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It must be able to perform measurements at low frequencies with no bias to provide an additional observable of interest.
This selection criterion is a combined parameter based on a time scale and sensitivity analysis, identifying both short lived species and species with respect to which the observable of interest has low sensitivity.
As for the observable of interest, consider the net magnetization (S_{z}) again.
The quantum simulation model ({H_{5}, M_{s}}) with open boundary conditions on the lattice has several symmetries despite the complicated form of the observable of interest.
Note that since n is odd, all these symmetry transformations take odd (even) labeled spins to odd (even) labelled spins, and hence leave the observable of interest invariant.
Define a quantum simulation model, notated ((H, O)), as consisting of a Hamiltonian H and an observable of interest O (both Hermitian operators).
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We assess the impact of different approximations of the dielectric response on the observables of interest for the characterization of carbon-based materials.
We have then examined the evolution of the ensemble-averaged observables of interest as a function of the average chord length of the random geometries, which is roughly proportional to the correlation length of the fuel fragmentation.
Construction of stochastic models that describe the effective dynamics of observables of interest is an useful instrument in various fields of application, such as physics, climate science, and finance.
This document summarizes the operation and performance of the polarized target, polarized electron beam, and novel detector systems used during the course of the experiment, and describes analysis techniques utilized to access the physics observables of interest.
Two observables of interest in this model are the net transverse magnetization (S_{z} = sum_{i=1}^{n} sigma_{z}^{i}) and two-point correlation functions (C_{z}(i,j) = sigma_{z}^{i}sigma_{z}^{j}).
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