Logicoalgebraic approach to Lagrangian systems
Copyright policy )Logicoalgebraic approach to Lagrangian systems
A logicoalgebraic approach to the geometry of Lagrangian systems is pursued by starting axiomatically with a classical mechanical system whose logic is a separable and atomic Boolean σ algebra.
Kinematics, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, separable atomic Boolean sigma- algebra, Dynamics of a system of particles, including celestial mechanics, logico-algebraic characterization, separable Borel space, Logical aspects of Boolean algebras, Legendre transformation, hyperregularity condition, Lagrange's equations, Loomis representation theorem, holonomy condition to constraint equations
Kinematics, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, separable atomic Boolean sigma- algebra, Dynamics of a system of particles, including celestial mechanics, logico-algebraic characterization, separable Borel space, Logical aspects of Boolean algebras, Legendre transformation, hyperregularity condition, Lagrange's equations, Loomis representation theorem, holonomy condition to constraint equations
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