Last Updated
：2025/12/03
Boolean derivative
Noun
Japanese Meaning
Boolean微分とは、ブール関数 f に対して、あるブール変数 x_i に関する正のシャノン共役関数 f(x_i=1) と負のシャノン共役関数 f(x_i=0) のXOR和（排他的論理和）を用いて定義される演算です。
（ plural ）
Quizzes for review
(algebra) 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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Boolean derivative
To compute fault detection in a logic circuit, the Boolean derivative of the output function with respect to an input variable reveals sensitivity to single-bit flips.
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To compute fault detection in a logic circuit, the Boolean derivative of the output function with respect to an input variable reveals sensitivity to single-bit flips.
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