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

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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 (σC4 (R)))), in general, yield the same result as the Relational Algebra expression oC4 (σC3 (σC2 (σC1 (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 (σC4 (R)))), in general, yield the same result as the Relational Algebra expression oC4 (σC3 (σC2 (σC1 (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 (σC4 (R)))), in general, yield the same result as the Relational Algebra expression oC4 (σC3 (σC2 (σC1 (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 (σC4 (R)))), in general, yield the same result as the Relational Algebra expression oC4 (σC3 (σC2 (σC1 (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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In general the two Relational Algebra expressions you provided do not yield the same result The orde... View the full answer