We consider various problems regarding roots and coincidence points for maps into the Klein bottle K . The root problem where the target is K and the domain is a compact surface with non-positive Euler characteristic is studied. Results similar to those when the target is the torus are obtained. The Wecken property for coincidences from K to K is established, and we also obtain the following 1-...

In this paper, we propose a method of reducing topological defects in self-organizing maps (SOMs) using multiple scale neighborhood functions. The multiple scale neighborhood functions are inspired by multiple scale channels in the human visual system. To evaluate the proposed method, we applied it to the traveling salesman problem (TSP), and examined two indexes: the tour length of the solutio...

This abstract describes theapplication of concept mapping for assembling formation as a methodology for interpreting clinical data. This effort isintended to be a demonstration that concept mapping isa highly effective means of capturing the understanding of the problem domain associated with the expanding i formation available in today’s clinical environments. The use of concept mapping inconj...

BACKGROUND Annoying snore is the principle symptom and problem in obstructive sleep apnea syndrome (OSAS). However, investigation has been hampered by the complex snoring sound analyses. OBJECTIVE This study was aimed to investigate the energy types of the full-night snoring sounds in patients with OSAS. PATIENTS AND METHOD Twenty male OSAS patients underwent snoring sound recording through...

A self-map f on the CW complex Z is a periodic homotopy idempotent if for some r 0 and p > 0 the iterates fr and fr+p are homotopic. Geoghegan and Nicas defined the rotation index RI(f) of such a map. They proved that for r = p = 1, the homotopy idempotent f splits if and only if RI(f) = 1, while for r = 0, the index RI(f) divides p2. We extend this to arbitrary p and r, and generalize various ...

We construct a new Gray map from S to F 3n 2 where S = F2+uF2+uF2, u3 = 1. It is both an isometry and a weight preserving map. It was shown that the Gray image of cyclic code over S is quasi-cyclic codes of index 3 and the Gray image of quasi-cyclic code over S is l-quasi-cyclic code of index 3. Moreover, the skew cyclic and skew quasi-cyclic codes over S introduced and the Gray images of them ...

Soil organic matter has positive consequences eht rof quality and productivityof soil and also environment, agricultural and biological sustainability and conservation ofbiodiversity and soil. Organic matter plays an important role in the physical and chemicalprocesses of soil and thus, it is of a great effect on the spectral characteristics of soil. Thisstudy was done in order to develop the m...

  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...

OBJECTIVE To describe the response to high-frequency jet ventilation in infants with hypoxemic respiratory failure unresponsive to high-frequency oscillatory ventilation. METHODS This was a retrospective analysis of chart records on demographics, ventilator settings, blood gas analysis and calculated oxygenation index prior to and during the first 7 days of high-frequency jet ventilation in t...

We give a detailed proof of the well-known classical fact that every symplectic circle action on a compact manifold admits a circle valued momentum map relative to some symplectic form. This momentum map is Morse-Bott-Novikov and each connected component of the fixed point set has even index. These proofs do not appear to be written elsewhere.