Consider like this:
There are only three MAJOR NUMBERS in this world. All the other numbers are their added or multiplied replica.
Say it is like this: 0 and infinity are the two extremities of the positive number line: 1 is the midpoint of this number line. There is infinite distance between 0 and 1(just consider) and there is infinite distance between 1 and infinity. Why i am saying this is you can find infinite number of numbers between 0 and 1 like, 0.1, 0.9, 0.9999, 0.8576, 0.00078544, 0.0506640478 like. Also you can find infinite numbers between numbers 1 and infinity like 2, 3, 6589,787965743559207, and so on.
So you have your calculator with you?
Take a number between 1 and 0, say 0.999 and square it continuously, finally you will only get 0. Of course, there is some negligible number. But when you have squared infinite times it would be a perfect ZERO. Similarly when you take a number between 1 and infinity and square it infinite times you will get INFINITY.
From this it is clear that on squaring a number it takes you to the either extremities of the 01infinity number line. It is like expanding, is it not. So I call powering as "THE EXPANDING PATTERN" when the power lies between 1 and infinity. When you square 1 infinite times you get only 1, because it is the neutral midpoint.
So here, for a simple narration lets take squaring and square rooting.
I call Squaring as the Expanding Pattern.
Now when you take any number between 0 to 1 or 1 to infinity and take root of it with the calculator infinite times you will always get 1. So if the power is fractional on simplifying or if the power lies between 0 to 1, on infinitely taking the root, you get "1" always.
So, regardless whether a number lies close to infinity or close to zero on taking the root continuously or infinite times, you get 1 only. So you are always pulled to the number 1. So I call taking root as THE CONDENSING PATTERN.
There are only three MAJOR NUMBERS in this world. All the other numbers are their added or multiplied replica.
Say it is like this: 0 and infinity are the two extremities of the positive number line: 1 is the midpoint of this number line. There is infinite distance between 0 and 1(just consider) and there is infinite distance between 1 and infinity. Why i am saying this is you can find infinite number of numbers between 0 and 1 like, 0.1, 0.9, 0.9999, 0.8576, 0.00078544, 0.0506640478 like. Also you can find infinite numbers between numbers 1 and infinity like 2, 3, 6589,787965743559207, and so on.
So you have your calculator with you?
Take a number between 1 and 0, say 0.999 and square it continuously, finally you will only get 0. Of course, there is some negligible number. But when you have squared infinite times it would be a perfect ZERO. Similarly when you take a number between 1 and infinity and square it infinite times you will get INFINITY.
From this it is clear that on squaring a number it takes you to the either extremities of the 01infinity number line. It is like expanding, is it not. So I call powering as "THE EXPANDING PATTERN" when the power lies between 1 and infinity. When you square 1 infinite times you get only 1, because it is the neutral midpoint.
So here, for a simple narration lets take squaring and square rooting.
I call Squaring as the Expanding Pattern.
Now when you take any number between 0 to 1 or 1 to infinity and take root of it with the calculator infinite times you will always get 1. So if the power is fractional on simplifying or if the power lies between 0 to 1, on infinitely taking the root, you get "1" always.
So, regardless whether a number lies close to infinity or close to zero on taking the root continuously or infinite times, you get 1 only. So you are always pulled to the number 1. So I call taking root as THE CONDENSING PATTERN.
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