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In abstract interpretation-based static analysis, approximation is encoded by abstract domains.
This method was developed by Philip ([1993]) to estimate saturated hydraulic conductivity using Green-Ampt analysis approximation.
Later, this basic idea has been used in engineering, statistics, numerical analysis, approximation theory, and physics for many years (see, for example, [3 9] and [10]).
The Favard-Szász-Mirakjan operators are important and have been studied intensively, in connection with different branches of analysis, such as numerical analysis, approximation theory statistics etc.
We may add the following fields to this list: nonlinear functional analysis, approximation theory, optimization theory, fixed point theory, and some others; see Park [30].
The point u in the theorem above is called a best approximation point of f in K. Ky Fan's Theorem is of great importance in nonlinear analysis, approximation theory, game theory and minimax theorems.
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Further, compared with classical structural optimization by non-linear programming algorithms, including design sensitivity analysis, global approximation and mixed local-global approximation using neural networks were found to be far less efficient.
Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis.
To simplify the analysis, Gaussian approximation is used in our proposed system.
Based on the Fourier analysis an approximation of fractional derivatives through time-delayed samples is developed.
When applying fuzzy systems for data analysis, their approximation and interpretation capabilities are two important aspects.
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