Boolean derivative

Meaning

Noun

• With respect to a Boolean variable $x\_i$: The XOR-sum of the positive and negative Shannon cofactors of the given derived function with respect to $x\_i$. In symbols: $\{\backslash partial\; f\; \backslash over\; \backslash partial\; x\_i\}\; (\backslash vec\; x)\; =\; f\_\{x\_i\}\; (\backslash vec\; x)\; \backslash oplus\; f\_\{\backslash bar\; x\_i\}\; (\backslash vec\; x)$.

Origin

• Named after George Boole (1815–1864), an English mathematician, educator, philosopher and logician.