is approximated with

USAGE SUMMARY

The phrase "is approximated with" is correct and usable in written English.
It can be used in contexts where you are discussing a value or measurement that is close to another value, often in scientific or mathematical discussions. Example: "The total area of the land is approximated with 500 square meters."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

This approximation can be intuitively interpreted as a Wishart approximation where the effect of "windowing" is approximated with a rectangular window with an effective number of samples of N e and the covariance matrix of the received data is scaled to A e =w e A".

EURASIP Journal on Advances in Signal Processing

In the FK step, the square root function is approximated with 384 segments in the range of [0.25, 1] with a maximum approximation error of, while the sine and cosine functions are approximated with 512 segments in the range of [0, 2] with a maximum approximation error of.

EURASIP Journal on Embedded Systems

Each facial muscle is approximated with a series of muscle polygons on the mesh surface.

Computers & Graphics

Popularly, the OCP is approximated with a finite-dimensional nonlinear program (NLP).

IFAC-PapersOnLine

In this approach, the kinetic equation is approximated with a global velocity grid.

Journal of Computational Physics

As a consequence, the covariance of the sensors is approximated with a second order function of the distance.

Acta Astronautica

Each admittance within the compact model is approximated with a closed-form expression consisting of logarithmic functions.

Integration, the VLSI Journal

In this technique the subspace projection onto the target space of wanted eigenvectors is approximated with filter polynomials obtained from Chebyshev expansions of window functions.

Journal of Computational Physics

In the present study, shoulder broadness (SB), H0, is approximated with the intercept of the linear portion at the Log I = 0.

Journal of Environmental Chemical Engineering

Simple fusion algorithms combine the outputs of the two models so that the desired function is approximated with an appropriate accuracy.

Mechatronics

The a posteriori estimation of the error is obtained by solving an advection reaction equation for the error, which is approximated with quadratic interpolation functions.

Computer Methods in Applied Mechanics and Engineering

Expert writing Tips

Best practice

When using "is approximated with", ensure the approximation is reasonable and justified within the context. Clearly state the basis for the approximation and any potential limitations.

Common error

Avoid presenting an approximation as an exact value. Always acknowledge that it's an approximation and be mindful of the potential error or deviation from the true value. For example, do not state that "the curve is approximated with a straight line", but instead indicate which intervals it holds true to.

Linguistic Context

The phrase "is approximated with" functions as a passive construction indicating that a subject is being represented or estimated using a simpler or more convenient form. Ludwig AI confirms the usability of the expression.

Expression frequency: Very common

Frequent in

Science

95%

News & Media

2%

Formal & Business

1%

Less common in

Encyclopedias

1%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "is approximated with" is a common and grammatically correct expression used to describe the simplification of a complex entity or process. As Ludwig AI confirms, it's widely accepted and suitable for various contexts. Its primary function is to convey that something is being represented in a simpler form for practical reasons, predominantly within formal and scientific registers. When using this phrase, ensure the approximation is justified and potential limitations are acknowledged. Alternatives like ""is estimated by"" or ""is modeled as"" can be used to add nuance. The key is to avoid overstating the accuracy of the approximation and to clearly define the basis for the simplification.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is estimated by

Focuses on the estimation aspect, often implying a calculation or assessment.

is modeled as

Highlights the creation of a model to represent something, often in scientific or engineering contexts.

is represented by

Emphasizes the representation of something, suggesting a symbolic or abstract portrayal.

is simulated with

Suggests the use of a simulation to mimic or replicate a real-world process or system.

is equated to

Indicates a direct equivalence or correspondence between two things.

is roughly equivalent to

Emphasizes that the two things being compared are not exactly the same, but very similar.

is considered to be

Highlights the perspective that two things can be regarded as the same or very similar.

is conceptually similar to

The phrase shows a conceptual association but not a practical implication.

is likened to

The phrase highlights the usage of figurative language to draw out similarities.

is rendered as

Indicates a transformation or interpretation of something into a different form or representation.

FAQs

How can I use "is approximated with" in a sentence?

The phrase "is approximated with" is used to describe something that is represented or estimated using a simpler or more convenient form. For example: "In this model, the complex interaction "is approximated with" a linear equation."

What are some alternatives to "is approximated with"?

Alternatives include "is estimated by", "is modeled as", or "is represented by", depending on the context. Each alternative conveys a slightly different nuance regarding the nature of the simplification or estimation.

When is it appropriate to use "is approximated with"?

It's appropriate when you are describing a situation where an exact calculation or representation is difficult or impossible, and a simplified version is used instead. This is common in scientific modeling and engineering analysis.

What's the difference between "is approximated with" and "is estimated with"?

"Is approximated with" suggests a simplification of a complex entity or process, while "is estimated with" implies a calculation or judgment to arrive at a value. While there can be overlapping contexts, "approximated" generally involves a structural or representational change, whereas "estimated" focuses on a numerical assessment.