The pentagon relation and incidence geometry

Pentagon Relation for the Quantum Dilogarithm and Quantized M

A proof of the pentagon relation for the quantum dilogarithm

1 Introduction The quantum dilogarithm function is given by the following integral: Φ h (z) := exp − 1 4 Ω e −ipz sh(πp)sh(πhp) dp p , sh(p) = e p − e −p 2. Here Ω is a path from −∞ to +∞ making a little half circle going over the zero. So the integral is convergent. It goes back to Barnes [Ba], and appeared in many papers during the last 30 years: • The function Φ h (z) is meromorphic with pol...

Incidence Geometry

azerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran

در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...

the relation between bilingualism and translation: a case study of turkish bilingual and persian monolingual translation students

translation studies have become an accepted academic subject and books, journals and doctoral dissertations appear faster than one can read them all (bassnet and lefevere, 1990). but this field also brought with itself so many other issues which needed to be investigated more, in the heart of which, issues like ideology, ethics, culture, bilingualism and multilingualism. it is reported that ove...