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  • 1
    Electronic Resource
    Electronic Resource
    Convexity preserving interpolation with exponential splines (1986)
    Springer
    Computing 36 (1986), S. 335-342 
    Details
    ISSN: 1436-5057
    Keywords: 65D07 ; 41A15 ; 90C20 ; Convexity conditions ; weakly coupled system of inequalities ; numerical algorithms ; quadratic programming ; unconstrained dual program with tridiagonal Hessian
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Während die Aufgabe der konvexen Interpolation im Falle kubischer Splines im allgemeineen nicht lösbar ist, kann jetzt gezeigt werden, daß sie bei Verwendung von Exponentialsplines Lösungen besitzt sofern die vorkommenden Parameter hinreichend roß sind, und es werden konkrete hinreichende und notwendige Lösbarkeitsbedingungen hergeleitet. Da eindeutige Lösbarkeit in der Regel nicht vorliegt, wird eine Auswahlfunktion eingeführt und das entstehende quadratische Optimierungsproblem nach Dualisierung numerisch behandelt.
    Notes: Abstract Sufficient and necessary conditions are derived under which interpolating splines are convex if the data set is in convex position. In order to select one of the interpolants, by means of a well-known objective function a quadratic optimization problem is stated which can be solved effectively by passing to a dual program.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02240208
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  • 2
    Electronic Resource
    Electronic Resource
    An unconstrained dual program for computing convexC 1-spline approximants (1987)
    Springer
    Computing 39 (1987), S. 133-140 
    Details
    ISSN: 1436-5057
    Keywords: 65D10 ; 41A15 ; 90C20 ; Specially structured optimization problem ; Fenchel dualization ; return-formula
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es wird die Aufgabe betrachtet, eine vorgegebene Datenmenge durch konvexe kubischeC 1-Splines zu approximieren. Zu diesem Problem wird eine zugehörige duale Optimierungsaufgabe konstruiert, welche den Vorteil hat, daß keine Nebenbedingungen auftreten, und welche sich daher effektiver als das Ausgangsproblem numerisch behandeln läßt.
    Notes: Abstract In the present paper the problem of approximating given data sets by convex cubicC 1-splines is considered. To this programming problem a dual program is constructed which is unconstrained. Therefore an efficient computational treatment is possible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02310102
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  • 3
    Electronic Resource
    Electronic Resource
    Convex spline interpolants with minimal curvature (1985)
    Springer
    Computing 35 (1985), S. 219-229 
    Details
    ISSN: 1436-5057
    Keywords: 65K05 ; 65D07 ; 90C20 ; 41A15 ; Existence conditions ; quadratic programming ; dual optimization problem ; tridiagonal Hessian ; Newton's method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Das Problem, konvexe Interpolationssplines mit minimaler mittlerer Krümmung zu ermitteln, führt auf eine speziell strukturierte quadratische Optimierungsaufgabe. In der vorliegenden Note wird eine zugehörige duale Aufgabe aufgestellt, die ohne Nebenbedingungen auskommt, deren Zielfunktion stückweise quadratisch ist und die daher eine effektive numerische Behandlung erlaubt.
    Notes: Abstract The problem of finding convex spline interpolants with minimal mean curvature leads to a quadratic optimization problem of special structure. In the present note a corresponding dual problem without constraints is derived. Its objective function is piecewise quadratic and therefore admits an effective numerical treatment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02260507
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  • 4
    Electronic Resource
    Electronic Resource
    4. Capitel. Ueber isomere Diacetbernsteinsäuren (1896)
    Weinheim : Wiley-Blackwell
    Liebigs Annalen 293 (1896), S. 101-106 
    Details
    ISSN: 0075-4617
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jlac.18962930111
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  • 5
    Electronic Resource
    Electronic Resource
    Anionen-Massenspektroskopie von Naturstoffen. VII. Vergleichende Anionen-kationenmassenspektroskopische Untersuchungen von Cumarin-Derivaten (1977)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 319 (1977), S. 767-774 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Anion Mass Spectroscopy of Natural Products. VII. Comparative Anion-cation Mass Spectroscopic Investigations of Coumarin DerivativesElectron attachment mass spectra (2-4eV) of some simple coumarins and furanocoumarins have been studied in comparison with their respective cation mass spectra. The possibility of distinguishing of some isomeric pairs is discussed.
    Notes: Die Elektronenanlagerungs-Massenspektren (2-4 eV) von einigen einfachen Cumarinen und Furanocumarinen sind im Vergleich zu ihren entsprechenden Kationenmassenspektren untersucht worden. Die Möglichkeit der Unterscheidung einiger Isomerenpaare wird diskutiert.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19773190512
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  • 6
    Electronic Resource
    Electronic Resource
    Massenspektroskopische Untersuchungen positiver und negativer lonen von 3,5-disubstituierten 1,2,4-Thiadiazolen (1985)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 327 (1985), S. 1017-1022 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Comparative Positive and Negative Ion Mass Spectroscopy of 3,5-Disubstituted 1,2,4-Thiadiazoles
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19853270621
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  • 7
    Electronic Resource
    Electronic Resource
    Massenspektroskopie von Naturstoffen. XIII. Massenspektroskopische Untersuchungen von A-nor-Allobetulanen (1981)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 323 (1981), S. 654-660 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Mass Spectroscopy of Natural Products. XIII. Mass Spectroscopic Investigations of A-nor-AllobetulanesThe mass spectroscopic fragmentation behaviour of A-nor-allobetulanes with several substituents at C-2 is discussed. The skeleton fragmentation is comparable to that of C-3-substituted allobetulanes. The nature of the substituent at C-2 influences both the abundance of typical skeleton fragments and the formation of specific ions.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19813230418
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  • 8
    Electronic Resource
    Electronic Resource
    Massenspektrometrisches Fragmentierungsverhalten ausgewählter Push-Pull-Alkene (1991)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 333 (1991), S. 131-134 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Mass Spectrometric Behaviour of the Fragmentation of Selected Push-Pull Alkenes.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19913330130
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  • 9
    Electronic Resource
    Electronic Resource
    Massenspektroskopie von Naturstoffen. VII. Massenspektroskopische Untersuchungen von C-3-substituierten stickstoffhaltigen Friedelanen (1980)
    New York, NY : Wiley-Blackwell
    Journal für Praktische Chemie/Chemiker-Zeitung 322 (1980), S. 695-700 
    Details
    ISSN: 0021-8383
    Keywords: Chemistry ; Organic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Mass Spectroscopy of Natural Products. VII. Mass Spectroscopic Studies of C-3-substituted Nitrogen Containing Friedelanes
    Additional Material: 1 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/prac.19803220424
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