Relative Invariants and Closure.
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A basic problem of mathematical physics is replacing a nonlinear functional equation by a more tractable (analytically and computationally) linear equation. More generally, the problem is to replace a system of non-linear equations, often derived from a single equation by means of an orthogonal expansion in a parameter with a system of linear functional equations. To treat this closure problem, the Memorandum presents a method based on the concept of relative invariants and the use of the multidimensional Lagrange expansion theorem. 16 pp.
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