Search results for "noether"
showing 10 items of 31 documents
Emmy Noether. The mother of algebra
2011
Noetherian type in topological products
2010
The cardinal invariant "Noetherian type" of a topological space $X$ (Nt(X)) was introduced by Peregudov in 1997 to deal with base properties that were studied by the Russian School as early as 1976. We study its behavior in products and box-products of topological spaces. We prove in Section 2: 1) There are spaces $X$ and $Y$ such that $Nt(X \times Y) < \min\{Nt(X), Nt(Y)\}$. 2) In several classes of compact spaces, the Noetherian type is preserved by the operations of forming a square and of passing to a dense subspace. The Noetherian type of the Cantor Cube of weight $\aleph_\omega$ with the countable box topology, $(2^{\aleph_\omega})_\delta$, is shown in Section 3 to be closely related …
A new invariant-based method for building biomechanical behavior laws - Application to an anisotropic hyperelastic material with two fiber families
2013
Abstract In this article, we present a general constructive and original approach that allows us to calculate the invariants associated with an anisotropic hyperelastic material made of two families of collagen fibers. This approach is based on mathematical techniques from the theory of invariants: • Definition of the material symmetry group. • Analytical calculation of a set of generators using the Noether’s theorem. • Analytical calculation of an integrity basis. • Comparison between the proposed invariants and the classical ones.
Models as Research Tools: Plücker, Klein, and Kummer Surfaces
2018
In the late summer of 1869, 20-year-old Felix Klein made his way to Berlin, where he planned to attend the renowned seminar founded by Ernst Eduard Kummer and Karl Weierstrass. Klein had already taken his doctorate in Bonn and he would soon be recognized as a leading expert on line geometry, a new approach to 3-space launched by his mentor in Bonn, Julius Plucker. Just before Plucker died in 1868, he entrusted Klein to complete the classic monograph, Neue Geometrie des Raumes gegrundet auf die Betrachtung der geraden Linie als Raumelement. Overall responsibility for this project fell to Alfred Clebsch in Gottingen, which was how Klein first came to the prestigious Georgia Augusta. There he …
IDM 2021 - Noether
2021
El pòster mostra una factorització. A la part superior trobem una aplicació f, de A a B, representat pel treball de recollir verdures del camp i dipositar-les al magatzem. Es descompon en tres aplicacions, una sobrejectiva (a l'esquerra), la projecció d'A a A/Ker(f), donada per la partició de les verdures segons el seu lloc d'emmagatzematge; una aplicació bijectiva (inferior), des d’A/Ker(f) fins a Im(f), donada pel dipòsit de les piles a les caixes corresponents; i una d’injectiva (dreta), la inclusió d’Im(f) a B, donada pel moviment de les caixes cap al seu destí. L’agricultor és la matemàtica Emmy Noether, autora d’aquest teorema i una figura fonamental de l’àlgebra actual. Aquest pòster…
Emmy Noether in Bryn Mawr
2020
In the annals of higher education for women, two elite colleges were particularly important for mathematics: Girton College, in Cambridge, England and Bryn Mawr College, near Philadelphia, Pennsylvania.
Max and Emmy Noether: Mathematics in Erlangen
2020
Until 1933, most of Emmy Noether’s life was spent in two middle-sized cities: Erlangen, her birthplace, and Gottingen, where she began her mathematical career.
Memories and Legacies of Emmy Noether
2021
Those who knew Emmy Noether best were her fellow Germans in exile, in particular her former colleague in Gottingen, Hermann Weyl.
Noether’s International School in Modern Algebra
2020
Pavel Alexandrov and Heinz Hopf met for the first time in Gottingen in the spring of 1926, soon after Alexandrov departed from Blaricum. Hopf had recently taken his doctorate in Berlin under Ludwig Bieberbach and Erhard Schmidt, and his research interests differed sharply from Alexandrov’s work in general topology.
Emmy Noether: a Portrait
2020
“I always went my own way in teaching and research,” Emmy Noether once wrote toward the end of her life.