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Even with the fastest supercomputers, we cannot fully model all climate processes in all regions of the world. Therefore, we divide the world into small grid cells and calculate the climate processes for these cells in parallel. The size of the cells is called the resolution of the grid. A common resolution is 100 square kilometers of Earth’s surface per cell.
Submitted by IMAGINARY on
Yes, let’s talk. About the foundation of my technology and the opportunities I bring to society. But also about the risks — and how we sometimes misunderstand each other. In which areas is artificial intelligence already helping people? Do you know of any areas in which artificial intelligence is yet to be introduced or should be more prominent? What risks do new technologies pose that worry you?
Submitted by IMAGINARY on
Submitted by IMAGINARY on
Les fibrés de Higgs sont apparus il y a quelques décennies comme solutions de certaines équations en physique, et ils ont attiré beaucoup d’attention en géométrie comme dans d’autres domaines des mathématiques et de la physique. Ici, nous donnons un aperçu très informel de quelques aspects d’algèbre linéaire qui anticipent la structure profonde de l’espace de modules des fibrés de Higgs.
Submitted by Bianca Violet on
We describe a journey through our exhibition La La Lab - the Mathematics of Music, which mixes a laboratory format with interactive exhibits to present visitors with the historical, conceptual, and artistic connections between mathematics and music, pushing forward musical creativity, mathematical knowledge and any blending of the two.
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We consider the problem of walking in a straight line on the surface of a Platonic solid. While the tetrahedron, octahedron, cube, and icosahedron all exhibit the same behavior, we find a remarkable difference with the dodecahedron.
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Fluid-structure interaction is a rich and active field of mathematics that studies the interaction between fluids and solid objects. In this short article, we give a glimpse into this exciting field, as well as a sample of the most significant questions that mathematicians try to answer.
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Big data and deep learning are modern buzz words which presently infiltrate all fields of science and technology. These new concepts are impressive in terms of the stunning results they achieve for a large variety of applications. However, the theoretical justification for their success is still very limited. In this snapshot, we highlight some of the very recent mathematical results that are the beginnings of a solid theoretical foundation for the subject.
Submitted by Bianca Violet on
This digital publication is availbale in German and contains the unfinished last parts of lecture notes to a course given by Egbert Brieskorn in the 1980s at the University of Bonn, edited from the Nachlass. In these lectures Brieskorn merged modern presentations of Linear Algebra with topics of classical geometry more closely than usual at the time and probably also today. The central subjects of the present volume are the Theory of Polyhedra and Geometrical Crystallography.
Submitted by Bianca Violet on
This digital publication is available in German and contains the lecture notes to a course given by Egbert Brieskorn in the 1980s at the University of Bonn. The central subject of the present volume is Euclidean geometry.
Please find part B of Linear Algebra III here.