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Saturday, June 6, 2015. Proof - PI is irrational. Lets assume PI is rational. Then PI = a/b, a and b are integers. We also know pi is not an integer as its value lies between 3 and 4. We know the equation:. E (i PI) = -1. Substituting its rational form:. E (i * (a/b) = -1. Raising both sides to bth power. E (a i) = (-1) b. Now there are two cases:. 1 b is odd. In this case e (a i) = -1. This means cos a = -1. But we know PI is not an integer. so a is not an integer either. 2 b is even. This means cos a =1.

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Saturday, June 6, 2015. Proof - PI is irrational. Lets assume PI is rational. Then PI = a/b, a and b are integers. We also know pi is not an integer as its value lies between 3 and 4. We know the equation:. E (i PI) = -1. Substituting its rational form:. E (i * (a/b) = -1. Raising both sides to bth power. E (a i) = (-1) b. Now there are two cases:. 1 b is odd. In this case e (a i) = -1. This means cos a = -1. But we know PI is not an integer. so a is not an integer either. 2 b is even. This means cos a =1.

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Something interesting... | fakrudeen-something.blogspot.com Reviews

https://fakrudeen-something.blogspot.com

Saturday, June 6, 2015. Proof - PI is irrational. Lets assume PI is rational. Then PI = a/b, a and b are integers. We also know pi is not an integer as its value lies between 3 and 4. We know the equation:. E (i PI) = -1. Substituting its rational form:. E (i * (a/b) = -1. Raising both sides to bth power. E (a i) = (-1) b. Now there are two cases:. 1 b is odd. In this case e (a i) = -1. This means cos a = -1. But we know PI is not an integer. so a is not an integer either. 2 b is even. This means cos a =1.

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Something interesting...: Continuum hypothesis for layman

http://fakrudeen-something.blogspot.com/2013/12/continuum-hypothesis-for-layman.html

Sunday, December 15, 2013. Continuum hypothesis for layman. We have at least 2 different kinds of infinities:. 1 Integers and all the other countable numbers - That is things you can pair with integers. For instance pairs: {1, 1}, {1,2} . These can be easily paired integers along diagonals:. 1 1} {1 2} {1 3}. 2 1} {2 2}. We can easily pair like so:. 1 - {1 1}. 2 - {1 2}. 3 - {2 1}. 4 - {1 3}. 5 - {2 2}. 2 On the other hand real numbers are really bigger than integers! In fact they are not even real.

2

Something interesting...: June 2013

http://fakrudeen-something.blogspot.com/2013_06_01_archive.html

Saturday, June 1, 2013. How to know if you are educated. How to know if you are educated - that is well-educated. It simply doesn't mean you have a degree in something. 1 You know earth is round. It is so simple and obvious, but I don't think many people feel it in their bones. For example, How would you tell a kid that earth is round? Another is when it is day in say India it is night in USA. It can't happen if earth is flat. All the earth will get sunlight at same time. Many people would think that sea...

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Something interesting...: October 2013

http://fakrudeen-something.blogspot.com/2013_10_01_archive.html

Monday, October 7, 2013. Why a digital computer is just a DFA? Pedantically speaking of course! A digital computer is just a Deterministic finite automaton, which of course is equivalent to the complexity [or power] of Regular expressions. A digital computer just has 2 [memory size] states it can go to. So it is equivalent to a DFA having 2 [memory size] states. So in that sense it is no more powerful than a DFA. But to reiterate pedantically speaking it is just a DFA with huge number of states! For exam...

4

Something interesting...: September 2013

http://fakrudeen-something.blogspot.com/2013_09_01_archive.html

Saturday, September 28, 2013. Great Perimeter institute physics videos. I found very good set of physics course videos in perimeter institute recorded seminar archive. I am going through these 2 courses and they are very good and highly recommended. 1 Advanced General Relativity. This course introduces general relativity at advanced level as the name implies. Prof. Sorkin is very smart and good teacher despite his soft voice! 1 In Quantum mechanics coherent superposition is destroyed and it definitely is...

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Something interesting...: Godel's theorem for layman

http://fakrudeen-something.blogspot.com/2014/10/godels-theorem-for-layman.html

Sunday, October 19, 2014. Godel's theorem for layman. In mathematics we use:. A set of assumptions (axioms) and. Use a set of rules for deriving conclusions (inference). Proofs are statements which are derivable from axioms using these rules. A system is consistent if we can only prove true statements. That is we can't prove a statement and its opposite. For example, we can't prove both 2 2 = 4 and 2 2! 4 in the system. Only one can be proven. THIS STATEMENT IS NOT PROVABLE. Godels theorem for layman.

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Bashundhara R/A road, KA / 8, Badda ( Bashundhara R/A,Baridhara). Phone: 8415904, Cell: 01756551111. 37, South Gulshan, Circle-1. Phone: 8861937, Cell: 01716584241. House- 2, Road- 5, Sector- 1. Phone: 8932956, Cell: 01819070671. House- 3, Road- 3, Dhanmondi, Dhaka. Phone- 9665238, Cell: 01979254698. 99, Karim chamber, Dhaka-1000. Phone: 9554266, Cell: 01717796794. 384, Bara Moghbazar Moor. Ph: 9359530, Cell: 01756166833. 76/A (Babul Towar), Kazi Nazrul Islam Avenue, Farmgate, Dhaka-1215. The chef behind...

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Something interesting...

Saturday, June 6, 2015. Proof - PI is irrational. Lets assume PI is rational. Then PI = a/b, a and b are integers. We also know pi is not an integer as its value lies between 3 and 4. We know the equation:. E (i PI) = -1. Substituting its rational form:. E (i * (a/b) = -1. Raising both sides to bth power. E (a i) = (-1) b. Now there are two cases:. 1 b is odd. In this case e (a i) = -1. This means cos a = -1. But we know PI is not an integer. so a is not an integer either. 2 b is even. This means cos a =1.

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