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Updated 07/30/2008 05:53:27 -0700

Zim Mathematics  - Recycle Bin (Trash Mathematics / Work in Progress)

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 I am almost ashamed to admit it but some of my best ideas come from the Recycle Bin or Trash Mathematics

 

Where Every - Any - Some - None serve as logical operators on Systems modeled with Numerical Functions.  The Description breakdown follows in the table below:  This Transformation gives functionality for any system

Transformation component

Operand / Example *

Logical Operator

Fruit Function Example *

Every(x)

Xc

Uni

Apple Fruit

*/

Any(x)

Cx

And (+)

Apple + Orange + Pear

*/

Some(x)

(Xc × Cx)

Uni and(+) Not(!)

Apple Fruit ×( Apple + Orange + Pear)
+
! Apple Fruit ×( Apple + Orange + Pear)

*/

None(x)

 (Xc × Cx + !Xc × Cx )

Not(!)

! (Apple Fruit ×( Apple + Orange + Pear)
+
! Apple Fruit ×( Apple + Orange + Pear))
 

Note: Numeric Negative is a loss of information and is not "Logical"


* Fruit Function Examples or  Functional Units can be said to be interchangeable.

 A Mathematics Generator Machine cartoon.

Also the following illustrates the possible Sub Function Math Constructs of this System Transformation:

Author - Zim Olson     Top of Page