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49:16 Closed orbits II and the Poincare-Bendixson… Closed orbits II and the Poincare-Bendixson theorem	Closed orbits II and the Poincare-Bendixson theorem Duluc's criterion for the non-existence of closed orbits and the statement of the Poincare-Bendixson theorem followed by remarks. 11995 region point orbit trajectory delta divergence theorem times vector regions dimensions dot field 3d d. orbits solution points boundary alright From Rakesh Rakesh 0 likes 33 plays 0 Department Name Mathematical Sciences Date Established November 23, 2020
32:24 Closed orbits I Closed orbits I	Closed orbits I Also includes Duluc's criterion for ruling out closed orbits. 11995 orbit seconds vector solution point gamma velocity dot equation path side hand thing field divergence theorem curve argument things direction From Rakesh Rakesh 0 likes 21 plays 0 Department Name Mathematical Sciences Date Established November 20, 2020
15:01 Integrating Differential Forms - I Integrating Differential Forms - I	Integrating Differential Forms - I 11995 curve form dimension connection equation parameters sphere things divergence forms gamma dx meaning object theorem dimensions differential computation vector t. From Rakesh Rakesh 0 likes 12 plays 0
29:12 Grad, curl and divergence - I Grad, curl and divergence - I	Grad, curl and divergence - I 11995 vector gradient theorem divergence direction point curl field change coordinate rate f. function meaning delta stokes respect del forms things From Rakesh Rakesh 0 likes 5 plays 0
14:44 Grad, curl and divergence - II Grad, curl and divergence - II	Grad, curl and divergence - II 11995 form dx gradient divergence omega d. connection generalizations operation vector forms thing dc field differential f. divergent swaps curl operator From Rakesh Rakesh 0 likes 4 plays 0
01:17:26 The differential of a form The differential of a form	The differential of a form 11995 form dx differential forms variables alright vector things field thing theorem rules rule dy curl question divergence term dz function From Rakesh Rakesh 0 likes 11 plays 0