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Lagrangian

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Lagrangian [lə′grän·jē·ən]
(mechanics)
The difference between the kinetic energy and the potential energy of a system of particles, expressed as a function of generalized coordinates and velocities from which Lagrange's equations can be derived. Also known as kinetic potential; Lagrange function.
For a dynamical system of fields, a function which plays the same role as the Lagrangian of a system of particles; its integral over a time interval is a maximum or a minimum with respect to infinitesimal variations of the fields, provided the initial and final fields are held fixed.


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Derivatives without limits, constrained maxima and minima with Lagrangian functions, envelopes and asymptotes and generalized logarithms for exponential- linear equations are also explained.
The Maxwell equations, written in terms of these potentials, are said to be expressed in material or Lagrangian form.
The final two chapters deal with regression analysis, bivariate and multivariate forecasting, and Box-Jenkins application, and constrained, multivariate, Lagrangian, graphing, and Excel optimization.
 
 
 
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