@prefix mdl: <http://data.loterre.fr/ark:/67375/MDL> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

mdl:-JTW13T86-0
  skos:related mdl:-S0G4HZN2-7 ;
  skos:altLabel "Noether's first theorem"@en ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Noether%27s_theorem>, <https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Noether_(physique)> ;
  skos:hiddenLabel "Noether theorem"@en, "théorèmes de Noether"@fr, "Théorème Noether"@fr ;
  skos:prefLabel "théorème de Noether"@fr, "Noether's theorem"@en ;
  skos:definition "Le théorème de Noether exprime l'équivalence qui existe entre les lois de conservation et l'invariance du lagrangien d'un système par certaines transformations (appelées symétries) des coordonnées. Démontré en 1915 et publié en 1918 par la mathématicienne Emmy Noether à Göttingen, ce théorème fut qualifié par Albert Einstein de \"monument de la pensée mathématique\" dans une lettre envoyée à David Hilbert en vue de soutenir la carrière de la mathématicienne. Il est abondamment utilisé aujourd'hui par la physique théorique, où tout phénomène est abordé, chaque fois que possible, en matière de symétrie d'espace, de charges électriques, et même de temps. (Wikipedia, L'Encylopédie Libre, <a href=\"https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Noether_(physique)\" target=\"_blank\">https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Noether_(physique)</a>)"@fr, "Noether's theorem or Noether's first theorem states that every differentiable symmetry of the action of a physical system with conservative forces has a corresponding conservation law. The theorem was proven by mathematician Emmy Noether in 1915 and published in 1918. The action of a physical system is the integral over time of a Lagrangian function, from which the system's behavior can be determined by the principle of least action. This theorem only applies to continuous and smooth symmetries over physical space. Noether's theorem is used in theoretical physics and the calculus of variations. It reveals the fundamental relation between the symmetries of a physical system and the conservation laws. It also made modern theoretical physicists much more focused on symmetries of physical systems. A generalization of the formulations on constants of motion in Lagrangian and Hamiltonian mechanics (developed in 1788 and 1833, respectively), it does not apply to systems that cannot be modeled with a Lagrangian alone (e.g., systems with a Rayleigh dissipation function). In particular, dissipative systems with continuous symmetries need not have a corresponding conservation law. (Wikipedia, The Free Encyclopedia, <a href=\"https://en.wikipedia.org/wiki/Noether%27s_theorem\" target=\"_blank\">https://en.wikipedia.org/wiki/Noether%27s_theorem</a>)"@en ;
  skos:inScheme mdl: ;
  a skos:Concept ;
  skos:broader mdl:-V9774056-J .

mdl: a skos:ConceptScheme .
mdl:-V9774056-J
  skos:prefLabel "éléments de physique théorique"@fr, "theoretical physics aspects"@en ;
  a skos:Concept ;
  skos:narrower mdl:-JTW13T86-0 .

mdl:-S0G4HZN2-7
  skos:prefLabel "variational calculus"@en, "calcul variationnel"@fr ;
  a skos:Concept ;
  skos:related mdl:-JTW13T86-0 .