a given function

USAGE SUMMARY

The phrase "a given function" is correct and usable in written English.
It is typically used in mathematical or programming contexts to refer to a specific function that has been defined or is being discussed. Example: "To analyze the behavior of a given function, we can examine its derivatives and critical points."

✓ Grammatically correct

Science

Academia

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

In this section we define three possible functionals that measure similarity of a given function and its shifted counterpart.

American Journal of Physiology - Cell Physiology

A given function may have multiple endpoints.

Cornell University

In engineering, a given function (in a product/software …. ) requires a design - again an inverse problem.

Harvard University

For detailed documentation about a given function, click the link for that header file.

Stanford University

By interchanging the roles of the independent and dependent variables in a given function, one can obtain an inverse function.

Britannica

Most numerical methods for the approximation of integrals and derivatives of a given function f(x) are based on interpolation.

Britannica

They provide a repertoire of tricks for finding a function whose derivative is a given function.

Encyclopedia Britannica

Evolution repeatedly converges on only a few regulatory circuit designs that achieve a given function.

Cell Systems

Sound designers should avoid using very extreme parameter values when generating sound for a given function.

Applied Ergonomics

Hence, the approximation for a given function needs less data than that of the multilinear model.

Journal of Computational Physics

To integrate a given function f, just find a function F whose derivative F′ is equal to f.

Encyclopedia Britannica

Expert writing Tips

Best practice

When using "a given function", ensure that the context clearly indicates what function is being referred to. Avoid ambiguity by providing sufficient information or a prior definition.

Common error

Avoid using "a given function" without establishing which function you are referring to. If the function is not immediately obvious from the surrounding text, explicitly name or describe it to prevent confusion.

Linguistic Context

The phrase "a given function" functions as an adjective phrase modifying a noun. It serves to specify that the function being discussed is already known or has been previously defined within the context. This is supported by Ludwig AI, which confirms its grammatical correctness and common usage.

Expression frequency: Very common

Frequent in

Science

70%

Academia

20%

Encyclopedias

10%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "a given function" is a grammatically correct and commonly used phrase, particularly in scientific and academic writing. Ludwig AI analysis confirms its validity. It serves to refer to a function that is already known or defined within the context, ensuring clarity and avoiding ambiguity. While suitable for formal settings, it's crucial to provide sufficient context to identify the function being referenced. Alternatives like "a specified function" or "a particular function" can be used to convey similar meanings. Remember to clearly define or reference the function to prevent confusion.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

specified function

Emphasizes that the function has been clearly identified.

particular function

Highlights a specific instance of a function.

defined function

Focuses on the function having a clear definition.

certain function

Indicates a specific, though possibly not explicitly named, function.

designated function

Suggests the function has been assigned for a specific purpose.

predetermined function

Emphasizes that the function was decided upon in advance.

established function

Highlights that the function is already known or recognized.

considered function

Indicates that the function is being taken into account.

prescribed function

Suggests the function is mandated or required.

relevant function

Highlights that the function is pertinent to the current discussion.

FAQs

How can I use "a given function" in a sentence?

You can use "a given function" to refer to a function that has already been introduced or is understood in the context. For example, "To optimize the performance of "a given function", consider its computational complexity."

What's the difference between "a given function" and "a specific function"?

"A given function" implies that the function is already known or under consideration, while "a specific function" emphasizes that you are referring to one particular function out of many possibilities. The choice depends on whether the context already establishes the function.

Can I use "a given function" in formal writing?

Yes, "a given function" is suitable for formal writing, especially in technical or academic contexts where functions are commonly discussed. However, ensure clarity by defining or referencing the function appropriately.

What are some alternatives to "a given function" that I can use?

Depending on the context, you can use alternatives such as "a specified function", "a particular function", or "the function in question" to convey a similar meaning.