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单词 convolution
释义

convolution


con·vo·lu·tion

C0618400 (kŏn′və-lo͞o′shən)n.1. A form or part that is folded or coiled.2. One of the convex folds of the surface of the brain.
con′vo·lu′tion·al adj.

convolution

(ˌkɒnvəˈluːʃən) n1. a twisting together; a turn, twist, or coil2. an intricate, involved, or confused matter or condition3. (Anatomy) Also called: gyrus any of the numerous convex folds or ridges of the surface of the brain ˌconvoˈlutional, ˌconvoˈlutionary adj

con•vo•lu•tion

(ˌkɒn vəˈlu ʃən)

n. 1. a rolled up or coiled condition. 2. a rolling or coiling together. 3. a turn of anything coiled; whorl. 4. one of the sinuous folds or ridges of the surface of the brain. [1535–45; < Latin] con`vo•lu′tion•al, con`vo•lu′tion•ar•y (-ʃəˌnɛr i) adj.
Thesaurus
Noun1.convolution - the shape of something rotating rapidlyconvolution - the shape of something rotating rapidlyswirl, vortex, whirlround shape - a shape that is curved and without sharp angles
2.convolution - a convex fold or elevation in the surface of the braingyrusanatomical structure, bodily structure, body structure, complex body part, structure - a particular complex anatomical part of a living thing; "he has good bone structure"frontal gyrus - any of the convolutions of the outer surface of the frontal lobe of the cerebrumtemporal gyrus - any of the convolutions of the outer surface of the temporal lobe of the cerebrumparietal gyrus - any of the convolutions of the outer surface of the parietal lobe of the cerebrumoccipital gyrus - any of the convolutions of the outer surface of the occipital lobe of the cerebrumcerebrum - anterior portion of the brain consisting of two hemispheres; dominant part of the brain in humanscentral gyrus - either of two gyri on either side of the central sulcus
3.convolution - the action of coiling or twisting or winding togetherchange of shape - an action that changes the shape of something

convolution

noun twist, complexity, intricacy, contortion, winding, curl, loop, spiral, coil, coiling, helix, undulation, curlicue the size, shape and convolutions of the human brain
Translations

convolution


convolution

Anatomy any of the numerous convex folds or ridges of the surface of the brain

convolution

(kon-vŏ-loo -shŏn) A mathematical operation that is performed on two functions and expresses how the shape of one is ‘smeared’ by the other. Mathematically, the convolution of the functions f(x) and g(x) is given by (u )g(x u )du

It finds wide application in physics; it describes, for example, how the transfer function of an instrument affects the response to an input signal. See also autocorrelation function; radio-source structure.

Convolution

 

The convolution of the two functions f1(x) and f2(x) is the function

The convolution of f1(x) and f2(x) is sometimes denoted by f1 * f2

If f1 and f2 are the probability density functions of two independent random variables X and Y, then f1 * f2 is the probability density function of the random variable X + Y. If Fk(x) is the Fourier transform of the function fk(x), that is,

then F1(x) F2(x) is the Fourier transform of the function f1 * f2. This property of convolutions has important applications in probability theory. The convolution of two functions exhibits an analogous property with respect to the Laplace transform; this fact underlies broad applications of convolutions in operational calculus.

The operation of convolution of functions is commutative and associative—that is, f1 * f2 = f2 * f1 and f1 * (f2 * f3) = (f1 * f2) * f3. For this reason, the convolution of two functions can be regarded as a type of multiplication. Consequently, the theory of normed rings can be applied to the study of convolutions of functions.

convolution

[‚kän·və′lü·shən] (anatomy) A fold, twist, or coil of any organ, especially any one of the prominent convex parts of the brain, separated from each other by depressions or sulci. (geology) The process of developing convolute bedding. A structure resulting from a convolution process, such as a small-scale but intricate fold. (mathematics) The convolution of the functions ƒ and g is the function F, defined by (statistics) A method for finding the distribution of the sum of two or more random variables; computed by direct integration or summation as contrasted with, for example, the method of characteristic functions.

convolution


convolution

 [kon″vo-lu´shun] a tortuous irregularity or elevation caused by the infolding of a structure upon itself.

con·vo·lu·tion

(kon'vō-lū'shŭn), 1. A coiling or rolling of an organ. 2. Specifically, a gyrus of the cerebral cotex or folia of the cerebellar cortex. [L. convolutio]

convolution

(kŏn′və-lo͞o′shən)n.1. A form or part that is folded or coiled.2. One of the convex folds of the surface of the brain.
con′vo·lu′tion·al adj.

convolution

(1) A redundancy or folding of tissue native to an organ. 
(2) Gyrus, brain.

convolution

An elevation on the surface of a structure and an infolding of the tissue upon itself

con·vo·lu·tion

(kon-vŏ-lū'shŭn) 1. A coiling or rolling of an organ. 2. Specifically, a gyrus of the cerebral or cerebellar cortex. [L. convolutio]

convolution


Related to convolution: Fourier transform, Convolution theorem
  • noun

Synonyms for convolution

noun twist

Synonyms

  • twist
  • complexity
  • intricacy
  • contortion
  • winding
  • curl
  • loop
  • spiral
  • coil
  • coiling
  • helix
  • undulation
  • curlicue

Synonyms for convolution

noun the shape of something rotating rapidly

Synonyms

  • swirl
  • vortex
  • whirl

Related Words

  • round shape

noun a convex fold or elevation in the surface of the brain

Synonyms

  • gyrus

Related Words

  • anatomical structure
  • bodily structure
  • body structure
  • complex body part
  • structure
  • frontal gyrus
  • temporal gyrus
  • parietal gyrus
  • occipital gyrus
  • cerebrum
  • central gyrus

noun the action of coiling or twisting or winding together

Related Words

  • change of shape
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更新时间:2024/12/24 9:16:18