rises linearly

USAGE SUMMARY

The phrase "rises linearly" is correct and usable in written English.
It can be used in contexts involving mathematics, physics, or any situation where a variable increases in a straight-line relationship with another variable. Example: "As the temperature increases, the pressure of the gas rises linearly according to the ideal gas law."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

18 human-written examples

The free surface level rises linearly with an increase in mass flow rate.

Journal of Nuclear Materials

The stress within the beam relaxes in the central part, then rises linearly to the free surfaces.

Acta Materialia

Moreover, the PL peak intensity rises linearly with the SRL thickness up to 6 nm and then declines slightly for the sample with 7 nm SRL.

Nanoscale Research Letters

The conductivity rises linearly with increasing surfactant concentration until it reaches a specific point beyond which conductivity changes its slope and increases linearly with lower slope.

Journal of Petroleum Exploration and Production Technology

Another important fact is that sensitivity rises linearly with the analyte concentration for all samples which can be seen in the graph of Figure 10d.

Nanoscale Research Letters

DB rises linearly with thickness from about −150°C for 25.2 μm ribbons to over 100°C for 42.1 μm ribbons produced under the same conditions.

Acta Materialia

Human-verified similar examples from authoritative sources

Similar Expressions

42 human-written examples

That is, are the water levels rising linearly, the same amount each year?

The Guardian

It also does this without having the computational cost rise linearly with the security level.

TechCrunch

The experimental results show power rising linearly for intrinsic layer thicknesses between 0 50 nm.

Chemistry Central Journal

Peak 4 is stable and rose linearly with increase of exposure levels.

Applied Radiation and Isotopes

The height of this peak rose linearly with increase of dose levels.

Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms

Expert writing Tips

Best practice

When describing experimental results or data trends, use "rises linearly" to clearly indicate a direct proportional relationship between two variables. For example, "The reaction rate rises linearly with increasing temperature."

Common error

Avoid assuming a linear relationship when the data might follow a different trend (e.g. exponential, logarithmic). Always verify the linearity with appropriate statistical methods before using the phrase "rises linearly".

Linguistic Context

The phrase "rises linearly" typically functions as a verb phrase, indicating a relationship between two variables. As Ludwig AI confirms, it indicates a gradual and sustained increase in one quantity directly and proportionally related to another. For example, 'The temperature rises linearly with time'.

Expression frequency: Uncommon

Frequent in

Science

95%

News & Media

3%

Formal & Business

2%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "rises linearly" is grammatically sound and primarily used within scientific and technical contexts to describe proportional relationships. Ludwig AI confirms its usability and correctness. While alternatives such as "increases at a constant rate" or "grows proportionally" exist, "rises linearly" provides a concise and specific description of a direct, consistent increase. Be sure to verify that the relationship truly is linear before using this phrase. While most examples of this phrase are extracted from scientific articles, the press also sometimes employs the phrase to describe changes in quantities.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

increases at a constant rate

This alternative specifies the rate of increase is constant. This emphasizes the stability and predictability of the increase.

grows proportionally

This indicates that the increase is directly related to another variable, maintaining a fixed ratio.

ascends in a straight line

This is a more visual description. Straight line is a metaphor for a constant unchanging trajectory of ascending thing.

exhibits a linear progression

This alternative focuses on the pattern of the progression, highlighting its linear nature.

follows a linear trend

This emphasizes the statistical aspect of the increase, suggesting it aligns with a linear model.

escalates linearly

This alternative implies a more rapid or significant increase compared to a simple "rise".

progresses linearly

This emphasizes the sequential nature of the increase, highlighting its gradual and consistent advancement.

develops linearly

This implies a process or system changing over a period of time in a linear manner.

climbs at a steady pace

This suggests a continuous but moderate increase, focusing on the consistency of the pace.

advances linearly

This suggests the increase may happen in steps but follow general linear trend.

FAQs

How can I use the phrase "rises linearly" in a sentence?

You can use "rises linearly" to describe a direct proportional relationship between two variables, such as "The cost of the project rises linearly with the number of hours worked."

What are some alternatives to "rises linearly"?

Consider using phrases like "increases at a constant rate", "grows proportionally", or "exhibits a linear progression" depending on the specific nuance you want to convey.

Is it always accurate to assume something "rises linearly"?

No, it's crucial to verify that the relationship between the variables is truly linear. Other relationships, like exponential or logarithmic, might be more appropriate.

What does it mean for something to "rise linearly"?

It means there's a direct proportional relationship between two quantities. As one quantity increases, the other increases at a constant rate, creating a straight line when graphed.