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Convolution has applications that include probability, statistics, acoustics, spectroscopy, signal processing and image processing, geophysics, engineering, physics, computer vision and differential equations. [1] The convolution can be defined for functions on Euclidean space and other groups (as algebraic structures).
In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain ) equals point-wise multiplication in the other domain (e.g., frequency domain ).
This fact makes it possible to define convolution quotients by saying that for two functions ƒ, g, the pair (ƒ, g) has the same convolution quotient as the pair (h * ƒ,h * g). As with the construction of the rational numbers from the integers, the field of convolution quotients is a direct extension of the convolution ring from which it was ...
In mathematics, symmetric convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution-based processes such as Gaussian blur and taking the derivative of a signal in frequency-space are symmetric and this property can be exploited to make these convolutions easier to evaluate.
Convolution of probability distributions; Convolution reverb, a process used for digitally simulating the reverberation of a physical or virtual space; Convolution random number generator, a pseudo-random number sampling method that can be used to generate random variates from certain classes of probability distribution
Lê Viết Quốc (born 1982), [1] or in romanized form Quoc Viet Le, is a Vietnamese-American computer scientist and a machine learning pioneer at Google Brain, which he established with others from Google. He co-invented the doc2vec [2] and seq2seq [3] models in natural language processing.
A man playing the đàn tranh beside the singer. The đàn tranh (Vietnamese: [ɗâːn ʈajŋ̟], 彈 箏) or đàn thập lục [1] is a plucked zither of Vietnam, based on the Chinese guzheng, from which are also derived the Japanese koto, the Korean gayageum and ajaeng, the Mongolian yatga, the Sundanese kacapi and the Kazakh jetigen.
Dầu Tiếng is a rural district of Bình Dương province in the Southeast region of Vietnam. As of 2003, the district had a population of 92,592. [1] The district covers an area of 720 km 2. The district capital lies at Dầu Tiếng township. [1] The district had a base with the same name during the war in Vietnam.