Playing Wordle Past Games -Archive

https://www.devangthakkar.com/wordle_archive/?1

Additional reading

Ars Technica: New York Times takes down third-party Wordle Archive.

Math Puzzle And Health

Can you answer this math question? If so, you’re numerate.

Students Who Became CEO's

I read today about students who go on to become CEO's and it was heartwarming.

Some students do go on to do well professionally I suppose.

One of my college mates was a year junior to me. An unpretentious looking person he was and a loner. Like me. And about as interested in world affairs as I was (which meant he could tell you who the current Prime Minister of India was, if given 3 guesses).

And he was a guy who got a 95 or a 100 out of 100 in all in the maths courses in college. He was way ahead of any other person in maths in his batch of 300 odd students. These students were considered to be exceptional by Indian standards.

Most people (including me) were in awe of him. He and I were close friends and remained so until I graduated. After college, life took us different ways. (reminds me of the song, "Antha Naal Nyaabagam" from tha Tamil movie "Uyarntha Manithan"). And I had lost touch with him for the last 20 years.

I spent a lot of effort tracing him and then recently I got to know his number. I called him. Of course he remembered me. We caught up with each other's lives.

He also seemed to have led a very low profile professional life. We were not Indra Nooyi nor a Sabeer Bhatia.

But I do recall those days when we would sit down next to the railway tracks and watch the trains go by. Neither of us was ambitious. Both of us loved to watch trains. I am pretty sure, even today if we were to hear a train whistling we would both turn to see / hear it (very much like Rajinikanth and Srividya in Maniratnam's movie Thalapathi
http://en.wikipedia.org/wiki/Thalapathi, though for a very different reason).

Hmmm.

Published on

2/2/11, 10:44 AM

India Standard Time

Puzzles

Here is a nice page for logical puzzles.

Here is another one a friend gave me.

Proof Of Pythogoras Theorm

http://www.cut-the-knot.org/pythagoras/index.shtml - See proof no:4 by Bhaskara.

The area of the bigger square is: (a+b)²

Area of the inner square = area of outer square - area of the 4 triangles 

= (a+b)²-4*(1/2*a*b)=a²+b²

Inner square has side c. Its area is c²

Hence a**2+b**2 = c**2

Additional reading: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/variable-and-expressions/v/why-aren-t-we-using-the-multiplication-sign

Published on

6/16/13, 12:33 PM

India Standard Time

Measuring Time In Minutes By Burning Ropes - Puzzle

http://sbjoshi.wordpress.com/2008/06/04/puzzle-burning-ropes/

Published on

9/4/14, 8:17 PM

India Standard Time

Cyclic Quadrilaterals - Angles In A Circle

• Angle at center is twice angle at circumference: http://theoremoftheweek.wordpress.com/2010/07/17/theorem-32-the-angle-at-the-centre-is-twice-the-angle-at-the-circumference/
• http://www.benjamin-mills.com/maths/Year11/circle-theorems-proof.pdf
• http://jwilson.coe.uga.edu/EMAT6680Su06/Byrd/Assignment%20Nine/CyclicQuad.pdf
• http://www.mathsisfun.com/geometry/circle-theorems.html

Published on

9/18/14, 5:30 PM

India Standard Time

Nice Sudoku Sites

This site solves Sudoku puzzles (on clicking the button Solve my Sudoku" : 

http://www.solvemysudoku.com/index.php?action=solve

This site seems to provide interesting stats on a Sudoku puzzle and helps solve Sudoku: http://www.sudokuwiki.org/sudoku.htm

This site creates some of the most difficult Sudoku puzzles that I have ever come across, possibly because they puzzle create incomplete puzzles which leads to non unique / multiple solutions. http://www.sudoku.com/ -  choose Hard or Expert Level (Perhaps Medium too). I had a torrid time trying to solve the Medium to Expert level puzzles and that led me to check whether the puzzles were complete in the first place,

Published on

1/14/15, 6:40 PM

India Standard Time

Some Interesting Math Problems To Read

Nash Equilibrium

1. http://datagenetics.com/blog/december32012/index.html
2. https://en.wikipedia.org/wiki/Nash_equilibrium
3. https://en.wikipedia.org/wiki/Battle_of_the_sexes_(game_theory)
4. https://en.wikipedia.org/wiki/Tit_for_tat
5. https://en.wikipedia.org/wiki/Stag_hunt
6. https://en.wikipedia.org/wiki/Auction_theory
7. https://en.wikipedia.org/wiki/Matching_pennies

Published on

2/20/17, 4:41 PM

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General Game Playing (GGP)

http://logic.stanford.edu/ggp/chapters/cover.html

Published on

10/8/15, 7:52 PM

India Standard Time

Differential Equations

Good introduction:

• http://www.math.brown.edu/UTRA/index.html#ma10
• http://www.sosmath.com/diffeq/first/lineareq/lineareq.html

Published on

11/7/16, 3:41 PM

India Standard Time

On Queueing

https://www.theguardian.com/uk-news/shortcuts/2017/feb/19/there-is-no-rule-of-six-the-truth-about-the-science-of-queueing

Published on

2/23/17, 12:07 PM

India Standard Time

Uncertainly And Errors In Data Collection

http://www.visionlearning.com/en/library/Process-of-Science/49/Uncertainty-Error-and-Confidence/157 - this seems to be a lovely site for Science and Maths.

Origin of Statistics from http://www.visionlearning.com/en/library/Process-of-Science/49/Statistics-in-Science/155 Quote:

The field of statistics dates to 1654 when a French gambler, Antoine Gombaud, asked the noted mathematician and philosopher Blaise Pascal about how one should divide the stakes among players when a game of chance is interrupted prematurely. Pascal posed the question to the lawyer and mathematician Pierre de Fermat, and over a series of letters, Pascal and Fermat devised a mathematical system that not only answered Gombaud's original question, but laid the foundations of modern probability theory and statistics.

Data collection and analysis is a very useful technique in science. We probe to find out what is happening, determine whether there is causation. We question our hypotheses and finally conclude. Here is an example of question and answer (by Jsssssssss): https://answers.microsoft.com/en-us/protect/forum/protect_defender-protect_scanning/if-we-have-windows-defender-in-windows-8-still-we/5f0f6e16-b009-4db1-b4be-78104cd8ef9b

Published on

3/19/17, 3:05 PM

India Standard Time 

Analysis Of One Night Stands And EMA's from A Sexy Uhhh Taxi Point Of View

How taxi data is used to determine extra marital affairs (EMA): https://web.archive.org/web/20140827195715/http://blog.uber.com/ridesofglory - the analysis is very interesting. Wowow

Published on

3/31/17, 11:37 AM

India Standard Time

Erotetic Reasoning Test - Puzzle

I was reading on fluid and crystallized intelligence when I stumbled on an interesting kind of puzzle from

http://www.academia.edu/10211127/Deductive_Reasoning_and_Learning_a_Cross-Curricular_Study

(English translation of an exemplary task from Erotetic Reasoning Test)

In the capital of a certain country someone planted a bomb in the palace of the king. The best royal engineer, who arrived immediately, established the following evidence: 1. There are three wires in the bomb: green, red and orange. 2. To disarm the bomb either the green or the red wire must be cut. Cutting the wrong wire will cause an explosion. 3. If the bomb has been planted by Steve, cutting the green wire will disarm it. 4. If the bomb has been planted by John, cutting the red wire will disarm it. Moreover, no one but John would have used the red wire. 5. If the bomb has not been planted on an even day of the month, the culprit is Steve. 6. The bomb has been planted by Steve, or by John, or by someone else. 
Each of the following questions below can be answered either ‘yes’ or ‘no’. Mark the question to which the answer (regardless of it being ‘yes’ or ‘no’) will allow you to establish in the shortest possible time which wire should be cut in order to disarm the bomb: [ ] Was the bomb planted on an even day of the month? [ ] Was the bomb planted by Steve? [ ] Was the bomb planted by John? [ ] Was the bomb planted by someone else than Steve or John?

Justify your choice.

Additional reading:
https://www.academia.edu/11428544/Intelligence_is_Dynamic_and_Can_Be_Taught