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Convolution: meaning, definitions and examples

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convolution

 

[kənvəˈluːʃ(ə)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.

Interesting Facts

Etymology

  • 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.

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 surface—known as gyri—are critical for increasing brain area and processing power.
  • Convolutional processes can be found in the study of how drugs affect biological systems.

Translations

Translations of the word "convolution" in other languages:

🇵🇹 convolução

🇮🇳 संवहन

🇩🇪 Faltung

🇮🇩 konvolusi

🇺🇦 згортка

🇵🇱 splot

🇯🇵 畳み込み

🇫🇷 convolution

🇪🇸 convolución

🇹🇷 konvolüsyon

🇰🇷 컨볼루션

🇸🇦 التفاف

🇨🇿 konvoluce

🇸🇰 konvolúcia

🇨🇳 卷积

🇸🇮 konvolucija

🇮🇸 felling

🇰🇿 конволюция

🇬🇪 კონვოლუცია

🇦🇿 konvolyusiya

🇲🇽 convolución

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.