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Convolution Meaning: Definition, Examples, and Translations

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convolution

[kษ™nvษ™หˆluหสƒ(ษ™)n ]

Definitions

Context #1 | Noun

mathematics

A mathematical operation on two functions that produces a third function representing how one function modifies the other. It is used in various fields such as signal processing, image processing, and machine learning.

Examples of usage

  • Convolution is commonly used in image processing to apply filters like blurring and sharpening.
  • In machine learning, convolutional neural networks use convolutions to extract features from input data.
Context #2 | Noun

physics

A type of mathematical operation that combines two functions to create a new function that describes how one function affects the other. It is frequently used in the analysis of physical systems and wave propagation.

Examples of usage

  • Convolution is essential in understanding how waves propagate and interfere in physics.
  • The process of convolution helps in modeling the behavior of complex systems in physics.
Context #3 | Noun

electronics

A mathematical technique used in signal processing to blend or mix two signals together. It is crucial in designing filters, modulators, and demodulators in electronic circuits.

Examples of usage

  • Convolution plays a vital role in designing digital filters for audio signals.
  • The concept of convolution is fundamental in creating modulators for communication systems.

Translations

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Interesting Facts

Mathematics

  • Convolution is often used in areas like integral transformation and helps in solving differential equations.
  • In signal processing, it allows for the analysis of complex signals to retrieve important information.
  • The operation takes two functions and produces a third function that expresses how the shape of one is modified by the other.

Computer Science

  • In the context of deep learning, convolutional neural networks (CNNs) rely on this concept to analyze visual data.
  • It's essential for tasks in image recognition, allowing computers to identify patterns within images.
  • The efficiency of convolution in algorithms has led to advancements in automated technologies.

Art and Design

  • Artists might use convolution as a metaphor for how different influences come together to create a unique piece.
  • In design, the idea of recombining elements parallels the concept of convolution, crafting innovative solutions.
  • The layering of textures in visual art mirrors the mathematical process of convolution.

Health and Biology

  • Convolution can describe the folding structures in DNA, essential for genetic encoding.
  • In neuroscience, convolutions in the brain's surfaceโ€”known as gyriโ€”are critical for increasing brain area and processing power.
  • Convolutional processes can be found in the study of how drugs affect biological systems.

Origin of 'convolution'

Main points about word origin

  • The word comes from the Latin 'convolutio', which means 'to wind around'.
  • It was first used in mathematical contexts in the late 19th century, showcasing its roots in structured thinking.
  • The prefix 'con-' means 'together', indicating how elements are combined.

The word 'convolution' originates from the Latin word 'convolvere,' which means 'to roll together.' It was first introduced in mathematics in the 19th century to describe the blending of functions. Over time, the concept of convolution has found applications in various scientific and engineering fields, becoming a fundamental operation in signal processing, image analysis, and machine learning.

See also: convolutedly.

Word Frequency Rank

With rank #18,374, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.