increased in a linear function

USAGE SUMMARY

The phrase "increased in a linear function" is not correct in standard English usage.
It is typically used in mathematical or scientific contexts to describe a relationship where a quantity increases at a constant rate. Example: "The temperature increased in a linear function over the course of the day, rising steadily by 2 degrees every hour."

⚠ May contain grammatical issues

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

Individual stemflow increased in a linear function with increasing rainfall depth, while it tended to increase with rain intensity when rain intensity was less than 2 mm h−1, but showed an opposite trend when rain intensity was greater than 2 mm h−1.

Agricultural and Forest Meteorology

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Herbicide interception increased in a linear relationship with increasing litter.

Rangeland Ecology & Management

First, activation in the VTA/SN and NA was greater for both conditions of Reward and Punishment than for Control, and activation in the insula selectively increased as a linear function of punishment.

Cerebral Cortex

We assumed that the standard deviation (accuracy) of movement error increased as a linear function of average speed.

Plosone

They found that the total score increased as a linear function of high individual item scores, a finding confirmed by Brann et al [ 63] in a subsequent study.

Health and Quality of Life Outcomes

In addition, the right insular cortex was identified as a punishment-selective region, where the activation increased as a linear function of punishment (Fig.  3).

Cerebral Cortex

In the simplest case, variance increases as a linear function of the mean, i.e., the variance is a constant multiplied by the mean, Var y) = kμ.

BMC Genomics

Payatakes et al. indicate that the pressure drop increase is a linear function of the extent of the particle deposition in the case of dilute suspension injection.

Journal of Petroleum Exploration and Production Technology

A perfect correlation between dN and dS would result in a linear function dN = k*dS if negative selection (dN/dS) did not increase over time (dS).

Biology Direct

Increase in size is also a linear function of shear rate at this stage.

Journal of Petroleum Exploration and Production Technology

The researchers suggest that this is because muscle power does not increase in a linear way.

The New York Times - Science

Expert writing Tips

Best practice

For clarity and grammatical correctness, replace "increased in a linear function" with "increased linearly" or "exhibited a linear increase". These alternatives are more direct and avoid potential misinterpretations.

Common error

Avoid using "function" unnecessarily; in many contexts, simply stating "increased linearly" is sufficient and more concise. Using "increased in a linear manner" also works well and is more grammatically sound.

Linguistic Context

The phrase "increased in a linear function" attempts to describe a relationship where an increase in one quantity results in a proportional, constant increase in another. However, according to Ludwig AI, this is not standard English usage. It's more appropriate to use "increased linearly" or "increased in a linear manner".

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, while "increased in a linear function" attempts to convey a direct, proportional increase, it's not considered standard English. Ludwig AI suggests that more grammatically correct and clearer alternatives such as "increased linearly" or "increased in a linear manner" should be used instead. Predominantly found in scientific contexts, clarity and precision are essential, and the recommended alternatives provide these qualities without sacrificing the intended meaning. Remember to opt for simpler, more direct phrasing to avoid ambiguity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

increased linearly

This alternative uses an adverb to directly express the linear increase, simplifying the original phrase.

exhibited a linear increase

This alternative adds a verb to emphasize the action of displaying a linear increase, making the description more explicit.

increased in direct proportion

This alternative specifies that the increase is directly proportional, highlighting the relationship between variables.

showed a linear relationship of increase

This rephrasing focuses on the relational aspect of the increase, with "relationship of increase" replacing "function".

increased at a constant rate

This alternative explains the linear increase as occurring at a constant rate, which is a core characteristic of linearity.

grew in a linear fashion

Replaces 'function' with 'fashion' to describe how something grows linearly, adding a stylistic variation.

rose linearly

A concise substitution using 'rose' to indicate increase and 'linearly' to specify the manner of increase.

escalated in a linear way

This alternative uses 'escalated' to denote increase, maintaining the linear aspect.

expanded linearly

This option uses 'expanded' to depict growth, keeping the 'linear' modifier to indicate the pattern.

increased according to a linear scale

Here, the phrase highlights that the increase follows a linear scale, emphasizing measurement and progression.

FAQs

What does it mean when something "increases in a linear function"?

While not standard English, "increased in a linear function" suggests that as one variable increases, another variable increases at a constant rate, forming a straight line when plotted on a graph. It's better to say it "increased linearly".

How can I correctly use the concept of linear increase in a sentence?

Instead of "increased in a linear function", use phrases like "increased linearly" or "exhibited a "linear increase"". For example, "The temperature increased linearly throughout the morning".

Is there a difference between "increased linearly" and "increased in a linear function"?

"Increased linearly" is grammatically correct and widely accepted. "Increased in a linear function", while understandable, is not standard English and should be avoided in formal writing. Use "increased linearly" or "increased in a "linear manner"" instead.

What are some alternatives to "increased in a linear function" that maintain a scientific tone?

In scientific writing, you can use phrases such as "showed a linear relationship", "increased in "direct proportion"", or "exhibited a linear increase". These are more precise and grammatically sound.