Focusing on Cauer Filters, this book provides essential equations for determining the zeros and poles, accompanied by efficient algorithms for each step. It includes geometric constructions that connect these points to Cartesian ovals, Cassinic curves, hyperbolas, and ellipses. Additionally, it computes relevant values and transfer functions related to design parameters, enabling the creation of filters with specific Q-values. The book concludes with insights into realizing purely analog designs, making it a comprehensive resource for filter design and analysis.
The exact solution of the relativistic orbit equation and some of its consequences are treated. Consideration of the hydrogen atom leads to the determination of the relationship between the four physical forces. Then photonic orbits are investigated and the relation to the Weierstrass theory is given. Algebraic conditions for closed orbits are considered. Eventually, it is shown that the system which compensates the perihel-shift is a particularly good reference system for an observer. This leads to Cartesian ovals as curves of relativistic motion.
The present volume of writings and interviews by Klaus Huber offers, for the first time in English, a representative cross section of the composer’s extensive writings on music. The texts revolve around current issues of composing and the always problematic relationship of art, artist, and society and reveal the foundations of his musical language: the influence of Anton Webern and Igor Stravinsky, serial composition, the vocal polyphony of the Renaissance, and composing with new tonal systems. The ideas of the mystics, social criticism with a Christian undertone, and a profound interest in world cultures come together to form a strictly personal kind of political aesthetic. And one question runs like a thread through all these discussions: What can humanist art achieve in our world full of conflicts? Klaus Huber, born in Bern, Switzerland, in 1924, is one of the defining figures in music during the second half of the twentieth century. From 1973 to 1990 he taught composition in the German city of Freiburg im Breisgau and thereafter continued his teaching activity in courses and seminars worldwide. He holds honorary doctorates from the Université de Strasbourg and from the Hochschule für Musik und Theater in Leipzig. He lives in Bremen, Germany, and Panicale, Umbria, Italy.
In 2009, Klaus Huber, a prominent Swiss composer and a key figure in the evolution of New Music since 1945, was honored with the Salzburg Music Prize and the Ernst von Siemens Music Prize, recognizing his extensive and diverse body of work. From the 1960s to the 1980s, he was a highly sought-after composition teacher, and in the last two decades, he has created an extraordinary series of late works distinguished by a novel intervallic language, focusing on third-tones and Arab modes, alongside a poly-cultural approach that broadens humanist experience. As he celebrated his 85th birthday, his musical insights were compiled into a book that aims to comprehensively present his entire compositional output in both programmatic and technical terms, while also exploring its intellectual, aesthetic, and ethical underpinnings. This work is not an autobiography but a dialogue with former student Claus-Steffen Mahnkopf, who poses critical questions that Huber answers in detail. Featuring over 100 musical examples and sketches that illuminate Huber's compositional process, the book covers works from the 1950s to the present, with dedicated chapters on seven central pieces and a complete list of works included.
Es sind noch keine zehn Menschengenerationen vergangen, seit die letzten Hexen und Ketzer auf den Scheiterhaufen der Inquisition zu Asche verwandelt wurden. Unter dem Druck der sich durchsetzenden Aufklärung verlor die Kirche jedoch an Macht, Menschenrechte wurden gegen den erbitterten Widerstand der Kirche erkämpft. Heute darf Religionskritik – zumindest hierzulande – frei geäußert werden.In diesem Sammelband kommen zahlreiche Frauen und Männer zum Thema Glaube und Religion zu Wort. Sie alle haben sich zum Glauben, zur Bibel, zum Atheismus und zum Lebenssinn geäußert. Über 700 religionskritische Zitate sind hier gesammelt und in neun Themenbereiche übersichtlich gegliedert.Eine Besonderheit dieses Buches ist die Tatsache, dass es zahlreiche Kernaussagen aus der aktuellen religionskritischen Literatur wiedergibt. So finden sich hier unter anderem wichtige Zitate aus Richard Dawkins‘ „Der Gotteswahn“, Michael Schmidt-Salomons „Manifest des evolutionären Humanismus“, Sam Harris‘ „Brief an ein christliches Land“ oder Michael Onfrays „Wir brauchen keinen Gott“.Am Ende wird „Wo es an Wissen fehlt, gibt der Glaube erfundene Antworten.“Und natü „Hätte man Verstand, brauchte man keine Götter!“
