Conservation integrals in the sense of Noether’s theorem for an analytic function on a physical plane and application

Hilbert Mathematics Versus Gödel Mathematics III- Hilbert Mathematics by Itself, and Gödel Mathematics Versus the Physical World within It: both as Its Particular Cases

“…Thus, action is 28 Many papers (e.g. Mansfield, Rojo-Echeburúa, Hydon, Peng 2019;2019a;Pössel 2019;Peng 2017;Dorodnitsyn, Ibragimov 2014;Gonçalves, Mansfield 2012;2012a;Shi 2012;Fatibene, Francaviglia, Mercadante 2010;Narain, Kara 2010;Marwat, Kara, Hayat 2008;Ustinov 2007;Kosmann-Schwarzbach, Meersseman 2006;Brading 2005;Hanc, Tuleja, Hancova 2004Sha 2004;Qiao, Yue, Dong 1994;Krivskii, Simulik 1989;1989a;Cheung, 1987;Post 1980;Rosen 1980;Ibragimov 1969;Schröder 1968;Trautman 1967) discuss Noether's theorems in a more usual interpretation in relation to physics or its generalization.…”