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- Monogenic_system abstract "In classical mechanics, a physical system is termed a monogenic system if the force acting on the system can be modelled in an especially convenient mathematical form (see mathematical definition below). In physics, among the most studied physical systems are monogenic systems. In Lagrangian mechanics, the property of being monogenic is a necessary condition for the equivalence of different formulations of principle. If a physical system is both a holonomic system and a monogenic system, then it is possible to derive Lagrange's equations from d'Alembert's principle; it is also possible to derive Lagrange's equations from Hamilton's principle.The term was introduced by Cornelius Lanczos in his book The Variational Principles of Mechanics (1970).Monogenic systems have excellent mathematical characteristics and are well suited for mathematical analysis. Pedagogically, within the discipline of mechanics, it is considered a logical starting point for any serious physics endeavour.".
- Monogenic_system wikiPageID "14479902".
- Monogenic_system wikiPageLength "3723".
- Monogenic_system wikiPageOutDegree "23".
- Monogenic_system wikiPageRevisionID "644042412".
- Monogenic_system wikiPageWikiLink Category:Classical_mechanics.
- Monogenic_system wikiPageWikiLink Category:Dynamical_systems.
- Monogenic_system wikiPageWikiLink Category:Hamiltonian_mechanics.
- Monogenic_system wikiPageWikiLink Category:Lagrangian_mechanics.
- Monogenic_system wikiPageWikiLink Category:Mechanics.
- Monogenic_system wikiPageWikiLink Classical_mechanics.
- Monogenic_system wikiPageWikiLink Conservative_force.
- Monogenic_system wikiPageWikiLink Cornelius_Lanczos.
- Monogenic_system wikiPageWikiLink DAlemberts_principle.
- Monogenic_system wikiPageWikiLink Generalized_coordinates.
- Monogenic_system wikiPageWikiLink Generalized_forces.
- Monogenic_system wikiPageWikiLink Generalized_potential.
- Monogenic_system wikiPageWikiLink Hamiltonian_mechanics.
- Monogenic_system wikiPageWikiLink Hamiltons_principle.
- Monogenic_system wikiPageWikiLink Holonomic_constraints.
- Monogenic_system wikiPageWikiLink Lagrangian_mechanics.
- Monogenic_system wikiPageWikiLink Physics.
- Monogenic_system wikiPageWikiLink Scleronomous.
- Monogenic_system wikiPageWikiLinkText "Monogenic system".
- Monogenic_system wikiPageWikiLinkText "monogenic system".
- Monogenic_system wikiPageUsesTemplate Template:Expert-subject.
- Monogenic_system wikiPageUsesTemplate Template:Reflist.
- Monogenic_system subject Category:Classical_mechanics.
- Monogenic_system subject Category:Dynamical_systems.
- Monogenic_system subject Category:Hamiltonian_mechanics.
- Monogenic_system subject Category:Lagrangian_mechanics.
- Monogenic_system subject Category:Mechanics.
- Monogenic_system type Field.
- Monogenic_system type Mechanic.
- Monogenic_system type Page.
- Monogenic_system type Physic.
- Monogenic_system comment "In classical mechanics, a physical system is termed a monogenic system if the force acting on the system can be modelled in an especially convenient mathematical form (see mathematical definition below). In physics, among the most studied physical systems are monogenic systems. In Lagrangian mechanics, the property of being monogenic is a necessary condition for the equivalence of different formulations of principle.".
- Monogenic_system label "Monogenic system".
- Monogenic_system sameAs Q6901596.
- Monogenic_system sameAs النظام_أحادي_الجين.
- Monogenic_system sameAs 모노제닉_계.
- Monogenic_system sameAs m.03d4vd3.
- Monogenic_system sameAs Q6901596.
- Monogenic_system sameAs 單演系統.
- Monogenic_system wasDerivedFrom Monogenic_system?oldid=644042412.
- Monogenic_system isPrimaryTopicOf Monogenic_system.