as function of

USAGE SUMMARY

The phrase "as function of" is not correct in standard written English.
The correct expression is "as a function of," which is used to indicate a relationship between two variables or factors. Example: "The output of the system varies as a function of the input parameters."

⚠ May contain grammatical issues

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

(b) IPCE as function of incident wavelength.

Nature

(c) The short circuit photo-current density as function of light intensity.

Nature

Figure 4: ξ Potential and pore size as function of pH.

Nature

We sought a method to probe with greater surface-specificity catalyst as function of reaction time.

Nature

Figure 2: Particle formation as function of time, copolymer concentration and solvent composition.

Nature

Degree of circular polarization of the emitted PL as function of excess energy, ΔΕ.

Nature

The switched area as function of time is plotted in Supplementary Fig. 1b.

Nature

The nonlinear parameters are quantified as function of the damage.

Composites Part B: Engineering

Simple two panel plot of CXO's altitude as function of time on Day 286.

Harvard University

Velocity as function of time is rate of change of Position with respect to time.

Princeton University

Acceleration as function of time is rate of change of Velocity with respect to time.

Princeton University

Expert writing Tips

Best practice

Always use the correct form, "as a function of", in formal writing to ensure grammatical accuracy. This phrase is essential for clearly expressing relationships between variables, especially in scientific and technical contexts.

Common error

A common mistake is to omit the article 'a', writing "as function of" instead of "as a function of." This omission is a grammatical error that should be avoided, especially in formal contexts.

Linguistic Context

The phrase "as function of" functions as a prepositional phrase intended to express a relationship or dependency between two variables. However, this form is grammatically incorrect. Ludwig AI highlights that the correct form is "as a function of".

Expression frequency: Very common

Frequent in

Science

66%

Academia

19%

News & Media

4%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "as function of" is commonly used but grammatically incorrect; the proper form is "as a function of". Despite its frequent appearance, particularly in scientific and academic writing, Ludwig AI signals that it is not standard English. To ensure accuracy and maintain a formal tone, always include the article 'a'. Alternatives like "depending on" or "in relation to" can be used in less formal contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

depending on

Replaces the more formal "as a function of" with a simpler, more direct expression of dependency.

changes with

Expresses a variation or alteration in one variable that occurs when another variable is altered.

in relation to

Indicates a connection or association between two or more things, similar to how one variable changes with another.

varies according to

Highlights that the changes are dependent and consistent with particular influencing parameter.

is determined by

Emphasizes the cause-and-effect relationship, clarifying that the mentioned item is directly influenced by another element.

as a result of

Highlights the consequential relationship where one factor is a direct outcome of another.

influenced by

Indicates that something is affected or modified by another factor, broadening the sense beyond a strict mathematical relationship.

is proportional to

States a direct relationship between two variables, where an increase in one results in a corresponding increase in the other.

conditional on

Expresses dependency but emphasizes the uncertainty of whether or not it exists.

subject to

Highlights that changes may be also constrained by another.

FAQs

What is the correct way to use "as a function of" in a sentence?

The correct way to use it is to show how one variable changes in relation to another. For example, "The efficiency of the solar cell is measured "as a function of" light intensity."

Is it always necessary to use "as a function of"?

No, you can use simpler alternatives like "depending on" or "in relation to", especially in informal contexts.

What does "as a function of" imply about the relationship between two variables?

It implies that there is a dependency between the variables, where the value of one variable is determined, at least in part, by the value of the other. Consider alternatives like "is determined by" or "is proportional to".

What are some common synonyms for "as a function of" in technical writing?

In technical writing, you can use synonyms such as "is proportional to", "is dependent on", or "varies according to", depending on the specific nuance you want to convey.