Boolean in the PONS Dictionary

American English

Monolingual examples (not verified by PONS Editors)

English
The assumption of differentiability or even continuity is questionable since the Boolean algebra of statements may only be finite.
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In order to obtain a non-circular definition of Boolean-valued set, they are defined inductively in a hierarchy similar to the cumulative hierarchy.
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One speaks of the circuit complexity of a Boolean circuit.
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For propositional connectives, this is easy; one simply applies the corresponding Boolean operators to the truth values of the subformulae.
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Operations in a Boolean algebra are known as bitwise operations in computer science.
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Put another way, it asks whether a quantified sentential form over a set of Boolean variables is true or false.
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For a typical Boolean function, there are many different functionally equivalent transistor netlists.
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Some of these structures are either Boolean algebras or proper extensions thereof.
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Statements that take conditions, such as and, require an expression of a type that implements the operator, such as the Boolean type.
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Any particular Boolean function can be represented by one and only one full disjunctive normal form, one of the two canonical forms.
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