realmofwizardry.blogspot.com
Psychotic Ramblings: Chess Puzzle - 9
http://realmofwizardry.blogspot.com/2013/12/chess-puzzle-9.html
Friday, 20 December 2013. Chess Puzzle - 9. Carefully analyze the chess position below:. As you must have noticed, white is in a very strong position and has many good moves to choose from, including some free captures. Though there are many possible moves white can play that will leave him with a clear material advantage and an eventual victory, can you look past all the distraction and find a forced sequence leading to a quick mate? 22 December 2013 at 13:43. A) 2 fg6 3. Rf8#. B) 2 Qg6 3. Ng6. I am a r...
realmofwizardry.blogspot.com
Psychotic Ramblings: October 2013
http://realmofwizardry.blogspot.com/2013_10_01_archive.html
Tuesday, 8 October 2013. A Simple Bijection between Even and Odd Subsets. Let $E(n)$ denote the set of even subsets (subsets of even size) and $O(n)$ the set of odd subsets (subsets of odd size) of a set $S$ containing $n$ elements. Assuming $n geq 1$, we can describe a simple bijection between these two sets as follows-. An Irrational Raised to the Power of an Irrational - Can it be Rational? The answer, rather surprisingly, is YES. And here is a classic proof to establish the fact beyond all doubt -.
realmofwizardry.blogspot.com
Psychotic Ramblings: Twin Primes and Prime Triples
http://realmofwizardry.blogspot.com/2013/11/twin-primes-and-prime-triples.html
Monday, 4 November 2013. Twin Primes and Prime Triples. A twin prime is a prime number. That differs from another prime number by two, like for example, the twin prime pair (41, 43). Twin primes appear despite the general tendency of gaps between adjacent primes to become larger as the numbers themselves get larger due to the prime number theorem. Which states that the "average gap" between primes less than $n$ is $log(n)$. For many years. In 1849 de Polignac. Made the more general conjecture. When it co...
realmofwizardry.blogspot.com
Psychotic Ramblings: Chess Puzzle - 10
http://realmofwizardry.blogspot.com/2014/04/chess-puzzle-10.html
Monday, 21 April 2014. Chess Puzzle - 10. I'm finally adding a new chess puzzle to my blog after a pretty long hiatus. So, it is time to put on your thinking caps once again. Look carefully at the position (black to move) below:. If you think you've got it, please do post your answer as a comment below. Subscribe to: Post Comments (Atom). Mumbai, Maharashtra, India. View my complete profile. Chess Puzzle - 10. Notes from Japan 3: Language. Coming back to life. Predictive Toxicity In Silico.
realmofwizardry.blogspot.com
Psychotic Ramblings: An Irrational Raised to the Power of an Irrational - Can it be Rational?
http://realmofwizardry.blogspot.com/2013/10/an-irrational-raised-to-power-of.html
Tuesday, 8 October 2013. An Irrational Raised to the Power of an Irrational - Can it be Rational? If you like playing around with numbers, here is a question for you to ponder over: is it possible to obtain a rational number by raising an irrational number to the power of another irrational number? The answer, rather surprisingly, is YES. And here is a classic proof to establish the fact beyond all doubt -. Let us consider the irrational numbers $ sqrt{2}$ and $ sqrt{3}$. In nature, which means that it d...
realmofwizardry.blogspot.com
Psychotic Ramblings: A Simple Bijection between Even and Odd Subsets
http://realmofwizardry.blogspot.com/2013/10/a-simple-bijection-between-even-and-odd.html
Tuesday, 8 October 2013. A Simple Bijection between Even and Odd Subsets. Let $E(n)$ denote the set of even subsets (subsets of even size) and $O(n)$ the set of odd subsets (subsets of odd size) of a set $S$ containing $n$ elements. Assuming $n geq 1$, we can describe a simple bijection between these two sets as follows-. Subscribe to: Post Comments (Atom). Mumbai, Maharashtra, India. View my complete profile. A Simple Bijection between Even and Odd Subsets. Chess Puzzle - 7. Notes from Japan 3: Language.
realmofwizardry.blogspot.com
Psychotic Ramblings: Chess Puzzle - 8
http://realmofwizardry.blogspot.com/2013/12/chess-puzzle-8.html
Wednesday, 18 December 2013. Chess Puzzle - 8. After a long hiatus, I'm finally posting a new chess puzzle on my blog. Looking at the position above, can you find the sequence of moves that white needs to play in order to enforce a checkmate? As usual, I will be waiting for your answers (hopefully in algebraic notation) to be posted in the comments section. Cheers! 20 December 2013 at 12:32. 20 December 2013 at 13:08. 20 December 2013 at 13:34. Ah right. Need to think some more. 22 December 2013 at 13:50.
realmofwizardry.blogspot.com
Psychotic Ramblings: August 2013
http://realmofwizardry.blogspot.com/2013_08_01_archive.html
Monday, 12 August 2013. The Mirror of Reality. I looked into the mirror and saw. A jolly face grinning back-. A face that radiated vigour and youth,. As if it had not a single care in the world! I was beginning to turn away,. But then, something caught my eye;. I looked more closely, and with a critical eye,. And the face didn't look so jolly after all-. Even the grin now seemed somewhat strained,. Almost as if it hid a grimace of pain. I looked even more closely, and was taken aback. Which was also the ...
realmofwizardry.blogspot.com
Psychotic Ramblings: September 2013
http://realmofwizardry.blogspot.com/2013_09_01_archive.html
Saturday, 28 September 2013. Bangla Kobita - 5. আজ সভ্যতা আমায় করেছে অন্ধ,. তবু পাই আমি তাজা রক্তের গন্ধ-. ভবিষ্যত্ হোক না মোর যতই ধোঁয়াশা,. মেটে না প্রবল এই জীবনপিপাসা. স্পর্শকাতর নয় এই মন-. বহু তীর ছুঁয়ে চলে যায়. ক্ষতবিক্ষত প্রতিটা ক্ষণ. তবু বারবার মনকে কাঁদায়! Sunday, 22 September 2013. Chess Puzzle - 6. Today's puzzle is quite a tricky one, but once you figure it out, I promise you that you will find yourself wonderstruck by the sheer beauty of the solution! Bangla Kobita - 4. বাইরে...জ্ব...
