at fixed values

USAGE SUMMARY

The phrase "at fixed values" is correct and usable in written English.
It can be used when referring to specific, unchanging numerical or qualitative parameters in various contexts, such as mathematics, programming, or scientific research. Example: "The experiment was conducted at fixed values of temperature and pressure to ensure consistent results."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

30 human-written examples

Multiple steady states are detected at fixed values of the plantwide-control variables.

Computers & Chemical Engineering

The results of the asymptotic analysis show that at fixed values of the scalar dissipation rate.

Combustion and Flame

Average values of activity and statusindicators at fixed values of η u.

EPJ Data Science

After that, everything was repeated at fixed values of the cross-parameters.

Nanoscale Research Letters

The values of parameters α and K were set at fixed values of 0.5 and 3, respectively.

EURASIP Journal on Advances in Signal Processing

The peak wavelengths of the two resonance modes, however, were almost unchanged at fixed values (Fig. 5c).

Nano-Micro Letters

Human-verified similar examples from authoritative sources

Similar Expressions

30 human-written examples

Factor by which the IC changes for given change in RH at fixed T. Factor by which the IC changes for given change in T at fixed value of RH.

AAPS Open

Next, we adjust k 1opt and k 2opt at fixed value of k 3opt.

Nanoscale Research Letters

It was shown that the increase of the value of the j0/jL ratio produces a decrease of overpotential at fixed value of current density.

Electrochimica Acta

After that we go back to the first exponent and at fixed value of the second exponent, k 2opt go over k 1 and determine new optimal values of both exponents.

Nanoscale Research Letters

At fixed value of the first exponent, k 1opt, we examine k 2 and determine the optimal values for two exponents (a 1opt, k 1ont, a 2opt, k 2ont).

Nanoscale Research Letters

Expert writing Tips

Best practice

When using "at fixed values" in scientific writing, clearly define which parameters are being held constant to ensure clarity and reproducibility.

Common error

Avoid assuming that readers will automatically understand which variables are fixed. Always specify the exact values or the reasoning behind keeping them constant to prevent misinterpretations.

Linguistic Context

The phrase "at fixed values" functions as an adverbial prepositional phrase, modifying a verb or clause by specifying the conditions under which an action or state occurs. It indicates that certain parameters are intentionally held constant during a process, experiment, or analysis. Ludwig AI confirms its correctness and usability in various contexts.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

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Ludwig's WRAP-UP

The phrase "at fixed values" is a grammatically sound and frequently used prepositional phrase, particularly in scientific and technical contexts. According to Ludwig AI, it is used to specify that certain parameters are intentionally kept constant. Its primary function is to provide clarity and context by indicating the controlled conditions of an experiment or analysis. The register is formal and scientific, making it appropriate for academic papers, research reports, and technical documentation. To ensure effective communication, always clearly define which parameters are being held constant. Alternatives such as "with constant values" or "under controlled conditions" can be used to vary the phrasing while maintaining the intended meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

with constant values

This alternative emphasizes the unchanging nature of the values, similar to "at fixed values".

with predetermined values

This highlights that the values were established in advance, aligning with the idea of being fixed.

under controlled conditions

This focuses on the setting where values are kept constant, implying a fixed state.

keeping values constant

This verb-based phrase directly states the action of maintaining values without change.

with set parameters

This uses a more general term, parameters, to denote the fixed values.

at constant parameters

This is a more concise way of saying that parameters are not changing.

with invariant values

Invariant emphasizes the values are unchanging despite other variations.

at stable parameters

This underlines the stability of parameters, implying they are held constant.

with unchanging parameters

This directly describes the parameters as not subject to change.

under static conditions

This emphasizes the non-dynamic nature of the conditions, implying the fixed values.

FAQs

How is "at fixed values" used in scientific contexts?

In scientific research, "at fixed values" indicates that certain parameters are intentionally kept constant during an experiment to isolate the effects of other variables. For instance, an experiment might be conducted "at fixed values" of temperature and pressure to observe how changes in concentration affect the reaction rate.

What are some alternatives to "at fixed values"?

You can use alternatives like "with constant values", "with predetermined values", or "under controlled conditions" depending on the specific meaning you want to convey.

Is it grammatically correct to say "at fixed values"?

Yes, "at fixed values" is grammatically correct. It's a common prepositional phrase used in technical and scientific writing to describe conditions where specific parameters are held constant.

When should I use "at fixed values" versus "at variable values"?

"At fixed values" is used when you want to emphasize that certain parameters remain constant, while "at variable values" implies that those parameters are changing. The choice depends on whether you're highlighting the constant or changing aspects of your experiment or analysis.