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Scan
Scan, SCAN or Scanning may refer to: Science and technology Computing and electronics * Graham scan, an algorithm for finding the convex hull of a set of points in the plane * 3D scanning, of a real-world object or environment to collect three dimensional data * Counter-scanning, in physical micro and nanotopography measuring instruments like scanning probe microscope * Elevator algorithm or SCAN, a disk scheduling algorithm * Image scanning, an optical scan of images, printed text, handwriting or an object * Optical character recognition, optical recognition of printed text or printed sheet music * Port scanner, in computer networking * Prefix sum, an operation on lists that is also known as the scan operator * Raster scan, the rectangular pattern of image capture and reconstruction in television * Scan chain, a type of manufacturing test used with integrated circuits * Scan line, one line in a raster scanning pattern * Screen reading, on computers to quickly locate text elements a ...
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Prefix Sum
In computer science, the prefix sum, cumulative sum, inclusive scan, or simply scan of a sequence of numbers is a second sequence of numbers , the summation, sums of Prefix (computer science), prefixes (running totals) of the input sequence: : : : :... For instance, the prefix sums of the natural numbers are the triangular numbers: : Prefix sums are trivial to compute in sequential models of computation, by using the formula to compute each output value in sequence order. However, despite their ease of computation, prefix sums are a useful primitive in certain algorithms such as counting sort,. and they form the basis of the scan higher-order function in functional programming languages. Prefix sums have also been much studied in parallel algorithms, both as a test problem to be solved and as a useful primitive to be used as a subroutine in other parallel algorithms.. Abstractly, a prefix sum requires only a semigroup, binary associative operator ⊕, making it useful for many a ...
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