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Notes (1001) : Some thoughts

For archive (Updated on February 13, 2019)

Palindrome

A palindrome reads the same forward and backward.

1001 is a numerical Palindrome.

Value of a number

The value of a number in positional notation depends upon the base or radix.

In the Decimal system (with Base Ten), 1001 has a value of a thousand and one.

In the Binary system (with Base Two), 1001 has a value of 9.

Folklore

“One Thousand and One Nights” (also known as Arabian Nights) is from the Arabic Folklore.

Scheherazade told 1001 stories to defer her death. Grapevine says that she succeeded in raising (possibly three) children.

Beauty of numbers

This is a story that I read many years ago.

Ramanujan was highly interested in Mathematics and ignored other subjects in College. He ended up as an employee in a post office. He was bold enough to send his handwritten notes to Professor Hardy of Cambridge University, who sponsored him.

Ramanujan later fell gravely ill. Professor Hardy went to see him in a hospital. He supposedly told Ramanujan that he rode a taxi cab with 1729 on its license.

Ramanujan replied, “That is an interesting number. It is the smallest number that can be represented as the sum of two cubes in two ways.”

1729 = 729 + 1000 = 9*9*9 + 10*10*10

1729 = 1 + 1728 = 1*1*1 + 12*12*12

Ramanujan’s writings are still being studied and refined by Mathematicians.

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