Sentence examples for residue system from inspiring English sources

In each local station, first the overall large-scale system is split into two related subsystems: the i-th subsystem and the residue system (aggregation of other subsystems); then a low order dynamic model, closed to the dynamics of the main system, is considered for the interaction estimator.

This time, for any integer a with ( a, p ) = 1, we have a r k ≡ a mod p. If a passes through a reduced residue system modp, then a r also passes through a reduced residue system modp.

If q has a primitive root, then each reduced residue system mod q can be expressed as a geometric progression.

So, from the definition of Gauss sums and the properties of a complete residue system mod p α and trigonometric sums, we have ∑ a = 1 p α χ ( a ) e ( a p α ) = ∑ r = 0 p − 1 ∑ a = 1 p α − 1 χ ( r p α − 1 + a ) e ( r p α − 1 + a p α ) = ∑ a = 1 p α − 1 χ ( a ) e ( a p α ) ∑ r = 0 p − 1 e ( r p ) = 0.

Soil nematode and microbial community composition in different tillage and residue systems were investigated in a 12-year old field experiment in Hainan Island.

This gives a powerful tool that can be used in problems involving reduced residue systems.

Residue number system (RNS), a parallel number system, is based on Chinese remainder theorem (CRT), which divides a large integer into several independent and parallel smaller ones with a specific modulus set.

Multi-modulus architectures, that is, architectures that can deal with more than one modulo cases, are very useful for reconfigurable processors and fault-tolerant systems that are based on the residue number system (RNS).

The second paper, "Residue number system arithmetic assisted coded frequency-hopped OFDMA," presents a residue number system arithmetic-based frequency-hopped (FH) pattern design.

Aiming at reducing the PAPR, we propose a residue number system (RNS -based OFDM paRNS -basednsmissiOFDMcheme.

In this paper, we present the power-performance enhancement of a two-dimensional (2D) discrete wavelet transform (DWT) image processor using the residue number system (RNS) and the static voltage scaling (SVS) scheme.