**4 results** match your criteria *American Mathematical Monthly[Journal] *

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Am Math Mon 2014 Mar;121(3):258-259

Departments of Biomathematics, Human Genetics, and Statistics, University of California, Los Angeles, CA 90095.

This note is devoted to a short, but elementary, proof of Hadamard's determinant inequality. Read More

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http://dx.doi.org/10.4169/amer.math.monthly.121.03.258 | DOI Listing |

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4183455 | PMC |

Am Math Mon 2014 Feb;121(2):95-108

Departments of Human Genetics, Biomathematics, and Statistics, University of California, Los Angeles, CA 90095,

In a recent issue of this journal, Mordukhovich, Nam, and Salinas pose and solve an interesting non-differentiable generalization of the Heron problem in the framework of modern convex analysis. In the generalized Heron problem, one is given + 1 closed convex sets in ℝ equipped with its Euclidean norm and asked to find the point in the last set such that the sum of the distances to the first sets is minimal. In later work, the authors generalize the Heron problem even further, relax its convexity assumptions, study its theoretical properties, and pursue subgradient algorithms for solving the convex case. Read More

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http://dx.doi.org/10.4169/amer.math.monthly.121.02.095#sthash.QTTb5Z6T.dpuf | DOI Listing |

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4169126 | PMC |

February 2014

Am Math Mon 2010 ;117(2):138-160

Institute of Mathematical Statistics and Actuarial Science, University of Bern, Alpeneggstrasse 22, CH-3012 Bern, Switzerland.

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http://dx.doi.org/10.4169/000298910X476059 | DOI Listing |

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2834376 | PMC |

Am Math Mon 1977 ;84(8):613-8

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March 1982

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