Boolean derivative

English

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

Boolean derivative (plural Boolean derivatives)

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

单词	Boolean derivative
释义	Boolean derivative English Etymology Named after George Boole (1815–1864), an English mathematician, educator, philosopher and logician. Noun Boolean derivative (plural Boolean derivatives) (algebra) With respect to a Boolean variable ${\\displaystyle x_{i}}$ : The XOR-sum of the positive and negative Shannon cofactors of the given derived function with respect to ${\\displaystyle x_{i}}$ . In symbols: ${\\displaystyle {\\partial f \\over \\partial x_{i}}({\\vec {x}})=f_{x_{i}}({\\vec {x}})\\oplus f_{{\\bar {x}}_{i}}({\\vec {x}})}$ .
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