Top 10 bioone.org Wettbewerber

biodiversitylibrary.org

the biodiversity heritage library works collaboratively to make biodiversity literature openly available to the world as part of a global biodiversity community.

projecteuclid.org

In 1691, James (Jacob) Bernoulli proposed a problem called elastica problem: What shape of elastica, an ideal thin elastic rod on a plane, is allowed? Daniel Bernoulli discovered its energy functional, Euler-Bernoulli energy function, and the minimal principle of the elastica. Using it, Euler essentially solved the problem in 1744 by developing the variational method, elliptic integral theory and so on. This article starts with a review of its mathematical meaning and historical background. After that we present one of its extensions, statistical mechanics of elastica as a model of the DNA and the large polymers. We will call it a quantized elastica, and show that it is connected with the modified Korteweg-de Vries hierarchy, loop space, submanifold Dirac operators, moduli spaces of the real hyperelliptic curves and so on. By reviewing the other extensions of the elastica problem, we will see that elastica is in the center of mathematics even now.

journals.plos.org

Learn how to pay your invoice and ensure your research is published open access.

onlinelibrary.wiley.com

one of the largest and most authoritative collections of online journals, books, and research resources, covering life, health, social, and physical sciences.

link.springer.com

providing access to millions of research articles and chapters from science, technology and medicine, and humanities and social sciences

sciencedirect.com

sciencedirect is the world's leading source for scientific, technical, and medical research. explore journals, books and articles.

academic.oup.com

Oxford Academic

pnas.org

proceedings of the national academy of sciences (pnas), a peer reviewed journal of the national academy of sciences (nas) - an authoritative source of high-impact, original research that broadly spans the biological, physical, and social sciences.

royalsocietypublishing.org

Read the terms and conditions that apply when you register for an event on the Royal Society websites.

mdpi.com

MDPI is a publisher of peer-reviewed, open access journals since its establishment in 1996.