as a function of one

USAGE SUMMARY

The phrase "as a function of one" is correct and usable in written English.
It is typically used in mathematical or scientific contexts to describe a relationship or dependency between variables, often indicating that one variable is dependent on another. Example: "The output of the system can be analyzed as a function of one variable, which allows us to simplify the calculations."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

31 human-written examples

The technique is based on evaluating the profile of SSR as a function of one flux, while the values for the remaining fluxes are optimized.

BMC Systems Biology

Besides, the pullout load was expressed as a function of one or two debonding crack lengths.

Engineering Fracture Mechanics

GC separation was investigated as a function of one (linear temperature ramp) or two (linear temperature ramp + the final hold temperature) variables.

Talanta

Using numerical procedures, breakthrough curves are calculated as a function of one diffusional and one equilibrium parameter for systems obeying equilibrium isotherms concave to the gas concentration axis.

Chemical Engineering Science

The potential of mean force simulations, widely applied in Monte Carlo or molecular dynamics simulations, are useful tools to examine the free energy variation as a function of one or more specific reaction coordinate(s) for a given system.

Methods in Enzymology

These results have many practical benefits in the design phase of a cosmic-ray detector as they permit instrument developers to make important trade studies in design parameters as a function of one of the science objectives.

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Human-verified similar examples from authoritative sources

Similar Expressions

29 human-written examples

The optical absorption matrix element as a function of one-dimensional (1D) wave vector k, and subband index μ of a single wall carbon nanotube is given analytically for linearly polarized light with polarization parallel to the nanotube axis.

Carbon

The sulfonate density as a function of one-step amine grafting time is shown in Figure 8.

Nanoscale Research Letters

To investigate the vertical variation of α, estimated values of α were plotted as a function of one-third wavelength (roughly corresponding to depth) at each CMP (Fig. 7a, b; Additional file 3: Figure S3a, b) because depth sensitivity of Rayleigh waves is concentrated at about one-third wavelength (e.g., Hayashi 2008).

Earth, Planets and Space

As the integral of a function of one variable over an interval results in an area, the double integral of a function of two variables calculated over a region results in a volume.

Britannica

More generally, functions arose as solutions of ordinary differential equations (involving a function of one variable and its derivatives) and partial differential equations (involving a function of several variables and derivatives with respect to these variables).

Britannica

Expert writing Tips

Best practice

When using "as a function of one", ensure that the relationship you are describing is clearly defined and that the dependency is explicit. This is particularly important in technical writing where precision is crucial.

Common error

Avoid embedding "as a function of one" within convoluted sentences. Simplicity enhances clarity. Instead of saying "The efficiency, which is understood as a function of one crucial parameter, dictates the system's overall performance", try "The efficiency dictates the system's overall performance and is a function of one crucial parameter."

Linguistic Context

The phrase "as a function of one" primarily functions as a prepositional phrase indicating dependency or relationship. As shown in the examples provided by Ludwig, it connects a variable or outcome to a single determining factor. Ludwig AI confirms that this phrase is usable in written English.

Expression frequency: Uncommon

Frequent in

Science

70%

Academia

15%

News & Media

15%

Less common in

Formal & Business

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "as a function of one" serves as a precise way to express how a variable or outcome relies on a single determining factor. Ludwig AI confirms its correctness and usability. Predominantly found in scientific and academic writing, as supported by the examples Ludwig presents, this phrase indicates a formal, explicit relationship. When incorporating it into your writing, prioritize clarity and avoid overly complex sentence structures. While alternatives such as "depending on one" or "in terms of one" exist, the phrase "as a function of one" offers a specific, technical precision suited for contexts where exactness is paramount.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

depending on one

This phrase directly replaces "as a function of" with "depending on", focusing on conditional reliance.

in terms of one

This alternative highlights the perspective or scope being considered.

based on one

This phrase suggests a foundation or starting point related to one.

related to one

This option offers a general association or connection without specifying the nature of the relationship.

as determined by one

This alternative emphasizes the means of ascertainment or influence.

contingent on one

This phrase emphasizes conditionality or reliance on a specific element.

proportional to one

This alternative indicates a direct correspondence or ratio.

governed by one

This option emphasizes the regulating or controlling effect.

in relation to one

This suggests a comparison or connection between different entities.

attributable to one

This phrase indicates cause, origin, or source of one.

FAQs

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

You can use "as a function of one" to describe how a variable changes in relation to another. For example, "The system's output can be analyzed "as a function of one variable", simplifying the calculations."

What does "as a function of one" mean?

It means that the value or behavior of something is dependent on, or determined by, a single factor. It implies a direct relationship where changes in that single factor will predictably affect the original thing being measured.

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

Alternatives include "depending on one", "in terms of one", or "based on one", depending on the specific nuance you wish to convey.

Is it correct to use "as a function of one" in formal writing?

Yes, "as a function of one" is perfectly acceptable in formal writing, especially in scientific or technical contexts. However, ensure that the context warrants its use and that the relationship being described is clear and precise.