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Second, the delta function can be eliminated, meaning that it can be replaced with a well-defined mathematical expression.
Because the point spread function of CT system is often unknown, the effects of point spread function can be eliminated by blind image restoration in the Bayesian framework.
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Improper functioning cells can be eliminated selectively by apoptosis in which mitochondria also play a cruxial role (Hengartner, 2000) or when escaping apoptosis, show signs of aneuploidy and become cancerous (Deusberg, 1998).
In doing so, the coupling of Lyapunov function and controller matrix can be eliminated effectively.
Now, due to the monotonicity of logarithmic function, i.e., if x>y, log2 x)>log2(y), the log function in the subsequent optimization problems can be eliminated.
Moreover, by taking an additional condition on the modulating functions, the term biasing the output can be eliminated in the obtained formula.
Hence, basis functions which corresponding coefficient is zero can be eliminated without sacrificing performance.
Further, reliable components are identified based on either the training bit statistics [12] or a reliability (RL) function [9] so that unreliable dimensions can be eliminated from bits' extraction.
However, a feature selection technique is incorporated in order to identify reliable components based on the training bit statistics [10] or a reliability function [5] so that unreliable dimensions can be eliminated from the overall bit extraction and the discretization performance can eventually be improved.
Since the derivatives of the density function (g(x)) in the quadrature formulas can be eliminated by means of the extrapolation method, the formulas can easily be applied to solving corresponding hyper-singular boundary integral equations.
These incorrect polygon slope units can be eliminated by using the 'dissolve' function and the 'integrate' function in GIS.
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