Unknown's avatar Jon Awbrey 6:54 am on February 28, 2026
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Differential Logic • 13

Transforms Expanded over Ordinary and Differential Variables

Two views of how the difference operator \mathrm{D} acts on the set of sixteen functions f : \mathbb{B} \times \mathbb{B} \to \mathbb{B} are shown below.  Table A5 shows the expansion of \mathrm{D}f over the set \{ p, q \} of ordinary variables and Table A6 shows the expansion of \mathrm{D}f over the set \{ \mathrm{d}p, \mathrm{d}q \} of differential variables.

Difference Map Expanded over Ordinary Variables

\text{Table A5.}~ \mathrm{D}f ~\text{Expanded over Ordinary Variables}~ \{ p, q \}

Df Expanded over Ordinary Variables {p, q}

Difference Map Expanded over Differential Variables

\text{Table A6.}~ \mathrm{D}f ~\text{Expanded over Differential Variables}~ \{ \mathrm{d}p, \mathrm{d}q \}

Df Expanded over Differential Variables {dp, dq}

Resources

cc: Academia.edu • Cybernetics • Laws of Form • Mathstodon (1) (2)
cc: Research Gate • Structural Modeling • Systems Science • Syscoi

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