mathematical models

USAGE SUMMARY

The phrase "mathematical models" is correct and usable in written English.
You can use it when discussing theoretical frameworks or representations that use mathematical concepts to describe real-world phenomena. Example: "Researchers often rely on mathematical models to predict climate change impacts on various ecosystems."

✓ Grammatically correct

Academia

News & Media

Science

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

Mathematical models of running.

Stanford University

Economic forecasting > Mathematical models.

Stanford University

Porous materials > Mathematical models.

Stanford University

Decision making > Mathematical models.

Stanford University

Animal nutrition > Mathematical models.

Stanford University

"Our car designs are all mathematical models.

The New York Times

In other words, like mathematical models.

The Guardian - Books

"They're based on very simplistic mathematical models.

The New York Times

Mathematical models of cell function.

Stanford University

Mathematical Models and Medical Decisions.

Stanford University

Wells > Fluid dynamics > Mathematical models.

Stanford University

Expert writing Tips

Best practice

Use "mathematical models" when you want to highlight the quantitative aspect of an analysis or prediction.

Common error

Avoid treating "mathematical models" as infallible predictors. Always validate model outputs against real-world data and acknowledge their limitations. Failing to do so can lead to inaccurate conclusions and poor decision-making.

Linguistic Context

The phrase "mathematical models" primarily functions as a noun phrase, often serving as the subject or object of a sentence. It refers to representations or abstractions of real-world systems using mathematical concepts and equations, according to Ludwig.

Expression frequency: Very common

Frequent in

Academia

30%

News & Media

30%

Science

40%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "mathematical models" is a grammatically correct and widely used noun phrase referring to representations of systems using mathematical concepts. As Ludwig AI confirms, it commonly appears in academic, scientific, and news contexts for describing, explaining, or predicting phenomena. While highly valuable, models should be validated with real-world data to avoid overreliance on theoretical outputs. Explore "quantitative models", "statistical models", or "computational models" as alternatives to add nuance to your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

quantitative models

Focuses specifically on the use of numerical quantities in the models.

statistical models

Emphasizes the use of statistical methods for creating models.

computational models

Highlights the use of computation to build and simulate models.

predictive models

Stresses the ability of the models to forecast future outcomes.

simulation models

Focuses on models used for simulating real-world processes.

theoretical frameworks

Emphasizes the underlying theoretical structure of the models.

analytical models

Highlights the use of analytical techniques in creating the models.

economic models

Specific to economic applications.

scientific models

Emphasizes its application to science.

computer simulations

Focuses on the use of computers to simulate models.

FAQs

How are "mathematical models" used in research?

"Mathematical models" are used to represent and simulate real-world phenomena, allowing researchers to test hypotheses, make predictions, and gain insights into complex systems. They are particularly useful when direct experimentation is difficult or impossible.

What are some limitations of using "mathematical models"?

Limitations include oversimplification of complex systems, reliance on assumptions that may not hold true, and sensitivity to input data. Additionally, the accuracy of a model's predictions depends on the quality and completeness of the data used to build it.

What's the difference between "statistical models" and "mathematical models"?

"Mathematical models" encompass a broader range of modeling techniques, including those based on differential equations, whereas "statistical models" specifically use statistical methods and data analysis to create a model. Often the terms are used interchangeably, however.

In what fields are "mathematical models" most commonly used?

"Mathematical models" are widely used in physics, engineering, economics, biology, and computer science, among others. They provide a framework for understanding and predicting behavior in these diverse fields.