Download Chemometrics in Excel by Alexey L. Pomerantsev PDF
By Alexey L. Pomerantsev
Supplying a simple clarification of the basics, equipment, 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 correct calculations
• offers the fundamental chemometric equipment as worksheet features in Excel
Read or Download Chemometrics in Excel PDF
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Extra info for Chemometrics in Excel
R. Gantmacher, Matrix Theory, vol. 2, American Mathematical Society, Providence, Rhode Island, 2000. ∗ With contributions from Oxana Rodionova. Chemometrics in Excel, First Edition. Alexey L. Pomerantsev. © 2014 John Wiley & Sons, Inc. Published 2014 by John Wiley & Sons, Inc. 15 16 FURTHER READING ON CHEMOMETRICS* 4. P. G. S. Hunter. , NY, 1978. 5. W. Anderson. An Introduction to Multivariate Statistical Analysis, 3rd Edition, John Wiley, NY, 2003. 6. R. Draper, H. Smith. Applied Regression Analysis, 3rd Edition, John Wiley, NY, 1998.
Two matrices of the same dimension can be added and subtracted element-wise. See Fig. 3 for an example. The result of the scalar-matrix multiplication and the matrix–matrix addition is a matrix of the same dimension. A zero matrix is the matrix consisting of zeros. It is denoted by O. Obviously, A + O = A, A − A = O, and 0A = O. A matrix can be transposed. During this operation, the matrix is flipped over, that is, the matrix rows and columns are swapped. 2 Multiplication by a number. 3 Matrices addition.
If the basis vectors are also normalized, then the basis is said to be orthonormal. 14 Geometric Interpretation A geometrical interpretation can be given for a vector space. Let us imagine the N-dimensional space in which the basic vectors determine the direction of the coordinate axes. Then any vector x = (x1 , x2 , … , xN )t can be represented in this space by a point with the coordinates (x1 , x2 , … , xN ). 25 illustrates the coordinate space. 15 Nonuniqueness of Basis A linear space can have an unlimited number of bases.