a mathematical framework

USAGE SUMMARY

The phrase "a mathematical framework" is correct and usable in written English.
It can be used when discussing a structured approach or system of concepts in mathematics or related fields. Example: "In order to solve complex problems, we need to establish a mathematical framework that can guide our analysis."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Modern statistical concepts and procedures derived from a mathematical framework.

Stanford University

Shannon showed the true power of these bits, however, by putting them into a mathematical framework.

The Guardian

VaR isn't one model but rather a group of related models that share a mathematical framework.

The New York Times - Magazine

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

Nature

Professor Venkatasubramanian's new book devises a mathematical framework for a fair free-market society.

Columbia University

We propose a mathematical framework to deal with the composition of heterogeneous reactive systems.

University of California, Berkeley

To rigorously quantify this they turned to information theory, a mathematical framework originally developed for telecommunication.

Harvard University

Game theory has provided a mathematical framework for addressing issues in many domains, including economics and distributed computing systems.

University of California, Berkeley

The analysis is based on a mathematical framework for approximately describing periodic points in the behavior of a model.

University of California, Berkeley

Bayesian probability, named after the 18th century mathematician Thomas Bayes, provides a mathematical framework for refining predictions about the world based on experience.

MIT Technology Review

Rational choice theory is a fundamental element of game theory, which provides a mathematical framework for analyzing individuals' mutually interdependent interactions.

Britannica

Expert writing Tips

Best practice

When using "a mathematical framework", clearly define its scope and the specific mathematical tools or techniques it incorporates to ensure clarity and avoid ambiguity.

Common error

Avoid using "a mathematical framework" as a vague substitute for specific methodologies. Always provide concrete details about the mathematical principles involved to maintain precision and credibility.

Linguistic Context

The phrase "a mathematical framework" functions as a noun phrase. It typically serves as the subject or object of a sentence, describing a structured approach or system of concepts used in mathematical analysis. Ludwig provides numerous examples demonstrating its usage in diverse contexts.

Expression frequency: Very common

Frequent in

Science

45%

Academia

30%

News & Media

15%

Less common in

Encyclopedias

3%

Wiki

1%

Formal & Business

6%

Ludwig's WRAP-UP

In summary, "a mathematical framework" is a commonly used noun phrase, especially in scientific and academic contexts, referring to a structured system of mathematical principles. Ludwig AI confirms its grammatical correctness and wide applicability. When using this phrase, ensure clarity by defining the specific mathematical tools and techniques involved. While alternatives like "a mathematical structure" or "a mathematical model" exist, the choice depends on the nuances you wish to convey. This phrase maintains a formal and scientific register, making it suitable for technical writing and discussions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a mathematical structure

Focuses on the arrangement and relationships of mathematical elements.

a mathematical model

Emphasizes the use of mathematics to represent a real-world system or phenomenon.

a mathematical system

Highlights the organized and interconnected nature of the mathematical concepts.

a mathematical foundation

Stresses the underlying principles and basis provided by mathematics.

a theoretical framework

Broader term that may or may not be mathematical, focusing on abstract concepts and relationships.

a quantitative framework

Highlights the use of numerical data and measurement.

a computational framework

Focuses on the use of computation and algorithms.

a formal system

Emphasizes the rigorous and rule-based nature of the mathematical construct.

a structured mathematical approach

Highlights the systematic and organized application of mathematical methods.

a mathematical architecture

Focuses on the design and organization of the mathematical system.

FAQs

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

You can use "a mathematical framework" to describe the structure and set of principles used to analyze or model a problem. For example: "This study provides "a mathematical framework" for understanding the spread of infectious diseases."

What's the difference between "a mathematical framework" and "a mathematical model"?

"A mathematical framework" is a broader term referring to the underlying structure and principles, while "a mathematical model" is a specific representation or simulation built upon that framework.

What can I say instead of "a mathematical framework"?

You can use alternatives like "a mathematical structure", "a mathematical system", or "a quantitative framework" depending on the specific context.

Is it appropriate to use "a mathematical framework" in formal writing?

Yes, "a mathematical framework" is suitable for formal writing, especially in scientific, academic, and technical contexts where precision and structured analysis are required.