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Two Properties of Expenditure functions Proof that e(p, u) is a concave function of p. Proof: We want to show that for any u and any two price vectors p and p0 , and for any λ between 0 and 1, λe(p, u) + (1 − λ)e(p0

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• Symbol
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• Partial differential equation
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• Differential operator
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Comparison of the anisotropic-common-ray approximation of the coupling ray theory for S waves with the Fourier pseudo-spectral method in weakly anisotropic models Petr Bulant1 , Ivan Pˇ

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