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/cmr10/has greatly evolved in the past years [[]] [[]]
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/cmr10/[[]]
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/cmr10/[[]]. This
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/cmr10/in [[]]. 
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[]/cmtt10/> plot(amounts)                     # Produces Scatterplotmatrix in l
og-scale[] 
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[2] [3]
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/cmr10/Ellipses and straight lines are drawn here in Aitchi-son ge-om-e-try [[]
].
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[]/cmtt10/pie(mean(dat))            # Only one composition at a time can be dra
wn[] 
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[]/cmtt10/var(dat)              # variance in the clr-euclidean space structure
[] 
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[]/cmtt10/variation(dat)        # the variation matrix (i.e. var(log(x_i/x_j)))
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/cmr10/[[]]
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1 1 1 1 1 1[] 
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[] /cmtt10/[1]  89.86653  51.27057  54.28445  18.31066  31.19352  21.82243  39.
43808[] 
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[6]
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[]/cmtt10/> groupparts(rcomp(dat5),Cparts=c("Cu","Cd","Co"),Zparts=c("Zn"),Ppar
ts=c("Pb"))[] 
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[]/cmtt10/> groupparts(dat5,Cparts=c("Cu","Cd","Co"),Zparts=c("Zn"),Pparts=c("P
b"))[] 
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/cmr10/ap-proach is sim-pli-fi-ca-tion of the ap-proach in [[]],
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/cmr10/for-ma-tions de-fined for the Aitchi-son sim-plex /cmtt10/alr /cmr10/(ad
-di-tive log ration)[[]],
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/cmtt10/clr /cmr10/(cen-tered log ratio)[[]] and /cmtt10/ilr /cmr10/(iso-met-ri
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[9]
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/cmr10/are equipped with a scalar prod-uct and a norm [[]],
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[] /cmtt10/[1]  1.57164217  8.79155615  6.15968662  0.70970049  3.02654905  0.6
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/cmr10/The cen-tral idea of the pack-age -- fol-low-ing the co-or-di-nate ap-pr
oach of [[]]
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/cmr10/now. How-ever ref-er-ences are [[]], [[]],
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[]/cmtt10/# The other distance types '"euclidean"', '"maximum"', '"manhattan"',
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[]/cmtt10/discr <- lda(traingroups~.,data=idt(acomp(trainset,c("clay","sand","g
ravel"))))[] 
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[]/cmtt10/table(testgroups,predict(discr,newdata=idt(acomp(testset,c("clay","sa
nd","gravel"))))$class)[] 
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[]/cmtt10/barplot(ilr.inv(t(discr$scaling))) # Visualise the discrimination fun
ctions[] 
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[]/cmtt10/plot(acomp(sa.groups),col=predict(discr,idt(acomp(sa.groups,c("clay",
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[]/cmtt10/discr <- qda(traingroups~.,data=idt(acomp(trainset,c("clay","sand","g
ravel"))))[] 
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[]/cmtt10/discr <- fda(traingroups~.,data=idt(acomp(trainset,c("clay","sand","g
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/cmr10/Without con-clu-sion, but open-ing to fur-ther steps like barycen-tric c
o-or-di-nates (/cmtt10/endpointCoordinates/cmr10/)
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[]
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[]/cmr10/Billheimer, D. and Gut-
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