Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
increased with increasing
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "increased with increasing" is correct and usable in written English.
It is typically used to indicate a proportional relationship between two variables. For example, "The number of participants in the study increased with increasing levels of motivation."
✓ Grammatically correct
Science
Academia
Alternative expressions(14)
rose in tandem with
advanced concurrently with
expanded in direct proportion to
grew proportionally with the rise of
raised with increasing
widened with increasing
rising with increasing
increases with increasing
raises with increasing
rise with increasing
raise with increasing
grow with increasing
gain with increasing
grows with increasing
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
60 human-written examples
The horizontal diameter increased with increasing quantitative ratio.
Science
Differences across approaches increased with increasing number of hospitalized days.
Academia
Urine pH increased with increasing DCAD level.
Science
Cell alignment increased with increasing surface roughness.
Science
Microhardness increased with increasing gahnite crystals.
Science
Transmission efficiency increased with increasing orifice diameter.
Conversion increased with increasing mixing intensity.
Drying rate increased with increasing voltage.
Science
Such strain localisation increased with increasing deformation.
Science
The hardness increased with increasing r.f.
The hardness increased with increasing alloying content.
Expert writing Tips
Best practice
When using the phrase "increased with increasing", ensure that the relationship between the two variables is clearly defined and that the context supports a proportional increase.
Common error
Avoid using "increased with increasing" when the relationship between two variables is not directly proportional. For example, don't say "Happiness increased with increasing wealth" if the relationship plateaus or diminishes after a certain point.
Source & Trust
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "increased with increasing" functions as a correlative expression, indicating a direct and proportional relationship between two variables. Ludwig AI confirms this usage through numerous examples in scientific and academic contexts.
Frequent in
Science
79%
Academia
21%
Formal & Business
0%
Less common in
News & Media
0%
Encyclopedias
0%
Wiki
0%
Ludwig's WRAP-UP
The phrase "increased with increasing" is a common and grammatically correct expression used to describe a direct and proportional relationship between two variables. Ludwig AI's analysis shows it's most frequently used in scientific and academic writing. When using this phrase, ensure the relationship between the variables is clearly defined. Consider alternatives like "rose in tandem with" or "the more X, the more Y" for stylistic variation.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
rose in tandem with
Uses "rose in tandem" to indicate a simultaneous increase, implying a connected relationship.
expanded in direct proportion to
Uses "expanded" and "in direct proportion to" to clearly express a mathematical relationship.
grew proportionally with the rise of
Rephrases the concept using "grew proportionally" and specifies "the rise of" as the independent variable.
advanced concurrently with
Replaces "increased" with "advanced" and uses "concurrently" to specify that the changes happen at the same time.
improved correspondingly with
Focuses on positive growth, replacing "increased" with "improved" and using "correspondingly" for a direct relationship.
developed in parallel with
Indicates that the growth happened alongside, keeping pace with another factor.
escalated alongside
Emphasizes a more rapid increase, using "escalated" to suggest acceleration and "alongside" for simultaneity.
climbed commensurately with
Replaces "increased" with "climbed", suggesting a steady rise, and uses "commensurately" to emphasize the proportional change.
amplified as a function of
Formal and mathematical, implying a direct, calculable relationship between the variables.
the more X, the more Y
Expresses the relationship in a simple, direct correlative structure.
FAQs
How can I rephrase "increased with increasing" to sound more formal?
You can use more formal alternatives such as "rose in tandem with", "advanced concurrently with", or "expanded in direct proportion to" depending on the specific context.
Is "increased with increasing" redundant?
While it may seem redundant, "increased with increasing" emphasizes a direct and proportional relationship between two variables. It clarifies that as one variable goes up, the other consistently follows.
What's a simpler way to express "increased with increasing"?
A simpler way is to say "the more X, the more Y", for example, "The more you practice, the better you become". Also consider alternatives like "grew proportionally with the rise of".
In what contexts is it best to use "increased with increasing"?
This phrase is suitable for academic, scientific, and technical writing where precision is important. It's particularly useful when describing experimental results or observed trends where one quantity directly influences another.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
86%
Authority and reliability
4.5/5
Expert rating
Real-world application tested