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
approximate with
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "approximate with" is correct and usable in written English.
It can be used when discussing methods or techniques to estimate or come close to a certain value or result. Example: "To simplify the calculations, we can approximate with a linear model."
✓ Grammatically correct
Science
Academia
News & Media
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
31 human-written examples
So anyway, approximate with those.
Academia
"Any curved shape you could approximate with lots of little flat sides," Demaine explains.
This problem is NP-complete and computationally intractable even to approximate with certain absolute performance bounds.
"It is not possible to approximate with any degree of certainty how many criminal actions, including terrorist acts, have been averted as a direct result of the use of telecommunications data," the AFP's submission said.
News & Media
In order to make the relative equations approximate with a satisfactory precision, we described the problem as a semidefinite programming one via disciplined convex optimization.
Science
The conventional wisdom is this: candidates who overperform then receive increased attention from the news media — presumably because they have exceeded the news media's expectations, which we can approximate with the pre-caucus polls.
News & Media
Human-verified similar examples from authoritative sources
Similar Expressions
29 human-written examples
The diaphragmatic crura are then approximated with nonabsorbable suture posterior to the esophagus.
Science & Research
The measured G′ values were approximated with empirical model.
The splats themselves are approximated with RGBA Gouraud-shaded polygons, so that they can be drawn efficiently on modern graphics workstations.
Academia
Inhomogeneities in modified Helmholtz equations are approximated with the thin plated radial basis functions.
Results of numerical analysis were approximated with mathematical formulae convenient in the practice of tank design.
Expert writing Tips
Best practice
When using "approximate with", ensure that the method or tool you are using for approximation is clearly stated. For example, "Approximate the curve with a series of straight lines."
Common error
Don't use "approximate with" without specifying what you are using to approximate. Saying "Approximate with caution" is vague. Instead, specify: "Approximate the function with a simpler equation."
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "approximate with" functions as a verb phrase indicating a method of estimation. It suggests employing a specific tool or technique to achieve a close, but not necessarily exact, value. As seen in the Ludwig examples, it is often followed by the specific method employed.
Frequent in
Science
48%
Academia
24%
News & Media
20%
Less common in
Wiki
8%
Formal & Business
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "approximate with" is a verb phrase used to describe estimating a value using a particular method or tool. Ludwig AI confirms the phrase is grammatically correct and most frequently appears in scientific and academic writing, indicating a formal register. Alternative phrases include "estimate using" and "calculate with". When employing "approximate with", ensure to clearly specify the method you are using for approximation.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
estimate using
Focuses on the method used to make the estimation, rather than the approximation itself.
calculate with
Emphasizes computation, implying a more precise, though still potentially approximate, result.
estimate based on
Highlights the foundation or data upon which the estimation relies.
model using
Suggests creating a simplified representation for estimation purposes.
approximate by means of
A more formal way to say "approximate with", highlighting the method involved.
estimate via
Similar to 'estimate using' but slightly more concise.
determine approximately with
More verbose, adding emphasis to approximate determination.
find an approximation using
Focuses on the result (approximation) and the method to find it.
generalize with
This is a broader concept that takes a specific instance and applies it more widely to the whole.
idealize with
This alternative suggests creating a theoretical 'ideal' version of something to make it easier to understand.
FAQs
What does "approximate with" mean?
The phrase "approximate with" means to estimate or approach a value, quantity, or result using a particular method, tool, or model. It suggests that the result is not exact, but close enough for a specific purpose.
How can I use "approximate with" in a sentence?
You can use "approximate with" to describe the method used to estimate a value. For example: "We can "estimate with" a simpler model to reduce computational complexity."
What are some alternatives to "approximate with"?
Some alternatives to "approximate with" include "estimate using", "calculate with", or "model with", depending on the context.
Is it better to say "approximate with" or "approximate using"?
Both "approximate with" and "approximate using" are grammatically correct and can be used interchangeably. The choice depends on personal preference and the specific context. Generally, "approximate with" is slightly more concise.
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
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested