in this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.we also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.

We find the exact solution of two interacting friendly directed walks (modelling polymers) on the square lattice. These walks are confined to the quarter plane by a horizontal attractive surface, to capture the effects of DNA-denaturation and adsorption. We find the solution to the model’s corresponding generating function by means of the obstinate kernel method. Specifically, we apply this tec...

In fast phase-measuring profilometry, phase error caused by gamma distortion is the dominant error source. Previous phase-error compensation or gamma correction methods require the projector to be focused for best performance. However, in practice, as digital projectors are built with large apertures, they cannot project ideal focused fringe images. In this Letter, a thorough theoretical model ...

History of present illness: Eighteen months ago she first noticed a painless lump above the left clavicle. It was about the size of a chestnut and had not increased in size since that time. Three months ago she began to have pain in the left shoulder which spread over the spine of the scapula and deltoid region and also down the outer side of the arm as far as the elbow. This pain was intermitt...

FIG. 1. Results of a barium enema showing a stricture of the descending colon. of Cobalt 60 was given in two parallel opposed fields (15 cm. x 15 cm.), which included the kidney bed and regional lymphatics. A dose of 300 r was given daily alternating between the anterior and posterior portal. A total dose of 5,500 r was delivered over 29 days. The patient remained at work until May 1963 (month ...

This report introduces a percutaneous transpedicular interbody fusion (PTPIF) technique in posterior stabilization using percutaneous pedicle screws (PPSs). An 81-year-old man presented with pseudoarthrosis following pyogenic spondylitis 15 months before. Although no relapse of infection was found, he complained of obstinate low back pain and mild neurological symptoms. Radiological evaluations...

Chronic lung diseases include a variety of obstinate and fatal diseases, including asthma, chronic obstructive pulmonary disease (COPD), cystic fibrosis (CF), idiopathic pulmonary fibrosis (IPF), and lung cancers. Pharmacotherapy is important for the treatment of chronic lung diseases, and current progress in nanoparticles offers great potential as an advanced strategy for drug delivery. Based ...

FIG. 1. Results of a barium enema showing a stricture of the descending colon. of Cobalt 60 was given in two parallel opposed fields (15 cm. x 15 cm.), which included the kidney bed and regional lymphatics. A dose of 300 r was given daily alternating between the anterior and posterior portal. A total dose of 5,500 r was delivered over 29 days. The patient remained at work until May 1963 (month ...