Boolean derivative

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: ∂f/∂x_i(⃑x)=f_x_i(⃑x)⊕f_̄x_i(⃑x).

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Meanings

nounBoolean derivative (plural Boolean derivatives)

plural Boolean derivatives

  1. algebraWith 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: ∂f/∂x_i(⃑x)=f_x_i(⃑x)⊕f_̄x_i(⃑x).

Origin

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

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Cite this entry
APA

Boolean derivative. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Boolean%20derivative

MLA

“Boolean derivative.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Boolean%20derivative. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Boolean derivative,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Boolean%20derivative.

Source: Boolean derivative on Wiktionary, CC BY-SA 4.0.