Convolution: meaning, definitions and examples
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convolution
[ kənvəˈluːʃ(ə)n ]
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.
Synonyms
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.
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.
Synonyms
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.
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.
Synonyms
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
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 origin
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.