Differential Logic • 12

Transforms Expanded over Ordinary and Differential Variables

A first view of how the shift operator \mathrm{E} acts on the set of sixteen functions f : \mathbb{B} \times \mathbb{B} \to \mathbb{B} was provided by Table A3 in the previous post, expanding the expressions of \mathrm{E}f over the set \{ p, q \} of ordinary variables.

A complementary view of the same material is provided by Table 4 below, this time expanding the expressions of \mathrm{E}f over the set \{ \mathrm{d}p, \mathrm{d}q \} of differential variables.

Enlargement Map Expanded over Differential Variables

\text{Table A4.}~ \mathrm{E}f ~\text{Expanded over Differential Variables}~ \{ \mathrm{d}p, \mathrm{d}q \}

Ef Expanded over Differential Variables {dp, dq}

Resources

cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
cc: Research GateStructural ModelingSystems ScienceSyscoi

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