The term "theoretical value" typically refers to a value that is derived or calculated based on a theoretical model or framework, rather than being directly measured or observed in empirical experiments or real-world data.
In scientific and mathematical contexts, theoretical values are often used as a benchmark or reference point for comparison with experimental or observed values. They can be obtained through mathematical equations, simulations, or theoretical predictions based on established principles, laws, or models.
Theoretical values are valuable for several reasons:
Prediction: They allow scientists and researchers to make predictions about how a system should behave under specific conditions, even before conducting experiments.
Explanation: Theoretical values help in explaining phenomena and understanding the underlying mechanisms or relationships between variables.
Verification: They can be used to verify experimental results or validate the accuracy of measurement techniques. If the observed values closely match the theoretical values, it lends support to the validity of the theory or model.
Comparison: Theoretical values enable comparisons between different theoretical models or hypotheses, aiding in the selection or refinement of the most accurate or applicable one.
However, it's important to note that theoretical values are subject to assumptions, simplifications, and limitations of the theoretical framework or model used. They are also dependent on the accuracy of the input data and the quality of the mathematical or computational methods employed. Therefore, experimental verification and empirical data remain crucial for refining and validating theoretical values.