Ein Axiomensystem der Methode der kleinsten Quadrate

Ohne Zusammenfassung     

Sur la généralisation du problème de Dirichlet

Sans résumé     

Über geometrische Wahrscheinlichkeit und über das Axiom der beschränkten Arithmetisierbarkeit der Beobachtungen

Ohne Zusammenfassung     

Untersuchungen aus der Mengenlehre

Ohne ZusammenfassungDer gegenwärtige Abdruck meiner Inaugural-Dissertation, die im Jahre 1901 erschienen ist, ist bis auf einige Verbesserungen und Bemerkungen hinsichtlich der seitdem erschienenen Arbeiten, die auf den Gegenstand Bezug haben, eine unveränderte Wiedergabe des bisherigen Textes.     

Sur la déformation des surfaces

Sans résumé     

Lateralization of low-frequency tones: relative potency of gating and ongoing interaural delays.

Several types of interaural delay can affect the lateral position of binaural signals. Delays can occur within the gating (onset and/or offset) or ongoing portions of the signal, or both. Extent of laterality produced by each of these delays was measured for low-frequency tones with an acoustic pointing task. Relative potency was assessed by presenting the delays singly or in combinations (where the types of delay were consistent or in opposition). Rise/decay time, duration, and frequency of the tonal targets were also varied. The major finding was that ongoing delays were much more potent than gating delays in determining extent of laterality. Gating delays were most effective when the interaural phase of the ongoing portion of the tones was more or less ambiguous with respect to which ear was leading. Many of our findings are qualitatively well described by considering properties of patterns of activity produced within a cross-correlation network by such interaurally delayed signals.     

Fluctuating emission from molecular vibrational-rotational bands

Fluctuating molecular vibrational-rotational band emission from an unsteady temperature field is formulated in terms of the intensity of the temperature fluctuation and the temperature total sensitivity function of the spectral radiance of a thin, isobaric layer. By examining the contributions of layer-density dilation, Planck's function and molecular spectral absorptivity, it is shown that this total sensitivity function can be either positive or negative with respect to layer temperature depending upon mean temperature and spectral region. The 4.3-μm CO₂ band is examined to illustrate these results and a simple quantum mechanical model is presented to estimate these effects in the general case.     

Synthesis of N-substituted aziridine-2-carboxylates

The synthesis of the methyl esters of N-methoxycarbonyl- and N-benzyloxycarbonylaziridine-2-carboxylic acid 2 by reacting methyl 2-chloro-N-carbalkoxyglycinate 1 with diazomethane is described. The aziridines were readily converted to derivatives of O-methylserine 5 and S-methylcysteine 6.     

Asymmetric ultra-short pulse splitting measured in air using FROG

Frequency-resolved optical gating is used to measure non-linear ultra-short pulse propagation in air over a distance of up to 4.35 m. During spatial collapse of the pulse, both pulse steepening and asymmetric pulse splitting are observed to occur at a power level of about 14 GW and at a propagation distance less than the diffraction length. Received: 10 April 2002 / Published online: 12 July 2002