background & aim: this research, order to study of extraction and investigation on the essential oil of anthemis hyalina dc. were conducted.   material & methods: the volatile constituents of anthemis hyalina dc. were isolated by hydro-distillation and analyzed by gc and gc/ms. in this study, samples were collected from qazvin on june 2008.   results & discussion: the oil yields...

Bajakah and akar kuning are known as traditional medicine from peatlands, which usually extracted their natural habitats. Over extraction illegal cutting have become a threat to the extinction of both species. Therefore, propagation cultivation those medicinal plants necessary be conducted outside forest areas meet demand raw materials minimize risk species extinction. The experiment stem two b...

Blue dye (indigo) from Indigofera tinctoria leaves is a popular natural used worldwide. The lower light fastness of indigo dyes compared to that synthetic blue one the drawbacks former, limiting its utiliz

4 The Birch and Swinnerton-Dyer conjecture 18 4.1 Analytic rank 0 . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4.1.1 Kolyvagin’s proof . . . . . . . . . . . . . . . . . . . . . 18 4.1.2 A variant . . . . . . . . . . . . . . . . . . . . . . . . . 19 4.1.3 Kato’s proof . . . . . . . . . . . . . . . . . . . . . . . . 20 4.2 Analytic rank 1 . . . . . . . . . . . . . . . . . . . . . . . . ...

This survey paper contains two parts. The first one is a written version of a lecture given at the “Random Matrix Theory and L-functions” workshop organized at the Newton Institute in July 2004. This was meant as a very concrete and down to earth introduction to elliptic curves with some description of how random matrices become a tool for the (conjectural) understanding of the rank of MordellW...

In this paper we present a method for explicitly computing rational points on elliptic curves using Heegner points. This method was crucial to the proof of Gross-Zagier, which proves the rank one case of the Birch and Swinnerton-Dyer Conjecture. Although this use of Heegner points can be found in many books and articles, we strive here to present it in a more concrete and complete form, and usi...

The scientific evaluation of medicinal plants used in the preparation of folk remedies has provided modern medicine with effective pharmaceuticals for the treatment of diseases. The methanol extract of Berberis tinctoria Lesch (Berberidaceae) leaves was investigated for its hepatoprotective and antioxidant effects on paracetamol (750 mg/kg) induced acute liver damage in Wistar albino rats. Hepa...