Saturday, February 19, 2011
Irrational Numbers - another display of Krishna's genius
Jai Srila Prabhupada
Recently something had spurred in me a lot of interest for Math. I came across the concept of irrational numbers. You can create an irrational number in a number of ways. One of which I know is by taking the square-root of a number. There is also a ready to use irrational number - the pi.
Thinking of the pi made me appreciate the creative genius of Lord Krishna. The definition of the pi is: The number that you get when you divide the circumference of a circle by its radius. Fascinating isn't it? Just think of it. Draw a circle. Find its circumference. Then divide it by the circle's radius. And lo; you get a number that's having infinite digits with no repetition. That means you just can't express the pi using pen and paper like you do for other (rational) numbers. What special property that the circumference of a circle has that gives this special number - the pi - the irrational nature? We can only appreciate the genius of Krishna whenever we look at the pi.
Jaya Sathguru Bhagwan Sridhara swamy maharaja.
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Irrational numbers are numbers that cannot be written as the ratio of two integers. And it turns out that when a number can’t be written as the ratio of two integers, it also can’t be written using a finite number of decimal digits. For example, the square root of 2, which I just told you is irrational, is equal to 1.414213562… and on and on forever. In other words, irrational numbers require an infinite number of decimal digits to write—and these digits never form patterns that allow you to predict what the next one will be.So as i think it will be the irrational numbers definition
ReplyDeleteYou are right dear pi makes a good effort .