Key Phrases - Statistically Improbable Phrases (SIPs):
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inner extremal, stigmatic field, weak minimizer, strong minimum property, first conjugate locus, strong minimizer, weak extremals, free transversality, accessory integral, conformality relations, extremal field, brachystochrone problem, given extremal, eigenvalue criteria, broken extremals, unique continuation principle, variational integrals, improper fields, inner variation, absolute minimizer, calcul des variations, conjugate values, transversal surfaces, minimal surface equation, prescribed mean curvature
Key Phrases - Capitalized Phrases (CAPs):
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New York, Johann Bernoulli, Emmy Noether, Acta Math, Academic Press, Princeton Univ, Cambridge Univ, Gesammelte Abhandlungen, Jacob Bernoulli, Leipzig Berlin, Opere Matematiche, Chelsea Publ, Miscellanea Taurinensia, Problem von Lagrange, Crelle's Journal, Deutscher Verlag, Dover Publ, Encyclopaedia of Mathematical Sciences, Pure Appl
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