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Lagrangian function

   Also found in: Wikipedia 0.01 sec.
Lagrangian function [lə′grän·jē·ən ‚fəŋk·shən]
(mechanics)
The function which measures the difference between the kinetic and potential energy of a dynamical system.
Lagrangian function

A function of the generalized coordinates and velocities of a dynamical system from which the equations of motion in Lagrange's form can be derived. The Lagrangian function is denoted by L(q1, …, qf; ˙q1, …, ˙qf; t). For systems in which the forces are derivable from a potential energy V, if the kinetic energy is T, the equation below holds. See Lagrange's equations



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We wish to interpolate the photometer response with a four point Lagrangian function to data on a 5 nm interval.
Uncertainties in interpolated spectral data by Gardner, James L. / Journal of Research of the National Institute of Standards and Technology
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