NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES

In this paper, we precise the asymptotic behavior of Newton polygons of L-functions associated to character sums, coming from certain n variable Laurent polynomials. In order to do this, we use the free sum on convex polytopes. This operation allows the determination of the limit of generic Newton polygons for the sum Δ = Δ1⊕Δ2 when we know the limit of generic Newton polygons for each factor. To our knowledge, these are the first results concerning the asymptotic behavior of Newton polygons for multivariable polynomials when the generic Newton polygon differs from the combinatorial (Hodge) polygon associated to the polyhedron.

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Determination of the Recent Tectonic Movements Using GPS and Insar Methods; The First Results From the Eastern Part of the Gediz Graben

Harita Teknolojileri Elektronik Dergisi ◽

10.15659/hartek.15.03.64 ◽

2015 ◽

Author(s):

Fatih POYRAZ ◽

Orhan TATAR ◽

Kemal Özgür HASTAOĞLU ◽

İbrahim TİRYAKİOĞLU ◽

Önder GÜRSOY ◽

...

Keyword(s):

First Results ◽

Tectonic Movements

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Solution of tetrahedron equation and cluster algebras

Journal of High Energy Physics ◽

10.1007/jhep05(2021)103 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

P. Gavrylenko ◽

M. Semenyakin ◽

Y. Zenkevich

Keyword(s):

Integrable System ◽

Cluster Algebra ◽

Newton Polygon ◽

Cluster Algebras ◽

Weyl Groups ◽

Newton Polygons ◽

Tetrahedron Equation ◽

Affine Weyl Groups ◽

New Formalism ◽

Bruhat Cell

Abstract We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations. As an application of the new formalism, we show how to construct an integrable system with the spectral curve with arbitrary symmetric Newton polygon. Finally, we embed this integrable system into the double Bruhat cell of a Poisson-Lie group, show how triangular decomposition can be used to extend our approach to the general non-symmetric Newton polygons, and prove the Lemma which classifies conjugacy classes in double affine Weyl groups of A-type by decorated Newton polygons.

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Observing UT1-UTC with VGOS

Earth Planets and Space ◽

10.1186/s40623-021-01396-2 ◽

2021 ◽

Vol 73 (1) ◽

Author(s):

Rüdiger Haas ◽

Eskil Varenius ◽

Saho Matsumoto ◽

Matthias Schartner

Keyword(s):

Standard Deviation ◽

Reference Frame ◽

Earth Rotation ◽

Space Observatory ◽

International Earth Rotation ◽

Onsala Space Observatory ◽

X Band ◽

First Results

AbstractWe present first results for the determination of UT1-UTC using the VLBI Global Observing System (VGOS). During December 2019 through February 2020, a series of 1 h long observing sessions were performed using the VGOS stations at Ishioka in Japan and the Onsala twin telescopes in Sweden. These VGOS-B sessions were observed simultaneously to standard legacy S/X-band Intensive sessions. The VGOS-B data were correlated, post-correlation processed, and analysed at the Onsala Space Observatory. The derived UT1-UTC results were compared to corresponding results from standard legacy S/X-band Intensive sessions (INT1/INT2), as well as to the final values of the International Earth Rotation and Reference Frame Service (IERS), provided in IERS Bulletin B. The VGOS-B series achieves 3–4 times lower formal uncertainties for the UT1-UTC results than standard legacy S/X-band INT series. The RMS agreement w.r.t. to IERS Bulletin B is slightly better for the VGOS-B results than for the simultaneously observed legacy S/X-band INT1 results, and the VGOS-B results have a small bias only with the smallest remaining standard deviation.

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Experimentelle Posenanalyse am Bearbeitungsroboter*/Pose dependancy of machining robots

wt Werkstattstechnik online ◽

10.37544/1436-4980-2016-05-61 ◽

2016 ◽

Vol 106 (05) ◽

pp. 347-353

Author(s):

A. Karim ◽

A. Waibel ◽

A. Lechler

Keyword(s):

Experimental Analysis ◽

Industrial Robots ◽

Machining Quality ◽

First Results ◽

Erste Ergebnisse

Die Verbesserung der Bearbeitungsqualität stellt einen aktuellen Forschungsschwerpunkt bei der spanenden Bearbeitung mit Industrierobotern dar. Dabei hängt die Bearbeitungsqualität des Werkstücks wesentlich von der eingenommenen Pose des Roboters ab. Der Fachbeitrag stellt die Durchführung einer experimentellen Analyse zur Bestimmung der Bearbeitungsqualität in unterschiedlichen Posen vor. Erste Ergebnisse werden ebenfalls präsentiert.   The improvement of machining quality is an actual focus of research in the area of machining with industrial robots. The machining quality that can be achieved is strongly dependant on the robot‘s pose. In the course of this paper the execution of experimental analysis for the determination of machining quality at different poses as well as first results are presented.

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Postoperative determination of the degree of carotid artery stenosis

Jornal Vascular Brasileiro ◽

10.1590/s1677-54492013000200007 ◽

2013 ◽

Vol 12 (2) ◽

pp. 129-132

Author(s):

J. Janzen ◽

P. Chenais ◽

W. Janzen ◽

F. Schibler ◽

J. Schmidli

Keyword(s):

Carotid Artery ◽

Carotid Artery Stenosis ◽

Artery Stenosis ◽

First Results ◽

Prototype Software

This article describes the VascMorph 1a prototype software and reports first results obtained with postoperative determination of the degree of stenosis in the carotid artery.

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Towards Nonlinear Wave Reconstruction and Prediction From Synthetic Radar Images

Volume 7: Ocean Engineering ◽

10.1115/omae2016-54496 ◽

2016 ◽

Cited By ~ 1

Author(s):

A. P. Wijaya

Keyword(s):

Vertical Direction ◽

Sea Surface ◽

Sea State ◽

Operational Effectiveness ◽

State Reconstruction ◽

Radar Images ◽

First Results ◽

Marine Radar ◽

Offshore Activities

The use of remotely wave sensing by a marine radar is increasingly needed to provide wave information for the sake of safety and operational effectiveness in many offshore activities. Reconstruction of radar images needs to be carried out since radar images are a poor representation of the sea surface elevation: effects like shadowing and tilt determine the backscattered intensity of the images. In [1], the sea state reconstruction and wave propagation to the radar has been tackled successfully for synthetic radar images of linear seas, except for a scaling in the vertical direction. The determination of the significant wave height from the shadowed images only has been described in [2]. This paper will summarize these methods, and provides the first results for the extension to nonlinear seas.

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Single-sided NMR for the measurement of the degree of cross-linking and curing

Journal of Sensors and Sensor Systems ◽

10.5194/jsss-7-21-2018 ◽

2018 ◽

Vol 7 (1) ◽

pp. 21-30 ◽

Cited By ~ 1

Author(s):

Norbert Halmen ◽

Christoph Kugler ◽

Eduard Kraus ◽

Benjamin Baudrit ◽

Thomas Hochrein ◽

...

Keyword(s):

Relaxation Times ◽

Curing Kinetics ◽

Cross Linking ◽

Scanning Calorimetry ◽

First Results ◽

Non Destructive ◽

Kinetics Of ◽

Good Agreement

Abstract. The degree of cross-linking and curing is one of the most important values concerning the quality of cross-linked polyethylene (PE-X) and the functionality of adhesives and resin-based components. Up to now, the measurement of this property has mostly been time-consuming and usually destructive. Within the shown work the feasibility of single-sided nuclear magnetic resonance (NMR) for the non-destructive determination of the degree of cross-linking and curing as process monitoring was investigated. First results indicate the possibility of distinguishing between PE-X samples with different degrees of cross-linking. The homogeneity of the samples and the curing kinetics of adhesives can also be monitored. The measurements show good agreement with reference tests (wet chemical analysis, differential scanning calorimetry, dielectric analysis). Furthermore, the influence of sample temperature on the characteristic relaxation times can be observed.

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