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
levels of smoothness
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "levels of smoothness" is correct and usable in written English.
You can use it when discussing varying degrees of smoothness in a context such as texture, surface quality, or performance. Example: "The artist experimented with different levels of smoothness in her painting technique to achieve the desired effect."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(1)
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
2 human-written examples
Thirdly, one may use different regularization constant λ j for the daily variation pattern γ j pertaining to different road types j to reflect the different levels of smoothness of the daily variation patterns shown in Fig. 1.
We first prove the condition number estimates of the discrete system for the h-refinement, and provide the supporting numerical results for all levels of smoothness (from C 0 to C p - 1 ).
Human-verified similar examples from authoritative sources
Similar Expressions
58 human-written examples
With this definition, we can rewrite Eq. (16) as (17)W is supposed to smooth the solution, its form depends on the desired level of smoothness and the parameterization of the model.
Science
Thus, it guarantees a certain level of smoothness in the limit on a regular mesh.
Science
The surface is approximated using a control mesh guaranteeing a certain level of smoothness.
The degree of smoothness of the resulting power delivered to load is assessed in terms of a newly developed level of smoothness (LOS) criteria.
As described above, pigments with a high level of smoothness spread well across the skin, and powder smoothness is the another important factor for cosmetic applications [21].
We notice, in particular, that modeling diffusion increases the level of smoothness of the simulated map, which makes it more similar to the measured one.
The Gaussian distribution used in the CAR specification above induces a high level of smoothness.
If the level of smoothness turns out to be too low, then one can easily improve the accuracy of the cubic spline approximation used to represent the Hermite boundary data.
Science
High levels of both smoothness and brightness of AISI-304 stainless steel surfaces can be attained by using electropolishing technique, where the sample was fixed as anode and a suitable current was applied into electrolytic cell containing H3PO4.
Expert writing Tips
Best practice
When describing surface characteristics, use “levels of smoothness” to indicate varying degrees of finish or texture. This is especially useful in technical and scientific contexts.
Common error
Avoid using “levels of smoothness” in overly casual or informal writing. Opt for simpler terms like “smooth” or “very smooth” to maintain a natural tone in everyday communication.
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "levels of smoothness" functions primarily as a noun phrase, often serving as the object of a preposition or a complement within a larger sentence. As confirmed by Ludwig AI, it's grammatically sound. Examples show its use in academic papers, news reports, and technical documents.
Frequent in
Science
60%
News & Media
20%
Formal & Business
10%
Less common in
Wiki
5%
Encyclopedias
3%
Reference
2%
Ludwig's WRAP-UP
The phrase "levels of smoothness" is a grammatically correct noun phrase used to describe varying degrees of smoothness, often in technical or scientific contexts. As confirmed by Ludwig AI, its usage is appropriate for formal writing where precision is required. While alternatives like "degrees of smoothness" exist, the original phrase is commonly found in sources like academic papers and news articles. To ensure clarity, avoid using it in overly casual settings. When writing in a formal setting it is recommended to check the readability by using a tool such as Ludwig's Paraphraser.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
degrees of smoothness
Emphasizes the measurement or quantification of smoothness.
levels of uniformity
Focuses on the consistency of the surface rather than just its smoothness.
gradation of smoothness
Highlights a gradual change or transition in smoothness.
smoothness variations
Indicates differences or changes in the smoothness characteristic.
range of smoothness
Describes the spectrum of possible smoothness values.
depth of smoothness
Suggests the intensity or completeness of the smoothness.
stages of smoothness
Implies a progression or series of smoothness qualities.
extent of smoothness
Focuses on the magnitude or scope of the smoothness.
smoothness spectrum
Implies a continuum or scale of smoothness qualities.
smoothness index
Refers to a measured or quantified smoothness value.
FAQs
How can I use "levels of smoothness" in a sentence?
You can use "levels of smoothness" to describe varying degrees of smoothness in a particular context. For example: "The experiment tested different "levels of smoothness" on the aircraft wings to reduce drag."
What are some alternatives to "levels of smoothness"?
Alternatives include "degrees of smoothness", "smoothness variations", or "gradation of smoothness" depending on the specific nuance you want to convey.
In what contexts is it appropriate to use "levels of smoothness"?
It is most appropriate in technical, scientific, or engineering contexts where precise descriptions of surface quality or texture are needed. Using other words, like "smoothness variations", or "gradation of smoothness", can add some precision to your text.
What determines the "levels of smoothness" in a manufacturing process?
The "levels of smoothness" are typically determined by the tools, materials, and techniques used during the manufacturing process, as well as any post-processing treatments applied.
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
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested