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Posts Tagged ‘Interesting’

Etymology of PI – A pictorial explanation

September 14th, 2009 6 comments

Pi (π=3.14159) is always an interesting mathematical constant. We all know what is PI? But have you ever thought about the etymology of Pi?

The below picture reveals the secret.

etymology-of-pie

What an amazing coincidence?  [via neatorama]

PI value – Upto 2000 decimal places

March 25th, 2009 No comments

PI

PI is an interesting Mathematical constant (PI=3.14159).

PI constant is something special.

  • PI is an irrational number. That is, its value cannot be expressed exactly as a fraction m/n, where m and n are integers.
  • Its decimal representation never ends or repeats.
  • It is also a transcendental number, which means that no finite sequence of algebraic operations on integers (powers, roots, sums, etc.) can be equal to its value.

We all know the value of PI is approximately 3.14159. This is the approximate value of 5 decimal places.

Do you know the value of PI with 2000 decimal places?

David Webb had created a python script which will create this value.

Value of pi 2000 - decimal places
Value of pi 2000 – decimal places

Click here to see the approximate value of PI up to 2000 decimal places.

Also visit PI  Pictorial Explanation to know more about PI.

PI – Pictorial explanation

February 26th, 2009 5 comments
pi

PI - Pictorial Explanation

Go back to your school days…; Mathematics class…; Geometry lessons…

Pi or π is a mathematical constant whose value is 3.14159. This is the ratio of any circle’s circumference to its diameter.

We all know about the above facts and can give many pages of explanations for the value 3.1.4159.

But the picture given above is sufficient to replace all such explanations.

A picture is worth a thousand words.

Image Credit : Wiki

Popular anagrams

December 24th, 2008 4 comments
Anagram

What is Anagram?

An anagram (Greek anagramma ‘letters written anew’, passive participle of ana- ‘again’ + gramma ‘letter’) is a type of word play, the result of rearranging the letters of a word or phrase to produce a new word or phrase, using all the original letters exactly once;

e.g., A decimal point = I’m a dot in place.

Here are some popular anagrams

A Decimal Point I’m a Dot in Place
A gentleman Elegant man
A telescope To see place
Admirer Married
Astronomers Moonstarers
Eleven plus two Twelve plus one
Misfortune Oft ruins me
Mother-in-law Woman Hitler
One hug Enough?
Schoolmaster The Classroom
Six and three IX stand there
Snooze Alarms Alas! No More Z’s
State criminals A miscreant list
The housewarming Thus rig a new home
The married man I’m her darned mate
The ‘Mona Lisa’ No hat, a smile
The typewriter Write pretty, eh?
This ear It hears
Traffic rules Careful first

Last but not least
Vijay For Victory – Jar Victory Of Ivy

Protect your valuables

September 2nd, 2008 4 comments

An easy way to protect your valueables like Credid Card, Money, Keys etc…

Everyone takes necessary actions to protect their valueables especially when you are on some tour or pleasent trips.

Look at this picture here. Isn’t easy and good.

Innovative Product

Reef Stash Sandals

Make sure that you don't loose your sandals. :) 

False Proof : 1 = -1

August 22nd, 2008 No comments

False Proof is one of the concepts in Mathematics. This is a quite interesting area. One of my Mathematics professor started his first class with the following question.

Can you prove 1 = -1?

We all said nope.

Then he went to the blackboard and wrote the following proof.

Version 1:

False Proof 1 = -1

Amazing. Isn’t? This is called False Proof.

There is one more way to prove 1 = -1.

Version 2 :

False Proof 1 = -1

Now let us see, how is this possible?

Let us take the first proof (False Proof)

The rule  isrootxy generally valid only if at least one of the two numbers x or y is positive, which is not the case here. Alternatively, one can view the square root as a 2-valued function over the complex numbers; in this case both sides of the above equation evaluate to {1, -1}.

How about the second version? Is that true? The answer is false again. Below is the explanation.

The equation a bc = (a b )c, when b and/or c are fractions, is generally valid only when a is positive, which is not the case here, leading to an invalid proof.