By Alexey L. Pomerantsev

Supplying a simple clarification of the basics, tools, and functions of chemometrics
• Acts as a realistic consultant to multivariate facts research techniques
• Explains the equipment utilized in Chemometrics and teaches the reader to accomplish all suitable calculations
• provides the fundamental chemometric equipment as worksheet capabilities in Excel

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8. G. Brereton. Chemometrics: Data Analysis for the Laboratory and Chemical Plant, Wiley, Chichester, UK, 2003. 3 Supplements 1. L. G. C. Buydens, S. J. Lewi, J. Smeyers-Verbeke. Handbook of Chemometrics and Qualimetrics Part A, Elsevier, Amsterdam, 1997. 2. R. Pratap. Getting Started with MATLAB® , Oxford University Press, USA, 2009. 3. R. Kramer. Chemometric Techniques for Quantitative Analysis, Marcel-Dekker, NY, 1998. 4. T. Chau. Chemometrics From Basics to Wavelet Transform, John Wiley & Sons, Hoboken, New Jersey, 2004.

8. R. J. B. Seasholtz. , 1998. JOURNALS 17 9. J. Adams. Chemometrics in Analytical Spectroscopy, RSC, Cambridge, UK, 1995. 10. W. W. Zweinziger, S. Geiß. Chemometrics in Environmental Analysis, Wiley-VCH, Weinheim, 1997. 11. H. Mark, J. Workman. Chemometrics in Spectroscopy, Elsevier, Amsterdam, 2007. 12. A. Smilde, R. Bro, P. Geladi. Multi-Way Analysis with Applications in the Chemical Sciences, Wiley, Chichester, UK, 2004. 13. B. Walczak. Wavelets in Chemistry, Elsevier, Amsterdam, 2000. 14. K.

Vector v is said to be the eigenvector of matrix A, if Av = ????v, where number ???? is said to be the eigenvalue of matrix A. Thus, the multiplication of matrix A by eigenvector v can be replaced by a simple scaling of v by eigenvalue ????. An eigenvector is defined up to a factor ???? ≠ 0, that is, if v is an eigenvector, then ????v is also an eigenvector. 7 Eigenvalues Matrix A of dimension (N × N) can have no more than N eigenvalues. They satisfy the characteristic equation det(A − ????I) = 0, which is an algebraic equation of the N-th order.

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