Browsing 2 - Snapshots of Modern Mathematics from Oberwolfach by Title
Now showing items 118-127 of 127
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Ultrafilter methods in combinatorics
[SNAP-2021-006-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2021-06-25)Given a set X, ultrafilters determine which subsets of X should be considered as large. We illustrate the use of ultrafilter methods in combinatorics by discussing two cornerstone results in Ramsey theory, namely ... -
Vertex-to-self trajectories on the platonic solids
[SNAP-2020-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-15)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 ... -
Visual analysis of Spanish male mortality
[SNAP-2015-012-ENSNAP-2015-012-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2015)[also available in German] Statistical visualization uses graphical methods to gain insights from data. Here we show how a technique called principal component analysis is used to analyze mortality in Spain over about the ... -
What does ">" really mean?
[SNAP-2014-004-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2014)This Snapshot is about the generalization of ">" from ordinary numbers to so-called fields. At the end, I will touch on some ideas in recent research. -
What is pattern?
[SNAP-2022-009-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-10-25)Pattern is ubiquitous and seems totally familiar. Yet if we ask what it is, we find a bewildering collection of answers. Here we suggest that there is a common thread, and it revolves around dynamics. -
Wie steuert man einen Kran?
[SNAP-2016-007-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Die Steuerung einer Last an einem Kran ist ein technisch und mathematisch schwieriges Problem, da die Bewegung der Last nur indirekt beeinflusst werden kann. Anhand eines Masse-Feder-Systems illustrieren wir diese ... -
The Willmore Conjecture
[SNAP-2016-011-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)The Willmore problem studies which torus has the least amount of bending energy. We explain how to think of a torus as a donut-shaped surface and how the intuitive notion of bending has been studied by mathematics over time. -
Winkeltreue zahlt sich aus
[SNAP-2017-001-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2017-08-23)Nicht nur Seefahrerinnen, auch Computergrafikerinnen und Physikerinnen wissen Winkeltreue zu schätzen. Doch beschränkte Rechenkapazitäten und Vereinfachungen in theoretischen Modellen erfordern es, winkeltreue Abbildungen ... -
Zero-dimensional symmetry
[SNAP-2015-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)This snapshot is about zero-dimensional symmetry. Thanks to recent discoveries we now understand such symmetry better than previously imagined possible. While still far from complete, a picture of zero-dimensional symmetry ... -
Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
[SNAP-2021-005-DESNAP-2021-005-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2021-06-24)Die Yang–Baxter-Gleichung ist eine faszinierende Gleichung, die in vielen Gebieten der Physik und der Mathematik auftritt und die am besten diagrammatisch dargestellt wird. Dieser Snapshot schlägt einen weiten Bogen ...