We take an approach toward counting the number of n for which the curve En : y = x3−n2x has 2-Selmer groups of a given size. This question was also discussed in a pair of papers by Roger Heath-Brown [6, 7]. We discuss the connection between computing the size of these Selmer groups and verifying cases of the Birch and Swinnerton-Dyer Conjecture. The key ingredient for the asymptotic formulae is...

The search for forages with high biomass production and nutritional content has made it possible to find food alternatives that, due their benefits resistance adverse environmental factors, are the best option herbivores. With knowledge of farmers, producers experience researchers, 12 species most frequently used in animal feeding were selected, identified classified University's PSO herbarium ...

Pterospartum tridentatum (L.) Willk., Gomphrena globosa L. and Cymbopogon citratus (DC) Stapf. are examples of medicinal plants with antioxidant properties on their own, but that can be improved when mixed. In the present work, the antioxidant activity and phenolic compounds were determined in the infusions prepared from the individual plants, and from mixtures of these plants in different prop...

6 CONTENTS Preface This book is based on notes I created for a one-semester undergraduate course on Algebraic Number Theory, which I taught at Harvard during Spring 2004 and Spring 2005. The textbook for the first course was chapter 1 of Swinnerton-Dyer's book [SD01]. The first draft of this book followed [SD01] closely, but the current version but adding substantial text and examples to make t...

1. Reference and definition The formulation of the “divided cell” algorithm as an approach to the study of the values of a function f (x, y) that is a product of two inhomogeneous linear forms on a lattice in R2 appears in E. S. Barnes, “The inhomogeneous minima of binary quadratic forms (IV)”, Acta Math. 92 (1954) 235–264. Although this is the fourth paper in a series, the first three were wri...

A two-stage method for in vitro propagation of six Genista species from shoot tips was developed. Multiple microshoot cultures were obtained by growing the shoot tip explants on Schenk and Hildebrandt medium supplemented with 9.84 microM 6-(gamma,gamma-dimethylallylamino)-purine and 0.99 microM thidiazuron. The best shoot elongation was achieved on Schenk and Hildebrandt medium containing 4.92 ...

Makro iklimlerin yanında mikro ölçekte iklim çeşitliliğine sahip olan Anadolu coğrafyasında tesir sahası en geniş tereddütsüz Akdeniz iklimidir. Subtropikal iklimler kategorisinde yer alan ikliminin gerek sıcaklık, gerekse yağış rejimlerinin kısmî de olsa diğer kuşaklarımızda da etkisinin görüldüğü bilinen bir gerçektir. kuşağının hâkim bitki türü kızılçamdır (Pinus brutia). Geçmişten günümüze ...