From Loops To Toroids


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Polyamine Drug Discovery


Polyamine Drug Discovery

Author: Patrick M. Woster

language: en

Publisher: Royal Society of Chemistry

Release Date: 2012


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This is the first comprehensive description of the discovery and therapeutic potential of polyamine drugs.

Toroidal Dehn Fillings on Hyperbolic 3-Manifolds


Toroidal Dehn Fillings on Hyperbolic 3-Manifolds

Author: Cameron Gordon

language: en

Publisher: American Mathematical Soc.

Release Date: 2008


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The authors determine all hyperbolic $3$-manifolds $M$ admitting two toroidal Dehn fillings at distance $4$ or $5$. They show that if $M$ is a hyperbolic $3$-manifold with a torus boundary component $T 0$, and $r,s$ are two slopes on $T 0$ with $\Delta(r,s) = 4$ or $5$ such that $M(r)$ and $M(s)$ both contain an essential torus, then $M$ is either one of $14$ specific manifolds $M i$, or obtained from $M 1, M 2, M 3$ or $M {14}$ by attaching a solid torus to $\partial M i - T 0$.All the manifolds $M i$ are hyperbolic, and the authors show that only the first three can be embedded into $S3$. As a consequence, this leads to a complete classification of all hyperbolic knots in $S3$ admitting two toroidal surgeries with distance at least $4$.

Toroidal Metamaterials


Toroidal Metamaterials

Author: Arash Ahmadivand

language: en

Publisher: Springer Nature

Release Date: 2020-09-25


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This book provides an overview of the use of toroidal moments. This includes methods of excitation, numerical analysis, and experimental measurements of associating structures. Special emphasis is placed on understanding the fundamental physics, characteristics, and real-world applications of toroidal multipoles. This book also covers a variety of both planar and 3D meta-atom and metamolecule schemes capable to sustain toroidal moments across a wide range of spectrum. It discusses the implementation of innovative approaches, for exploring the spectral features and excitation methodologies, predicting the properties of the correlating metasystems in their excited states. An applicable text for undergraduate, graduate, and postgraduate students, this book is also of interest to researchers, theorizers, and experimentalists working in optical physics, photonics, and nanotechnology.