assumed stationary

USAGE SUMMARY

The phrase "assumed stationary" is correct and usable in written English.
It is typically used in scientific or mathematical contexts to describe a condition where an object or system is considered to be at rest or not changing over time for the purpose of analysis. Example: "In our calculations, we assumed stationary conditions to simplify the model and focus on the primary variables."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

25 human-written examples

To obtain these estimators, signals are assumed stationary.

EURASIP Journal on Advances in Signal Processing

The reverberation is assumed stationary in each block.

EURASIP Journal on Wireless Communications and Networking

These stations are assumed stationary and their locations precisely known a priori.

EURASIP Journal on Advances in Signal Processing

During the entire motion estimation, the positions of the two scatterers are regarded as scatter points and are assumed stationary.

EURASIP Journal on Wireless Communications and Networking

They are also applicable in case of non-stationary scenario where within the window the data are assumed stationary.

Human-centric Computing and Information Sciences

The piston effect here made the DPM plume flattened as compared with previous study where the truck was assumed stationary (Zheng et al. 2015b).

International Journal of Coal Science & Technology

Human-verified similar examples from authoritative sources

Similar Expressions

35 human-written examples

Deterministic rainfall-runoff modelling usually assumes stationary hydrological system, as model parameters are calibrated with and therefore dependant on observed data.

Journal of Hydrology

After selecting an observation interval, we propose subspace-based algorithms to suppress partially present (interfering) packets, as a preprocessing step for existing blind beamforming algorithms that assume stationary (fully overlapping) sources.

Digital Signal Processing

However, many approaches to extreme value modelling assume stationary conditions and it is not straightforward how to include non-stationarity of the extremes due to for example climate change.

Applied Ocean Research

Even if in fatigue application it is common to assume stationary and Gaussian excitation, the impact of non-Gaussian and non-stationary loadings on the service life of a mechanical component is known.

International Journal of Fatigue

The rates, which we assume stationary and ergodic with respect to space time shifts, are symmetric and bounded but possibly degenerate in the sense that the total jump rate from a vertex may vanish over finite intervals of time.

Journal of Functional Analysis

Expert writing Tips

Best practice

When using "assumed stationary", clearly state the specific context or timeframe within which this assumption holds. This ensures clarity and prevents misinterpretations of your analysis.

Common error

Avoid applying the "assumed stationary" condition to systems or processes known to exhibit significant variability or change over time. This can lead to inaccurate models and flawed conclusions. Always validate the appropriateness of the assumption before proceeding.

Linguistic Context

The phrase "assumed stationary" functions as an adjective phrase, modifying a noun (often implied or stated, like 'conditions' or 'state'). As shown by Ludwig, this phrase indicates a simplifying condition for analysis or modeling.

Expression frequency: Uncommon

Frequent in

Science

90%

Academia

5%

News & Media

2%

Less common in

Formal & Business

1%

Encyclopedias

1%

Reference

1%

Ludwig's WRAP-UP

The phrase "assumed stationary" is a technical term predominantly used in scientific and engineering contexts. Ludwig AI analysis confirms it is grammatically correct and suitable when simplifying models by presuming conditions remain constant over time. While the phrase is accurate, remember to clearly state the timeframe or context for this assumption to avoid ambiguity. Be cautious against overgeneralizing the assumption to systems known to be variable. Alternatives like "considered static" or "presumed constant" can be used depending on the specific nuance desired. Though uncommon, it's essential in contexts needing simplified modeling through a consistent lens. The predominant context is science with a solid 90%.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

considered static

Replaces "assumed" with "considered" and "stationary" with "static", emphasizing a state of rest.

presumed constant

Substitutes "assumed" with "presumed" and "stationary" with "constant", focusing on unchanging value.

taken as fixed

Replaces "assumed stationary" with a passive construction highlighting the fixed nature.

regarded as stable

Uses "regarded" instead of "assumed" and "stable" instead of "stationary", emphasizing stability.

deemed invariant

Replaces "assumed" with "deemed" and "stationary" with "invariant", stressing lack of change under transformation.

treated as unchanging

Uses "treated" instead of "assumed" and describes the lack of change explicitly.

considered time-invariant

Specifically indicates that the stationary condition refers to invariance over time.

posited as unmoving

Replaces "assumed" with "posited" and "stationary" with "unmoving", providing a more formal tone.

hypothesized as immutable

Substitutes "assumed" with "hypothesized" and "stationary" with "immutable", implying a theoretical basis for the assumption.

stipulated as steady

Replaces "assumed" with "stipulated" and "stationary" with "steady", suggesting a condition agreed upon for the context.

FAQs

How is "assumed stationary" typically used in scientific writing?

In scientific writing, "assumed stationary" is used to denote a simplification where a process or system is treated as not changing with time, allowing for easier analysis and modeling. This assumption is made to focus on other key variables or to make complex systems tractable.

What are common alternatives to "assumed stationary"?

You can use alternatives like "considered static", "presumed constant", or "regarded as stable" depending on the specific context and nuance you want to convey.

When is it appropriate to use the phrase "assumed stationary"?

It's appropriate to use "assumed stationary" when the changes in a system are negligible over the timeframe of your analysis, or when you want to isolate certain factors by holding others constant. This is common in signal processing, statistical analysis, and physics.

What are the limitations of making an "assumed stationary" assertion?

The major limitation is that it simplifies reality and may lead to inaccuracies if the system is, in fact, non-stationary. It's crucial to acknowledge this limitation and, if possible, to test the robustness of your conclusions against potential deviations from the stationary assumption.