problems-basic/Sun, 08 Dec 2019 00:00:00 +0000https://vamshij.com/blog/sql/sql-practice-problems-basic/Solutions to basic problems from the book - SQL Practice Problems.SQL Practice Problems - Intermediatehttps://vamshij.com/blog/sql/sql-practice-problems-intermediate/Sun, 08 Dec 2019 00:00:00 +0000https://vamshij.com/blog/sql/sql-practice-problems-intermediate/Solutions to intermediate problems in the book - SQL Practice Problems.Collection of interesting problems in probabilityhttps://vamshij.com/blog/2019-12-06-probability-and-computation/Fri, 06 Dec 2019 00:00:00 +0000https://vamshij.com/blog/2019-12-06-probability-and-computation/With computational solutions in PythonSolving a Cryptarithmetic puzzle using Z3https://vamshij.com/blog/z3/prime-cryptarithmetic-puzzle/Tue, 03 Dec 2019 00:00:00 +0000https://vamshij.com/blog/z3/prime-cryptarithmetic-puzzle/Using the fantastic Z3 for fun.How Low Can You Roll?https://vamshij.com/blog/riddler/low-roll/Fri, 15 Nov 2019 00:00:00 +0000https://vamshij.com/blog/riddler/low-roll/A FiveThirtyEight Riddler puzzle.How Many Ways Can You Raid The Candy Shop?https://vamshij.com/blog/riddler/candy/Fri, 08 Nov 2019 00:00:00 +0000https://vamshij.com/blog/riddler/candy/A FiveThirtyEight Riddler puzzle.Solving Kakurasu using Z3https://vamshij.com/blog/z3/kakurasu/Tue, 29 Oct 2019 00:00:00 +0000https://vamshij.com/blog/z3/kakurasu/Using the fantastic Z3 for fun.Solving Skyscrapers using Z3https://vamshij.com/blog/z3/skyscrapers/Mon, 28 Oct 2019 00:00:00 +0000https://vamshij.com/blog/z3/skyscrapers/Using the fantastic Z3 for fun.Solving Numbrix using Z3https://vamshij.com/blog/z3/numbrix/Fri, 25 Oct 2019 00:00:00 +0000https://vamshij.com/blog/z3/numbrix/Using the fantastic Z3 for fun.Loading IMDB data into SQLite in 200 lines of Pythonhttps://vamshij.com/blog/2019-10-06-imdb-sqlite/Sun, 06 Oct 2019 00:00:00 +0000https://vamshij.com/blog/2019-10-06-imdb-sqlite/You will be surprised how incredibly useful and powerful SQLite is.Who Wants To Be A Riddler Millionaire?https://vamshij.com/blog/riddler/millionaire/Fri, 04 Oct 2019 00:00:00 +0000https://vamshij.com/blog/riddler/millionaire/A FiveThirtyEight Riddler puzzle.British Maths Olympiad 2005 Round 2 Problem 3https://vamshij.com/blog/olympiad/bmo-2005-round-2-problem-3/Mon, 30 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2005-round-2-problem-3/My solution to an Olympiad problem.British Maths Olympiad 2002 Round 1 Problem 1https://vamshij.com/blog/olympiad/bmo-2002-round-1-problem-1/Sun, 29 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2002-round-1-problem-1/My solution to an Olympiad problem.British Maths Olympiad 2000 Round 2 Problem 2https://vamshij.com/blog/olympiad/bmo-2000-round-2-problem-2/Sat, 28 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2000-round-2-problem-2/My solution to an Olympiad problem.British Maths Olympiad 2001 Round 1 Problem 5https://vamshij.com/blog/olympiad/bmo-2001-round-1-problem-5/Sat, 28 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2001-round-1-problem-5/My solution to an Olympiad problem.British Maths Olympiad 1999 Round 2 Problem 3https://vamshij.com/blog/olympiad/bmo-1999-round-2-problem-3/Fri, 27 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1999-round-2-problem-3/My solution to an Olympiad problem.British Maths Olympiad 2000 Round 1 Problem 2https://vamshij.com/blog/olympiad/bmo-2000-round-1-problem-2/Fri, 27 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2000-round-1-problem-2/My solution to an Olympiad problem.British Maths Olympiad 1997 Round 2 Problem 3https://vamshij.com/blog/olympiad/bmo-1997-round-2-problem-3/Thu, 26 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1997-round-2-problem-3/My solution to an Olympiad problem.British Maths Olympiad 1997 Round 1 Problem 2https://vamshij.com/blog/olympiad/bmo-1997-round-1-problem-2/Wed, 25 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1997-round-1-problem-2/My solution to an Olympiad problem.British Maths Olympiad 1996 Round 1 Problem 5https://vamshij.com/blog/olympiad/bmo-1996-round-1-problem-5/Tue, 24 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1996-round-1-problem-5/My solution to an Olympiad problem.British Maths Olympiad 1996 Round 1 Problem 2https://vamshij.com/blog/olympiad/bmo-1996-round-1-problem-2/Mon, 23 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1996-round-1-problem-2/My solution to an Olympiad problem.British Maths Olympiad 1995 Round 2 Problem 4https://vamshij.com/blog/olympiad/bmo-1995-round-2-problem-4/Sun, 22 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1995-round-2-problem-4/My solution to an Olympiad problem.British Maths Olympiad 1994 Round 2 Problem 1https://vamshij.com/blog/olympiad/bmo-1994-round-2-problem-1/Sat, 21 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1994-round-2-problem-1/My solution to an Olympiad problem.British Maths Olympiad 1993 Round 2 Problem 3https://vamshij.com/blog/olympiad/bmo-1993-round-2-problem-3/Fri, 20 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-1993-round-2-problem-3/My solution to an Olympiad problem.Problems from the Canadian Maths Olympiadhttps://vamshij.com/blog/olympiad/cmo-problems/Sun, 15 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/cmo-problems/My solution to an Olympiad problem.British Maths Olympiad 2006 Round 1 Problem 1https://vamshij.com/blog/olympiad/bmo-2006-round-1-problem-1/Sat, 14 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2006-round-1-problem-1/My solution to an Olympiad problem.British Maths Olympiad 2010 Round 1 Problem 1https://vamshij.com/blog/olympiad/bmo-2010-round-1-problem-1/Fri, 13 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2010-round-1-problem-1/My solution to an Olympiad problem.British Maths Olympiad 2012 Round 1 Problem 4https://vamshij.com/blog/olympiad/bmo-2012-round-1-problem-4/Thu, 12 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2012-round-1-problem-4/My solution to an Olympiad problem.British Maths Olympiad 2016 Round 1 Problem 3https://vamshij.com/blog/olympiad/bmo-2016-round-1-problem-3/Wed, 11 Sep 2019 00:00:00 +0000https://vamshij.com/blog/olympiad/bmo-2016-round-1-problem-3/My solution to an Olympiad problem.Problems by Ramanujanhttps://vamshij.com/blog/2019-08-15-ramanujan/Thu, 15 Aug 2019 00:00:00 +0000https://vamshij.com/blog/2019-08-15-ramanujan/Submitted to the Journal of the Indian Mathematical Society (JIMS).Problems in summation of serieshttps://vamshij.com/blog/infseries/summation-of-series-problems/Thu, 08 Aug 2019 00:00:00 +0000https://vamshij.com/blog/infseries/summation-of-series-problems/Problem 1 Find a closed form solution for $f(z) = \sum_{n=1}^\infty \sum_{k=1}^n \frac{1}{k}z^n = z + \frac{3}{2}z^2 + \frac{11}{6}z^3 + \dots$.
Solution We have
$$ \begin{align*} f(z) - zf(z) &= z + \frac{z^2}{2} + \frac{z^3}{3} + \dots \\
&= \int \frac{1}{1-z}dz = -ln(1-z) \\
\implies f(z) &= -\frac{ln(1-z)}{1-z} \end{align*} $$
Problem 2 Evaluate $\sum_{n=0}^{\infty} \frac{(-1)^n)}{3^n(2n + 1)}$.Points on a circlehttps://vamshij.com/blog/riddler/pts-circle/Fri, 19 Apr 2019 00:00:00 +0000https://vamshij.com/blog/riddler/pts-circle/A FiveThirtyEight Riddler puzzle.What Are The Odds You’d Already Have My Number?https://vamshij.com/blog/riddler/odds-number/Fri, 09 Nov 2018 00:00:00 +0000https://vamshij.com/blog/riddler/odds-number/A FiveThirtyEight Riddler puzzle.Mastering Bitcoinhttps://vamshij.com/blog/2018-07-15-bitcoin/Sun, 15 Jul 2018 00:00:00 +0000https://vamshij.com/blog/2018-07-15-bitcoin/A high level overview of Bitcoin based on the fantastic
<a href="https://read.amazon.co.uk/kp/embed?asin=B071K7FCD4&preview=newtab&linkCode=kpe&ref_=cm_sw_r_kb_dp_3-6ZFbBE2V94X" target="_blank" rel="noopener">book</a>Problems in geometryhttps://vamshij.com/blog/geometry/geometry-problems/Tue, 03 Jul 2018 00:00:00 +0000https://vamshij.com/blog/geometry/geometry-problems/Some with elegant solutions.LICENSE: CC-BY-SAhttps://vamshij.com/license/Thu, 28 Jun 2018 00:00:00 +0100https://vamshij.com/license/My blog posts are released under a Creative Commons Attribution-ShareAlike 4.0 International License.Inspired - Lessons from Top Tech Companieshttps://vamshij.com/blog/product-management/inspired-lessons-from-top-tech-companies/Tue, 12 Jun 2018 00:00:00 +0000https://vamshij.com/blog/product-management/inspired-lessons-from-top-tech-companies/My notes from the fantastic book my Marty Cagan.Inspired - Product Teamshttps://vamshij.com/blog/product-management/inspired-the-right-product/Tue, 12 Jun 2018 00:00:00 +0000https://vamshij.com/blog/product-management/inspired-the-right-product/My notes from the fantastic book my Marty Cagan.Inspired - The Right Producthttps://vamshij.com/blog/product-management/inspired-product-teams/Tue, 12 Jun 2018 00:00:00 +0000https://vamshij.com/blog/product-management/inspired-product-teams/My notes from the fantastic book my Marty Cagan.When Will The Arithmetic Anarchists Attack?https://vamshij.com/blog/riddler/anarchists/Fri, 06 Apr 2018 00:00:00 +0000https://vamshij.com/blog/riddler/anarchists/A FiveThirtyEight Riddler puzzle.Can You Shuffle Numbers?https://vamshij.com/blog/riddler/shuffle/Fri, 23 Mar 2018 00:00:00 +0000https://vamshij.com/blog/riddler/shuffle/A FiveThirtyEight Riddler puzzle.Can You Rescue The Paratroopers?https://vamshij.com/blog/riddler/paratroopers/Fri, 23 Feb 2018 00:00:00 +0000https://vamshij.com/blog/riddler/paratroopers/A FiveThirtyEight Riddler puzzle.Probability and vitamin pillshttps://vamshij.com/blog/riddler/grasshopper/Fri, 02 Feb 2018 00:00:00 +0000https://vamshij.com/blog/riddler/grasshopper/A FiveThirtyEight Riddler puzzle.Solving Ostomachion using Z3https://vamshij.com/blog/riddler/ostomachion/Fri, 26 Jan 2018 00:00:00 +0000https://vamshij.com/blog/riddler/ostomachion/A FiveThirtyEight Riddler puzzle.Where Will The Seven Dwarfs Sleep Tonight?https://vamshij.com/blog/riddler/dwarfs/Fri, 05 Jan 2018 00:00:00 +0000https://vamshij.com/blog/riddler/dwarfs/A FiveThirtyEight Riddler puzzle.Help Us Find These Missing Pieceshttps://vamshij.com/blog/riddler/missing/Fri, 10 Nov 2017 00:00:00 +0000https://vamshij.com/blog/riddler/missing/A FiveThirtyEight Riddler puzzle.Can you help a frogger out?https://vamshij.com/blog/riddler/frogger/Fri, 03 Nov 2017 00:00:00 +0000https://vamshij.com/blog/riddler/frogger/A FiveThirtyEight Riddler puzzle.How Do You Like Them Rectangles?https://vamshij.com/blog/riddler/rectangles/Fri, 22 Sep 2017 00:00:00 +0000https://vamshij.com/blog/riddler/rectangles/A FiveThirtyEight Riddler puzzle.Will You Be A Ghostbuster Or A World Destroyer?https://vamshij.com/blog/riddler/ghostbuster/Fri, 15 Sep 2017 00:00:00 +0000https://vamshij.com/blog/riddler/ghostbuster/A FiveThirtyEight Riddler puzzle.Work A Shift In The Riddler Gift Shophttps://vamshij.com/blog/riddler/gift-shop/Fri, 25 Aug 2017 00:00:00 +0000https://vamshij.com/blog/riddler/gift-shop/A FiveThirtyEight Riddler puzzle.Who Steals The Most In A Town Full Of Thieves?https://vamshij.com/blog/riddler/steals/Fri, 30 Jun 2017 00:00:00 +0000https://vamshij.com/blog/riddler/steals/A FiveThirtyEight Riddler puzzle.My Dad's 'mystery cold'https://vamshij.com/blog/2017-06-15-dads-mystery-illness/Thu, 15 Jun 2017 00:00:00 +0000https://vamshij.com/blog/2017-06-15-dads-mystery-illness/My Sherlock Holmes moment.Can You Time The Stoplight Just Right?https://vamshij.com/blog/riddler/stoplight/Fri, 20 Jan 2017 00:00:00 +0000https://vamshij.com/blog/riddler/stoplight/A FiveThirtyEight Riddler puzzle.How Long Will It Take To Blow Out The Birthday Candles?https://vamshij.com/blog/riddler/candles/Fri, 13 Jan 2017 00:00:00 +0000https://vamshij.com/blog/riddler/candles/A FiveThirtyEight Riddler puzzle.Can You Slay The Puzzle Of The Monsters’ Gems?https://vamshij.com/blog/riddler/gems/Fri, 20 May 2016 00:00:00 +0000https://vamshij.com/blog/riddler/gems/A FiveThirtyEight Riddler puzzle.Can You Solve This Elevator Button Puzzle?https://vamshij.com/blog/riddler/elevator/Fri, 06 May 2016 00:00:00 +0000https://vamshij.com/blog/riddler/elevator/A FiveThirtyEight Riddler puzzle.Certificate in Quantitative Finance Projecthttps://vamshij.com/project/certificate-in-quantitative-finance/Wed, 27 Apr 2016 00:00:00 +0000https://vamshij.com/project/certificate-in-quantitative-finance/Code for implementing the Heath-Jarrow-Morton model and pricing Basket Credit Default Swaps using Copulas.The Puzzle Of Misanthropic Neighbors?https://vamshij.com/blog/riddler/misanthropic/Fri, 22 Apr 2016 00:00:00 +0000https://vamshij.com/blog/riddler/misanthropic/A FiveThirtyEight Riddler puzzle.You Have \$1 Billion To Win A Space Race. Go.https://vamshij.com/blog/riddler/space/Fri, 15 Apr 2016 00:00:00 +0000https://vamshij.com/blog/riddler/space/A FiveThirtyEight Riddler puzzle.Should You Pay \$250 To Play This Casino Game?https://vamshij.com/blog/riddler/casino/Fri, 25 Mar 2016 00:00:00 +0000https://vamshij.com/blog/riddler/casino/A FiveThirtyEight Riddler puzzle.Should You Shoot Free Throws Underhand?https://vamshij.com/blog/riddler/underhand/Fri, 11 Mar 2016 00:00:00 +0000https://vamshij.com/blog/riddler/underhand/A FiveThirtyEight Riddler puzzle.Will Someone Be Sitting In Your Seat On The Plane?https://vamshij.com/blog/riddler/aeroplane/Fri, 19 Feb 2016 00:00:00 +0000https://vamshij.com/blog/riddler/aeroplane/A FiveThirtyEight Riddler puzzle.How Many Cars Will Get Stuck In Traffic?https://vamshij.com/blog/riddler/cars/Fri, 05 Feb 2016 00:00:00 +0000https://vamshij.com/blog/riddler/cars/A FiveThirtyEight Riddler puzzle.Night Falls. A Storm Rolls In. Can You Cross The River?https://vamshij.com/blog/riddler/storm/Fri, 22 Jan 2016 00:00:00 +0000https://vamshij.com/blog/riddler/storm/A FiveThirtyEight Riddler puzzle.Real SQL Queries - 50 Challengeshttps://vamshij.com/blog/sql/real-sql-queries/Fri, 22 Jan 2016 00:00:00 +0000https://vamshij.com/blog/sql/real-sql-queries/Challenging problems from the book - Real SQL Queries - 50 ChallengesWill The Neurotic Basketball Player Make His Next Free Throw?https://vamshij.com/blog/riddler/basketball/Fri, 15 Jan 2016 00:00:00 +0000https://vamshij.com/blog/riddler/basketball/A FiveThirtyEight Riddler puzzle.How Long Will Your Smartphone Distract You From Family Dinner?https://vamshij.com/blog/riddler/smartphone/Tue, 22 Dec 2015 00:00:00 +0000https://vamshij.com/blog/riddler/smartphone/A FiveThirtyEight Riddler puzzle.Interesting Questionshttps://vamshij.com/blog/2014-11-24-interesting-questions/Mon, 24 Nov 2014 00:00:00 +0000https://vamshij.com/blog/2014-11-24-interesting-questions/A collection of intriguing questions from multiple sources.Edwise - exploiting the long tail of educationhttps://vamshij.com/blog/2006-09-25-edwise/Mon, 25 Sep 2006 00:00:00 +0000https://vamshij.com/blog/2006-09-25-edwise/A business that leverages the long tail.The Paint Industryhttps://vamshij.com/blog/2006-04-06-paint-industry/Thu, 06 Apr 2006 00:00:00 +0000https://vamshij.com/blog/2006-04-06-paint-industry/The industry is more complicated than you think it is.Payment cards at mallshttps://vamshij.com/blog/2006-02-09-payment-cards-in-malls/Thu, 09 Feb 2006 00:00:00 +0000https://vamshij.com/blog/2006-02-09-payment-cards-in-malls/The logic behind why some malls have their own cards for payment.