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Number Systems
Post 8.3.1
Parallel Processing Algorithms
Arithmetic Statement ∙ Post 8.3
1! = 1 + 𝑂𝑃! 𝑔𝑙𝑜𝑏𝑎𝑙 !!
1 + 𝑂𝑃! 𝑙𝑜𝑐𝑎𝑙 !!
1! = 1 + 𝐺𝐿
!!
!!
!!
1 + 𝐿𝐶
!!
!!
!!
Then:
𝐷𝑐𝑎𝑛𝑐𝑒𝑙 = 1!
!!
Established:
𝑏! =
1!
𝑐!!_!!
!!_!!
Then:
𝑏! 𝑐𝑎𝑛𝑐𝑒𝑙 = 𝑏!
!!
Natural Example:
𝑏! =
1!
𝑐!
!
𝑏!
!!
= 3!
!
𝐸 + 8!!
2!!
Algorithmic Retracement ∙ Example
Prior Art
Define Prior Solution Kernel:
INPUT
𝐼𝑁𝑃𝑈𝑇𝑐𝑎𝑛𝑐𝑒𝑙 = 𝐵(𝑁, 𝑀, … 𝑋, 𝑌, … ) 𝐼𝑁𝑃𝑈𝑇!!_!!
!!_!!
Define Attribute
𝐿𝐸𝐹𝑇 = 𝑃𝑅𝐼𝑂𝑅
𝑅𝐼𝐺𝐻𝑇 = 𝑅𝐸𝑃𝐿𝐴𝐶𝐸

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Post_Number Systems_8.3.1

  • 1. Number Systems Post 8.3.1 Parallel Processing Algorithms Arithmetic Statement ∙ Post 8.3 1! = 1 + 𝑂𝑃! 𝑔𝑙𝑜𝑏𝑎𝑙 !! 1 + 𝑂𝑃! 𝑙𝑜𝑐𝑎𝑙 !! 1! = 1 + 𝐺𝐿 !! !! !! 1 + 𝐿𝐶 !! !! !! Then: 𝐷𝑐𝑎𝑛𝑐𝑒𝑙 = 1! !! Established: 𝑏! = 1! 𝑐!!_!! !!_!! Then: 𝑏! 𝑐𝑎𝑛𝑐𝑒𝑙 = 𝑏! !! Natural Example: 𝑏! = 1! 𝑐! ! 𝑏! !! = 3! ! 𝐸 + 8!! 2!! Algorithmic Retracement ∙ Example Prior Art Define Prior Solution Kernel: INPUT 𝐼𝑁𝑃𝑈𝑇𝑐𝑎𝑛𝑐𝑒𝑙 = 𝐵(𝑁, 𝑀, … 𝑋, 𝑌, … ) 𝐼𝑁𝑃𝑈𝑇!!_!! !!_!! Define Attribute 𝐿𝐸𝐹𝑇 = 𝑃𝑅𝐼𝑂𝑅 𝑅𝐼𝐺𝐻𝑇 = 𝑅𝐸𝑃𝐿𝐴𝐶𝐸