a set of equations

USAGE SUMMARY

The phrase "a set of equations" is correct and usable in written English.
It can be used when referring to multiple mathematical equations that are considered together, often in the context of solving problems or analyzing relationships. Example: "To find the solution, we need to solve a set of equations that describe the system's behavior."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

The world is now reduced to a set of equations and battle positions.

The New York Times - Arts

A set of equations representing the model was simultaneously solved.

Energy Conversion and Management

The last confirmed breakthrough in particle physics was a set of equations known as the Standard Model.

The New Yorker

To summarise, a manifold is a strange (possibly high-dimensional) shape that can be described by a set of equations.

The Guardian

A set of equations that has a common solution is called a system of simultaneous equations.

Encyclopedia Britannica

Linear algebra is a method for solving a set of equations — a vital skill for scientists and engineers in training.

The New York Times

We view the problem as computation of a "greatest solution" of a set of equations.

Information Processing Letters

Structural approaches typically operate on models described by a set of equations.

IFAC Proceedings Volumes

So every time you get on a commercial aircraft, you are entrusting your life to a set of equations, albeit supported by a lot of experimental observations.

The New Yorker

The method has been tested on a set of equations representative for reservoir simulation.

Journal of Computational Physics

A set of equations along with boundary conditions was derived, and solutions were obtained analytically.

Journal of Sound and Vibration

Expert writing Tips

Best practice

When describing a mathematical model or simulation, use "a set of equations" to clearly indicate that multiple equations are being considered together to represent the system's behavior.

Common error

Avoid using "a set of equations" when referring to a single equation or formula. Ensure that you are genuinely discussing multiple related equations, not a single isolated expression.

Linguistic Context

The phrase "a set of equations" functions as a noun phrase that serves to identify a specific group of mathematical expressions. As Ludwig AI confirms, it's grammatically correct. The examples show this phrase used across various domains.

Expression frequency: Very common

Frequent in

Science

60%

News & Media

20%

Encyclopedias

10%

Less common in

Formal & Business

5%

Wiki

3%

Social Media

2%

Ludwig's WRAP-UP

In summary, "a set of equations" is a grammatically sound and frequently used phrase, especially in scientific, academic, and technical domains. As Ludwig AI confirms, it accurately describes a collection of mathematical relationships used to model systems and solve problems. While alternatives such as ""a group of equations"" or ""a system of equations"" exist, it's crucial to ensure that the context genuinely involves multiple equations and not a single one. This phrase is most commonly encountered in scientific contexts, news media, and encyclopedias, reflecting its role in explaining complex models and theories.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a group of equations

Replaces "set" with "group", emphasizing a collection of equations.

a system of equations

Substitutes "set" with "system", highlighting the interconnectedness of the equations.

a collection of equations

Uses "collection" instead of "set", focusing on the assembled nature of the equations.

a series of equations

Replaces "set" with "series", suggesting a sequential or ordered arrangement of the equations.

a family of equations

Employs "family" instead of "set", implying a related or similar group of equations.

a cluster of equations

Uses "cluster" to describe the equations, implying a close grouping or arrangement.

a batch of equations

Replaces "set" with "batch", suggesting a quantity of equations considered together.

a compilation of equations

Substitutes "set" with "compilation", highlighting the assembled nature from various sources.

an ensemble of equations

Uses "ensemble" instead of "set", indicating a group working together or having a common purpose.

a matrix of equations

Replaces "set" with "matrix", suggesting the equations are structured or arranged in a table-like form.

FAQs

How can I use "a set of equations" in a sentence?

You can use "a set of equations" to describe the mathematical relationships in a system. For example, "The model is defined by "a set of equations" that represent the physical processes involved".

What are some alternatives to "a set of equations"?

Alternatives include "a group of equations", "a system of equations", or "a collection of equations" depending on the context.

What does "a set of equations" typically represent in scientific contexts?

"A set of equations" often represents a mathematical model that describes the behavior of a system or process, linking different variables and parameters.

Is it appropriate to use "a set of equations" in formal writing?

Yes, "a set of equations" is appropriate for formal writing, especially in scientific, technical, and academic contexts where mathematical descriptions are common.