integral function

USAGE SUMMARY

"integral function" is correct and usable in written English.
You can use it when referring to a function of a single variable which is expressed by an integral. For example, "Calculating the integral of the integral function allows us to find the exact value of the equation."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Each spectrum was integrated using WinNMR software integral function.

Plosone

Acculturation is increasingly becoming an integral function of nurses and administrators in care organizations for elderly [ 45].

BMC Health Services Research

Therefore, since the integral function performs an Euler integration, the integral of vec1 will reproduce vec minus the first element.

Yale University

The robust control law is developed by integrating a sufficiently smooth positive integral function at each step of the backstepping design procedure.

Journal of the Franklin Institute

The solution is expressed using the tabulated exponential integral function.

Chemical Engineering Science

It includes compartments for insulin, glucose, insulin action and a compartment to simulate an integral function of glucose.

IFAC Proceedings Volumes

However, it is hard to adjust the coefficients of the integral function for the medium thickness airfoil.

Journal of Fluids and Structures

It includes states for insulin, glucose, insulin action and a state to simulate an integral function of glucose.

Computer Methods and Programs in Biomedicine

Ceremonies and services connected with marriages and births are not usually performed in mosques, and the rites that are an important and integral function of many churches, such as confession, penitence, and confirmation, do not exist there.

Britannica

A problem of the integral methods is the fact that Arrhenius integral function does not have an exact analytical solution.

Polymer

The objective function is defined as an integral function along the boundaries, and the adjoint equations and the boundary conditions are derived by introducing the adjoint variable vectors.

Chinese Journal of Aeronautics

Expert writing Tips

Best practice

When using "integral function" in mathematical or scientific writing, ensure you clearly define the context and type of integral being referenced (e.g., exponential integral function).

Common error

Avoid using "integral function" loosely in general writing. While 'integral' can mean essential, using "integral function" specifically implies a mathematical or technical meaning. In non-technical contexts, consider alternatives like "essential function" or "key role" to maintain clarity.

Linguistic Context

The phrase "integral function" primarily functions as a noun phrase. It serves to identify a specific type of mathematical or technical function defined by an integral. Ludwig AI confirms its correct usage, and examples show the term used both in specific definitions and broader application.

Expression frequency: Very common

Frequent in

Science

78%

Academia

15%

News & Media

4%

Less common in

Encyclopedias

1%

Wiki

1%

Formal & Business

1%

Ludwig's WRAP-UP

The phrase "integral function" is a grammatically correct noun phrase widely used across various domains, particularly in science and academia. According to Ludwig AI, the phrase is correct and usable in written English, and the analysis confirms its prevalence in technical and scientific contexts. While the phrase is relatively formal, understanding its appropriate application—mainly within mathematical and technical discussions—is crucial. When in doubt, consider the context; for general writing, alternatives like "essential function" or "key role" might be more suitable.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

essential function

Emphasizes the necessity or importance of the function.

intrinsic function

Highlights that the function is inherent or naturally belonging to something.

fundamental function

Stresses the foundational or basic nature of the function.

critical function

Indicates that the function is vital or crucial for something to operate correctly.

key function

Focuses on the function being important or significant.

basic functionality

Shifts the focus slightly to the capabilities or features provided.

core function

Emphasizes that the function is central and indispensable.

primary function

Highlights that this is the main or most important function.

vital role

Shifts the term function for role, indicating importance.

component feature

Highlights the feature as part of something bigger.

FAQs

How is "integral function" used in a sentence?

In technical contexts, "integral function" describes a mathematical function defined by an integral. For example: "The robust control law is developed by integrating a sufficiently smooth positive "integral function" at each step of the backstepping design procedure."

What is the difference between "integral function" and "integrative function"?

"Integral function" typically refers to a mathematical function related to integration, while "integrative function" describes a function that combines or integrates different elements or systems. The terms are distinct and not interchangeable.

Which is a better term to use, "integral function" or "essential function"?

The better term depends on the context. Use "integral function" in mathematical or scientific contexts. In other cases use ""essential function"" to indicate a necessary or crucial function.

What are some related terms to "integral function" in mathematics?

Related terms include "exponential integral function", "sine integral function", and other named integrals which are specific types of "integral function".