increased in a linear manner

USAGE SUMMARY

The phrase "increased in a linear manner" is correct and usable in written English.
It can be used when describing a consistent or proportional increase in a variable over time or in relation to another variable. Example: "The temperature increased in a linear manner throughout the day, rising steadily from morning to evening."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

The osteogenic marker alkaline phosphatase (ALP) increased in a linear manner for BMP-7 and non-linearly for BMP-2.

Biomaterials

Tomato leaf chlorophyll content increased in a linear manner with the increasing VC application rate [y = 39.67 + 0.05 (VC rate), R 2 = 0.70, P��= 0.0381].

International Journal of Recycling of Organic Waste in Agriculture

When 9% PC was mixed with the SQD, the MDD and OMC further increased in a linear manner from with 1.76 to 1.90 mg/m3 (see Fig. 4) and 16.0 to 17.2%, respectively.

International Journal of Geo-Engineering

The voltage was increased in a linear manner from zero to the target value with a ramping rate of 10 V/min, so that the current will not rise too fast to avoid overheating of the electrolyte and burning aluminum samples.

Nanoscale Research Letters

Further, the waggle durations of dancers from both species increased in a linear manner with increasing distance.

Plosone

It can be seen that δ13CO2 increased in a linear manner with CFU over more than 2 orders of magnitude, and that the slopes (extent of conversion per 106 CFU) for different experiments were similar (data not shown).

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

We know that the risk of new onset chronic daily headache will increase in a linear manner with baseline headache frequency, especially for those who experience more than one headache per week [38].

The Journal of Headache and Pain

Microvessel density and VEGF expression also increase in a linear manner with the progression of transformation in anal intraepithelial neoplasia, the precursor of anal SCC (Mullerat et al, 2003).

British Journal of Cancer

Growth, protein retention, nitrogen and energy utilisation efficiency increased quadratically, body dry matter, fat, nitrogen and energy content increased in a linear or quadratic manner with increasing dietary Na/K ratio.

Aquaculture

The ratio of palmitoleic acid to cis-11 vaccenic acid also increased in a linear and quadratic manner (P<0.001) with palmitoleic acid infusion.

Diabetes, Metabolic Syndrome and Obesity: Targets and Therapy

The electrochemical evaluation was also performed using different electrolyte concentrations; interestingly, the maximum discharge capacity of the perovskite-type electrodes increased in a linear-like manner with the incremental changes in electrolyte concentration.

Materials for Renewable and Sustainable Energy

Expert writing Tips

Best practice

When using "increased in a linear manner", ensure that the data or context genuinely supports a linear relationship. Avoid using it loosely for any general increase, as linearity has a specific mathematical meaning.

Common error

A common mistake is assuming that any consistent increase is linear. A linear increase implies a constant rate of change; if the rate varies, even slightly, the relationship is non-linear. Always verify with data points or mathematical models.

Linguistic Context

The phrase "increased in a linear manner" functions as an adverbial phrase modifying a verb, describing how something increased. Ludwig AI confirms that it is grammatically correct and usable in written English. The phrase specifies the nature of the increase, indicating a constant rate of change.

Expression frequency: Common

Frequent in

Science

96%

News & Media

2%

Formal & Business

2%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "increased in a linear manner" is a grammatically correct and commonly used expression, particularly in scientific and technical writing. It indicates a consistent and proportional relationship between two variables. According to Ludwig AI, this phrase is well-suited for describing precise and quantifiable increases. While alternatives like "rose proportionally" or "increased steadily" exist, "increased in a linear manner" offers a specific emphasis on the linear nature of the increase, differentiating it from potentially non-linear growth patterns. Understanding the proper context and verifying linearity through data are key to effectively using this phrase.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

exhibited a linear increase

Replaces "in a linear manner" with "linear increase" and maintains a formal tone.

increased in direct proportion

Highlights the direct and proportional relationship, reinforcing the idea of a constant ratio.

increased lineally

A more formal way to say the same concept, implies a direct proportional increase.

rose proportionally

Focuses on the proportional increase, implying a constant ratio of change.

progressed linearly

Suggests a forward movement or development that follows a linear pattern.

scaled linearly

Implies a relationship where changes are directly proportional and maintain the same scale.

grew at a constant rate

Emphasizes the consistency of the rate of increase over time or across different values.

increased uniformly

Emphasizes the evenness and consistency of the increase across the entire range or period.

increased steadily

Highlights the continuous and consistent nature of the increase, without specifying the mathematical relationship.

showed a direct correlation

Indicates a positive relationship where both variables increase together, although it doesn't strictly specify linearity.

FAQs

How can I use "increased in a linear manner" in a sentence?

You can use "increased in a linear manner" to describe a relationship where one variable consistently increases at a constant rate relative to another. For example: "The drug concentration increased in a linear manner with each dose administered."

What are some alternatives to "increased in a linear manner"?

Alternatives include phrases like "rose proportionally", "grew at a constant rate", or "increased steadily". The best choice depends on the specific context and the nuance you wish to convey.

Is it correct to say "increased in a linear fashion"?

While "increased in a linear fashion" is understandable, "increased in a linear manner" is generally considered more precise and grammatically standard, especially in formal or scientific writing.

What does it mean for something to "increase in a linear manner"?

It means there's a direct proportional relationship between two variables, where a consistent change in one variable results in a consistent and proportional change in the other. This can be visualized as a straight line on a graph.