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Let R(A1,A2,A3,A4) be the schema of a relation R, and let C1,...,C4 be conditions on A1,...,A4. Does the Relational Algebra expression oC1 (oC2 (oC3

Let R(A1,A2,A3,A4) be the schema of a relation R, and let C1,...,C4 be conditions on A1,...,A4. Does the

Let R(A1,A2,A3,A4) be the schema of a relation R, and let C1,...,C4 be conditions on A1,...,A4. Does the Relational Algebra expression oC1 (oC2 (oC3 (C4 (R)))), in general, yield the same result as the Relational Algebra expression oC4 (C3 (C2 (C1 (R))))? If yes, provide a formal mathematical argumentation. If not, argue why not. If your answer is no, are there any restrictions that could make the statement true? If so, what are these restrictions in mathematical notation? Let R(A1,A2,A3,A4) be the schema of a relation R, and let C1,...,C4 be conditions on A1,...,A4. Does the Relational Algebra expression oC1 (oC2 (oC3 (C4 (R)))), in general, yield the same result as the Relational Algebra expression oC4 (C3 (C2 (C1 (R))))? If yes, provide a formal mathematical argumentation. If not, argue why not. If your answer is no, are there any restrictions that could make the statement true? If so, what are these restrictions in mathematical notation?

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