differential domain

[AntonioLao]

An integral domain is a mathematical system to which certain postulates hold exclusively for this particular system in question. For example, the system of positive and negative integers: 0, ±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8, …, to infinity. They hold the following postulates: (1) closure, (2) uniqueness, (3) commutative laws, (4) associative laws, (5) distributive law, (6) zero, (7) unity, ( additive inverse, and (9) cancellation law.

On the other hand, a differential domain is a system of Hadamard matrices. Moreover, the postulates for this system only apply for matrices of equivalent level of existence (LOE). Analogous to the properties held by an abstract ring structure, a differential domain is closed under the operations of addition and multiplications and that is an Abelian group with respect to addition and an associative semigroup with respect to multiplication and in which the distributive laws relating the two operations hold. For matrices A, B, I, and O at LOE=2 where I is the identity matrix and O is the zero matrix, one of the unique properties is AB=2B=B-A if and only if A+B=O. However, for single element matrices A=-1, I=B=1, and O=0 such that AB= -1, while B-A=2=1-(-1) the property does not hold.

[mkirkpatrick]

Is there any way to unite all these differentials? We need a way into fusions boudoir!


regards michael.

[AntonioLao]

Is there any way to unite all these differentials

Yes. The method can be found in the integral calculus and it is called the method of antiderivatives.

[mkirkpatrick]

Yes. The method can be found in the integral calculus and it is called the method of antiderivatives.

I think we are well on our way to"cutting the mustard" here Antonio!




regards michael.

[AntonioLao]

we are well on our way to"cutting the mustard"

Nor quite ready to pop the champagne cork yet, I found out recently that derivative and antiderivative contain a certain broken gauge symmetry. I can only describe these more clearly using the method of calculus.

[mkirkpatrick]

Nor quite ready to pop the champagne cork yet, I found out recently that derivative and antiderivative contain a certain broken gauge symmetry. I can only describe these more clearly using the method of calculus.

Well we will keep it on ice! The dawning is almost upon us.




regards michael.

[AntonioLao]

we will keep it on ice

Just hoping that the room temperature is not warm enough to melt the ice in less than a microsecond. But if time does not exist we need not worry.

[mkirkpatrick]

Just hoping that the room temperature is not warm enough to melt the ice in less than a microsecond. But if time does not exist we need not worry.

I am just a little concerned,but also hopeful



regards michael.

[AntonioLao]

I am just a little concerned,but also hopeful

More so if the global warming is truly escalating as what scientists wanted us to believe?

[mkirkpatrick]

More so if the global warming is truly escalating as what scientists wanted us to believe?

Global warming is heading for a meltdown!



regards michael.