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Discrete Mathematics : 11 Definitions - Boolean variable, Bit operation, Tautology, Contingency, Axiom, Paradox, Venn Diagram, Infinite Set, Domain of f, Codomain of f and Inverse of f

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On the following terms could you please give my an English text description - in your own words.

1. Boolean variable
2. Bit operation
3. Tautology
4. Contingency
5. Axiom
6. Paradox
7. Venn Diagram
8. Infinite Set
9. Domain of f
10. Codomain of f
11. Inverse of f.

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Boolean variable, bit operation, tautology, contingency, axiom, paradox, venn diagram, infinite set, domain of f, codomain of f and Inverse of f definitions are provided. The solution is detailed and well presented.

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On the following terms could you please give my an English text description - in your own words. Thanks.

1. Boolean variable: Let B = {0,1}. The variable x is a Boolean variable iff it takes on
values from B.

2. Bit operation: In computer programming, a bit operation operates on one or
two bit patterns or binary numerals at the level of their individual bits. On many computers, bit operations ...

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