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Description
  • Two methods for calculating a ratio of tilts of the curved lines are presented. The first one consists in singular value decomposition of the data matrix. If the variability in the data is caused by single effect, i.e., the first singular value is about 99 times larger than the second one, than the first loadings vector reflects the ratio of tilts. As the useful variants of this method the evolving and gliding calculation on the reduced data matrices were investigated. The other method comprises the Fourier transform of the data matrix. Only the first coefficient is used for each transformed vector of the data matrix. Its real and imaginary part can be calculated easy by multiplication and summation of suitable cosine and sine functions, respectively. In this cos-sine method each vector is represented by two co-ordinates (xf, yf) of a point and the whole data matrix can be visualised as a cluster of point which can be circumscribed by confidence ellipses. If the shorter half-axis in such an ellipse is
  • Two methods for calculating a ratio of tilts of the curved lines are presented. The first one consists in singular value decomposition of the data matrix. If the variability in the data is caused by single effect, i.e., the first singular value is about 99 times larger than the second one, than the first loadings vector reflects the ratio of tilts. As the useful variants of this method the evolving and gliding calculation on the reduced data matrices were investigated. The other method comprises the Fourier transform of the data matrix. Only the first coefficient is used for each transformed vector of the data matrix. Its real and imaginary part can be calculated easy by multiplication and summation of suitable cosine and sine functions, respectively. In this cos-sine method each vector is represented by two co-ordinates (xf, yf) of a point and the whole data matrix can be visualised as a cluster of point which can be circumscribed by confidence ellipses. If the shorter half-axis in such an ellipse is (en)
  • Two methods for calculating a ratio of tilts of the curved lines are presented. The first one consists in singular value decomposition of the data matrix. If the variability in the data is caused by single effect, i.e., the first singular value is about 99 times larger than the second one, than the first loadings vector reflects the ratio of tilts. As the useful variants of this method the evolving and gliding calculation on the reduced data matrices were investigated. The other method comprises the Fourier transform of the data matrix. Only the first coefficient is used for each transformed vector of the data matrix. Its real and imaginary part can be calculated easy by multiplication and summation of suitable cosine and sine functions, respectively. In this cos-sine method each vector is represented by two co-ordinates (xf, yf) of a point and the whole data matrix can be visualised as a cluster of point which can be circumscribed by confidence ellipses. If the shorter half-axis in such an ellipse is (cs)
Title
  • Calculation of the tilts of curved lines
  • Calculation of the tilts of curved lines (en)
  • Calculation of the tilts of curved lines (cs)
skos:prefLabel
  • Calculation of the tilts of curved lines
  • Calculation of the tilts of curved lines (en)
  • Calculation of the tilts of curved lines (cs)
skos:notation
  • RIV/00216224:14310/03:00008885!RIV08-MSM-14310___
http://linked.open.../vavai/riv/strany
  • 59-67
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z2065902), Z(MSM 143100011)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 600276
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/03:00008885
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • singular value decomposition; loadings; Fourier transformation; Fourier coefficients; confidence ellipses (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [7C7B0C7F251F]
http://linked.open...i/riv/nazevZdroje
  • Chemomometrics and Inteligent Laboratory Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 67
http://linked.open...iv/tvurceVysledku
  • Halámek, Josef
  • Holík, Miroslav
http://linked.open...n/vavai/riv/zamer
issn
  • 0169-7439
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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