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The compilation of high-level quantum programs for the SQRAM machine is considered; we present templates for quantum assembly code and a method for decomposing matrices for complex quantum operations.
They concluded that simulation-based algorithms like the multiple-site segregation sampler LOKI [ 14] are efficient tools to calculate IBD matrices for complex pedigree structures.
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George et al. [ 13] have reported an extensive overview on algorithms to calculate IBD matrices even for complex pedigrees and incomplete marker information.
A building-block method, which gives the transmission and reflection matrices for a complex system from those of the parts, is applied to bifurcations, sudden area changes with or without extended inlets, and spherical obstacles (which may be lossy).
(In [15, 19] the authors consider the real matrices,. Nevertheless, it is conjectured that for complex matrices the following expression without in the prelog holds).
Here, denotes matrix transpose, and for complex conjugation and conjugate transposition, notations and are used, respectively.
In this study, a modified transfer matrix approach, valid for complex rotor-bearing systems, was developed to analyze the instability in unsymmetrical rotor-bearing systems.
This is especially relevant for complex matrices such as sediments, sludge, or biological matrices.
Validated confirmatory methods for complex matrices, like sediment and aquatic organisms' tissues, are very limited.
The proposed analytical method has shown to be useful in the determination of N-nitrosamines even for complex matrices.
Furthermore, for complex matrices such as environmental and food samples the methods are very limited[ 1].
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