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Q: What is a lagrangian expression?
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What are cyclic coordinates?

When some generalized coordinates, say q,do not occur explicitly in the expression of Lagrangian, then those coordinates are called Cyclic coordinate.


What does the Lagangrian Function do and mean?

Lagrangian (L) summarizes the dynamics of the system.Generally, in classical physics, the Lagrangian is defined as follows:L=T-Vwhere T is kinetic energy of the system and V is its potential energy. If the Lagrangian of a system is has been defined, then the equations of motion of the system may also be obtained.


What is the advantages of lagrangian over newtonian?

One advantage of the Lagrangian formalism over the Newtonian approach is that it provides a more elegant and unified framework for describing the dynamics of complex systems. It allows for the use of generalized coordinates and constraints, making it easier to solve problems with symmetry or constraints. Additionally, the Lagrangian formulation naturally lends itself to the principle of least action, which provides deeper insights into the behavior of physical systems.


Prove that coordinate is cyclic in Lagrangian then it is also cyclic in Hamiltonian?

If a coordinate is cyclic in the Lagrangian, then the corresponding momentum is conserved. In the Hamiltonian formalism, the momentum associated with a cyclic coordinate becomes the generalized coordinate's conjugate momentum, which also remains constant. Therefore, if a coordinate is cyclic in the Lagrangian, it will also be cyclic in the Hamiltonian.


What is lagrangian of hydrogen atom?

The Lagrangian of the hydrogen atom is a function that describes the dynamics of the system in terms of the positions and velocities of the particles involved (the electron and the proton). It takes into account the kinetic and potential energies of the system, as well as the interaction between the particles due to electromagnetic forces. By solving the Lagrangian, one can determine the equations of motion for the system.


How is the Lagrangian method used in economics to optimize constrained optimization problems?

The Lagrangian method in economics is used to optimize constrained optimization problems by incorporating constraints into the objective function. This method involves creating a Lagrangian function that combines the objective function with the constraints using Lagrange multipliers. By maximizing or minimizing this combined function, economists can find the optimal solution that satisfies the constraints.


Are the Lagrangian polynomials of degree n is orthogonal to the polynomials of degree less than n?

No this is not the case.


Does Jupiter have asteroids?

Yes, Jupiter has asteroids locked in orbit with it at all of its stable Lagrangian Points.


How can the profit maximization Lagrangian be utilized to optimize financial outcomes for a business?

The profit maximization Lagrangian can be used by businesses to find the optimal balance between maximizing profits and meeting constraints, such as production costs or resource limitations. By setting up and solving the Lagrangian equation, businesses can determine the best combination of inputs and outputs to achieve the highest possible profit. This optimization process helps businesses make strategic decisions that can lead to improved financial outcomes.


What has the author John W Ruge written?

John W. Ruge has written: 'A nonlinear multigrid solver for an atmospheric general circulation model based on semi-implicit semi-Lagrangian advection of potential vorticity' -- subject(s): Atmospheric general circulation models, Lagrangian function, Vorticity


What has the author George C Georges written?

George C. Georges has written: 'Lagrangian and Hamiltonian formulation of plasma problems'


What has the author Victor Paul Starr written?

Victor Paul Starr has written: 'A quasi-Lagrangian system of hydrodynamical equations'