A Decision Support System for Medical Applications was designed by applying the rough set theory to generate rules from the collected data. The data are kept in a table representing information system. There are some improper data in information systems and their removal can improve the quality of the retrieved information. By improper data we can understand such objects that disturb rules gene...

In this paper, we introduce the new notion of acyclic improper colorings of graphs. An improper coloring of a graph G is a mapping c from the set of vertices of G to a set of colors such that for every color i, the subgraph induced by the vertices with color i satisses some property depending on i. Such an improper coloring is acyclic if for every two distinct colors i and j, the subgraph induc...

In this paper we consider convex improper affine maps of the 3-dimensional affine space and classify their singularities. The main tool developed is a generating family with properties that closely resembles the area function for non-convex improper affine maps. Mathematics Subject Classification (2010). 53A15.

Let R be the class of all functions that are properly Riemann-integrable on [0, 1], and let IR be the class of all functions that are properly Riemann-integrable on [a, 1 ] for all a > 0 and for which

Parents’ socialization goals are important for cultural transmission across generations, but whether such goals vary by ethnic and socioeconomic backgrounds and change over children’s first years of life remains unexamined. In Study 1, African-American, Dominican immigrant, and Mexican immigrant mothers (N = 300) reported on the qualities deemed as desirable or undesirable when children were ag...

We model a problem proposed by Alcatel, a satellite building company, using improper colourings of graphs. The relation between improper colourings and maximum average degree is underlined, which contributes to generalise and improve previous known results about improper colourings of planar graphs.

A cross-sectional study was conducted to measure plasma retinol and alpha-tocopherol status and the growth indices of 66 healthy Thai infants aged about 7 months old. The mean (SD) plasma retinol and alpha-tocopherol level were 1.59(0.31) and 25.40(7.01) micromol/l respectively. For their weight, height, and body mass index, the mean (SD) values were 7.96(0.93) kg, 69.95(2.42) cm, and 16.25(1.4...

Improper solid waste management is causing negative impacts in Pakistan. To investigate the causes Rawalpindi city was selected as a case study. The situation is becoming very complex in the city due to industrialization, urbanization and improved living standards of urban areas, as these things are the cause of drastic increase in the quantity and complexity of generated waste. From this resea...

Listeria monocytogenes, is a Gram positive, aerobic, intracellular pathogen with a predilection to cause illness in patients with diminished cell mediated immunity(l,2). Reports of listeriosis from India are scanty either because of its rarity, failure to recognize the bacterial growth, improper isolation techniques or lack of awareness. We present three cases of listeriosis to document the set...

What happens when the description is improper? A description νΦ is proper if there is exactly-one entity such that Φ [in the relevant situation]; otherwise, it is improper. We propose to treat improper descriptions as non-starters, which vitiate every expression in which they appear. In particular, an improper description is null [i.e., denotes nothing], and every expression in which it appears...