Two Convex Counterexamples: A Discontinuous Envelope Function and a Nondifferentiable Nearest-Point Mapping

DOI10.2307/2036613zbMath0184.47401OpenAlexW4240730645WikidataQ125017288 ScholiaQ125017288MaRDI QIDQ5576756

Joseph B. Kruskal

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/2036613

zbMATH Keywords

metric geometry, convex geometry, integral geometry

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Cites Work

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• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• An Empirical Distribution Function for Sampling with Incomplete Information
• Convex Sets and Nearest Points
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES
• THE COMPLETE AMALGAMATION INTO BLOCKS, BY WEIGHTED MEANS, OF A FINITE SET OF REAL NUMBERS
• Convex Sets and Nearest Points. II
• A Decomposition Relative to Convex Sets