Whether you are looking for an introduction to the field of tree balance, a reference work on the multitude of available balance indices or inspiration for your future research, this book offers all three. It delves into the significance of tree balance in phylogenetics and other research domains, where numerous indices have been introduced over the years. While the variations in definitions and underlying principles among these indices have long remained a challenge, this survey addresses the problem by presenting formal definitions of balance and imbalance indices and establishing desirable properties. The book is comprehensive both in the inclusion of a variety of indices and in the information provided on them: the authors meticulously analyze and categorize established indices, shedding light on their general, statistical and combinatorial properties. They reveal that, while some known balance indices fail to meet the most basic criteria, certain tree shape statistics from other contexts prove to be effective balance measures. The collected properties are neatly presented, numerous new results are established, open research questions are highlighted, and possible applications are discussed. Reviewing over twenty (im)balance indices, a wealth of mathematical insights is provided, accompanied by real-world examples showcasing the importance of tree balance in diverse research areas. Catering to researchers, students, mathematicians, and biologists, the book can be used as a textbook for university seminars, a reference on tree balance, and as a source of inspiration for future research. It is accompanied by the free R package 'treebalance', a powerful tool to further explore and apply the discussed concepts, and a website allowing quick access to the main information and the latest developments in the field.
Whether you are looking for an introduction to the field of tree balance, a reference work on the multitude of available balance indices or inspiration for your future research, this book offers all three. It delves into the significance of tree balance in phylogenetics and other research domains, where numerous indices have been introduced over the years. While the variations in definitions and underlying principles among these indices have long remained a challenge, this survey addresses the problem by presenting formal definitions of balance and imbalance indices and establishing desirable properties. The book is comprehensive both in the inclusion of a variety of indices and in the information provided on them: the authors meticulously analyze and categorize established indices, shedding light on their general, statistical and combinatorial properties. They reveal that, while some known balance indices fail to meet the most basic criteria, certain tree shape statistics from other contexts prove to be effective balance measures. The collected properties are neatly presented, numerous new results are established, open research questions are highlighted, and possible applications are discussed. Reviewing over twenty (im)balance indices, a wealth of mathematical insights is provided, accompanied by real-world examples showcasing the importance of tree balance in diverse research areas. Catering to researchers, students, mathematicians, and biologists, the book can be used as a textbook for university seminars, a reference on tree balance, and as a source of inspiration for future research. It is accompanied by the free R package 'treebalance', a powerful tool to further explore and apply the discussed concepts, and a website allowing quick access to the main information and the latest developments in the field.
Vanishing Sensibilities examines once passionate cultural concerns that shaped music of Schubert, Beethoven, Schumann, and works of their contemporaries in drama or poetry. Music, especially music with text, was a powerful force in lively ongoing conversations about the nature of liberty, which included such topics as the role of consent in marriage, same-sex relationships, freedom of the press, and the freedom to worship (or not). Among the most common vehicles for stimulating debate about pressing social concerns were the genres of historical drama, and legend or myth, whose stories became inflected in fascinating ways during the Age of Metternich. Interior and imagined worlds, memories and fantasies, were called up in purely instrumental music, and music was privately celebrated for its ability to circumvent the restrictions that were choking the verbal arts. Author Kristina Muxfeldt invites us to listen in on these cultural conversations, dating from a time when the climate of censorship made the tone of what was said every bit as important as its literal content. At this critical moment in European history such things as a performer's delivery, spontaneous improvisation, or the demeanor of the music could carry forbidden messages of hope and political resistance--flying under the censor's radar like a carrier pigeon. Rather than trying to decode or fix meanings, Muxfeldt concerns herself with the very mechanisms of their communication, and she confronts distortions to meaning that form over time as the cultural or political pressures shaping the original expression fade and are eventually forgotten. In these pages are accounts of works successful in their own time alongside others that failed to achieve more than a liminal presence, among them Schubert's Alfonso und Estrella and his last opera project Der Graf von Gleichen, whose libretto was banned even before Schubert set to work composing it. Enlivening the narrative are generous music examples, reproductions of artwork, and facsimiles of autograph material.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.