This paper deals with chain graphs under the classic Lauritzen-Wermuth-Frydenberg interpretation. We prove that the strictly positive discrete probability distributions with the prescribed sample space that factorize according to a chain graph G with dimension d have positive Lebesgue measure wrt R, whereas those that factorize according to G but are not faithful to it have zero Lebesgue measur...

background and aims. one of the most common reasons for the inferior alveolar nerve block anesthesia failure is the variation in mandibular foramen location. the aim of this study was to assess the location of mandibular foramen in children with mandibular retrognathism in comparison to children with normal skeletal occlusion in the mixed dentition. materials and methods. one hundred and twenty...

castleman’s disease (angiofollicular lymphoid hyperplasia) includes a heterogeneous group of lymphoproliferative disorders. the cause of this disease remains uncertain. there are two types of localized castleman’s disease: the more common hyaline vascular and the plasma cell types. mixed variant is an uncommon localized lesion in general population. the lesions can occur in any part of the body...

objectives: proper diagnosis and prevention of malocclusion are superior to treatment. discrepancy between arch length and tooth size in mixed dentition period is a condition requiring timely diagnosis. estimating the mesiodistal width of unerupted teeth according to the size of erupted ones can lead to earlier diagnosis of malocclusion. on the other hand, the best timing for serial extractions...

although the validity of content of program is mostly conducted with qualitative methods, this study used both qualitative and quantitative methods for the validation of content of post marriage training program provided for newly married couples. content validity is a preliminary step of obtaining authorization required to install the program in country's health care system.this mixed methodol...

mixed convection is a fundamentally significant heat transfer mechanism that occurs in selection industrial and technological applications. in this study, first the laminar mixed convection inside rectangular enclosure with moving wall and aspect ratio=10 is modeled and then the results are compared with other investigate. after showing varity of results, the investigation is continued with tur...

a refrigeration cycle is a chain of various pieces of equipment including compressors, condensers, evaporators, and expansion devices each of which takes on a particular thermodynamic process duty in the cycle that eventually results in the production of the required refrigeration. the results of optimized mixed refrigerant cycles (mrcs) in part i show that the configuration of mrc is an effect...

in recent years, the application of composite materials in aircraft and space vehicle structural components has become increasingly popular. preventing failure of composite structural systems has been an important issue in engineering design. due to the lack of through-the-thickness reinforcement, structures made from laminated composite materials and adhesively bonded joints are highly suscept...

in this paper, we introduce and study a mixed variational inclusion problem involving infinite family of fuzzy mappings. an iterative algorithm is constructed for solving a mixed variational inclusion problem involving infinite family of fuzzy mappings and the convergence of iterative sequences generated by the proposed algorithm is proved. some illustrative examples are also given.