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Many clustering techniques such as principal component analysis and hierarchical cluster analysis have been employed to analyze chemical data for pattern recognition.

To date sensitivity, bifurcation and singularity analysis have been employed to identify and characterize the qualitative nonlinear behaviour of chemical process systems.

Quantitative measurements of film compositions, by ion beam analysis, have been employed to determine the loss of film species, with film morphologies examined by transmission electron microscopy.

Many methods of nonlinear analysis have been employed to research this problem; see [6, 15 18].

In this study, also, in the interest of completing the former studies, the principles of incremental dynamic analysis have been employed.

Then, diverse physiochemical techniques, such as X-ray diffraction (XRD), transmission electron microscopy (TEM), Raman spectroscopy, X-ray photoelectron spectroscopy (XPS), inductively coupled plasma (ICP), elemental analysis (EA), and extended X-ray absorption fine structure (EXAFS) analysis, have been employed to understand the results.

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Univariate analysis has been employed successfully in many neuroimaging studies.

The BET analysis has been employed to study the surface area of synthesized nanostructures.

High resolution EBSD analysis has been employed to measure the boundary misorientations within the deformation structures.

Sensitivity analysis has been employed to highlight the important reactions of nitrogenous species in each system.

In addition, deuterium NMR analysis has been employed to study the mobility of water absorbed.

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