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16. Mai 2024 · The Lie theory has been utilized in various studies by many researchers. It was originally advocated by Sophus Lie in the 19th century in order to determine the solution of differential equations. One of the limitations of the Riemann–Liouville theory is that, by using this theory it fails to provide travelling wave solutions. Using the Lie symmetry method, we can determine solutions of PDEs ...
Vor 3 Tagen · Building on the earlier foundational work of Sophus Lie, Elie Cartan, Emmy Noether and Hermann Weyl, this theory was vital in twentieth century physics because 4-dimensional space-time, the equations of the quantum atom, and the strong nuclear force all have connected symmetry groups. Whereas they are symmetry groups of physical space, the totally disconnected groups we seek to understand are ...
Vor 5 Tagen · MPI MiS and its various research groups run a vast array of seminar series, both on a regular and sporadic schedule. These series are often thematically focused, oriented around a research group, or simply an eclectic collection of talks.
1. Mai 2024 · Wir schildern Grundideen aus Relativitätstheorie und Quantentheorie mit einigen philosophischen Folgerungen. Der klassische Materialismus verschwindet. Weiter zeigen wir einige konkrete moderne Physikideen, die auch jenseits der Physik helfen «zu verstehen». Beispiele sind Ising-Modell, Fraktale und Entropie.
29. Apr. 2024 · Rezension zu „Es war die Kühnheit meiner Gedanken. Der Mathematiker Sophus Lie“; in: Spektrum der Wissenschaft 1/2004, S. 88. Ludwig Otto Hesse. Mathematik Lehren und Lernen in Heidelberg um 1860; in: Mathematikunterricht zwischen Tradition und Innovation, hrsg. von Albrecht Abele und Christoph Selter (Weinheim und Basel, Beltz, 2002), S ...
6. Mai 2024 · jaxlie. [ API reference ] [ PyPI ] jaxlie is a library containing implementations of Lie groups commonly used for rigid body transformations, targeted at computer vision & robotics applications written in JAX. Heavily inspired by the C++ library Sophus. We implement Lie groups as high-level (data)classes: jaxlie. SO2.
Vor 5 Tagen · Lie theory originated with Sophus Lie in 1873. By 1888 the classification of simple Lie algebras was essentially completed by Wilhelm Killing. In 1913 the theorem of highest weight for representations of simple Lie algebras, the path that will be followed here, was completed by Élie Cartan.
