for a given value of

USAGE SUMMARY

The phrase 'for a given value of' is correct and can be used in written English.
This phrase is used when talking about a specific limit, value, or point. For example, "The result of the experiment indicates that the maximum efficiency of the system was achieved for a given value of the applied voltage."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

For a given value of m, the lines for varying n form a series.

Encyclopedia Britannica

It's a very good speech, for a given value of "very good" that's designed to leave decent people keening in a corner over the death of reason.

The Guardian

for a given value of ( {overline{x}}_3 ).

EURASIP Journal on Wireless Communications and Networking

For a given value of f 0, Eqs.

Health Economics Review

For a given value of ¯¯¯D, the cooling is enhanced for wider drop-size distributions.

Applied Thermal Engineering

For a given value of compressive strength, ( varepsilon_{of} ) is determined using Eqs.

International Journal of Concrete Structures and Materials

A maximum efficiency can also be reached for a given value of k h.

International Journal of Energy and Environmental Engineering

Hence, minimizing for a given value of is equivalent to minimizing.

EURASIP Journal on Advances in Signal Processing

For a given value of u 1, f u 1) can be calculated according to (4).

Protection and Control of Modern Power Systems

For a given value of the parameters, a value of η is drawn from its distribution.

Applied Water Science

On the other hand, for a given value of (rho ), by setting Eqs.

Journal of Industrial Engineering International

Expert writing Tips

Best practice

When using "for a given value of", ensure the value being referenced is clearly defined and relevant to the context. This helps maintain clarity and avoids ambiguity in your writing.

Common error

Avoid using "for a given value of" as a shortcut. Always check that holding one value constant truly isolates the relationship you intend to explore. Oversimplification can lead to misleading conclusions.

Linguistic Context

The phrase "for a given value of" functions as a prepositional phrase that introduces a condition or constraint in a statement. According to Ludwig, the phrase is grammatically correct and appropriate for use in written English.

Expression frequency: Very common

Frequent in

Science

98%

Encyclopedias

1%

News & Media

1%

Less common in

Formal & Business

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "for a given value of" is a grammatically correct prepositional phrase predominantly used in scientific and technical writing to set a specific condition or constraint. As Ludwig AI confirms, its function is to specify the circumstances under which a statement holds true. While versatile, ensure the chosen value is clearly defined to avoid ambiguity. The phrase is frequently found in scientific publications. When writing, be mindful of oversimplification and potential misinterpretations. Consider "with a fixed value of" or "assuming a specific value for" as alternative wordings to maintain clarity. Overall, the phrase is a common tool for precision in technical and scientific discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

with a fixed value of

Emphasizes the immutability of the value, suggesting it's held constant throughout a process.

where a certain value is

A more concise way of expressing the condition.

assuming a specific value for

Focuses on the assumption of a value, implying a premise for further calculations or analysis.

taking a certain value of

Emphasizes the action of taking a value.

given a specific magnitude of

Replaces "value" with "magnitude", suitable for quantifiable attributes.

when holding constant

Highlights that a specific variable must remain constant.

when a particular value is assigned to

Highlights the act of assigning a value, emphasizing the process rather than the condition.

assuming a known quantity of

Emphasizes that a quantity is known or pre-defined.

for a predetermined level of

Substitutes "value" with "level", fitting contexts involving thresholds or stages.

given the condition that

Focuses on the condition being placed, highlighting the premise for proceeding.

FAQs

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

Use "for a given value of" to specify a condition or constraint under which a relationship or result holds true. For instance, "The efficiency increases "for a given value of" input voltage" indicates that the stated effect is true only when the input voltage is held constant.

What phrases are similar to "for a given value of"?

Alternatives include "with a fixed value of", "assuming a specific value for", or "when holding constant". The best choice depends on the specific nuance you want to convey.

Is it better to say "for given values of" or "for a given value of"?

"For a given value of" is used when referring to a single, specific value. "For given values of" is used when referring to a set or range of values. The choice depends on whether you are discussing one particular value or multiple values.

What's the difference between "for a given value of" and "for any value of"?

"For a given value of" implies a specific, constant value is being considered. "For any value of" indicates that the statement applies regardless of the value. For example, stating that X holds true "for any value of" Y indicates that X is universally true with no dependence on Y.