Based on the analogy between number fields and function fields of one variable over finite fields, we formulate and prove an analogue of the exceptional zero conjecture of Mazur, Tate and Teitelbaum for elliptic curves defined over function fields. The proof uses modular parametrization by Drinfeld modular curves and the theory of non-archimedean integration. As an application we prove a refine...

Peronospora effusa is an obligate pathogen that causes downy mildew on spinach and is considered the most economically important disease of spinach. The objective of the current research was to assess genetic diversity of known historical races and isolates collected in 2014 from production fields in Yuma, Arizona and Salinas Valley, California. Candidate neutral single nucleotide polymorphisms...

This article gives an outline of the historical events that led to the formation of contemporary astroparticle physics. As a starting point for analyzing the history of astroparticle physics this article will review the various, yet scattered pieces of historical work that have been done so far. To make the picture more complete it will then give a brief survey of the most important fields that...

Science mapping (SM), the study of the organization and development of science and technology, is a rapidly developing field within information science. The volume of available data allows this methodology to empirically address such issues as the historical development of topics, discourses, fields or of the entire science system. Based on the pool of related methods, we are proposing an integ...

The theory of symmetry breaking in presence of gauge fields is presented, following the historical track. Particular emphasis is placed upon the underlying concepts. Invited talks presented at the 2001 Corfu Summer Institute on Elementary Particle Physics 2 E-mail : [email protected]

This is a written version of a memorial lecture given in honor of Churchill Eisenhart at the National Institute of Standards and Technology on May 5, 1995. The relationship and the interplay between statistics and standards over the past centuries are described. Historical examples are presented to illustrate mutual dependency and development in the two fields.

Manyhuman service fields have employed the termAnti-Oppressive Practice but it has yet to be named in music therapy. This article provides a brief overviewof thehistory, applications and role of the integration of Anti-Oppressive Practice theory to music therapy. The historical roots of Anti-Oppressive Practices in music therapy are described with the intent of opening discussion on Anti-Oppres...

A semi-infinite programming problem is an optimization problem in which finitely many variables appear in infinitely many constraints. This model naturally arises in an abundant number of applications in different fields of mathematics, economics and engineering. The paper, which intends to make a compromise between an introduction and a survey, treats the theoretical basis, numerical methods, ...

iran, in the qājār period, underwent many changes in political, social, and administrative fields. this research tries to study the changes in one of the urban positions, i.e. the position of a village chief (kadkhudā), by means of examining its historical background as well as its duties and functions, since kadkhudā as one of the social high ranking officials in iran and a subdivision of the ...