a function defines

USAGE SUMMARY

The phrase "a function defines" is correct and usable in written English.
It can be used in mathematical or programming contexts to describe how a function specifies or determines certain values or behaviors. Example: "In mathematics, a function defines the relationship between input and output values."

✓ Grammatically correct

Academia

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

The specification of a function defines what the function does.

Cornell University

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

That's why, where there's already quality, quantity is a virtue in itself: quality isn't static, it's a function defined by change.

The New Yorker

First, the entire tree can be pre-allocated and a function defined to map each position to some node entry.

Stanford University

Letcbe a function defined on the unit circle with Fourier coefficients {cn}∞n=−∞.

Journal of Functional Analysis

For a function defined on as (46).

Journal of Inequalities and Applications

where is a function defined on.

Journal of Inequalities and Applications

Let be a function defined on.

Advances in Difference Equations

Let be a function defined by (2.2).

Journal of Inequalities and Applications

and let be a function defined on a neighborhood of.

Boundary Value Problems

Let f be a function defined on ([a, b]).

Boundary Value Problems

Let x be a function defined on ([a,b]).

Boundary Value Problems

Expert writing Tips

Best practice

When using the phrase "a function defines", ensure the context clearly specifies what the function is defining, whether it's a relationship, a behavior, or a set of values.

Common error

Avoid using "a function defines" without specifying the domain or scope of the definition. Be precise about what aspects the function is defining to prevent ambiguity.

Linguistic Context

The phrase "a function defines" acts as a declarative statement describing the action or role of a function. It's used to specify what a function does or determines. This is supported by Ludwig, confirming its usability in defining functions.

Expression frequency: Rare

Frequent in

Science

60%

Academia

20%

News & Media

20%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "a function defines" is a grammatically correct and usable expression, primarily found in technical and academic contexts. According to Ludwig, its purpose is to clearly and concisely describe the action or role of a function, often in mathematical or programming contexts. While less frequent, alternatives such as "a function specifies" or "a function determines" can provide nuanced differences in meaning. Ensure to specify the domain or scope of the definition when using this phrase to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a function specifies

Replaces "defines" with "specifies", indicating a more precise determination.

a function determines

Substitutes "defines" with "determines", emphasizing the function's role in establishing a result.

a function establishes

Uses "establishes" instead of "defines", highlighting the function's role in setting up a relationship.

a function dictates

Replaces "defines" with "dictates", suggesting a more forceful or rigid determination by the function.

a function prescribes

Uses "prescribes" to indicate that the function sets out rules or guidelines.

a function elucidates

Replaces "defines" with "elucidates", implying the function clarifies or explains something.

a function characterizes

Uses "characterizes" instead of "defines", focusing on the function's role in describing unique aspects.

a function represents

Substitutes "defines" with "represents", indicating the function acts as a symbol or model.

a function delineates

Replaces "defines" with "delineates", suggesting the function sets boundaries or outlines.

a function governs

Uses "governs" instead of "defines", indicating the function controls or regulates a process.

FAQs

How can I use "a function defines" in a sentence?

You can use "a function defines" to explain the purpose or role of a function in mathematics, programming, or other technical contexts. For example, "In mathematics, "a function defines" a specific relationship between input and output values."

What are some alternatives to "a function defines"?

Alternatives include "a function specifies", "a function determines", or "a function establishes", depending on the specific nuance you wish to convey.

Is it better to say "a function defines" or "a function is defined by"?

Both phrases are grammatically correct, but "a function defines" emphasizes the action the function performs, while "a function is defined by" focuses on the elements that characterize the function.

In what contexts is "a function defines" most appropriate?

"A function defines" is most appropriate in technical writing, such as in mathematics, computer science, or engineering, where precise definitions are essential.