domain of function

USAGE SUMMARY

The phrase "domain of function" is correct and usable in written English.
It is typically used in mathematics to refer to the set of all possible input values (or arguments) for which a function is defined. Example: "In the function f(x) = 1/x, the domain of function excludes x = 0, as division by zero is undefined."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

If there is no ambiguity, we omit the domain of function spaces.

Boundary Value Problems

The actual domain of function f is defined on ([a,b]_{q,omega}subset I).

Advances in Difference Equations

We note that: (i) The actual domain of function f is defined on ([a,b]_{q,omega}subset I).

Advances in Difference Equations

We note that the actual domain of function f is defined on ([a,b]_{q,omega}subset I).

Boundary Value Problems

Note that the actual domain of function f is defined on ([a,b]_{q,omega}subset I).

Boundary Value Problems

Suppose the problem (4) can be achieved in the interior of the dom R (domain of function R), i.e., x nk > 0, ∀n ∈ {1, 2}, k ∈ {1, 2,..., K}.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

We may assume that no extra flexibility is needed to extend the fixed domain of functions required for radio baseband processing.

EURASIP Journal on Wireless Communications and Networking

aNon-significant after bonferroni correction for each domain of functioning (0.05/4; α = 0.0125).

BMC Psychiatry

Describing and measuring the consequences of living with a chronic illness falls into the domain of functioning and disability.

Health and Quality of Life Outcomes

Particularly the level of mobility is essential for conducting activities in daily life, but this domain of functioning is directly affected by visual impairments [ 11, 12, 15, 16].

BMC Health Services Research

On the one hand, scholars identified frailty as a unidimensional construct, oriented to the physical domain of functioning and the biological/physiological state.

Clinical interventions in aging

Expert writing Tips

Best practice

When using the phrase "domain of function", ensure that the context clearly indicates whether you are referring to the mathematical domain (input values) or another type of domain (e.g. a domain of functioning).

Common error

Avoid using "domain" when you actually mean "range". The domain refers to the input values, while the range refers to the output values of a function. Using the terms interchangeably will confuse your reader.

Linguistic Context

The phrase "domain of function" primarily functions as a noun phrase. It identifies the set of input values for which a mathematical function is defined. As Ludwig AI confirms, this phrase is grammatically sound. It also appears in contexts related to broader concepts of functioning.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "domain of function" is grammatically correct and primarily used in scientific and mathematical contexts to define the set of possible input values for a function. Ludwig AI confirms the validity of this phrase. While it's not extremely common, its usage is consistent and precise within these fields. Related phrases include alternatives that emphasize different aspects of a function's inputs. When writing, be sure to distinguish between "domain" and "range" and clarify the intended meaning based on the specific context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical domain of the function

Adds the 'mathematical' adjective to make more explicit the use.

input range of a function

Focuses on the range of acceptable inputs rather than the more general domain.

function's valid inputs

Highlights the validity of the input values for the function.

set of function arguments

Specifies the arguments that a function can accept.

function's input space

Emphasizes the space in which the function's inputs exist.

allowable input values for a function

Focuses on the permission aspect of what inputs are allowed.

function's effective domain

Highlights the domain where the function produces meaningful results.

region of definition for a function

Emphasizes the area where the function is defined.

scope of a function's inputs

Focuses on the boundaries of the inputs that a function can handle.

function's argument set

Specifies the collection of arguments that a function operates on.

FAQs

How is the phrase "domain of function" used in a sentence?

The phrase "domain of function" is used to specify the set of possible input values for which a function is defined. For example, "In the function f(x) = √x, the "domain of function" is all non-negative real numbers".

What is an alternative to "domain of function" that I can use?

Alternatives include "input range of a function", "function's valid inputs", or "set of function arguments". The best choice depends on the specific context.

What's the difference between the domain and range of a function?

The domain of a function is the set of all possible input values, while the range is the set of all possible output values. The domain is what you put into the function, and the range is what you get out.

In what fields of study is the "domain of function" commonly used?

The "domain of function" is a fundamental concept in mathematics, computer science, and engineering, where it's used to define the inputs for mathematical functions and algorithms. Its importance is also notable in some "domains of functioning" when we speak in general terms of "function".