Boolean operations are used in digital logic to combine the bits carried on individual wires, thereby interpreting them over { 0, 1 }.
22.
The resulting sixteen possibilities give rise to only eight Boolean operations, namely those with an odd number of 1's in their truth table.
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A simple form of predicate is a Boolean expression, in which case the inputs to the expression are themselves Boolean values, combined using Boolean operations.
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Solid modeling systems for computer aided design offer a variety of methods for building objects from other objects, combination by Boolean operations being one of them.
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If your path was regular at the beginning ( this is likely, as a boolean operation of regular objects ), the soft Beziers will be also.
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Another technique called constructive solid geometry defines objects by conducting boolean operations on regular shapes, and has the advantage that animations may be accurately produced at any resolution.
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When CSG is procedural or parametric, the user can revise their complex geometry by changing the position of objects or by changing the Boolean operation used to combine those objects.
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In addition, solids are required to be closed under the Boolean operations of set union, intersection, and difference ( to guarantee solidity after material addition and removal ).
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In both models, data values may be added, and bitwise Boolean operations and binary shift operations may typically also be performed on them, in unit time per operation.
30.
Applying the standard Boolean operations to closed regular sets may not produce a closed regular set, but this problem can be solved by regularizing the result of applying the standard Boolean operations.
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