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Prefix sums are trivial to compute in sequential models of computation, by using the formula y i = y i − 1 + x i 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, [1] [2] and they form the basis of the scan higher-order function in functional programming languages.
Prefix sum, in computing; Pushout (category theory) (also called an amalgamated sum or a cocartesian square, fibered coproduct, or fibered sum), the colimit of a diagram consisting of two morphisms f : Z → X and g : Z → Y with a common domainor pushout, leading to a fibered sum in category theory; QCD sum rules, in quantum field theory
"Lẻ" is more in the south of Vietnam, while "linh" is more common in the north of Vietnam. Numbers 1,000–999,999. The Vietnamese word for thousand is ngàn (Southern) or nghìn (Northern). With the numbers 1,001–1,099, 2,001–2,099 and so on, the empty hundreds place must be specified with không trăm ("zero hundreds").
The topology allows for an efficient implementation of some basic communication primitives such as Broadcast, All-Reduce, and Prefix sum. [1] The processing elements are numbered 0 {\displaystyle 0} through 2 d − 1 {\displaystyle 2^{d}-1} .
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If my functional programming knowledge correctly serves me, the statement in the first section about prefix sum being the fold of addition is incorrect. I believe it is a scan of addition, however wikipedia does not have a page for scan. 128.138.230.183 15:14, 31 January 2012 (UTC)
Bùi Hoàng Việt Anh: Bùi Hoàng: Việt Anh (no middle name) B. H. Việt Anh BUI HOANG Viet Anh BUI HOANG V. A. Viet Anh BUI HOANG V. A. BUI HOANG [E] Tôn Nữ Thị Ninh: Tôn Nữ: Thị Ninh T. N. Thị Ninh T. N. T. Ninh [B] TON NU Thi Ninh TON NU T. N. Thi Ninh TON NU T. N. TON NU