Relational model overview — evaluate the statement: “A relation is a two-dimensional table.” Decide whether this simplification is acceptable in database theory contexts.
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ACorrect — a relation can be represented as a two-dimensional table of tuples and attributes
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BIncorrect — a relation is a graph structure, not a table
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CIncorrect — relations must be three-dimensional to store joins
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DOnly correct in SQL but not in the relational model
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ENot decidable without a specific DBMS
Answer
Correct Answer: Correct — a relation can be represented as a two-dimensional table of tuples and attributes
Explanation
Introduction / Context: The tabular representation is the most common mental model for relations. While a relation is formally a set of tuples over attributes, it is routinely visualized and manipulated as a two-dimensional table.
Given Data / Assumptions:
- Rows correspond to tuples (records).
- Columns correspond to attributes (fields).
- Order of rows and columns in formal theory is not significant; duplicates are not allowed in a strict relation.
Concept / Approach: Calling a relation a “two-dimensional table” is an acceptable pedagogical simplification used in textbooks and practice. The key is to remember the underlying set semantics: no duplicate tuples, attribute names define columns, and order does not matter. Within those caveats, the statement is considered correct for introductory and applied contexts.
Step-by-Step Solution:
Map formal concepts to table semantics.Recognize the 2D grid representation as conventional.Account for set-based nuances: ordering and duplicates are theoretical differences from many SQL systems.Conclude the statement is acceptable as a simplification.Verification / Alternative check: SQL DDL/DML operate on tables whose abstraction mirrors relations; relational algebra operations (selection, projection, join) align with tabular processing.
Why Other Options Are Wrong:
- Relations are not graphs or multidimensional arrays by definition.
- The description is not limited to a specific DBMS; it is a model-level view.
Common Pitfalls: Forgetting that a relation is a set (no duplicates) and that order is not defined; assuming SQL table behaviors (like duplicates) always match theory.
Final Answer: Correct — a relation can be represented as a two-dimensional table of tuples and attributes