convolving

Meanings

• verb

  The process of combining two functions to produce a third function.

  - "In signal processing, a signal is convolved with an impulse response to produce the system response."
  - "The convolution of two functions can be calculated using integrals."

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Antonyms

deconvolve

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Variants

List of all variants of convolving that leads to same result
convolve , convolved , convolves , convolving

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin word 'convolutus', meaning 'twisted' or 'turned together'. In mathematics, the term 'convolution' refers to the process of combining two functions to produce a third function.

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Trivia

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1. The term 'convolution' was first introduced in mathematics by French mathematician Augustin-Louis Cauchy in the 19th century.

2. The convolution theorem states that the Fourier transform of the convolution of two functions is equal to the product of their Fourier transforms.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Impulse response: A function that describes the response of a system to an impulse or delta function.

2. Fourier transform: A mathematical transform used to decompose a function into its constituent frequencies.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

The term 'convolution' has been used extensively in mathematics, particularly in signal processing and image processing. It has also been used in physics, specifically in quantum mechanics.

How to Memorize "convolving"

1. visualize
   

   - Imagine two functions overlapping and combining to create a third function.
   - Visualize the process of integrating two functions to find the convolution.

2. associate
   

   - Associate the term 'convolution' with the idea of combining two things to create a third.
   - Think of the term as a mathematical operation that involves integrating two functions.

3. mnemonics
   

   - Use the mnemonic 'C-O-N-V-O-L-V-E-R' to remember the order of operations in the convolution formula.

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