Friday, July 23, 2010

Dividign with zero - a theory, in English

Presumably it is so that if anyone would divide 0 with two it would mean the end of
the world or the end of everything.

In the evening i suddenly got the idea.

Currently its widely spread and known that zero means its completely nothing,
emptiness.

But what if the zero, in fact, is everything?

When dividing  with two,  you get two halves:

10 : 2 = 5 and 5

Just like when you cut an apple in two and get two halves, not one (10 / 2 = 5).

So if we divide a zero, we get two sides as well:

0 : 2 = ∞ and - ∞

(∞ meaning infinity )

At the same time both sides must be equal.

from 0 to ∞ = from  -∞ to 0.

Lets say, for example, we choose  the sides value to be 5:

0 : 2 = 5 and -5

Adding two sides together  we get 0.

Similar rule applies to all even numbers (4, 6, 8, 10, 12 ...)

However The number of  answers increases accordingly, while there must be equal

amount of positive and negative  numbers.

For future reference  ill replace  ∞ with n.

example: 0 : 4  = n & -n & n & -n

In short 0 : 4 = 2n & -2n

Lets give n a value of 5:

0 : 4 = 5 & -5 & 5 & -5

0 : 4 = 10 & -10

So n value is half  the value of the divider.

0 : 6 = 3n & -3n

0 : 8 = 4n & -4n

Dividing 0 with a odd number is slightly different (using z1 and z2  to represent two

sides).

0 : 3 = z1 + z2

z1 = n & -n & n

z2 = -n & n & -n


z1 = 2n & -n

z2 = n & -2n


0 : 3 =  3n & .3n

0 : 3 = n & -n

PS! Dividing 0 with 1 would  give 0 since  you cannot divide a whole into 1 piece

and get  two pieces.
0 : 1 = 0


For bigger odd numbers ( 5, 7 , 9, 11 ...)

0 : 5 = z1 + z2



z1 = n & -n & n & -n & n

z2 = -n & n & -n & n & -n



z1 = 3n & -2n

z2 = 2n & -3n


0 : 5 = 5n & -5n

0 :5 = n & -n

So the end result is always n & -n.

In summary we can create two formulas:
    x means divider, n the value of the answer.

Even:

 0 : x = (x : 2)n & -(x : 2)n

Odd:

0 : x = n & -n


I apologize for any mathematically incorrect calculations. This does not however

include the "you cannot divide zero" fact. Theories are theories, just like we used to

believe that earth is flat and sun orbits around earth until proven otherwise, even while
majority believed it is completely wrong and not plausible.

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