This paper presents a pseudocode algorithm for translating Entity-Relationship data models into (Elementary) Mathematical Data Model schemes. We prove that this algorithm is linear, solid, complete, and optimal. As an example, we apply this algorithm to an Entity-Relationship data model for a teaching sub-universe. We also provide the main additional features added to the implementation of this algorithm in MatBase, our intelligent knowledge and database management system prototype based on both the Entity-Relationship, (Elementary) Mathematical, and Relational Data Models.
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