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【正文】 峰 9為苯并 [a]蒽和屈 ， 峰 14為苯并芘和二苯并蒽的二組分重疊峰Peaks 5 and 6 in the plot峰 峰 6的演進(jìn)特征投影圖峰 5的 前 5個(gè)特征值依次為 16382， 2436， 1294， 22， 11分辨所得的 芴 、苊、菲、蒽的色譜與光譜 Giddings in “Statistical theory of ponent overlap in multiponent chromatograms” claimed thatl It is shown that, relative to the maximum peak content or peak capacity for closely spaced peaks, a random chromatogram will never contain more than about 37% of its potential peaks and, worst of all from an analytical point of view, 18% of its potential singleponent peaks.l The number of observed peaks is not, then, the same as the number of distinct chemical ponents. The loss of analytical information resulting from this overlap is by itself serious, but the severity of the problem is greatly magnified if we do not have a good estimate of the magnitude of the loss. Anal. Chem. 1983, 55, 418424 Application to environmental chemistryl PAHs represent a class of anic pollutants that are widely found in the environment. They have been shown to exert a very strong carcinogenic action on animals. l This is an example for qualitative and quantitative analysis of PAHs in airborne particulates in Hong Kong city by the chemometric resolution method. HELP 分辨 直觀推導(dǎo)式演進(jìn)特征投影法充分利用了二維數(shù)據(jù)的色譜信息和波譜化學(xué)信息，以逐步推導(dǎo)的方式分辨各組分的純色譜和波譜 。followingusewespectrahaveA=CStlIflEigenstructure tracking analysis (ETA)lEvolving latent projectionsEvolving Factor AnalysisEvolving factor analysisFixsized Moving Window Evolving Factor Analysis(FSMWEFA)Fixsized Moving Window Evolving Factor Analysis(FSMWEFA)Some problems with local factor analysislLocal rank lZero ponent regions, lWindow size lEigenstructure tracking analysislRank map and local data structurelEvolving latent projectionsPrincipal Component analysis and Latent projectionsEvolving latent projectionsSelective information and Evolving latent projections Zero ponent region and noise levelA simple exampleResolution into pure chromatograms and spectralBecausethetovalueuseCanponenttoyoutechniqueit.ponentsmanyareknowneedhand,matrixaSingle value depositionQuestion 2lWebyproblemthroughlet’sponenttechnique:algebra。andneedanalysis?l Thus,thetheyhownoises2.How can we find the rank of a matrix with measurement noise?l Whatshouldoftheatothecollectifchanged。iscertain,isal RankchemicalLinearly independentl The two spectra are from two different chemical pounds, so they are independent with each otherl Seven spectra are all from the spectra of the two chemical pounds, so they are dependent upon the concentrations of the two pounds in the mixtureMixture number and pound numberRank of a matrix= the number of the chemical ponents in the mixture?l Unchangedspectra。arebluespectra。thevectorslTwopoundaquantification)lIs it possible? lYes, if we have the twoway data!!Mixture spectra and pound spectralThis step A) 2,ci chemical of concentrationqualifications)stepA)2,sichemicalofAl Thechemicalof||a||=(a12+….+a n2)1/2different ratios between them can defines different directions in linear subspaceSubtraction of two vectors defines the distance between the two points in n dimensional spaceNumerical multiplication of vectorsThe spectra of different concentrationsInner product and outer product between the vectors Inner or dot product between two vectors producing a numberGeometric sense of inner product between two vectorsInner product and projection between vectorsOuter product between two vectors producing a bilinear matrix, which is of special importance in multivariate resolutionWhat is the chemical meaning of rank of a matrix?l Linearly independent?l Rank of
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