as a function of

USAGE SUMMARY

The phrase "as a function of" is correct and usable in written English.
This phrase is used to indicate a dependence of one thing on another. For example, "The success of the project hinged on the accuracy of the calculations as a function of the available data."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

We want to view a as a function of theta.

Massachusetts Institute of Technology

Tracing performance as a function of experience.

Nature

xA as a function of yA.

Massachusetts Institute of Technology

Examined and as a function of.

Massachusetts Institute of Technology

(a) Calculated HMTP (or ) as a function of the Plaser.

Nature

(a) Total photoluminescence intensity as a function of stage position.

Nature

(a) The measured cleavage energy as a function of temperature.

Nature

Themes were checked for differences as a function of group.

Nature

Predicted probability of infection as a function of antibody levels.

Nature

(c) Output power as a function of applied biaxial strain.

Nature

Stochasticity as a function of bet-hedger frequency.

Nature

Expert writing Tips

Best practice

When using "as a function of", ensure that the relationship between the variables is clear and that the context supports a formal or scientific tone.

Common error

While "as a function of" is appropriate for expressing complex dependencies, avoid using it when a simpler phrase like "depends on" would suffice for better clarity.

Linguistic Context

The phrase "as a function of" acts as a prepositional phrase indicating a relationship of dependence or covariation between two variables. It establishes that one element changes in relation to another, as shown in Ludwig's examples.

Expression frequency: Very common

Frequent in

Science

43%

Academia

38%

News & Media

13%

Less common in

Encyclopedias

4%

Formal & Business

2%

Social Media

0%

Ludwig's WRAP-UP

In summary, the phrase "as a function of" is a grammatically correct and frequently used prepositional phrase that indicates a relationship of dependence. It is most commonly found in scientific and academic contexts, as supported by Ludwig's examples and is deemed correct by Ludwig AI. While versatile, it is best suited for formal settings and technical discussions. For simpler relationships, consider using alternatives such as "depends on" or "is related to" to enhance clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is a function of

This alternative maintains similar mathematical implications, but with slight change of register.

dependent on

Focuses on the reliance of one variable on another.

contingent upon

Emphasizes the conditional nature of the relationship.

varies with

Highlights the covariation between two elements.

is a result of

Points to a cause-and-effect dynamic.

is determined by

Implies a definitive influence.

is proportional to

Suggests a direct relationship in magnitude.

changes with

Indicates a dynamic, evolving link.

subject to

Expresses conditionality or dependence.

is governed by

Highlights that one factor's course is impacted by other one

FAQs

How can I use "as a function of" in a sentence?

Use "as a function of" to show how one thing changes or depends on another, for example: "The output power is measured "as a function of" input voltage".

What are some alternatives to "as a function of"?

Depending on the context, you could use phrases like "depends on", "is related to", or "varies with" as alternatives to "as a function of".

Is "as a function of" formal or informal?

"As a function of" is generally considered a formal phrase, commonly used in scientific, academic, and technical contexts. Simpler alternatives might be better suited for informal settings.

When is it best to use "as a function of" over simpler alternatives?

Use "as a function of" when you want to emphasize a mathematical or precise relationship between two variables. For less technical contexts, phrases like "depends on" or "is affected by" may be more appropriate.