a valid approximation for

USAGE SUMMARY

The phrase "a valid approximation for" is correct and usable in written English.
You can use it when discussing a mathematical or scientific estimate that is considered acceptable or reasonable in a given context. Example: "The formula provides a valid approximation for the total energy of the system under certain conditions."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

Recent investigations have shown that the Pareto class of models provide a valid approximation for the statistical structure of the backscattering from the sea, for high resolution X-band maritime surveillance radar.

Digital Signal Processing

This result demonstrates that the CCPF model is a valid approximation for flows in karst aquifers as long as we set the fluid exchange coefficient sufficiently large and at least in the simple two-dimensional setting that we consider.

Journal of Hydrology

The persistent obstacle in such processes is to find a valid approximation for soil representation.

International Journal of Concrete Structures and Materials

Such assumptions consider that islands do not undergo dramatic changes in morphology or composition under capping, which is a valid approximation for the growth temperatures used here and the reduced strain with respect to pure InAs islands [35].

Nanoscale Res Lett

The authors assumed that the head centre corresponds to the articular centre of the hip, which in the authors' experience is a valid approximation for healthy hips (Schofer et al., 2010).

Journal of Experimental Orthopaedics

Although not treated explicitly here, note that inclusion of a front wall in say Figure 1b yields a through-wall radar scenario [12, 15] in which case the analysis here provides a valid approximation, for example when D y ≫D 1,D 2. We now proceed to derive expressions for lower bounds on the target localization error co-variance in classical and Bayesian settings.

EURASIP Journal on Advances in Signal Processing

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

The simulation results show that the properties derived based on the control-oriented model hold also for the complex model presented in "A complex model of underwater snake robots", something which supports the assumption that the control-oriented model is a valid approximation of the complex model for analysis and control design.

Robotics and Biomimetics

In matched data, conditional logistic (partial likelihood) analysis provides a valid approximation of the rate ratio and adjusts for the sampling variability found in estimating standard error and confidence intervals.

International Journal of Emergency Medicine

The subsystem is a valid approximation of the full system if the conditions for term dominance are satisfied.

ACS Synthetic Biology

Moreover, the hazard difference is only a valid approximation of the risk difference if event rates are low, for instance less than 5% [ 16, 18].

BMC Medical Research Methodology

Although the use of the one-dimensional approach is not accurate, especially close to the bubble cap, it is considered as a valid approximation and it yields reasonable results for the modeling of pressure drop, bubble length and void fraction in slug flow.

Chemical Engineering Science

Expert writing Tips

Best practice

When using "a valid approximation for", clearly state the conditions or limitations under which the approximation holds true to avoid misinterpretations.

Common error

Avoid using "a valid approximation for" without specifying the scope or context in which the approximation is actually valid. Overgeneralizing can lead to inaccurate conclusions.

Linguistic Context

The phrase "a valid approximation for" functions as a qualifier, indicating that a model, method, or calculation provides a reasonable and acceptable estimate within a specific context. According to Ludwig AI, the phrase is usable in written English.

Expression frequency: Uncommon

Frequent in

Science

90%

Academia

5%

Encyclopedias

2%

Less common in

Wiki

1%

Formal & Business

1%

News & Media

1%

Ludwig's WRAP-UP

The phrase "a valid approximation for" is a useful tool, particularly in scientific and technical writing, for indicating that a simplified model provides a reasonable estimate under specific circumstances. Ludwig AI indicates that it's grammatically correct and appropriate for use. As this guide highlights, it's crucial to specify the conditions under which the approximation is valid to avoid overgeneralization. Alternatives like "a reasonable estimate for" or "a sound model for" can be considered depending on the specific nuance you wish to convey. Remember to clarify the context to ensure the approximation's relevance and accuracy.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a reasonable estimate for

Focuses on the practicality and common-sense aspect of the estimation.

an acceptable substitute for

Emphasizes the interchangeability and suitability in place of something else.

a sound model for

Highlights the reliability and robustness of the model being used.

a credible representation of

Stresses the believability and faithfulness of the depiction.

a legitimate simplification of

Indicates an authorized or justifiable reduction in complexity.

a fair estimate of

Highlights impartiality and reasonableness in the assessment.

a good stand-in for

Implies a temporary but adequate replacement.

a tenable explanation for

Focuses on the defensibility and plausibility of the provided rationale.

a defensible simplification of

Emphasizes the ability to justify the simplified approach.

a working hypothesis for

Highlights its utility as a starting point for investigation.

FAQs

How can I use "a valid approximation for" in a sentence?

You can use "a valid approximation for" to describe a model or method that provides a reasonable estimate under specific conditions. For example, "The linear model serves as a valid approximation for the system's behavior when the inputs are within a certain range."

What are some alternatives to "a valid approximation for"?

Alternatives include "a reasonable estimate for", "an acceptable substitute for", or "a sound model for", depending on the specific context.

When is it appropriate to use the phrase "a valid approximation for"?

Use "a valid approximation for" when you want to emphasize that a simplified model or calculation is accurate enough for a particular purpose, even if it's not perfectly exact.

What does it mean for something to be "a valid approximation for" something else?

It means that the first thing, though not identical to the second, can be used in its place for certain calculations or estimations with an acceptable degree of accuracy. In other words, it's a simplification that works well enough.