for a given set of

USAGE SUMMARY

"for a given set of" is a valid and commonly used phrase in written English.
It is typically used to specify a specific group or collection of something. Example: For a given set of factors, the results of the experiment were consistent.

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

56 human-written examples

The adapted model allows adsorption calculation for a given set of temperature-pressure-fluid composition data.

Chemical Engineering Science

The output was the electron density for a given set of input parameters.

Advances in Space Research

Abduction is the problem of finding the best explanation for a given set of observations.

Artificial Intelligence

For a given set of solution conditions, the net charges on different proteins usually are unequal.

Encyclopedia Britannica

Then production rates can be reasonably estimated for a given set of conditions.

Journal of Petroleum Science and Engineering

The EA fine-tunes the reconfigurable hash function for a given set of IP addresses.

Applied Soft Computing

For a given set of parameters, butterfly attractors are emerged from the system.

Chaos, Solitons & Fractals

First, they must specify who is responsible for a given set of rules and has the authority to change them.

Harvard Business Review

The numerical integration of the conservation equations gives the flame propagation velocity for a given set of parameters.

Combustion and Flame

This paper addresses the problem of calculating the maximum heat energy recovery for a given set of process streams.

Chemical Engineering Science

It is shown that for a given set of anodization conditions this minimum time is proportional to the anodization.

Electrochimica Acta

Expert writing Tips

Best practice

When using "for a given set of", ensure the elements within the set are clearly defined and relevant to the context. This adds precision and clarity to your writing.

Common error

Avoid using "for a given set of" without specifying what the set includes. For instance, instead of saying "for a given set of conditions", specify the actual conditions being considered for clarity.

Linguistic Context

The phrase "for a given set of" functions as a prepositional phrase introducing a condition or context. It sets the stage for a statement that holds true under specific circumstances. Ludwig AI confirms its correct grammatical usage.

Expression frequency: Very common

Frequent in

Science

98%

Formal & Business

1%

News & Media

1%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "for a given set of" is a prepositional phrase used to establish the specific context or conditions under which a statement is true. It is grammatically correct and very common, especially in scientific and formal writing. To ensure clarity, always define the elements within the "set". Ludwig AI confirms its widespread use. Consider alternatives such as "under specific conditions" or "given these parameters" to avoid repetition. The usage patterns reveal its high frequency in scientific contexts, emphasizing its role in defining precise conditions for research and analysis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

given these parameters

Highlights that the group has measured values used in a calculation or process.

assuming these inputs

Implies dependence on a pre-existing parameter to start a process.

under specific conditions

Emphasizes the constraints or circumstances that influence an outcome; broader and less specific regarding the nature of constraints.

subject to these criteria

Highlights that the group follows a set of rules or is evaluated against defined benchmarks.

with a defined group of

Focuses on the composition of the collection rather than the constraint it imposes.

taking into account these variables

Highlights measured or changeable features that are considered.

considering these factors

Broader implication of different influences, whereas the original is limited by a boundary.

based on these elements

The outcome has been determined through various items.

in light of these specifications

Highlights the importance of the details of the group.

under such circumstances

Emphasizes conditional factors impacting a situation; less focused on a collection of elements.

FAQs

How can I use "for a given set of" in a sentence?

Use "for a given set of" to specify conditions or parameters. For example, "For a given set of inputs, the algorithm produces a specific output."

What's a good alternative to "for a given set of"?

Consider using alternatives like "under specific conditions" or "given these parameters" depending on the context.

Is it redundant to say "for a given set of conditions"?

While not strictly redundant, it's more concise to directly state the conditions. For example, instead of "for a given set of environmental conditions", specify "under high temperature and humidity".

How does "for a given set of" differ from "in general"?

"For a given set of" specifies particular circumstances, while "in general" refers to a broad overview without specific constraints. One refers to specific parameter values while the other discusses global properties.