Über kubische diophantische Gleichungen mit endlich vielen Lösungen

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Fourier transform measurements of H218O and HD18O in the spectral range 1000–2300 cm−1

The spectra of water vapor enriched by ¹⁸O were recorded in the 1000–2300 cm^?1 spectral range, which corresponds to the spectral region studied by IASI instrument (Infrared Atmospheric Sounding Spectrometer) instrument. The spectra were recorded by a step by step Fourier Transform Spectrometer (FTS) at room temperature with absorption path lengths up to 36 m. Positions, intensities and self broadening coefficients of about 1800 lines of H₂¹⁸O and 900 of HD¹⁸O were analyzed and all the transitions were assigned. This paper focuses on lines intensities and comparisons with data from literature are presented. An average difference of 10% with HITRAN2008 database H₂¹⁸O line intensities is found with a maximum discrepancy of about 25% for the ν₁–ν₂ band.     

Two Counter-moving Light Beams

The cylindrically symmetric field of two beamsof light shining in opposite directions is studied. Wepresent four static or stationary exact solutions of thecorresponding field equations and compare their properties.     

Ueber partielle Differentialgleichungen höherer Ordnung,die intermediäre erste Integrale besitzen

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Bemerkung über die Bessel'schen Functionen

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Ueber gewisse in der Theorie der A bel'schen Functionen auftretende Ausnahmefälle

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Small exponent asymptotics

We study the surprisingly complicated asymptotic character ofa simple first-order differential equation, which involves aterm with a low exponent of the dependent variable. While numericalsolutions and straightforward asymptotic expansions indicatea clearly defined boundary layer type transition, we find thatthe correct asymptotic structure involves a 'hidden' boundarylayer, and that a straightforward approach cannot discern this.