Müller, Andreas
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Whilst Paul de Casteljau is now famous for his fundamental algorithm of curve and surface approximation, little is known about his other findings. This article offers an insight into his results in geometry, algebra and number theory. Related to geometry, his classical algorithm is reviewed as an index reduction of a polar form. This idea is used to show de Casteljau's algebraic way of smoothing, which long went unnoticed. We will also see an analytic polar form and its use in finding the intersection of two curves. The article summarises unpublished material on metric geometry. It includes theoretical advances, e.g., the 14-point strophoid or a way to link Apollonian circles with confocal conics, and also practical applications such as a recurrence for conjugate mirrors in geometric optics. A view on regular polygons leads to an approximation of their diagonals by golden matrices, a generalisation of the golden ratio. Relevant algebraic findings include matrix quaternions (and anti-quaternions) and their link with Lorentz' equations. De Casteljau generalised the Euclidean algorithm and developed an automated method for approximating the roots of a class of polynomial equations. His contributions to number theory not only include aspects on the sum of four squares as in quaternions, but also a view on a particular sum of three cubes. After a review of a complete quadrilateral in a heptagon and its angles, the paper concludes with a summary of de Casteljau's key achievements. The article contains a comprehensive bibliography of de Casteljau's works, including previously unpublished material.
Nachhaltig zum „Besseren"
(2010)
Mehr Führung
(2016)
Agilität scheint das neue „Neu“ zu sein. Was sich hinter diesem Buzz-Word verbirgt, haben Martin Luckmann und Christiane Prange im ersten Teil beschrieben und überdies das Modell „Agile Leadership and Management“ vorgestellt. Im zweiten Teil geht es um eine Konkretisierung am Beispiel der BMW Stiftung Herbert Quandt und ihrer Idee von agiler Leadership. Im Gespräch mit Markus Hipp, dem geschäftsführenden Vorstand der BMW Stiftung, gehen Martin Luckmann und Andreas Müller auf die Suche.
Agilität scheint das neue „Neu“ zu sein. Was sich hinter diesem Buzz-Word verbirgt, haben Martin Luckmann und Christiane Prange im ersten Teil der Serie beschrieben und das Modell „Agile Leadership and Management“ vorgestellt. Im zweiten Teil ging es im Gespräch mit Markus Hipp, dem geschäftsführenden Vorstand der BMW Stiftung Herbert Quandt, um die Konkretisierung agiler Leadership am Beispiel der Transsektoralität. Im dritten Teil geht es nun um eine Konkretisierung am Beispiel der österreichischen Zweite Sparkasse und ihrer Vorstellung von agiler Identity. Im Gespräch mit Günter Benischek, Vorstandsmitglied der Zweite Sparkasse, gehen Martin Luckmann und Andreas Müller wieder auf die Suche.
Paul de Faget de Casteljau (19.11.1930 - 24.3.2022) has left us an extensive autobiography, written in 1997. In 19 sections, he takes us through his eventful life which he describes with wit and humor. We read about his youth in occupied France and his education at the Ecole Normale Supérieure. He describes in detail various episodes from his time at Citroën, the situation during and after the discovery of his now famous algorithm, the takeover by Peugeot, his ban from working on CAD and his corporate rehabilitation thanks to his advances in polar forms and quaternions. His memoirs end with his departure from Citroën and his first invited talks at academic conferences.
The paper contains the transcribed French original, its English translation and numerous notes and annotations. The handwritten text is available as a digital supplement.
This work discusses the grid-level suitability for stationary battery energy storage systems based on lithium ion technology in general, focusing on the integration of such systems in the low-voltage grid-level in Europe. The vast majority of recent research regarding stationary battery storage systems focuses on single-electricity-grid voltage levels, whereas the interaction of different electricity grid-levels has been widely neglected. Challenges in distribution grids mostly originate from the quantity of challenges in low-voltage grids, stationary battery energy storage systems that are operated in low-voltage grids may reduce these challenges. Therefore, this work investigates stationary battery energy storage systems installed in low-voltage grids and their effects on superimposed grid-levels. Simulation results show that grid challenges, addressed by battery storage systems in low-voltage grids, have positive multiplicative impacts on upper grid levels, reducing local grid demand and lowering power peak stress. A proposal is presented for a low-voltage grid battery storage system that can be operated to fulfill the aforementioned functionality and yield the benefits via a multi-purpose or multi-tasking battery storage system.
Die durch Digitalisierung ermöglichte hybride Arbeitswelt führt zu einer weiteren Verteilung von Arbeitsorten, Arbeitsabläufen und Kommunikationen, was auch eine Herausforderung für berufliche Weiterbildung darstellt: Was bedeutet dies für das bisherige Verständnis von Qualifikationen und Kompetenzen, wie verändert sich Lernen durch Digitalisierung und wie transformiert sich die Funktion des Corporate Learning? Wie werden sich zukünftig Karrierewege verändern und welche Schlüsse sollten Unternehmen und Personalverantwortliche daraus ziehen? Wir zeigen Entwicklungen auf und geben Hinweise zur künftigen Ausrichtung des Corporate Learning.
„ The times they are a changin’ “ – for the last couple of years in HR, we cannot stop chanting Bob Dylan’s verse. After the last major change, that Dave Ulrich has propagated with his idea of HR as a business partner, we are now in the middle of a transformation that seems to be even more substantial: Artificial Intelligence, Digitalization, New Work – the themes to influence HR are shaking our businesses and seem to require urgent responses or propose us to turn our organizations into something more agile and more values-oriented. Yet, what will stay once the dust settles? What are the images, that help us see again the forest for the trees, and what could guide us in this seemingly digitalized time of unrest? Instead of foreseeing the future, the following visualizations might assist to shape it or to react on changes.