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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
Higgs bundles appeared a few decades ago as solutions to certain equations from physics and have attracted much attention in geometry as well as other areas of mathematics and physics. Here, we take a very informal stroll through some aspects of linear algebra that anticipate the deeper structure in the moduli space of Higgs bundles.
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.
Submitted by IMAGINARY on
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.
Submitted by IMAGINARY on
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
Diese digitale Veröffentlichung beinhaltet den unvollendeten letzten Teil des Vorlesungsskripts zu einem Kurs, den Egbert Brieskorn in den 1980er Jahren an der Universität Bonn gehalten hat, editiert aus seinem Nachlass. Im vorliegenden Skript vereint Brieskorn moderne Präsentationen Linearer Algebra mit Themen der klassischen Geometrie, und das deutlich enger als es damals und wahrsheinlich auch heute üblich war/ist. Die zentralen Themen dieses letzten Bandes sind die Theorie der Polyeder und geometrische Kristallografie.
Submitted by Bianca Violet on
Diese digitale Veröffentlichung beinhaltet das Vorlesungsskript zu einem Kurs, den Egbert Brieskorn in den 1980er Jahren an der Universität Bonn gehalten hat. Das zentrale Thema dieses Bandes ist die Euklidische Geometrie.