mathematical framework that

USAGE SUMMARY

The phrase "mathematical framework that" is correct and usable in written English.
You can use it when discussing a theoretical structure or system that is based on mathematical principles, often in academic or technical contexts. Example: "The researchers developed a mathematical framework that allows for better predictions of climate change impacts."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

56 human-written examples

The ODEs provide a mathematical framework that describes the variation of viral concentration as a function of time.

Nature

We present a mathematical framework that combines extinction colonization dynamics with the dynamics of patch succession.

Journal of Theoretical Biology

"We have elected," declared Tyler Winklevoss recently, "to put our money and faith in a mathematical framework that is free of politics and human error".

The New York Times

This year's physics laureates are theorists, starting in the 1970s, laid the foundations of the mathematical framework that scientists now rely on to explain weird electrical properties that are being observed in certain materials.

The Guardian

For one, the latest result has the Higgs decaying into photons 30 times more often than is predicted by the Standard Model, the mathematical framework that describes all known matter.

The Guardian

His talk will focus on M-theory, a broad mathematical framework that encompasses string theory, which is regarded by many physicists as the best hope yet of developing a theory of everything.

The Guardian

The simplest way to do this was to rediscover what is already known of the Standard Model (SM), a 40-year-old mathematical framework that links all of nature's fundamental forces bar gravity, and the 16 previously observed elementary particles.

The Economist

Human-verified similar examples from authoritative sources

Similar Expressions

4 human-written examples

Here we describe a mathematical framework that incorporates DCE-MRI data into a tumour growth model to predict therapeutic response.

British Journal of Cancer

We introduce a new mathematical framework that uses differential measurements to achieve high calibration accuracy.

Ultrasound in Medicine & Biology

Random walk is a useful mathematical framework that provides a systematic way to measure importance of nodes in a network.

Journal of Cheminformatics

"What we have to do is to devise a new mathematical framework that allows us to dig into this mystery," he told BBC News.

BBC

Expert writing Tips

Best practice

When using the phrase "mathematical framework that", ensure that the subsequent text clearly explains the framework's purpose, components, and how it is applied in the given context. This helps the reader understand the practical implications and value of the framework.

Common error

Avoid describing the "mathematical framework that" in purely abstract terms without providing concrete examples or applications. This can make the explanation difficult to understand and less impactful.

Linguistic Context

The phrase "mathematical framework that" functions as a noun phrase introducing a relative clause. It specifies a particular type of framework characterized by its mathematical nature. Ludwig AI confirms its proper usage and grammatical correctness.

Expression frequency: Very common

Frequent in

Science

66%

News & Media

19%

Academia

15%

Less common in

Ludwig's WRAP-UP

The phrase "mathematical framework that" is a grammatically sound and frequently used expression, especially in scientific, academic, and news contexts. As Ludwig AI highlights, it's used to introduce a specific model or structure based on mathematical principles. When using this phrase, clarity and specificity are key; avoid overly abstract explanations. Consider alternatives like "theoretical model that" or "analytical structure that" for nuanced communication. Remember that while both "framework" and "model" are correct, "framework" suggests a broader foundational structure.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

theoretical model that

Emphasizes the abstract and conceptual nature of the framework.

conceptual basis that

Highlights the foundational and explanatory nature of the framework.

analytical structure that

Focuses on the structured approach used for analyzing data or problems.

quantitative model that

Specifies that the model involves numerical data and calculations.

computational model that

Highlights the use of computation in the model's framework.

statistical model that

Focuses on the use of statistical methods within the framework.

axiomatic system that

Highlights the foundation of the framework upon a set of self-evident truths or axioms.

logical structure that

Emphasizes the logical and coherent organization of the framework.

formal system that

Highlights the use of a defined set of symbols and rules.

mathematical construct that

Indicates something built or invented through mathematical processes.

FAQs

How can I use "mathematical framework that" in a sentence?

You can use "mathematical framework that" to introduce a model or structure used for analysis or prediction, for example: "The research introduces a "mathematical framework that" predicts stock market fluctuations".

What's a good alternative to "mathematical framework that"?

Alternatives include "theoretical model that", "conceptual basis that", or "analytical structure that", depending on the specific context.

Is it better to say "mathematical framework that" or "mathematical model that"?

Both "mathematical framework that" and "mathematical model that" are correct. "Framework" implies a broader, more foundational structure, while "model" suggests a more specific representation. The choice depends on the level of abstraction you want to convey.

How does a "mathematical framework that" differ from a "mathematical theory that"?

A "mathematical framework that" usually describes a set of tools and concepts, while a "mathematical theory that" is a more developed and tested body of knowledge with established principles. A framework might be used to develop or test a theory.