The solution to the problem of finding the minimum number of monochromatic triples (x, y, x + ay) with a > 2 being a fixed positive integer over any 2-coloring of [1, n] was conjectured by Butler, Costello, and Graham (2010) and Thanathipanonda (2009). We solve this problem using a method based on Datskovsky’s proof (2003) on the minimum number of monochromatic Schur triples (x, y, x + y). We d...

Pulmonary infiltrates in Costello Syndrome. N. Waldburg, F. Buehling, M. Evert, O. Burkhardt, T. Welte. #ERS Journals Ltd 2004. ABSTRACT: This paper reports on a patient with diffuse pulmonary infiltrates directly related to Costello Syndrome. This congenital disorder is characterised by multiple congenital abnormalities, such as psychomotor retardation, short stature, redundant skin, papilloma...

1. introduction identity has its roots in a nation’s culture. persian translators have strived to render a lot of persian literary works into english in order to introduce persian culture to the world. however, not all persian works are rendered for the first time by persian translators. normally, native translators are expected to have full familiarity with their own culture. but, the question...

Transchondral fracture, osteochondral fracture, osteochondritis or dome fracture are all terms used to describe similar lesions ofthe talus. Although this lesion has been extensively studied (Berndt and Harty 1959; Mukherjee and Young 1973; Yvars 1976; Alexander and Lichtman 1980; Canale and Belding 1980; O’Farrell and Costello 1982), several questions of clinical relevance remain unanswered, s...

The digital gates are basic electronic component of any digital circuit. Digital circuit should be simplified in order to reduce its cost by reducing number of digital gates required to implement it. To achieve this, we use Boolean expression that helps in obtaining minimum number of terms and does not contain any redundant pair. Karnaugh map (K-map) and Quine-McCluskey (QM) methods are well kn...