set of equations

USAGE SUMMARY

The phrase "set of equations" is correct and usable in written English.
It is typically used in mathematical contexts to refer to a collection of equations that are considered together, often to find solutions that satisfy all equations simultaneously. Example: "To solve the problem, we need to analyze the set of equations that describe the system's behavior."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

57 human-written examples

Ever since Newton, scientists have dreamed of capturing the universe in a neat set of equations.

The New York Times - Magazine

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

As final set of equations we have We note that FGFs are not part of the core patterning mechanism.

Nature

Procedures and a full set of equations are described.

Chemical Engineering Science

The set of equations is solved by the relaxation technique.

Journal of Computational Physics

One set of equations described the gravitational draining of liquid from the bubble walls, which thin out until they rupture.

University of California, Berkeley

Another set of equations dealt with the flow of liquid inside the junctions between the bubble membranes.

University of California, Berkeley

Expert writing Tips

Best practice

When using "set of equations", clearly define the variables and the relationships they represent for better clarity.

Common error

Avoid presenting a "set of equations" without properly explaining their context and limitations. Always acknowledge the assumptions and simplifications made in the model.

Linguistic Context

The phrase "set of equations" functions as a noun phrase, acting as the subject or object in a sentence. It identifies a group of mathematical expressions. As Ludwig AI confirms, this term is appropriate for describing mathematical relationships.

Expression frequency: Very common

Frequent in

Science

50%

News & Media

24%

Academia

15%

Less common in

Encyclopedias

3%

Wiki

1%

Formal & Business

7%

Ludwig's WRAP-UP

In summary, "set of equations" is a grammatically sound and frequently employed phrase, primarily within scientific, news, and academic domains. Ludwig AI validates its correctness and offers varied examples demonstrating its use across multiple contexts. While it's often interchangeable with "system of equations", the latter emphasizes the interconnected nature and simultaneous resolution of its components. When using "set of equations", clarity is paramount; properly defining the variables and relationships they represent will enhance understanding and prevent oversimplification of the models being presented.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

system of equations

Emphasizes the interconnectedness and simultaneous solving of the equations.

equation set

A more concise phrasing of the original term.

collection of equations

A more general term, simply referring to a group of equations.

formula set

Similar to equation set, often used in scientific contexts.

governing equations

Implies that the equations dictate the behavior of a system.

family of equations

Suggests a group of equations with similar properties or forms.

group of equations

Similar to collection but can imply a more structured relationship.

model equations

Highlights the role of equations in forming a model.

mathematical model

Refers to the broader concept of using equations to represent a real-world system.

mathematical description

Broader term that encompasses equations and other mathematical tools.

FAQs

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

You can use "set of equations" to describe a collection of equations that are related to each other, such as "To solve this physics problem, we need to analyze the "set of equations" that govern motion".

What's the difference between "set of equations" and "system of equations"?

"Set of equations" is a general term for a group of equations, while "system of equations" specifically refers to a collection of equations that are solved together to find a common solution.

What are some alternatives to "set of equations"?

Depending on the context, you can use alternatives like "collection of equations", "family of equations", or "governing equations".

In what fields is the phrase "set of equations" commonly used?

The phrase "set of equations" is commonly used in fields like physics, engineering, economics, and computer science, where mathematical models are used to describe and analyze complex systems.