My personal theory of Zero Function

Recently I was preparing for my math test and an interesting math problem came up on my mind. I tryed to think about it and few hours later I came up with a possible solution which I am not sure if it is right, maybe it is not I really do not know, it is just a theory. The problem was dividing zero by zero. I know that there are math laws, that tells us that there is no way how we can divide any number by zero. On the other side many of math guys asked: “what about zero? Can we divide zero by zero?“ I googled that and I have got really suprised, I have found many interesting theories posted by an educated but also uneducated people. There was four theories which were repeating all the time. First was that dividing zero by zero is undentified, and that the result doesn’t exist. Second interesting theory was that dividing zero by zero is one, which is really logical because due to math law, every number divided by the same nuber equals one, so it was logical to be applied to zero when we consider zero as a number. Third theory was based on math law wich tells following: “every nubmer multiplyed by zero equals zero” based on this law they wrote an equations and found out that division must equal zero. The fourth theory was the most supported one and it was that dividing zero by zero equals to infinite. There were many comments which contained text like … this theory is wrong that one is right, thinking about this is a waste of time because there is no solution etc. Then I have stopped reading and I had started to think on my own about every one of these theories. Then I came up with my own new theory! … I have started to think about zero as a function not as a number. I was thinking, what if the zero is a some kind of unique “number” which has somehow encoded a function…..what if It is just a simple swich which is inverting every nubmer or function. I think that it can be possible.

Think about number axis there is plus infinity and when it gets throught the zero it is inverting every number to minus magnitude.

Think about unit circle used for an explanation in goniometric functions. Each time ( π period ) it gets throught the zero point line it is inverted.

Another example is to think about derivation of a zero and integration of derivation of zero the result will be zero. Why? I think that because derivation and integration are opposite functions and zero is inverting function so it always gonna be zero.

∫ 0 dx = 0 0' = 0

0 = f − 1 ( INVERTING FUNCTION )

DIVIDING BY ZERO EQUALS TO INVERTING THE STATEMENT OR NUMBER => ZERO DIVIDED BY ZERO EQUALS TO INVERTED INVERT FUNCTION WHICH IS ZERO.

0/0 = 0 R/0 = -R -1/0 = 1 ∞/0 = -∞ x/0 = x Rx/0 = x/R

Proof:

e.g.

Normal method

(f): y = 6x – 5 invert (f): x = ( y + 5 ) / 6 => y− 1 = ( x + 5 ) / 6

Division by 0

(f): 0 = 6x – 5 0 = 6x – 5 /0 => 0/0 = ( 6x – 5 )/0 => 0 = ( x + 5 ) / 6

0 = y− 1

 Zero is inverting function and also a number see the examples: √R/0 = R 2 , R/0 = -R (warning: 0 is inverting one function per one expression or one number per one expression not both at once!)  If you invert inverted function you must get the original function!  My theory is based on thought that we can write every number as a some kind of function !  From my point of view Zero should not be considered as a normal number, it should be considered as a function number!  You can not think about zero as in a realistic world, zero do not mean nothing! It just mean zero beginning or the end of the process!

This is just my personal opinion which has never been proofed!

Written by M. Wittner.