increases linearly

USAGE SUMMARY

"increases linearly" is correct and usable in written English.
You can use it to describe something that increases in a steady, equal rate. For example, "As the temperature increases, the volume of the liquid increases linearly."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

57 human-written examples

After reaching ssthresh,cwnd increases linearly.

EURASIP Journal on Wireless Communications and Networking

(i_{{L_{text{f}} }}) increases linearly.

Journal of Modern Power Systems and Clean Energy

Power increases linearly with clock-rate and exponentially with voltage.

Forbes

Particle velocity also increases linearly with the gas velocity.

Powder Technology

Thus, its complexity increases linearly with the number of PRs.

EURASIP Journal on Wireless Communications and Networking

The droplet volume increases linearly during growth (Fig. 6 c).

Nanoscale Research Letters

such that the weighting increases linearly with i.

EURASIP Journal on Image and Video Processing

The execution time increases linearly with the graph size.

Journal of Modern Power Systems and Clean Energy

which increases linearly with the value of Dhop.

EURASIP Journal on Wireless Communications and Networking

This, however, is acceptable because the complexity increases linearly.

EURASIP Journal on Wireless Communications and Networking

The conductivity of pure SDC increases linearly with temperature.

Nano-Micro Letters

Expert writing Tips

Best practice

When describing the relationship between two variables, ensure that both are clearly defined to avoid ambiguity. For example, specify "the execution time increases linearly with the graph size" rather than just "the execution time increases linearly".

Common error

Avoid assuming a linear relationship between variables without empirical evidence or theoretical support. Non-linear relationships are common, so always validate the assumption of linearity with data.

Linguistic Context

The phrase "increases linearly" functions as a verb phrase that typically modifies a noun or pronoun to describe how a quantity changes in relation to another. Ludwig AI confirms that it is correct and usable in written English.

Expression frequency: Very common

Frequent in

Science

88%

News & Media

6%

Formal & Business

6%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "increases linearly" is a grammatically sound and frequently used verb phrase, primarily in scientific and formal contexts. As indicated by Ludwig, it describes a direct proportional relationship where one variable changes at a constant rate relative to another. While it's important to ensure the assumption of linearity is validated, this phrase effectively communicates a consistent rate of increase. Its frequent appearance in academic journals and research papers confirms its suitability for technical writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

grows proportionally

Replaces "linearly" with "proportionally", emphasizing the direct relationship in growth.

expands uniformly

Uses "expands" instead of "increases", and "uniformly" to indicate a consistent rate.

escalates steadily

"Escalates" implies a gradual increase, and "steadily" highlights the consistent pace.

progresses in direct relation

Rephrases the concept to highlight the direct connection between variables.

develops at a constant rate

Focuses on the rate of development being constant, implying a linear progression.

ascends in a straight line

Visually describes the increase as a straight line, emphasizing linearity.

rises at a stable pace

Uses "rises" for increase and "stable pace" to convey the consistency.

advances incrementally

Highlights the gradual nature of the increase, occurring in small increments.

ramps up consistently

"Ramps up" suggests a gradual increase, and "consistently" emphasizes the uniformity.

scales predictably

Indicates that the increase follows a predictable pattern, implying linearity.

FAQs

How can I use "increases linearly" in a sentence?

You can use "increases linearly" to describe a direct proportional relationship. For example, "The cost "increases linearly" with the amount of material used."

What does it mean when something "increases linearly"?

It means that for every unit increase in one variable, there is a constant increase in another variable. The relationship can be represented by a straight line on a graph.

What are some alternatives to saying "increases linearly"?

You can use alternatives such as "grows proportionally", "rises steadily", or "develops at a constant rate" depending on the context.

How is a linear increase different from an exponential increase?

A linear increase means the rate of change is constant, while an exponential increase means the rate of change itself is increasing over time.