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The integrodifferential equation describing the linear tearing instability in the bi-Maxwellian neutral sheet is solved without approximating the particle orbits or the eigenfunction ψ. Results of this calculation are presented. Comparison between the exact solution and the three-region approximation [Phys. Fluids 27, 1198 (1984)] motivates the piecewise-straight-line approximation, a simplification that allows faster solution of the integrodifferential equation, yet retains the important features of the exact solution.
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Burkhart et al. (1989) studied this question.
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