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In the final step of generating the simulation data, we added Gaussian noise into each projection by using the commands FS, MO and ADD in SPIDER (Frank et al., 1996).
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Thresholding step can be integrated into the random projection step by using the modified random projection matrix (hat {mathbf {R}}): hat{mathbf{R}} = left[mathbf{R} - frac{underline{mathbf{1}}cdotmathbf{R}}{N}right], (18).
It is implemented in an R environment as the R package "FastICA" for performing ICA and Projection Pursuit by using the FastICA algorithm.
Second, the excitations within the solute were projected out by using the projection operator, where represents the excitations within the solute's MO space.
In the first decade, the 'assignment' method produced an estimate of 2489 ha of LSF structure, an amount lying at the upper tail of the projection interval created by using the bootstrapped or 'probabilistic' method.
More precise determination of the mating projection direction was aided by using the fluorescent dye ConA-Alexa-488 to label the growing projection; this dye did not perturb the directional sensing (Supporting Information, Fig. S2).
They suggested and analyzed some projection type iterative algorithms by using the prox-regular technique and auxiliary principle technique.
Cross-section images from tomography projection images were reconstructed by using the NRecon program package v.1.6.4.7 (SkyScan, Kontich, Belgium).
Verma [6], Chang et al. [7] and Huang and Noor [8] introduced and studied systems of nonlinear variational inequalities, and by using the projection operator technique, they proposed some projection iterative algorithms for solving these systems of variational inequalities.
The second one contains the ribosome (70S, PDB code: 4V7C) projections that are generated by using the electron microscopy simulation software InSilicoTEM (Vulovic et al., 2013), with the effects of contrast transfer function (CTF) and camera taken into account (Fig. 4B).
The projection model of the receiver can be determined by using the polynomial projection function [18].
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