convolve: meaning, definition, pronunciation and examples

Low frequency (C2)
UK/kənˈvɒlv/US/kənˈvɑːlv/

Technical, formal, academic

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Quick answer

What does “convolve” mean?

To combine two mathematical functions (or sets of data) to produce a third function that expresses how the shape of one is modified by the other.

Audio

Pronunciation

Definition

Meaning and Definition

To combine two mathematical functions (or sets of data) to produce a third function that expresses how the shape of one is modified by the other; to roll, coil, or twist together.

To intricately blend, intertwine, or merge things (like ideas, sounds, or narratives) in a complex manner that makes the original components difficult to separate.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage. Spelling and pronunciation are the primary points of divergence.

Connotations

Purely technical and neutral in both varieties. No additional connotative baggage.

Frequency

Equally low-frequency in general language but standard and expected within its specific technical domains in both the UK and US.

Grammar

How to Use “convolve” in a Sentence

convolve A with Bconvolve A and Bconvolve (transitive, requiring a direct object)

Vocabulary

Collocations

strong
to convolve a functionto convolve the signalto convolve with a kernelto convolve the data
medium
to convolve an imageto convolve the sequencesto convolve the filterto convolve the input
weak
to convolve informationto convolve the layersto convolve the waveformto convolve the distributions

Examples

Examples of “convolve” in a Sentence

verb

British English

  • To reduce noise, you must convolve the raw data with a smoothing function.
  • The algorithm is designed to convolve the two matrices efficiently.

American English

  • You need to convolve the audio signal with the impulse response.
  • The software will convolve the source image with the selected filter kernel.

Usage

Meaning in Context

Business

Virtually never used, except in highly specialised tech companies dealing with signal processing or data science.

Academic

Core terminology in mathematics (especially functional analysis), engineering (signal/image processing), physics, and computer science (neural networks).

Everyday

Extremely rare. Would likely be misunderstood or perceived as an error for 'involve' or 'convoluted'.

Technical

The primary register. Used with precision to describe a fundamental integral transform operation.

Vocabulary

Synonyms of “convolve”

Strong

perform convolution onapply a convolution to

Vocabulary

Antonyms of “convolve”

Watch out

Common Mistakes When Using “convolve”

  • Using 'convolve' intransitively (e.g., 'The functions convolve').
  • Confusing it with 'convoluted' (adj.) and saying 'a convolve explanation'.
  • Misspelling as 'convolute' (which is a related but distinct verb).

FAQ

Frequently Asked Questions

Yes, they share the Latin root 'convolvere' (to roll together). 'Convoluted' describes something intricately folded, twisted, or complicated, which is the figurative result of a 'convolving' process.

It is not advisable. In everyday contexts, it will sound overly technical, archaic, or be mistaken for 'involve'. Use simpler verbs like 'mix', 'combine', or 'blend' instead.

The primary noun is 'convolution'. The act or result of convolving is a 'convolution'.

While both are integral operations, convolution involves flipping one function before sliding and integrating, measuring the overlap as one function is reversed. Correlation does not flip the function, measuring similarity without reversal. They answer different questions in signal analysis.

To combine two mathematical functions (or sets of data) to produce a third function that expresses how the shape of one is modified by the other.

Convolve is usually technical, formal, academic in register.

Convolve: in British English it is pronounced /kənˈvɒlv/, and in American English it is pronounced /kənˈvɑːlv/. Tap the audio buttons above to hear it.

Learning

Memory Aids

Mnemonic

Think of CONVOLVE as a CON-volved VOlVE: in a car engine (valves), complex systems work together (con-) in a rolled-up, intertwined way.

Conceptual Metaphor

MATHEMATICAL OPERATIONS ARE WEAVING / BLENDING.

Practice

Quiz

Fill in the gap
In digital image processing, it is common to an image with a Gaussian kernel to create a blur effect.
Multiple Choice

In which field is the verb 'to convolve' most precisely and frequently used?