discrete functions

USAGE SUMMARY

"discrete functions" is correct and usable in written English.
It is commonly used in mathematics and computer science to refer to functions that have specific and separate values for different input values, rather than a continuous range of values. Example: "In discrete mathematics, we often work with discrete functions, which have defined values for each integer input."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Emphasis is on inhomogeneous Dirichlet conditions, where an additional discretization is required, since discrete functions cannot satisfy continuous Dirichlet conditions.

Computers and Mathematics with Applications

The inherent moderate flexibility between the two domains may indicate that they can have discrete functions as well as acting as one functional unit.

Biochemistry

The functional decomposition of binary and multi-valued discrete functions and relations has been gaining more and more recognition.

Journal of Systems Architecture

For the Galerkin discretization, we replace ϕ, ψ ∈ H ˜ − 1 / 2 by discrete functions ϕ h, ψ h ∈ P 0 (T h ).

Engineering Analysis with Boundary Elements

Reengineering was about thinking linearly: managing the end-to-end process instead of discrete functions.

Harvard Business Review

Aiken, J. et al. Genome-wide analysis reveals novel and discrete functions for tubulin carboxy-terminal tails.

Nature

They have discrete functions that rarely overlap: it's hard to describe the taste of a sound, the color of a smell, or the scent of a feeling.

The New Yorker

The convolution actually being performed in the applet's script is of two discrete functions (second equation above).

Stanford University

This paper is devoted to decomposition of sequential machines, discrete functions and relations.

Journal of Systems Architecture

The separate product view has been picked up by media executives from software executives, where the world has always been seen as a collection of discrete functions, and separate rollouts.

The Guardian - Opinion

We consider interpolation of discrete functions by continuous ones with restriction on the size of spectra.

Journal of Functional Analysis

Expert writing Tips

Best practice

When discussing mathematical or computational concepts, use "discrete functions" to accurately represent functions with distinct, separate values rather than continuous ranges.

Common error

Avoid using "discrete functions" when you actually mean continuous functions. Ensure you understand the difference: discrete functions have specific, separate values, while continuous functions have a range of values without interruption.

Linguistic Context

The phrase "discrete functions" serves as a descriptive term, primarily functioning as an adjective-noun combination. It specifies the type of functions being discussed, emphasizing their distinct and separate nature, as evidenced by examples in Ludwig.

Expression frequency: Very common

Frequent in

Science

61%

News & Media

22%

Academia

10%

Less common in

Formal & Business

5%

Encyclopedias

1%

Wiki

1%

Ludwig's WRAP-UP

The phrase "discrete functions" is a commonly used term, primarily in scientific, academic, and technical contexts, to describe functions characterized by distinct and separate values. Ludwig AI confirms its grammatical correctness and highlights its frequent use in various domains. While synonyms like "distinct functions" and "separate functions" exist, "discrete functions" specifically denotes the mathematical property of non-continuity. Using "discrete functions" accurately is crucial in technical writing to avoid confusion with continuous functions. This guide provides insights into its usage, common errors, and related phrases, ensuring effective communication in relevant fields.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

distinct functions

Focuses on the uniqueness and separateness of the functions.

separate functions

Emphasizes the independence and non-overlapping nature of the functions.

individual functions

Highlights the isolated and self-contained nature of each function.

isolated functions

Stresses the lack of connection or interaction between the functions.

non-continuous functions

Specifically contrasts with functions that have continuous values.

independent operations

Shifts the focus to the operational aspect of the functions.

segregated processes

Highlights the separation and distinctness of the functions as processes.

compartmentalized tasks

Emphasizes the division of functions into separate compartments or tasks.

specialized roles

Focuses on the unique and specific roles that each function performs.

fragmented operations

Implies that the functions are broken down into smaller, disconnected operations.

FAQs

How are "discrete functions" used in computer science?

"Discrete functions" are fundamental in areas like algorithm design, data structures, and cryptography, where data is often processed in distinct units or steps.

What's the difference between "distinct functions" and "discrete functions"?

While both phrases imply separateness, "discrete functions" specifically refers to the mathematical property of having separate, non-continuous values, whereas "distinct functions" simply means that the functions are different or unique.

Can "discrete functions" be approximated by continuous functions?

Yes, in some cases, "discrete functions" can be approximated by continuous functions for analytical purposes, especially when dealing with large datasets or complex systems. However, this approximation may introduce errors.

In what fields other than mathematics and computer science are "discrete functions" relevant?

"Discrete functions" are relevant in various fields, including signal processing, where signals are often sampled and processed as discrete data points, and in economics, where models may use discrete time steps or discrete variables.