Kenosymplirostic numbers

So, basically. I am now introducing a new number system called kenosymplirostic numbers. It is a type of number that you get when dividing by 0. So, what does kenosymplirostic mean? The name comes from two Greek words, ”keno” meaning ”gap” and ”sympliroste” meaning ”fill”. These numbers fill the gap that was left open, the gap people thought will never be closed.

Here is how it works:

$$\frac{1}{0}=1k$$

The value of the numerator is the coefficient of ”kenosym unit” k.

So, what about 0/0?

The thing is, it will be 0. Why? Because 0*k(the kenosym unit) is still 0 by definition.

And now, we talk about its place in the complex plane, or with the addition of kenosyymplirostic numbers, the complex space. It will go through the complex plane where it will meet in 0, the origin of real, imaginary and kenosymplirostic numbers.

ADDITION AND SUBTRACTION

So, let’s say we have:

$$1k+3k$$

It will be equal to:

$$\frac{1}{0}+\frac{3}{0}$$

Which will be

$$\frac{4}{0}or4k$$

This means that subtraction is just the same, as we treat 0 as a normal number.

MULTIPLICATION

So, let’s say we have:

$$3k\cdot 5k$$

That would mean 3/0 * 5/0 which will be 15/0 or 15k. (K IS NOT TREATED AS A VARIABLE) Kenosymplirostic numbers cannot be divided since it will always equal to 0 per the properties of dividing fractions.

EXPONENT

The kenosym unit k acts like the real number 1, where k to the power of any number n is k. kenosym numbers with coefficients will just raise the coefficient to that power and just copy the kenosym unit k.

RULES OF COEFFICIENTS

Only integers coefficients are allowed since there cant be a fourth dimension in the complex space and to avoiid many numbers having the same kenosym.

Axioms: Addition: a+b=b+a (Commutativity)

a+(b+c)=(a+b)+c (Associativity)

a+0=a (Identity element exists)

a+(−a)=0 (Inverse exists)

Multiplication:

ab=ba (Commutativity)

a(bc)=(ab)c (Associativity)

a*1=a (Identity element exists)

Distributive Property:

a(b+c)=ab+ac Shoutouts: Herve Arki from the Mathematics G+ community for bringing up an issue. :)

As of now, there are some paradoxes that might arise, but I will resolve all once I gain more knowledge. Also, if someone would help suggest to me a better kenosym unit, You can comment below this article.

Title	Kenosymplirostic numbers
Canonical name	KenosymplirosticNumbers
Date of creation	2014-10-11 21:53:52
Last modified on	2014-10-11 21:53:52
Owner	imaginary.i (1001376)
Last modified by	imaginary.i (1001376)
Numerical id	6
Author	imaginary.i (1001376)
Entry type	Definition
Synonym	numbers
Synonym	pi
Related topic	pi
Related topic	tau
Related topic	phi
Defines	Kenosymplirostic numbers