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Reduced residue system. In mathematics, a subset R of the integers is called a reduced residue system modulo n if: gcd ( r, n) = 1 for each r in R, R contains φ ( n) elements, no two elements of R are congruent modulo n. [1] [2] Here φ denotes Euler's totient function . A reduced residue system modulo n can be formed from a complete residue ...
Barrett reduction is an algorithm designed to optimize this operation assuming is constant, and , replacing divisions by multiplications. Historically, for values , one computed by applying Barrett reduction to the full product . Recently, it was shown that the full product is unnecessary if we can perform precomputation on one of the operands.
The constants R mod N and R 3 mod N can be generated as REDC(R 2 mod N) and as REDC((R 2 mod N)(R 2 mod N)). The fundamental operation is to compute REDC of a product. When standalone REDC is needed, it can be computed as REDC of a product with 1 mod N. The only place where a direct reduction modulo N is necessary is in the precomputation of R ...
Modular forms modulo. p. In mathematics, modular forms are particular complex analytic functions on the upper half-plane of interest in complex analysis and number theory. When reduced modulo a prime p, there is an analogous theory to the classical theory of complex modular forms and the p -adic theory of modular forms .
Model order reduction aims to lower the computational complexity of such problems, for example, in simulations of large-scale dynamical systems and control systems. By a reduction of the model's associated state space dimension or degrees of freedom, an approximation to the original model is computed which is commonly referred to as a reduced ...
Bristow Helicopters operate a large fleet of 490 helicopters and fixed-wing aircraft. In 2015 it operated 24 helicopter types, however as a result of their restructure due to previous financial difficulties it now operates approximately six types, a significant reduction.
Low-density parity-check (LDPC) codes are a class of highly efficient linear block codes made from many single parity check (SPC) codes. They can provide performance very close to the channel capacity (the theoretical maximum) using an iterated soft-decision decoding approach, at linear time complexity in terms of their block length.
Clock speed reduction. As the T3 uses a 400 MHz processor, using the same 900 mAh battery from the T1 and T2 just doesn't cut it. The best way to extend the battery life of a T3 easily, is to use underclocking software like PXA clocker, Lightspeed or Warpspeed. This can give about 5-6 hours of runtime.