Calculation of the tilts of curved lines
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F03%3A00008885" target="_blank" >RIV/00216224:14310/03:00008885 - isvavai.cz</a>
Alternative codes found
RIV/68081731:_____/03:12030008
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Calculation of the tilts of curved lines
Original language 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 about99 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 su
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Chemomometrics and Inteligent Laboratory Systems
ISSN
0169-7439
e-ISSN
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Volume of the periodical
67
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
9
Pages from-to
59-67
UT code for WoS article
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EID of the result in the Scopus database
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