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  • 1
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 22 (1900), S. 150-152 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 22 (1900), S. 218-220 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Journal of the American Chemical Society 22 (1900), S. 477-478 
    ISSN: 1520-5126
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 19 (1986), S. 1395-1404 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Computing 36 (1986), S. 335-342 
    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
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Computing 35 (1985), S. 219-229 
    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
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Computing 38 (1987), S. 261-267 
    ISSN: 1436-5057
    Keywords: 65D07 ; 41A15 ; Existence conditions ; construction os positive splines ; minimization of the curvature
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Unter positiver Interpolation wird die Aufgabenstellung verstanden, zur einer nichtnegativen Datenmenge nichtnegative Interpolierende zu konstruieren. Im Fallen rational-quadratischer Splines wird eine notwendige und hinreichende Bedingung für die Durchführbarkeit positiver Interpolation hergeleitet, und es wird gezeigt, daß diese sich bei passender Wahl der vorkommenden Parameter stets erfüllen läßt.
    Notes: Abstract A necessary and sufficient criterion is presented under which the property of positivity carry over from the data set to rational quadratic spline interpolants. The criterion can always be satisfied if the occuring parameters are properly chosen.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Computing 44 (1990), S. 245-258 
    ISSN: 1436-5057
    Keywords: 65D07 ; 41A15 ; Convex or monotone area true splines ; sufficient and necessary existence conditions ; construction of splines with minimal mean curvature
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Gegenstand der Arbeit ist die flächentreue Approximation von Histogrammen durch rational-quadratischeC 1-Splines unter Zusatzbedingungen wie Konvexität oder Monotonie. Für derartige Aufgaben werden hinreichende und notwendige Existenzbedingungen in algorithmischer Form angegeben, und es ergibt sich, daß sich diese Bedingungen bei konvexen oder monotonen Histogrammen durch passende Wahl der Rationalitätsparameter stets erfüllen lassen. Da die genannten Aufgaben, sofern überhaupt, im allgemeinen nicht eindeutig lösbar sind, werden Histosplines mit minimaler Gesamtkrümmung ermittelt.
    Notes: Abstract In this paper the area true approximation of histograms by rational quadraticC 1-splines is considered under constraints like convexity or monotonicity. For the existence of convex or monotone histosplines sufficient and necessary conditions are derived, which always can be satisfied by choosing the rationality parameters appropriately. Since the mentioned problems are in general not uniquely solvable histo-splines with minimal mean curvature areconstructed.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Der Anaesthesist 43 (1994), S. 510-520 
    ISSN: 1432-055X
    Keywords: Schlüsselwörter: Narkosebeatmung, Säuglinge – Kuhnsystem – Kinderkreissystem – Transkutane PO2/PCO2-Messung ; Key words: Anaesthesia, infants – Breathing systems – T-piece system, Paediatric circuit system – Ventilation modes – Face mask – Endotracheal tube – Transcutaneous PO2/PCO2
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Abstract. Monitoring of ventilation in infants is difficult and often not very reliable. In this study, transcutaneous measurement of blood gas tensions was used to investigate the influence of four different modes of ventilation on oxygenation and ventilation in anaesthetized infants. Methods. In a randomised study, transcutaneously measured PO2 (tcPO2) and PCO2 (tcPCO2) tensions were continuously registered in 42 ASA class I and II infants between 3 and 24 weeks of age undergoing minor surgical procedures (inguinal hernia repair). Two breathing systems combined with different modes of ventilation were evaluated: manual ventilation with Kuhn's T-piece system and face mask (group A; n=11) or endotracheal tube (group B; n=10); manual ventilation with paediatric circuit system and face mask (group C; n=11); and mechanical ventilation with paediatric circle system, endotracheal tube, and positive end-expiratory pressure (PEEP) 3 cm H2O (group D; n=10). Transcutaneous values were measured by a combined tcPO2/PCO2 electrode (E 5277, Radiometer). Anaesthesia was maintained by controlled ventilation with N2O/O2 (67%/33%) and halothane 0.5 – 1.5 vol.%. Surgical and anaesthetic techniques were standardized and the anaesthetist was blinded to the measured values. Results. Preoperative mean tcPO2 values while spontaneously breathing air ranged between 69 and 75 mm Hg in all patients. During anaesthesia and controlled ventilation (FiO2=0.33), there was a significant increase in tcPO2 (P〈0.01) in 3 groups: in groups A and D mean tcPO2 increased to 90 – 100 mm Hg and in group C to 110 – 120 mm Hg. In contrast, tcPO2 in group B reached only 75 – 80 mm Hg, which was not considered significant. Postoperatively, tcPO2 immediately reached baseline values in all patients (Fig. 2). Compared to preoperative values, the alveolar-tcPO2 difference (AtcDO2) significantly increased during anaesthesia in all groups (Fig. 3). The tcPCO2 measurements revealed marked alveolar dysventilation, with hyperventilation supervening in groups A, B, and D; in group C, however, most (7 of 11) infants were normoventilated (Fig. 4). Conclusions. Adverse effects of anaesthesia on pulmonary function in infants are caused by loss of the PEEP effect induced by the physiological subglottic stenosis. Endotracheal intubation and the increase in chest wall compliance during anaesthesia lead to a decrease in functional residual capacity (FRC) associated with premature airway closure and ventilation/perfusion mismatch. These pathophysiological disturbances result in a marked increase in AaDO2 and low arterial PO2 values despite high FiO2, as could be observed when intubated infants had been ventilated with a high-flow T-piece system (group B). Mechanical ventilation with a paediatric circuit system and endotracheal tube allows the use of low PEEP levels (group D), which may replace the lost subglottic function and partially restore the FRC. Ventilation by mask does not disturb the functional subglottic stenosis, and the impairment of pulmonary function will depend solely on the decrease in FRC caused by increased chest wall compliance (group A). If mask ventilation is combined with a paediatric circuit system (group C), the pressure relief valve produces a low PEEP of 2 to 3 cm H2O, which may partially counteract the decrease in FRC. With regard to oxygenation, the paediatric circle system proved to be superior to the high-flow T-piece system independent of whether children were ventilated via a face mask or an endotracheal tube. The group-specific differences in degree of dysventilation with manual ventilation show that the type of breathing system is important with regard to the size of the tidal volume delivered. Thus, tidal volumes will be unintentionally increased by the high fresh gas flow needed when a T-piece system is used. The lower flow and preadjusted pressure limit may prevent the delivery of excessive tidal volumes with the paediatric circuit system. The high incidence of dysventilation with mechanically controlled ventilation might be caused by the limited applicability of ventilation nomograms during anaesthesia for this age group.
    Notes: Zusammenfassung. In einer randomisierten Studie wurden bei 42 Säuglingen im Alter von 3 – 24 Wochen die transkutanen PO2(tcPO2)- und PCO2(tcPCO2)-Werte während kurzer operativer Eingriffe kontinuierlich registriert, wobei unterschiedliche Narkosebeatmungsverfahren zum Einsatz kamen: KUHN-System mit Maske (Gruppe A; n=11), KUHN-System mit Endotrachealtubus (Gruppe B; n=10), Kinderkreissystem mit Maske (Gruppe C; n=11); Kinderkreissystem mit Respirator (Gruppe D; n=10). Es wurde eine Inhalationsanästhesie mit 0,5 – 1,5 Vol% Halothan in N2O/O2 (67/33%) durchgeführt und kontrolliert beatmet. Narkoseverfahren und Rahmenbedingungen waren standardisiert und der ausführende Anästhesist konnte die Meßwerte nicht einsehen. Präoperativ lag der tcPO2 bei Raumluftatmung in allen Gruppen zwischen 69 – 75 mm Hg. Während Narkosebeatmung kam es in den Gruppen A, C und D zu einem signifikanten (p〈0,01) Anstieg des tcPO2 auf 90 bis 120 mm Hg, in Gruppe B ergab sich eine nur geringe, nicht signifikante Zunahme auf 75 – 80 mm Hg. Nach Narkoseende wurden in allen Gruppen wieder die Ausgangswerte erreicht. Allgemein kam es zu einer signifikanten Zunahme der alveolotranskutanen Sauerstoffdruckdifferenz (AtcDO2) während Anästhesie. Die Ergebnisse zeigen, daß die Art des Narkosebeatmungsverfahrens die Oxygenierung unterschiedlich beeinflußt, wobei das Kinderkreissystem dem Spülgassystem überlegen ist. Die tcPCO2-Messung erbrachte eine erhebliche alveoläre Dysventilation, wobei die Hyperventilation überwog. Die gruppenspezifischen Unterschiede im Grad der Dysventilation weisen darauf hin, daß die Art des Narkosesystems eine wesentliche Rolle bei der Generierung des Atemhubvolumens spielt.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 64 (1986), S. 65-67 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The hydrodynamic radiusR H and the radius of gyrationR G are calculated for a model of a colloidal aggregate, which assumes a spherically symmetric density distribution of the colloidal particles as $$c(r) \sim r^{ - (3 - d_f )} $$ is the fractal dimension.
    Type of Medium: Electronic Resource
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