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This lecture explores the concept of data representation, focusing on models and systems. It delves into understanding data as a representation of real-world characteristics, the connection between data and models, and the evaluation of models. The lecture also covers mathematical models, data structures, and the different levels of modeling. Additionally, it discusses the representation of conceptual models in information systems, the notion of data at various levels, and the importance of accurate representations. Various examples and discussions on managing data and the systems used for this purpose are also presented.