Definition of convolution in English:


Line breaks: con|vo¦lu¦tion
Pronunciation: /ˌkɒnvəˈluːʃ(ə)n


  • 1A coil or twist: crosses adorned with elaborate convolutions
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    • Their origin is not yet completely understood, although they are certainly related to convolutions of the intense solar magnetic field.
    • Phosphor is clearly named for the pale, luminous green that animates a thick, pythonlike convolution which winds up from the bottom of the horizontal canvas and takes several loops around itself before exiting at the top.
    • In this convolution, the edges of the blades in teeth 21-27 are serrated and show 15 denticles on each one.
    twist, turn, coil, spiral, twirl, curl, helix, whorl, loop, curlicue, kink, sinuosity
    technical volute, volution, gyrus
  • 1.1 [mass noun] The state of being or process of becoming coiled or twisted: the flexibility of the polymer chain allows extensive convolution
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    • These fungiform structures are formed from a convolution of exocuticle.
    • Thus, the force required to extend and compress their convolutions is very low and stays consistent from part to part and over a wide range of motion.
  • 3A sinuous fold in the surface of the brain.
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    • In people, nonhuman primates, and other mammals with relatively large brains, the cerebral cortex's convolutions permit its large surface area to cram inside the skull.
    • Called an endocast, the model shows a variety of features, including the brain's size, shape, vessels, and convolutions.
    • In addition, cholesterol depletion caused the convolutions of the basal membrane and the structure of the lateral membrane to be less complex and the membranes to be smoother in the DIC images.
  • 4 (also convolution integral) Mathematics A function derived from two given functions by integration which expresses how the shape of one is modified by the other.
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    • The disorientation of the filaments around fiber axes is also treated as a convolution with a Gaussian function.
    • This operation is accomplished in the frequency domain by making use of the fundamental mathematical relationship that multiplication in the frequency domain is equivalent to convolution in the time domain.
    • We accomplish this shift by performing a 2 - D convolution of the image with a 7 x 7 low-pass filter mask.
  • 4.1A method of determination of the sum of two random variables by integration or summation.
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    • The convolution method does not generate any new insight into what determines the value of [left angle bracket] Î ½ [right angle bracket], but it serves as a useful test case.
    • Data analysis was carried out using a nonlinear, least-squares iterative convolution method based on the Marquardt algorithm.
    • The convolution method increases the precision, relative to estimation of the individual linewidths by simulation.



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  • CS - 1 (coding scheme one) uses the same scheme as traditional GSM radio traffic: 1/2 rate convolutional coding that adds enough error correction data to the radio frame being transmitted to double its size.
  • In a transmission termination processing step, tail bits for initializing the registers in each recursive systematic convolutional encoder are calculated only after a final frame has been subjected to turbo encoding.


mid 16th century: from medieval Latin convolutio(n-), from convolvere 'roll together' (see convolve).

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