We find that the minimum distance of the binary [137; 69] quadratic residue code is 21.

This paper studies Frobenius maps on injective hulls of residue fields of complete local rings with a view toward providing constructive descriptions of objects originating from the theory of tight closure. Specifically, the paper describes algorithms for computing parameter test ideals, and tight closure of certain submodules of the injective hull of residue fields of a class of well-behaved r...

Using Bochner-Martinelli type residual currents we prove some generalizations of Jacobi’s Residue Formula, which allow proper polynomial maps to have ’common zeroes at infinity ’, in projective or toric situations.

  Application of gepraphic information system and image processing in evaluation of surface runoff of a watershed in recent years has increased greatly. In the study , the runoff curve number map was prepared using geographic information system (GIS)and Landsat Sattelite Images (ETM+)for two watersheds of Mansourabad in southern Khorasan province and Navroud in Gilan province based on the facto...

BACKGROUND AND PURPOSE Identification of salvageable penumbra tissue by dynamic susceptibility contrast magnetic resonance imaging is a valuable tool for acute stroke patient stratification for treatment. However, prior studies have not attempted to combine the different perfusion maps into a predictive model. In this study, we established a multiparametric perfusion imaging model and cross-val...

The aim of this study is to estimate runoff in Wadi Ba Al Arid watershed for a period of ten years 2009-2018 by  Soil Conservation Service  Curve Number (SCS-CN) method in combination with the GIS techniques using remote sensing data. The used data are the daily rainfall data from NASA Prediction of Worldwide Energy Resource (POWER), digital elevation data (DEM) from ALOS PALSAR RTC , satellite...

David maps are generalizations of classical planar quasiconformal maps for which the dilatation is allowed to tend to infinity in a controlled fashion. In this note we examine how these maps distort Hausdorff dimension. We show: – Given α and β in [0, 2] , there exists a David map φ: C → C and a compact set Λ such that dimH Λ = α and dimH φ(Λ) = β . – There exists a David map φ: C → C such that...

Contents 1. Introduction 1 2. Residue and tube over cycle maps 2 3. Hodge structures on the complement 8 4. Period maps and their derivatives 11 5. Tautological deformations of hypersurfaces 12 6. The main theorem 13 Appendix A. Spectral sequences 16 A.1. Fundamental Notions 16 A.2. Hypercohomology 24 A.3. Abstract de Rham theorems 26 A.4. The spectral sequence of a filtered complex of sheaves ...