scholarly journals Restriction of Exponential Sums to Hypersurfaces

2021 ◽  
Author(s):  
Ciprian Demeter ◽  
Bartosz Langowski
Keyword(s):  
Exponential Sums ◽  
Scale Parameter ◽  
Moment Inequalities ◽  
Singular Measures

Abstract We prove moment inequalities for exponential sums with respect to singular measures, whose Fourier decay matches those of curved hypersurfaces. Our emphasis will be on proving estimates that are sharp with respect to the scale parameter $N$, apart from $N^\epsilon $ losses. In a few instances, we manage to remove these losses.

PEMBERDAYAAN MASYARAKAT DESA DANASARI KECAMATAN PEMALANG KABUPATEN PEMALANG

2017 ◽  
Vol 36 (1) ◽  
pp. 26
Author(s):  
Purnama Rozak ◽  
Hafiedh Hasan ◽  
Sugarno Sugarno ◽  
Srifariyati Srifariyati ◽  
Afsya Septa Nugraha
Keyword(s):  
Community Development ◽  
Human Resources ◽  
Human Development ◽  
Human Development Index ◽  
Scale Parameter ◽  
Collective Responsibility ◽  
Community Empowerment ◽  
Per Capita ◽  
Primary Focus ◽  
The Village

<p>The success of the development of a nation is determined by the Human Development Index (HDI). International scale parameter indicates the level of development of human resources emphasizes on three areas: education, health, and income per capita. The various dimensions of community development was a collective responsibility to make it happen. One way to do is through the proselytizing activities of community empowerment. This is as done in the village of Pemalang district, Danasari that has HDI levels is low compared than other villages. Community development in this village was done by taking three primary focus , they are the field of economics, health, and education and religion.</p><p align="center"><strong>***</strong></p>Keberhasilan pembangunan suatu bangsa ditentukan oleh Human Develop-ment Indeks (HDI). Parameter berskala internsional ini menunjukkan tingkat pengembangan sumber daya manusia yang menitiberatkan pada tiga bidang yaitu pendidikan, kesehatan, dan pendapatan perkapita. Pengembangan masyarakat yang berbagai dimensi tadi merupakan tanggung jawab bersama untuk mewujudkannya. Salah satu cara yang dapat dilakukan adalah melalui kegiatan dakwah pemberdayaan masyarakat. Hal ini sebagaimana dilakukan di Desa Danasari Kabupaten Pemalang yang memiliki tingkat HDI yang rendah dibandingkan desa lainnya. Pemberdayaan masyarakat di desa ini dilakukan dengan mengambil tiga fokus utama yaitu bidang ekonomi, bidang kesehatan, dan pendidikan dan keagamaan. Potensi yang ada perlu diberdayakan secara bersama dengan tujuan pencapaian perbaikan kehidupan masyarakat desa Danasari.

Estimation of a scale parameter in mixture models with unknown location

2005 ◽  
Vol 128 (1) ◽  
pp. 191-218 ◽  
Author(s):  
Constantinos Petropoulos ◽  
Stavros Kourouklis
Keyword(s):  
Mixture Models ◽  
Scale Parameter

Rurality and Party System Fragmentation in the Nigerian Presidential Elections of the Fourth Republic

2020 ◽  
Vol 11 (1) ◽  
pp. 59-85
Author(s):  
Cletus Famous Nwankwo
Keyword(s):  
Presidential Elections ◽  
Party System ◽  
Party Systems ◽  
Voting Behaviour ◽  
Composite Measure ◽  
Singular Measures ◽  
Rural And Urban ◽  
Fourth Republic ◽  
Cast Doubt ◽  
Negative Effect

AbstractThis paper examines the effect of rurality on party system fragmentation in the Nigerian presidential elections of the fourth republic. The findings show that party system fragmentation (PSF) has been characteristically low in the Nigerian presidential elections and rurality does not significantly predict party system fragmentation. Rurality has a negative effect on PSF in all the elections studied except the 2003 election but only significant in the 2011 poll. Thus, the paper cast doubt on previous studies that indicate that striking rural-urban differences manifest in party system fragmentation in African elections and attribute it to previous studies’ measure of rurality. The paper argues that the use of a composite measure of rurality instead of singular measures of rurality might provide better analysis that helps us understand the effect of rurality on party systems. Also, it argues that in the study of the rural-urban difference in voting behaviour or political behaviours more broadly, data should be aggregated based on cities and non-city areas because cities have distinctive urban characters compared with non-city places. Analyses done on states or constituencies level may not reveal the rural-urban difference because states and constituencies usually have a mix of rural and urban population and other characteristics.

scholarly journals A note on two-term exponential sum and the reciprocal of the quartic Gauss sums

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Wenpeng Zhang ◽  
Xingxing Lv
Keyword(s):  
Exponential Sums ◽  
Exponential Sum ◽  
Gauss Sums ◽  
Power Mean ◽  
Hybrid Power ◽  
Analytic Methods ◽  
Hybrid Power Mean

AbstractThe main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of quartic Gauss sums, and to give some interesting calculating formulae of them.

scholarly journals CONSTRAINT QUALIFICATIONS IN PARTIAL IDENTIFICATION

2021 ◽  
pp. 1-24
Author(s):  
Hiroaki Kaido ◽  
Francesca Molinari ◽  
Jörg Stoye
Keyword(s):  
Stochastic Programming ◽  
Constraint Qualification ◽  
Constraint Qualifications ◽  
Partial Identification ◽  
Moment Inequalities ◽  
Pure Moment ◽  
High Level

The literature on stochastic programming typically restricts attention to problems that fulfill constraint qualifications. The literature on estimation and inference under partial identification frequently restricts the geometry of identified sets with diverse high-level assumptions. These superficially appear to be different approaches to closely related problems. We extensively analyze their relation. Among other things, we show that for partial identification through pure moment inequalities, numerous assumptions from the literature essentially coincide with the Mangasarian–Fromowitz constraint qualification. This clarifies the relation between well-known contributions, including within econometrics, and elucidates stringency, as well as ease of verification, of some high-level assumptions in seminal papers.

scholarly journals A Semi-Automated Object-Based Gully Networks Detection Using Different Machine Learning Models: A Case Study of Bowen Catchment, Queensland, Australia

Sensors ◽  
2019 ◽  
Vol 19 (22) ◽  
pp. 4893 ◽  
Author(s):  
Hejar Shahabi ◽  
Ben Jarihani ◽  
Sepideh Tavakkoli Piralilou ◽  
David Chittleborough ◽  
Mohammadtaghi Avand ◽  
...  
Keyword(s):  
Machine Learning ◽  
Image Segmentation ◽  
Vegetation Index ◽  
Scale Parameter ◽  
Slope Aspect ◽  
Support Vector ◽  
Topographic Wetness Index ◽  
Slope Length ◽  
Optimal Scale ◽  
Object Based

Gully erosion is a dominant source of sediment and particulates to the Great Barrier Reef (GBR) World Heritage area. We selected the Bowen catchment, a tributary of the Burdekin Basin, as our area of study; the region is associated with a high density of gully networks. We aimed to use a semi-automated object-based gully networks detection process using a combination of multi-source and multi-scale remote sensing and ground-based data. An advanced approach was employed by integrating geographic object-based image analysis (GEOBIA) with current machine learning (ML) models. These included artificial neural networks (ANN), support vector machines (SVM), and random forests (RF), and an ensemble ML model of stacking to deal with the spatial scaling problem in gully networks detection. Spectral indices such as the normalized difference vegetation index (NDVI) and topographic conditioning factors, such as elevation, slope, aspect, topographic wetness index (TWI), slope length (SL), and curvature, were generated from Sentinel 2A images and the ALOS 12-m digital elevation model (DEM), respectively. For image segmentation, the ESP2 tool was used to obtain three optimal scale factors. On using object pureness index (OPI), object matching index (OMI), and object fitness index (OFI), the accuracy of each scale in image segmentation was evaluated. The scale parameter of 45 with OFI of 0.94, which is a combination of OPI and OMI indices, proved to be the optimal scale parameter for image segmentation. Furthermore, segmented objects based on scale 45 were overlaid with 70% and 30% of a prepared gully inventory map to select the ML models’ training and testing objects, respectively. The quantitative accuracy assessment methods of Precision, Recall, and an F1 measure were used to evaluate the model’s performance. Integration of GEOBIA with the stacking model using a scale of 45 resulted in the highest accuracy in detection of gully networks with an F1 measure value of 0.89. Here, we conclude that the adoption of optimal scale object definition in the GEOBIA and application of the ensemble stacking of ML models resulted in higher accuracy in the detection of gully networks.

scholarly journals On Waring’s problem: Three cubes and a sixth power

2001 ◽  
Vol 163 ◽  
pp. 13-53 ◽  
Author(s):  
Jörg Brüdern ◽  
Trevor D. Wooley
Keyword(s):  
Exponential Sums ◽  
Large Integer ◽  
Natural Numbers ◽  
Waring’S Problem ◽  
Smooth Numbers ◽  
Waring's Problem ◽  
Order Of Magnitude ◽  
Almost All ◽  
Hardy Littlewood Method

We establish that almost all natural numbers not congruent to 5 modulo 9 are the sum of three cubes and a sixth power of natural numbers, and show, moreover, that the number of such representations is almost always of the expected order of magnitude. As a corollary, the number of representations of a large integer as the sum of six cubes and two sixth powers has the expected order of magnitude. Our results depend on a certain seventh moment of cubic Weyl sums restricted to minor arcs, the latest developments in the theory of exponential sums over smooth numbers, and recent technology for controlling the major arcs in the Hardy-Littlewood method, together with the use of a novel quasi-smooth set of integers.

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