a mathematical structure

USAGE SUMMARY

The phrase "a mathematical structure" is correct and usable in written English.
It can be used when discussing concepts in mathematics, such as sets, groups, or spaces that have specific properties and relationships. Example: "In abstract algebra, a group is defined as a mathematical structure consisting of a set equipped with an operation that satisfies certain axioms."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

52 human-written examples

And is reality just a mathematical structure?

The Guardian - Books

A mathematical structure for storing data in a way that is nearly impossible to fake.

MIT Technology Review

As one of its pioneers commented, "String theory was too beautiful a mathematical structure to be completely irrelevant to nature".

The New Yorker

Mr. Samuelson provided a mathematical structure to study the impact of trade on different groups of consumers and workers.

The New York Times

This graphic describes a mathematical structure similar to but much smaller than E8.

Massachusetts Institute of Technology

A mathematical structure is called a lattice if it can be ordered in a specified way (see order).

Britannica

Human-verified similar examples from authoritative sources

Similar Expressions

8 human-written examples

The most powerful form of machine learning being used today, called "deep learning", builds a complex mathematical structure called a neural network based on vast quantities of data.

The Guardian - Tech

In many instances, standard mathematical solutions for common problems exist; many rather different applications (e.g., the line at a bank teller or the waiting room at a health clinic) have a similar mathematical structure.

BMC Medical Research Methodology

It seeks to make more transparent what that acceptance involves by trying to find a single mathematical structure that represents a physical spacetime system rather than the equivalence class of intertransformable structures licensed by Leibniz equivalence.

SEP

The novel knowledge-based matrices were derived using a general mathematical structure [ 24] from a non-redundant set of 621 3D-dimer complexes proposed by Glaser et al. [ 35].

BMC Genomics

An important feature of the algorithm is that it uses the expression of Boolean functions as polynomials, leading to a model search space that has a rich mathematical structure that can be exploited.

BMC Systems Biology

Expert writing Tips

Best practice

Use "a mathematical structure" when discussing models, frameworks, or systems that are defined by mathematical rules and operations.

Common error

Avoid using "a mathematical structure" when simpler terms like "model" or "system" would suffice. Overuse can make your writing sound unnecessarily complex.

Linguistic Context

The phrase "a mathematical structure" functions as a noun phrase, typically serving as the subject or object of a sentence. It identifies a specific type of structure characterized by mathematical properties and relationships. Ludwig AI indicates its correctness and usability.

Expression frequency: Very common

Frequent in

Science

50%

News & Media

25%

Encyclopedias

10%

Less common in

Academia

5%

Wiki

5%

Formal & Business

5%

Ludwig's WRAP-UP

In summary, the phrase "a mathematical structure" is a grammatically sound and frequently employed term, especially within scientific, academic, and technical contexts. Ludwig AI's analysis confirms its correctness and provides numerous examples showcasing its usage. Alternative phrases, such as "mathematical framework" or "mathematical model", can offer nuanced variations, but the core concept remains consistent. The key is to use the phrase judiciously, ensuring it adds clarity and precision to your writing rather than unnecessary complexity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical framework

Emphasizes the organization and support provided by the mathematics involved.

mathematical model

Highlights the use of math to represent a real-world system or phenomenon.

mathematical system

Focuses on the collection of interconnected mathematical elements and rules.

formal system

Broader term encompassing systems with defined rules and axioms, not necessarily numerical.

logical structure

Highlights the logical relationships and organization within a system or concept.

abstract structure

Emphasizes the theoretical and non-concrete nature of the structure.

theoretical framework

Focuses on the conceptual basis and guiding principles.

conceptual model

Focuses on the representation of ideas and relationships.

system of equations

Specifies a set of equations that are related to each other, typically solved simultaneously.

mathematical construct

Indicates something built or created using mathematical principles.

FAQs

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

You can use "a mathematical structure" to describe frameworks or models based on mathematical principles. For example, "The model must have "a mathematical structure" that reflects statics and dynamics."

What are some alternatives to "a mathematical structure"?

Alternatives include "mathematical framework", "mathematical model", or "mathematical system", depending on the specific context.

When is it appropriate to use "a mathematical structure" instead of "a model"?

"A mathematical structure" is more appropriate when you want to emphasize the underlying mathematical principles and relationships that define the model. "A model" is a more general term.

What does it mean to say that reality is "a mathematical structure"?

Saying that reality is "a mathematical structure" suggests that the universe and everything in it can be described and understood through mathematical concepts and relationships, as proposed by some physicists and philosophers.