Method of Linear Programming as an Idea for High School Curriculum

2010 Mathematics Subject Classification: 97D40, 97M10, 97M40, 97N60, 97N80, 97R80

A Representation of Binary Matrices

Христина Костадинова, Красимир Йорджев - В статията се обсъжда представянето на произволна бинарна матрица с помощта на последователност от цели неотрицателни числа. Разгледани са някои предимства и недостатъци на това представяне като алтернатива на стандартното, общоприето представяне чрез двумерен масив. Показано е, че представянето на бинарните матрици с помощта на наредени n-торки от естествени числа води до по-бързи алгоритми и до съществена икономия на оперативна памет. Използуван е апарата на обектно-ориентираното програмиране със синтаксиса и семантиката на езика C++.

Digital Representation of Knitting Patterns in Traditional Costumes

The paper presents the application of a CAD system for digital representation of traditional knitting. The CAD system is oriented to hand knitting. As a software application the system is developed by using C# programming language and .NET platform. The paper focuses on the applied side of the software and its usage as a means of representing and storing ethnographic exhibits.

Riemann-Hilbert Problems with Canonical Normalization and Families of Commuting Operators

2010 Mathematics Subject Classification: 35Q15, 31A25, 37K10, 35Q58.

Optimization Problem in a Class of Linear System. Application to Multiple Drug Administration

2000 Mathematics Subject Classification: 62H15, 62P10.

Branching Particle Representation of a Class of Semilinear Equations

2000 Mathematics Subject Classification: 60J80, 60J85

A Refinement of some Overrelaxation Algorithms for Solving a System of Linear Equations

In this paper we propose a refinement of some successive overrelaxation methods based on the reverse Gauss–Seidel method for solving a system of linear equations Ax = b by the decomposition A = Tm − Em − Fm, where Tm is a banded matrix of bandwidth 2m + 1. We study the convergence of the methods and give software implementation of algorithms in Mathematica package with numerical examples. ACM Computing Classification System (1998): G.1.3.

The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form

2000 Mathematics Subject Classification: 35J70, 35P15.

Spectral Shift Function for the Perturbations of Schrödinger Operators at High Energy

2000 Mathematics Subject Classification: 35P20, 35J10, 35Q40.

Representation of people of South Asian origin in cardiovascular outcome trials of glucose-lowering therapies in Type 2 diabetes

Aims : Our aim was to investigate the proportional representation of people of South Asian origin in cardiovascular outcome trials of glucose-lowering drugs or strategies in Type 2 diabetes, noting that these are among the most significant pieces of evidence used to formulate the guidelines on which clinical practice is largely based. Methods : We searched for cardiovascular outcome trials in Type 2 diabetes published before January 2015, and extracted data on the ethnicity of participants. These were compared against expected values for proportional representation of South Asian individuals, based on population data from the USA, from the UK, and globally. Results : Twelve studies met our inclusion criteria and, of these, eight presented a sufficiently detailed breakdown of participant ethnicity to permit numerical analysis. In general, people of South Asian origin were found to be under-represented in trials compared with UK and global expectations and over-represented compared with US expectations. Among the eight trials for which South Asian representation could be reliably estimated, seven under-represented this group relative to the 11.2% of the UK diabetes population estimated to be South Asian, with the representation in these trials ranging from 0.0% to 10.0%. Conclusions : Clinicians should exercise caution when generalizing the results of trials to their own practice, with regard to the ethnicity of individuals. Efforts should be made to improve reporting of ethnicity and improve diversity in trial recruitment, although we acknowledge that there are challenges that must be overcome to make this a reality.

Eigen-Adaptation and Distributed Representation of 2-D Phase, Energy, Scale and Orientation in Spatial Vision

Distributed representations (DR) of cortical channels are pervasive in models of spatio-temporal vision. A central idea that underpins current innovations of DR stems from the extension of 1-D phase into 2-D images. Neurophysiological evidence, however, provides tenuous support for a quadrature representation in the visual cortex, since even phase visual units are associated with broader orientation tuning than odd phase visual units (J.Neurophys.,88,455–463, 2002). We demonstrate that the application of the steering theorems to a 2-D definition of phase afforded by the Riesz Transform (IEEE Trans. Sig. Proc., 49, 3136–3144), to include a Scale Transform, allows one to smoothly interpolate across 2-D phase and pass from circularly symmetric to orientation tuned visual units, and from more narrowly tuned odd symmetric units to even ones. Steering across 2-D phase and scale can be orthogonalized via a linearizing transformation. Using the tiltafter effect as an example, we argue that effects of visual adaptation can be better explained by via an orthogonal rather than channel specific representation of visual units. This is because of the ability to explicitly account for isotropic and cross-orientation adaptation effect from the orthogonal representation from which both direct and indirect tilt after-effects can be explained.

The migration crisis: representation of a border conflict in Hungarian, German and Pan-European television new coverage

In this article we review the methods used by television news channels in their reporting of the clashes between the Hungarian police and refugees at the Serbian-Hungarian border on 16th of September 2015. With the help of content analysis we examine the techniques used by each editorial board to portray events differently,resulting in dissimilar effects on recipients. During the analysis we examine news coverage for one specific day as presented by Hungarian, German and pan-European broadcasters. German news programs were chosen for comparison with Hungarian ones due to the fact that most of the refugees were heading towards Germany. We conclude that there are significant differences between the information that was broadcast according to television channels; owner expectations presumably play an important role in this.

Representation of people of color in the nineteenth century slavery novel in Cuba and Brazil

This dissertation explores the similarities and differences which characterize the depiction of people of color in certain representative nineteenth century Cuban and Brazilian slavery novels as a function of the authorial approach of each territory's literary tradition toward the issues of slavery, racial prejudice, and people of color. The selected texts, derived from the peak periods in slavery literature of each territory, include Francisco , by Anselmo Snárez y Romero; Sab, by Gertrudis Gómez de Avellaneda; Cecilia Valdés , by Cirilo Villaverde; A escrava Isaura, by Bernardo Guimarães; O mulato, by Aluísio Azevedo; and Bom-Crioulo, by Adolfo Caminha. While the present study explores the enslavement, abuse, and discrimination of people of color as a consequence of a deep-seated discourse of power, privilege and racial superiority, it focuses more extensively on the representation of people of color, particularly in their capacity to constructively appropriate the cultural values of the white dominant group and recognize their identity as ambiguous. ^ Said's theories of Orientalist discourse and geography and formation as well as Dube's perspective on subaltern-oriented studies provide a theoretical framework for exploring the response of slavery writers whose common exposure to slavery but dissimilar socio-political contexts generate some startling findings. Crafted within a period of political repression, fear of black revolt, factional in-fighting as well as strong socioeconomic ties to the slaveholding class, the Cuban texts generally fashioned an approach to slavery as one marked by moderation, reform, and cultural counter discourse and consequently depict people of color with a more passive but culturally authentic outlook. On the other hand, the Brazilian response to the issue of slavery, steeped in an ideological amalgam of liberalism, positivism, republicanism, and abolitionism, is characterized by overt opposition to slavery and a representation of people of color that is less concerned with cross-cultural input but reclaims their humanity as highly educable and socially mobile persons in search of greater freedoms. Ultimately, there is a shared message of higher significance couched in the worthwhile mission of raising slaves to the level of men. ^

The representation of motherhood in contemporary Catalan fiction

This dissertation analyzes four twenty-first-century Catalan novels which present the complex positions occupied by mothers in the last seven decades. Its conceptual framework posits motherhood as both a changing social construction and a political institution in a constant state of flux. In Inma Monsó´s Todo un carácter (2001), Eva Piquer´s Una victoria diferente (2002), Carme Riera´s La mitad del alma (2004), and Najat El Hachmi´s El último patriarca (2008) motherhood is explored as a metaphorical act, a gender-constructing experience, as well as the locus of expression with regard to gender and power relations. During the dictatorship of Francisco Franco (1939–1975), the majority of women were excluded from public spaces, and forced to stay home to care for their husbands and children. Furthermore, the state criminalized abortion, made contraception and divorce illegal, and promoted an ideal of femininity based on silence, sacrifice, and self-denial. The political changes of the late 1970s allowed women greater personal autonomy, and many women writers began to challenge stereotypical views of women’s social roles. Yet in the 70s and 80s, the narratives of Esther Tusquets, Ana María Moix, and Montserrat Roig represent the mother as a repressive figure whom the daughter must reject in order to liberate herself and regain her voice. It is not until the 90s when the novelists Mercedes Abad, Maruja Torres, Carme Riera, Imma Monsó, Eva Piquer, and María Barbal rehumanize the mother figure, recovering their matrilineal heritage. However, far from suggesting a unified trend in representations of motherhood in Catalan fiction, the diverse points of view of the novels under discussion here reveal that differences in attitudes among women authors about mother-daughter conflict are far from resolved. The theoretical background for this dissertation draws mainly on the work of Adrienne Rich, Nancy Chodorow, and Julia Kristeva. It includes psychoanalytic studies as well as sociologically based essays by Anna López Puig, Amparo Acereda, Jacqueline Cruz, Barbara Zecchi, Ángeles de la Concha, and Raquel Osborne, among others.