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Mon, Dec. 3rd, 2007, 01:18 pm
3 dimensional Identity Matrix

...___________
../..0...0...1./.]
./.0...1...0../1]
/1__0__0__/0.]
[..1..0..0..].1.]
[..0..1..0..].0/.
[..0..0..1..]1/..
[_________]/...

...___________
../..0...0...1./.]
./.0...1...0../1]
/1__0__0__/0.]
[..1..0..0..].1.]
[..0..1..0..].0/.
[..0..0..1..]1/..
[_________]/...

Matrix [A] is undefined. It extends infinitely in all directions.

The matrix [A] has an inverse that is a reflection of matrix [A].

Essentially: [A] = [A]-¹
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Imagine sensory perception, or "bottom-up" processing from the perspective of it's entire journey from the source of electromagnetic wave-format signals transduced to chemical gradient influenced, biochemical signals that are encoding and decoding as you are reading this.

That is, you eyes are focusing on the computer screen right now to read these letters, and while doing so your eyes are adjusting the focus of light into specific points through parabolic reflection. There is an equation for a line in this. If that equation were to be y² + x = 4py and/or x² + y = 4py (of course, this is only fictitious as this only represents a 2-dimensional parabola with directrix on either x and/or y).

On the coefficient matrix the line y² + x = 4py would be represented using the coefficients of y, x, and 4py.

For the values 3y² + 2x = 8

Matrix [A] = [3 2 8]

This is an organized table of abstract information, representing a [i]fictitious[/i] value for the focus of light indecent upon sensory receptors in the back of the retina at a given frequency, which is transcribed through "bottom-up processing."

If equation, 3y² + 2x = 8, which is a line, is an actual value for the frequency of light corresponding directly with the actual value of sensory transduction and encryption, then the line 3y² + 2x = 8 has an inverse which is equal to the specific sequence of the sensory encryption.

[A] = [A]-¹

To find the inverse [A]-¹ of [A] = [3 2 8]

And given other sensory input from the five senses, with given values all corresponding with associative electromagnetic frequencies and/or chemical gradient biochemical interactions i.e.

[3 2 8] <-- line representing vision
[1 9 5] <-- line representing sound
[7 6 4] <-- line representing touch

Then: Matrix [A] with the "tabula rasa" for finding [A]-¹ follows as:

[3 2 8]....[1 0 0]
[1 9 5] = [0 1 0]
[7 6 4]....[0 0 1]

Which is states that Matrix [A] = Identity Matrix

The Identity Matrix is the "blank slate" involved in the two dimensional ebb and flow of sensory transduction, encoding and decoding. This corresponds to the nervous system, or the logic used in computer systems.

For everything that "happens" to matrix [A] the identity matrix will change accordingly. The identity matrix will show the inverse of the original matrix [A]. However, the identity matrix is of the same value but different coefficients for given variables. One may say, different "perceptions."

Because [A] is specific to a fixed perspective, however, matrix [A] will variety according to all subsets of matrix [A].
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