With the dramatic increase in RNA 3D structure determination in recent years, we now know that RNA molecules are highly structured. Moreover, knowledge of RNA 3D structures has proven crucial for understanding in atomic detail how they carry out their biological functions. Because of the huge number of potentially important RNA molecules in biology, many more than can be studied experimentally, we need theoretical approaches for predicting 3D structures on the basis of sequences alone. This volume provides a comprehensive overview of current progress in the field by leading practitioners employing a variety of methods to model RNA 3D structures by homology, by fragment assembly, and by de novo energy and knowledge-based approaches.

A proposal that the biolinguistic approach to human languages may have identified, beyond the study of language, a specific structure of the human mind. The contemporary discipline of biolinguistics is beginning to have the feel of scientific inquiry. Biolinguistics—especially the work of Noam Chomsky—suggests that the design of language may be “perfect”: language is an optimal solution to conditions of sound and meaning. What is the scope of this inquiry? Which aspect of nature does this science investigate? What is its relation to the rest of science? What notions of language and mind are under investigation? This book is a study of such foundational questions. Exploring Chomsky's claims, Nirmalangshu Mukherji argues that the significance of biolinguistic inquiry extends beyond the domain of language. Biolinguistics is primarily concerned with grammars that represent just the computational aspects of the mind/brain. This restriction to grammars, Mukherji argues, opens the possibility that the computational system of human language may be involved in each cognitive system that requires similar computational resources. Deploying analytical argumentation and empirical evidence, Mukherji suggests that a computational system of language consisting of very specific principles and operations is likely to be involved in each articulatory symbol system—such as music—that manifests unboundedness. In that sense, the biolinguistics approach may have identified, after thousands of years of inquiry, a specific structure of the human mind.

Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. In this way, classical concepts of link theory in the 3-spheres are generalized to a certain class of oriented 3-manifolds (submanifolds of rational homology 3-spheres). The techniques needed are described in the book but basic knowledge in topology and algebra is assumed. The book should be of interst to those working in topology, in particular knot theory and low-dimensional topology.

One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.