Zwei Bemerkungen zur abstrakten und kombinatorischen Topologie

Ohne Zusammenfassung     

Zur Axiomatik der Elementargeometrie

Ohne Zusammenfassung Die Anregung zu dieser Arbeit verdanke ich einer von Prof. K. Menger im Sommersemester 1928 an der Wiener Universit?t gehaltenen Vorlesung.     

Zerlegung einer Funktion in Gaußsche Fehlerkurven und zeitliche Zurückverfolgung eines Temperaturzustandes

Ohne Zusammenfassung     

Integration von Differentialgleichungen vermittels der endlichen Fourier-Transformation

Ohne Zusammenfassung     

γ5-Invarianz und starke Wechselwirkungen

In a previous letter⁶ a generalizedγ ₅-invariance for strong interactions has been proposed and some consequences of this invariance have been outlined. The present paper contains the detailed proof and discussion of these consequences. For the baryon-pion interactions one obtains two possible forms for the coupling:

1. a)
   The coupling is determined by the total I-spin vector current and contains no directΛ∑π-coupling. This interaction turns out to be strictly parity conserving even in the presence of electromagnetic and I-spin invariantK-meson couplings.     

Theory of proton-transfer reactions. Anomalous Brønsted coefficients of the reaction between 9-alkylfluorene and (9-alkylfluorenyl) lithium

The Brønsted plots of the proton-transfer reactions between 9-alkylfluorene and (9-alkylfluorenyl)lithium are analyzed in terms of the quantum-statistical mechanical rate theory. The anomalous values of the Brønsted coefficients can be explained by taking into account the variation in both steric hindrance and the free energy of the reaction within one reaction series.