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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
at any given error
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "at any given error" is not standard in written English and may cause confusion.
It could be used in contexts discussing error rates or tolerances in data analysis or statistics, but it would be clearer to rephrase it. Example: "The system can tolerate at any given error level, ensuring reliable performance."
⚠ May contain grammatical issues
Science
Alternative expressions(1)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
For any fixed expansion order p, the relation between time and error can be approximated by a constant plus a power law that becomes flatter for larger p. At any given error, there is an optimal expansion order p in the sense of providing the fastest approximation.
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
For any given error factor, we computed the probability that the sample mean and variance differ from the true mean and variance by at most the error factor.
Science
The number of floating point operations at a given error level associated with these two kinds of schemes are then compared.
The required sample size can then be algebraically derived at a given error rate and assumed difference (pi and pi−pj).
Science
Because both sensitivity and false mapping rates are calculated on the datasets, the methods can be directly compared in terms of the fraction of reads mapped at a given error rate.
Science
MSNet substantially increases the number of proteins identified in the sample at a given error rate.
Science
As this is an important issue, we support here our claim that extrapolation speeds up simulations at a given error level.
Science
At a given error rate, there is variability in GMS profile between the individual runs, although the overall trends are very consistent, which means the GMS is generally robust to the specific errors introduced by the GMA.
Science
In order to boost the success probability to at least 1−δ for a given error probability δ, we need iterations to yield the SOPT.
Science
Finally, each detected error was corrected if at least three reads detected the given error and 70% of the reads located at that position agree.
Science
Transmit diversity is necessary in harsh environments to reduce the required transmit power for achieving a given error performance at a certain transmission rate.
Expert writing Tips
Best practice
When discussing error, specify the type and source of error (measurement, statistical, etc.) for clarity.
Common error
Avoid using the phrase "at any given error" without specifying the context or acceptable limits of the error. Always define what constitutes an 'error' within your analysis.
Source & Trust
78%
Authority and reliability
2.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "at any given error" attempts to specify a condition or state related to the presence of errors. It generally aims to establish a context for evaluating performance or behavior across a spectrum of potential error magnitudes, but the phrasing is awkward. Ludwig AI highlights the uncommon and potentially confusing nature of this phrase.
Frequent in
Science
100%
Less common in
News & Media
0%
Formal & Business
0%
Ludwig's WRAP-UP
The phrase "at any given error" is uncommon and grammatically questionable. While it attempts to define a condition related to the presence of errors, it's often vague and lacks clarity. Ludwig AI signals the non-standard nature of this phrase. For clearer communication, consider alternatives like "at a specified error rate" or "for a given error tolerance". Specify the context and type of error to avoid ambiguity and enhance understanding in technical or scientific discussions. Although present in some scientific literature, refining this phrasing will improve the precision and impact of your writing.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
at a specified error rate
Specifies a defined acceptable level of error, replacing 'any' with 'specified' for clarity.
for a given error tolerance
Replaces 'any' with 'a' and focuses on the acceptable deviation from a correct value.
with a certain error margin
Emphasizes the range of acceptable error, using 'margin' to indicate the acceptable deviation.
at a particular error level
Replaces 'any' with 'a particular' to indicate a specific error magnitude.
given a specific error probability
Focuses on the likelihood of an error occurring, clarifying the error aspect.
for any predefined error
Highlights that the error has been previously established or determined.
with a set error threshold
Emphasizes a boundary or limit for acceptable errors, using 'threshold'.
under an assumed error condition
Focuses on the scenario where a certain level of error is presumed to exist.
subject to an accepted error rate
Indicates that the error rate is already agreed upon or considered normal.
within a permissible error range
Replaces 'given' with 'permissible' to denote an allowable extent of error.
FAQs
What does "at any given error" mean in data analysis?
The phrase "at any given error" isn't standard. It likely refers to analyzing the behavior or performance of a system across different levels of error. It's better to specify the error levels you're considering (e.g., "at a 5% error rate").
How to use the concept of error tolerance correctly in a technical document?
Clearly define the "error tolerance" you are referring to. Specify the acceptable range of deviation and the consequences of exceeding that range. For instance, 'The system maintains accuracy within a 2% error tolerance'.
What are some alternatives to the phrase "at any given error"?
Instead of "at any given error", consider using phrases like "at a specified "error rate"", "for a given "error tolerance"", or "with a certain "error margin"" for better clarity.
Why is "at any given error" considered grammatically questionable?
The phrase "at any given error" is vague and lacks a clear grammatical structure. It's unclear what 'given error' refers to. Specifying the type and level of error (e.g., "at a given acceptable error level") makes the statement more precise and understandable.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
78%
Authority and reliability
2.8/5
Expert rating
Real-world application tested