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  • 1
    Electronic Resource
    Electronic Resource
    Relationships between higher-order data array configurations and problem formulations in multivariate data analysis (1989)
    New York, NY : Wiley-Blackwell
    Journal of Chemometrics 3 (1989), S. 33-48 
    Details
    ISSN: 0886-9383
    Keywords: Higher-order data arrays ; Dimensionality ; Data modelling ; Classification ; Discrimination ; Correlation ; Regression ; Systematics of data analysis ; Opportunities for future developments ; Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: A scaffold for detailed understanding of the concept ‘dimensionality’ in data analysis is furnished by a systematic classification of higher-order data array configurations. Three major types of problem formulation in multivariate data analysis can be characterized for relevant data classes: 1data description (intra-class data structure modelling of inter-object and inter-variable relationships)2classification (inter-class discrimination)3correlation, regression (inter-variable relationships).The relationship between these three categories of data analytical problem formulation and the fundamental data array classification is exposed. These relations are augmented to include the general case of data arrays of order R, and R-way data analysis with the use of bilinear projections is presented. Based upon this, some possible directions for the future development of data analysis may be imagined.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cem.1180030106
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Structural analysis of hydroxy fatty acids by thermospray liquid chromatography/tandem mass spectrometry (1993)
    Chichester : Wiley-Blackwell
    Biological Mass Spectrometry 22 (1993), S. 302-310 
    Details
    ISSN: 1052-9306
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Thermospray liquid chromatography/tandem mass spectrometry provides a sensitive and convenient technique for the structural analysis of oxygenated polyunsaturates. Analysis of pentafluorobenzyl derivatives in the negative ion mode under the filament- or discharge-on condition generated abundant [M - PFB]- ions. These ions were further fragmented by collision with argon and detected in the negative ion mode. The negative ion fragmentation pattern was examined for various oxygenated polyunsaturated fatty acid standards as well as their deuterated and/or hydrogenated forms. Characteristic fragmentation occurs at the oxygenated C—C bonds, allowing unambiguous determination of the sites of oxygenation. The sample amount required is typically in the low tens of nanogram range. Using this method the structures of epoxy, hydroxy derivatives of 4,7,10,13,16,19-docosahexaenoic acid (22:6w3) formed by soybean lipoxygenase were determined. They were 13-hydroxy-16,17-epoxy-22:5w3 and 15-hydroxy-16,17-epoxy-22:5w3.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/bms.1200220506
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  • 3
    Electronic Resource
    Electronic Resource
    Raman spectra of tetramethylammonium-trimethylammonium mixed ion vermiculite clay intercalation compounds (1990)
    Chichester [u.a.] : Wiley-Blackwell
    Journal of Raman Spectroscopy 21 (1990), S. 103-107 
    Details
    ISSN: 0377-0486
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: The composition dependence of the Raman spectra of the mixed ion vermiculites [(CH3)4N+]1-x [(CH3)3NH+]x-V (V = vermiculite) have been studied in the range 0 ≤ x ≤ 1. The torsional mode frequencies exhibit a small shift (ca. 2 cm-1) to lower energy with increasing x and their composition dependence is distinct from that shown by the corresponding modes of Cs1-xRbx-V. These differences are attributed to a variation of the guest-host force constants and in particular to the interactions between the guest ions and the basal oxygens, which depend strongly on the size difference,ΔD, between the guest ion pairs. Using a van der Waals-type force model and the nearest neighbor approximation, the torsional mode frequencies of the pure end-member compounds of the two mixed ion systems discussed above have been successfully accounted for.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jrs.1250210207
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  • 4
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    Macroscopic Lagrangian description of warm plasmas. II Nonlinear wave interactions (1983)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: A macroscopic Lagrangian is simplified to the adiabatic limit and expanded about equilibrium, to third order in perturbation, for three illustrative cases: one-dimensional compression parallel to the static magnetic field, two-dimensional compression perpendicular to the static magnetic field, and three-dimensional compression. As examples of the averaged-Lagrangian method applied to nonlinear wave interactions, coupling coefficients are derived for interactions between two electron plasma waves and an ion acoustic wave, and between an ordinary wave, an electron plasma wave, and an ion acoustic wave.
    Keywords: PLASMA PHYSICS
    Type: Radio Science (ISSN 0048-6604); 18; 1369-137
    Format: text
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  • 5
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    Microscopic Lagrangian description of warm plasmas. IV - Macroscopic approximation (1983)
    In:  Other Sources
    Details
    Publication Date: 2011-08-18
    Description: The averaged-Lagrangian method is applied to linear wave propagation and nonlinear three-wave interaction in a warm magnetoplasma, in the macroscopic approximation. The microscopic Lagrangian treated by Kim and Crawford (1977) and by Galloway and Crawford (1977) is first expanded to third order in perturbation. Velocity integration is then carried out, before applying Hamilton's principle to obtain a general description of wave propagation and coupling. The results are specialized to the case of interaction between two electron plasma waves and an Alfven wave. The method is shown to be more powerful than the alternative possibility of working from the beginning with a macroscopic Lagrangian density.
    Keywords: PLASMA PHYSICS
    Type: Radio Science; 18; Mar
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  • 6
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    Simplified theory of large-amplitude wave propagation (1976)
    In:  CASI
    Details
    Publication Date: 2019-06-27
    Description: An orbit perturbation procedure was applied to the description of monochromatic, large-amplitude, electrostatic plasma wave propagation. In the lowest order approximation, untrapped electrons were assumed to follow constant-velocity orbits and trapped electrons were assumed to execute simple harmonic motion. The deviations of these orbits from the actual orbits were regarded as perturbations. The nonlinear damping rate and frequency shift were then obtained in terms of simple functions. The results are in good agreement with previous less approximate analyses.
    Keywords: PLASMA PHYSICS
    Type: NASA-CR-147229 , SU-IPR-582
    Format: application/pdf
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  • 7
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    Approximate theory of large-amplitude wave propagation (1977)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: An orbit perturbation procedure is applied to the description of monochromatic, large-amplitude, electrostatic plasma wave propagation. In the lowest-order approximation, untrapped electrons are assumed to follow constant-velocity orbits and trapped electrons are assumed to execute simple harmonic motion. The deviations of these orbits from the actual orbits are regarded as perturbations. The nonlinear damping rate and frequency shift are then obtained in terms of simple functions. The results are in good agreement with previous less approximate analyses. A significant feature of the analysis is that it treats a single wave by techniques previously applied to turbulent spectra. The analysis can consequently be extended to the case of a large-amplitude wave interacting with a lower-amplitude spectrum of waves.
    Keywords: PLASMA PHYSICS
    Type: Journal of Plasma Physics; 17; June 197
    Format: text
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  • 8
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    Microscopic Lagrangian description of warm plasmas. I - Linear wave propagation. II - Nonlinear wave interactions (1977)
    In:  Other Sources
    Details
    Publication Date: 2019-06-27
    Description: It is pointed out that the conventional iterative analysis of nonlinear plasma wave phenomena, which involves a direct use of Maxwell's equations and the equations describing the particle dynamics, leads to formidable theoretical and algebraic complexities, especially for warm plasmas. As an effective alternative, the Lagrangian method may be applied. It is shown how this method may be used in the microscopic description of small-signal wave propagation and in the study of nonlinear wave interactions. The linear theory is developed for an infinite, homogeneous, collisionless, warm magnetoplasma. A summary is presented of a perturbation expansion scheme described by Galloway and Kim (1971), and Lagrangians to third order in perturbation are considered. Attention is given to the averaged-Lagrangian density, the action-transfer and coupled-mode equations, and the general solution of the coupled-mode equations.
    Keywords: PLASMA PHYSICS
    Type: Radio Science; 12; Nov
    Format: text
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