scholarly journals Finite gap conditions and small dispersion asymptotics for the classical periodic Benjamin–Ono equation

2020 ◽  
Vol 78 (4) ◽  
pp. 671-702
Author(s):  
Alexander Moll
Keyword(s):  
1997 ◽  
Vol 99 (3) ◽  
pp. 205-254 ◽  
Author(s):  
Cristina Vilma Turner ◽  
Rodolfo Ruben Rosales

A detailed investigation of the Raman bands for water in the solid and liquid states was first made by the author. Therein it was found that both ice and water give three sets of bands at λλ 4170, 4680 and 5105 A. U. respectively, corresponding to exciting mercury lines at λλ 3650, 4047 and 4358 A. U. The positions of these bands were not identical for ice and water. The former was found to give sharper bands and their shift form the original exciting line was less than for water. The mean infra-red absorptions corresponding to the bands for ice and water were 3·1 μ and 2·99 μ respectively. The above work was done with an instrument of very small dispersion, so that the structure of the band in either case could not be studied at all.


2004 ◽  
Vol 2 (3) ◽  
pp. 480-490 ◽  
Author(s):  
Zhivko Denchev ◽  
Nikola Nikolov

AbstractAn amperometric detector with a small thin mercury film electrode is described. The device demonstrates advantageous operational characteristics such as small dispersion (D<2) and “memory effect” (me<0.6%), extensive maximum sample frequency (msf −200 samples/h), and high sensitivity. It has been proven useful in flow-injection analysis at a constant potential under hydrodynamic conditions.


2021 ◽  
Vol 13 (5) ◽  
pp. 919
Author(s):  
Marco Gabella

A previous study has used the stable and peculiar echoes backscattered by a single “bright scatterer” (BS) during five winter days to characterize the hardware of C-band, the dual-polarization radar located at Monte Lema (1625 m altitude) in Southern Switzerland. The BS is the 90 m tall metallic tower on Cimetta (1633 m altitude, 18 km range). In this note, the statistics of the echoes from the BS were derived from other ten dry days with normal propagation conditions in winter 2015 and January 2019. The study confirms that spectral signatures, such as spectrum width, wideband noise and Doppler velocity, were persistently stable. Regarding the polarimetric signatures, the large values (with small dispersion) of the copolar correlation coefficient between horizontal and vertical polarization were also confirmed: the average value was 0.9961 (0.9982) in winter 2015 (January 2019); the daily standard deviations were very small, ranging from 0.0007 to 0.0030. The dispersion of the differential phase shift was also confirmed to be quite small: the daily standard deviation ranged from a minimum of 2.5° to a maximum of 5.3°. Radar reflectivities in both polarizations were typically around 80 dBz and were confirmed to be among the largest values observed in the surveillance volume of the Monte Lema radar. Finally, another recent 5-day data set from January 2020 was analyzed after the replacement of the radar calibration unit that includes low noise amplifiers: these five days show poorer characteristics of the polarimetric signatures and a few outliers affecting the spectral signatures. It was shown that the “historical” polarimetric and spectral signatures of a bright scatterer could represent a benchmark for an in-depth comparison after hardware replacements.


Author(s):  
Xiaoqun Qin

<p>In the face of the problem of high complexity of two-dimensional Otsu adaptive threshold algorithm, a new fast and effective Otsu image segmentation algorithm is proposed based on genetic algorithm. This algorithm replaces the segmentation threshold of the traditional two - dimensional Otsu method by finding the threshold of two one-dimensional Otsu method, it reduces the computational complexity of the partition from O (L4) to O (L). In order to ensure the integrity of the segmented object, the algorithm introduces the concept of small dispersion in class, and the automatic optimization of parameters are achieved by genetic algorithm. Theoretical analysis and experimental results show that the algorithm is not only better than the original two-dimensional Otsu algorithm, but also it has better segmentation effect.</p>


2020 ◽  
Vol 497 (4) ◽  
pp. 4614-4625
Author(s):  
Antonio Hernán-Caballero ◽  
Henrik W W Spoon ◽  
Almudena Alonso-Herrero ◽  
Evanthia Hatziminaoglou ◽  
Georgios E Magdis ◽  
...  

ABSTRACT We present a method for recovering the intrinsic (extinction-corrected) luminosity of the 11.2 μm PAH band in galaxy spectra. Using 105 high S/N Spitzer/IRS spectra of star-forming galaxies, we show that the equivalent width ratio of the 12.7 and 11.2 μm PAH bands is independent on the optical depth (τ), with small dispersion (∼5 per cent) indicative of a nearly constant intrinsic flux ratio Rint = (f12.7/f11.2)int = 0.377 ± 0.020. Conversely, the observed flux ratio, Robs = (f12.7/f11.2)obs, strongly correlates with the silicate strength (Ssil) confirming that differences in Robs reflect variation in τ. The relation between Robs and Ssil reproduces predictions for the Galactic Centre extinction law but disagrees with other laws. We calibrate the total extinction affecting the 11.2 μm PAH from Robs, which we apply to another sample of 215 galaxies with accurate measurements of the total infrared luminosity (LIR) to investigate the impact of extinction on L11.2/LIR. Correlation between L11.2/LIR and Robs independently on LIR suggests that increased extinction explains the well-known decrease in the average L11.2/LIR at high LIR. The extinction-corrected L11.2 is proportional to LIR in the range LIR = 109–1013 L⊙. These results consolidate L11.2 as a robust tracer of star formation in galaxies.


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