What is a mathematical model?
Q: What is a mathematical model?
A: A mathematical model is a description of a system using mathematical concepts and language. It is used to explain natural phenomena, engineering disciplines, social sciences, and other fields of study.
Q: How is the process of building a mathematical model termed?
A: The process of building a mathematical model is termed mathematical modeling.
Q: What are some types of models that can be used?
A: Types of models include dynamical systems for systems that change, statistical models for finding patterns in large groups of measurements or data, differential equations to study how variables change over time, and game theoretic models for studying how many independent decision makers can interact.
Q: How does the quality of scientific fields depend on the accuracy of their theoretical models?
A: The quality of a scientific field depends on how well the theoretical mathematical models built on theory agree with results from repeatable experiments.
Q: What happens when theoretical mathematics do not match experimental measurements?
A: When theoretical mathematics do not match experimental measurements, scientists try to correct the model in order to better explain the facts.
Q: Can logical models be included in mathematical models?
A: Yes, logical models can be included in mathematical models.
