rise linearly

USAGE SUMMARY

The phrase "rise 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 will rise linearly according to the ideal gas law."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

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

TechCrunch

The patient dose will rise significantly with the kVp (kVpeak) and the patient dose will rise linearly with the mAs.

Insights into Imaging

After the laser threshold current is surpassed, it's optical power (middle) and output noise levels (right) rise linearly with current.

EJNMMI Physics

As V s-d increases, photoresponsivity (S) and gain (G) rise linearly and saturate at V s − d  = 2V.

Nanoscale Research Letters

From the inset picture in Figure 3, it can be found that the ionic currents rise linearly with the concentrations of electrolyte solution.

Nanoscale Research Letters

The membership degree is usually assumed to rise linearly from zero (for the least satisfactory value) to one (for the most satisfactory value).

Journal of Modern Transportation

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

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

The Guardian

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

Chemistry Central Journal

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

Journal of Nuclear Materials

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

To enhance clarity in technical writing, provide specific data points or equations to illustrate how a quantity is "rise linearly" with another, ensuring readers can visualize and verify this relationship.

Common error

Avoid using "rise linearly" when the relationship between variables is not actually linear. Always verify the relationship with data or a mathematical model before using this phrase, to prevent misrepresentation.

Linguistic Context

The phrase "rise linearly" functions as an adverbial phrase modifying a verb. It describes the manner in which something increases, specifying that the increase occurs at a constant rate, creating a straight-line relationship as confirmed by Ludwig AI.

Expression frequency: Common

Frequent in

Science

80%

News & Media

13%

Formal & Business

7%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "rise linearly" is a common and grammatically correct expression, predominantly used in scientific and technical writing to describe a direct proportional increase between two variables. Ludwig AI confirms its proper usage in contexts where precise quantification is essential. Alternatives include phrases like "increase at a constant rate" or "grow proportionally", although these may lack the specific technical connotation of "rise linearly". When using this phrase, ensure that the relationship is indeed linear, supported by data or mathematical models. The phrase is most frequently found in scientific publications, emphasizing its role in formal and technical communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

increase in direct proportion

Highlights the direct proportional relationship between two variables.

increase at a constant rate

Focuses on the rate of change rather than the linear relationship itself.

scale linearly

Highlights that increase in size or amount happens at a constant rate.

grow proportionally

Emphasizes the proportional relationship between two quantities.

ascend linearly

Replaces "rise" with "ascend", maintaining the linear connotation but with a slightly more formal tone.

climb steadily

Uses "climb" to replace "rise", suggesting continuous and consistent progress.

escalate linearly

Suggests a more rapid or significant increase compared to a simple linear rise.

progress linearly

Focuses on the advancement or development in a linear fashion.

advance linearly

Emphasizes the forward movement or progression in a linear manner.

develop linearly

Emphasizes the gradual evolution or formation in a linear pattern.

FAQs

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

You can use "rise linearly" to describe a direct proportional increase. For example: "The temperature "rises linearly" with the increase in altitude".

What are some alternatives to saying "rise linearly"?

Alternatives include phrases like "increase at a constant rate", "grow proportionally", or "increase in direct proportion", depending on the specific nuance you want to convey.

Is it more accurate to say "rise linearly" or "increase exponentially"?

"Rise linearly" indicates a constant rate of increase, whereas "increase exponentially" signifies an accelerating rate of increase. The choice depends on the actual relationship between the variables being described.

What does it mean when something "rises linearly"?

When something "rises linearly", it means there's a constant rate of increase. If you plotted it on a graph, the relationship would form a straight line.