in the idealized case

USAGE SUMMARY

The phrase "in the idealized case" is correct and usable in written English.
It can be used when discussing theoretical scenarios or models that assume perfect conditions or simplifications. Example: "In the idealized case, we assume that all variables are constant and do not change over time."

✓ Grammatically correct

Science

Wiki

News & Media

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

For the actual magnetic observations, the internal contribution is less than that in the idealized case, but it is still remarkable and deserves careful investigation.

Earth, Planets and Space

It is shown that it considerably outperforms the algorithm proposed in recent papers in the area and examined only in the idealized case of noiseless sensors.

Automatica

The linear Halbach array is a well-known planar magnetic structure capable, in the idealized case, of generating a one-sided magnetic field.

Journal of Magnetism and Magnetic Materials

Because, according to the theory, the idealization would hold exactly in the specified circumstances, these and all other deviations must result from further forces not taken into account in the idealized case.

SEP

This is in the idealized case.

Wikipedia

In the idealized case, in which friction and any flexing is ignored, a bike is a conservative system.

Wikipedia

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

This is a generalization of the M-MMSE schemes considered in [17] and [20] for the special case of B=K and in [21] for the idealized case of perfect channel state information (CSI).

EURASIP Journal on Wireless Communications and Networking

In this paper, the idealized case of a uniform and instantaneous scalar release across the channel is analytically explored by a two-scale perturbation analysis.

Journal of Hydrology

In our analysis of the spread or lock-in of the persistent regimes, the idealized case gives us a hint to select the identifying community algorithm.

Plosone

From the simulation results, it can be seen that on average, the proposed method significantly outperforms the method in [15] and is close to that of the idealized case.

EURASIP Journal on Advances in Signal Processing

We compared the simulations of these models in response to a 100 μM bolus treatment of hydrogen peroxide to the idealized case of perfect, specific targeting.

BMC Systems Biology

Expert writing Tips

Best practice

When using "in the idealized case", clearly state the specific assumptions or simplifications being made. This ensures clarity and avoids misunderstandings about the context.

Common error

Avoid applying conclusions derived from the "in the idealized case" scenario directly to real-world situations without acknowledging the limitations and potential differences.

Linguistic Context

The phrase "in the idealized case" functions as an adverbial phrase, modifying a verb or clause by specifying the conditions under which the statement holds true. It introduces a scenario that is simplified or theoretical, often for the purpose of analysis or modeling. As Ludwig AI confirms, this phrase is correct and usable in written English.

Expression frequency: Uncommon

Frequent in

Science

65%

Wiki

15%

News & Media

10%

Less common in

Encyclopedias

5%

Formal & Business

5%

Social Media

0%

Ludwig's WRAP-UP

The phrase "in the idealized case" is a grammatically sound and useful construction employed to denote scenarios simplified for theoretical exploration or analysis. Ludwig AI indicates this phrase is correct and usable in written English. It commonly appears in scientific and technical contexts, particularly when discussing models or simulations based on certain assumptions. While not overly frequent, its use is well-established in academic and professional writing. When employing this phrase, it's crucial to clearly define the specific assumptions underpinning the 'idealized' scenario to ensure clarity and prevent misinterpretations. Alternatives such as "under ideal circumstances" or "in theory" can be considered for stylistic variation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

under ideal circumstances

Focuses on the conditions being perfect rather than the scenario itself.

in a perfect world

Implies a hypothetical scenario free from real-world constraints.

in theory

Highlights the theoretical aspect, often contrasting with practical reality.

assuming perfect conditions

Explicitly states the assumption of ideal circumstances.

hypothetically

Focuses on the hypothetical nature of the situation.

in a simplified model

Emphasizes the use of a simplified representation.

theoretically speaking

Similar to "in theory" but with a more conversational tone.

in an unrealistic scenario

Highlights the lack of real-world applicability.

for the sake of argument

Introduces a point that may not be true but is useful for discussion.

in a vacuum

Implies a situation isolated from external influences.

FAQs

How does using "in the idealized case" affect the interpretation of results?

Using "in the idealized case" indicates that the results are based on simplified assumptions and may not perfectly reflect real-world complexities. Consider these results as theoretical benchmarks or starting points for further analysis.

When is it appropriate to use the phrase "in the idealized case" in scientific writing?

It's appropriate to use "in the idealized case" when describing models, simulations, or theoretical scenarios that simplify reality to isolate specific variables or relationships. It should be used with clear explanations of the simplifications made.

What are some alternatives to "in the idealized case" that maintain a similar meaning?

You can use alternatives like "under ideal circumstances", "in theory", or "assuming perfect conditions" depending on the specific nuance you want to convey.

How can I avoid misinterpreting results obtained "in the idealized case"?

To avoid misinterpretation, always compare results obtained in the "in the idealized case" with empirical data or more complex models. Acknowledge the limitations of the idealized scenario and discuss potential deviations from reality.