as a function of quantity

USAGE SUMMARY

The phrase "as a function of quantity" is correct and usable in written English.
It is typically used in mathematical, scientific, or economic contexts to describe how one variable changes in relation to the quantity of another variable. Example: "The cost of production increases as a function of quantity produced, indicating economies of scale."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

Based on the experimental results, a correlation for F2 as a function of quantity of water (load) is proposed.

Renewable Energy

Figure 2e shows the variation of conversion yield for the 3 different oils as a function of quantity of added water and reaction time at constant enzyme concentration (6.5 %) and reaction temperature (45 °C).

AMB Express

However, in the presence of PRL, pGL4-CISH luciferase activity increased as a function of quantity of transfected Stat5a (Fig 4D).

BMC Biotechnology

Human-verified similar examples from authoritative sources

Similar Expressions

57 human-written examples

The reduction to surface form facilitates the evaluation of individual stability growth rates as each becomes a function of quantities that are distributed along the chamber's boundaries.

Journal of Sound and Vibration

Mathematical formula was developed for concrete strength as a function of CA quantity that ranges from the standard quantity to null, and another formula was developed for the quantity of FA as a function of compressive strength.

Construction and Building Materials

If before the unification we could express each quantity as a function of four quantities (two temperatures and two other quantities—Table 3), now we can express each quantity as a function of three variables: the speed w and the two internal temperatures.

International Journal of Energy and Environmental Engineering

In Figure 1, we included the two-dimensional plots demonstrating the scaling for [IL-2]max as a function of antigen quantity for different numbers of cells, or as a function of population size for varied quantities of input antigen.

eLife

In their research suppliers offered price breaks as a function of order quantity.

Journal of Industrial Engineering International

The stability of the passive film was investigated as a function of the quantity of oxide generated.

Electrochimica Acta

For further experimental investigations, a correlation is proposed to predict laminar burning velocity as a function of the quantity of O2 and CO2 in the gas mixture.

Combustion and Flame

The optical study reveals shift in the absorption edge towards the higher wavelengths, i.e. the band gap decreases as a function of 'x' (quantity of selenium in the bath).

Materials Science in Semiconductor Processing

Expert writing Tips

Best practice

When using "as a function of quantity", ensure that the relationship you're describing is clear and quantifiable. Specify the units of measurement for both variables to enhance clarity.

Common error

Avoid using "as a function of quantity" when the relationship is not directly proportional or easily modeled mathematically. Ensure that there aren't other significant factors influencing the relationship that you are not considering.

Linguistic Context

The phrase "as a function of quantity" serves as an adverbial phrase modifying a verb. It indicates that the value or behavior of something is determined or influenced by the amount of something else. As Ludwig AI shows, it is often used in scientific contexts.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "as a function of quantity" is a grammatically correct and usable expression, albeit relatively rare in general usage. As Ludwig AI confirms, its primary function is to denote a mathematical or scientific relationship where one variable changes depending on the amount of another. This makes it most suitable for formal and scientific contexts. When using this phrase, ensure the relationship you are describing is clear, quantifiable, and not an oversimplified representation of more complex interactions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

dependent on the quantity

Replaces "as a function of" with "dependent on", emphasizing the reliance of one variable on another's amount.

proportional to the quantity

Indicates a direct relationship where one variable increases or decreases in tandem with the quantity of another.

related to the quantity

A more general term indicating an association between variables and amount without specifying the nature of the relationship.

determined by the quantity

Highlights that the quantity of one variable is a key factor in establishing the value of another.

a result of the quantity

Focuses on the quantity as a direct cause or antecedent condition for a particular outcome.

governed by the quantity

Suggests that the quantity sets limits or rules for how another variable can behave.

conditioned by the quantity

Implies that one variable's value is subject to the conditions set by the quantity of another.

varies with the quantity

Emphasizes that as the quantity changes, the other variable also changes in a corresponding manner.

a consequence of the quantity

Similar to "a result of", but with a stronger implication that the quantity is a significant antecedent.

responsive to the quantity

Highlights the sensitivity of one variable to changes in the quantity of another.

FAQs

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

Use "as a function of quantity" to describe how a variable changes in relation to the amount of another variable. For example, "The reaction rate increases "as a function of quantity" of the catalyst added."

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

You can use alternatives like "dependent on the quantity", "proportional to the quantity", or "related to the quantity" depending on the context.

Is "as a function of quantity" formal or informal language?

"As a function of quantity" is generally considered formal language and is suitable for academic, scientific, and technical writing.

In what fields is "as a function of quantity" commonly used?

This phrase is commonly used in fields like mathematics, physics, chemistry, engineering, and economics to describe relationships between variables. You'll find it especially in scientific reports and textbooks.