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S j is one such observation (spectrum) and μ i is the mean of all such observations of the i th class S{C}_b = {displaystyle sum_{i=1}^C}left({mu}_i-mu right){left({mu}_i-mu right)}^T.
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Therefore, the MRS observation spectra can be modeled as the mixture of the spectrum of each constitutional source metabolite.
where M is the number of observations (spectra).
The m objects are different observations (spectra) and the n variables are the measurements (wavenumbers) for each object.
Distance Metrics: In many multivariate algorithms the distance between observations (spectra) is an important part in defining the objective function of the algorithm.
The spectroscopic data can be displayed in the form of a matrix where the columns represent the wavenumbers/Raman Shifts (variables) and rows represent observations (spectra) i.e. each spectrum is represented by a row in the matrix [19 21, 52, 53].
The CIE LAB color data (L *, a *, and b * ) were calculated from the visible light reflection spectrum by Color CIE software (Perkin-Elmer, CIE D65 photo source, and 10° observation angle; the calculated spectrum range was 400 700 nm).
The observation of spectrum holes inspired the introduction to cognitive radio technologies.
An important problem is to design a medium access control (MAC) protocol that addresses the decentralized control and local observation for spectrum management.
Placing such devices in the apparatus would limit the field of vision and make simultaneous observation of spectrum and spatial pattern difficult.
The formation mechanism of the nano/microstructures was discussed on the basis of the X-ray photoelectron spectroscopic analyses, FT-IR scanning scanning electron microscopic observation, UV vis spectra, and cyclic voltammograms before and after the transformation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com