scholarly journals Some hypergeometric transformations and reduction formulas for the Gauss function and their applications involving the Clausen function

2021 ◽  
Vol 5 (6) ◽  
Keyword(s):  
Clausen Function ◽  
Gauss Function

scholarly journals Monitoring Hybrid Rice Phenology at Initial Heading Stage Based on Low-Altitude Remote Sensing Data

2020 ◽  
Vol 13 (1) ◽  
pp. 86
Author(s):  
Yi Ma ◽  
Qi Jiang ◽  
Xianting Wu ◽  
Renshan Zhu ◽  
Yan Gong ◽  
...  
Keyword(s):  
Remote Sensing ◽  
Air Temperature ◽  
Hybrid Rice ◽  
Remote Sensing Data ◽  
Rice Cultivars ◽  
Sensing Data ◽  
Gauss Function ◽  
Low Altitude ◽  
Rice Phenology ◽  
Heading Stage

Accurate monitoring of hybrid rice phenology (RP) is crucial for breeding rice cultivars and controlling fertilizing amount. The aim of this study is to monitor the exact date of hybrid rice initial heading stage (IHSDAS) based on low-altitude remote sensing data and analyze the influence factors of RP. In this study, six field experiments were conducted in Ezhou city and Lingshui city from 2016 to 2019, which involved different rice cultivars and nitrogen rates. Three low-altitude remote sensing platforms were used to collect rice canopy reflectance. Firstly, we compared the performance of normalized difference vegetation index (NDVI) and red edge chlorophyll index (CIred edge) for monitoring RP. Secondly, double logistic function (DLF), asymmetric gauss function (AGF), and symmetric gauss function (SGF) were used to fit time-series CIred edge for acquiring phenological curves (PC), the feature: maximum curvature (MC) of PC was extracted to monitor IHSDAS. Finally, we analyzed the influence of rice cultivars, N rates, and air temperature on RP. The results indicated that CIred edge was more appropriate than NDVI for monitoring RP without saturation problem. Compared with DLF and AGF, SGF could fit CIred edge without over fitting problem. MC of SGF_CIred edge from all three platforms showed good performance in monitoring IHSDAS with good robustness, R2 varied between 0.82 and 0.95, RMSE ranged from 2.31 to 3.81. In addition, the results demonstrated that high air temperature might cause a decrease of IHSDAS, and the growth process of rice was delayed when more nitrogen fertilizer was applied before IHSDAS. This study illustrated that low-altitude remote sensing technology could be used for monitoring field-scale hybrid rice IHSDAS accurately.

Comparison of the structure of Aβ(1-40) amyloid with the one in complex with polyphenol ε-viniferin glucoside (EVG)

2018 ◽  
Vol 14 (2) ◽  
Author(s):  
Dawid Dułak ◽  
Mateusz Banach ◽  
Zdzisław Wiśniowski ◽  
Leszek Konieczny ◽  
Irena Roterman
Keyword(s):  
Nuclear Magnetic Resonance ◽  
3D Structure ◽  
Soluble Form ◽  
Hydrophobic Core ◽  
Nuclear Magnetic Resonance Technique ◽  
Resonance Technique ◽  
Magnetic Resonance Technique ◽  
Gauss Function ◽  
The One

Abstract The analysis of amyloid structures is much easier recently due to the availability of the solid-state nuclear magnetic resonance technique, which allows the determination of the 3D structure of amyloid forms. The amyloidogenic polypeptide Aβ(1-40) (PDB ID 2M9R, 2M9S) in its soluble form is the object of analysis in this paper. The solubility of this polypeptide is reached due to the presence of a complexed ligand: polyphenol ε-viniferin glucoside. Two forms of complexes available in the PDB were taken for analysis with respect to the presence of a hydrophobic core in the 3D structure of these complexes. The idealized hydrophobic core structure assumed to be accordant with the 3D Gauss function distribution was taken as the pattern. The aim of this analysis is the possible further comparison to the structures of the hydrophobic core present in amyloids. It is shown that the discordant (versus the 3D Gauss function) fragments present in amyloids appear accordant in the discussed complexes.

Static calibration of transducers using Gauss-function-based approximation

1996 ◽  
Vol 45 (2) ◽  
pp. 389-393 ◽  
Author(s):  
Shi Huang ◽  
R.Z. Morawski ◽  
A. Barwicz
Keyword(s):  
Static Calibration ◽  
Gauss Function

Design of LED Light Source for Uniform Illumination in Large Area

2013 ◽  
Vol 401-403 ◽  
pp. 465-468
Author(s):  
Jie Sun ◽  
Jing Wen Zhang
Keyword(s):  
Light Source ◽  
Design Method ◽  
Gaussian Function ◽  
Uniform Illumination ◽  
Large Area ◽  
Led Light ◽  
Function Fitting ◽  
Led Array ◽  
Gauss Function ◽  
Plane Light

Based on the observation of the data measured, the illumination distribution of single LED is set to follow Gaussian function, and with this hypothesis, two forms of light array are analyzed on their illumination distribution. The law of Spyro is used to optimize space between LED in array. Comparison and analysis of the two kinds of array arrangement are given for getting the uniform illumination. The general design method and the calculation example of LED array to produce uniform illumination are also given in this paper. Keywords: Plane light source, Gauss function fitting, LED light source, Uniform illumination

scholarly journals Investigations of Sizes and Dynamical Motions of Solar Photospheric Granules by a Novel Granular Segmenting Algorithm

2021 ◽  
Vol 923 (2) ◽  
pp. 133
Author(s):  
Liu Yanxiao ◽  
Jiang Chaowei ◽  
Yuan Ding ◽  
Zuo Pingbing ◽  
Wang Yi ◽  
...  
Keyword(s):  
Power Law ◽  
Convective Instability ◽  
Solar Photosphere ◽  
Dynamical Process ◽  
Cascade Process ◽  
Solar Telescope ◽  
Power Law Distribution ◽  
Gauss Function ◽  
Power Law Function ◽  
Convective Motions

Abstract Granules observed in the solar photosphere are believed to be convective and turbulent, but the physical picture of the granular dynamical process remains unclear. Here we performed an investigation of granular dynamical motions of full length scales based on data obtained by the 1 m New Vacuum Solar Telescope and the 1.6 m Goode Solar Telescope. We developed a new granule segmenting method, which can detect both small faint and large bright granules. A large number of granules were detected, and two critical sizes, 265 and 1420 km, were found to separate the granules into three length ranges. The granules with sizes above 1420 km follow Gaussian distribution, and demonstrate flat in flatness function, which shows that they are non-intermittent and thus are dominated by convective motions. Small granules with sizes between 265 and 1420 km are fitted by a combination of power-law function and Gauss function, and exhibit nonlinearity in flatness function, which reveals that they are in the mixing motions of convection and turbulence. Mini granules with sizes below 265 km follow the power-law distribution and demonstrate linearity in flatness function, indicating that they are intermittent and strongly turbulent. These results suggest that a cascade process occurs: large granules break down due to convective instability, which transports energy into small ones; then turbulence is induced and grows, which competes with convection and further causes the small granules to continuously split. Eventually, the motions in even smaller scales enter in a turbulence-dominated regime.

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