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- Mountain_climbing_problem abstract "In mathematics, the mountain climbing problem is a problem of finding the conditions that two function forming profiles of a two-dimensional mountain must satisfy, so that two climbers can start on the bottom on the opposite sides of the mountain and coordinate their movements to reach to the top while always staying at the same height. This problem was named and posed in this form by James V. Whittaker (1966), but its history goes back to Tatsuo Homma (1952), who solved a version of it. The problem has been repeatedly rediscovered and solved independently in different context by a number of people (see the references).In the past two decades the problem was shown to be connected to the weak Fréchet distance of curves in the plane, various planar motion planning problems in computational geometry, the inscribed square problem, semigroup of polynomials, etc. The problem was popularized in the article by Goodman, Pach & Yap (1989), which received the Mathematical Association of America's Lester R. Ford Award in 1990.".
- Mountain_climbing_problem thumbnail Mountain_climbing_problem.gif?width=300.
- Mountain_climbing_problem wikiPageExternalLink book.htm.
- Mountain_climbing_problem wikiPageExternalLink How+difficult+is+it+to+walk+the+dog.html.
- Mountain_climbing_problem wikiPageExternalLink mhum.
- Mountain_climbing_problem wikiPageExternalLink Goodman-Pach-Yap494-510.pdf.
- Mountain_climbing_problem wikiPageID "20589034".
- Mountain_climbing_problem wikiPageLength "10635".
- Mountain_climbing_problem wikiPageOutDegree "41".
- Mountain_climbing_problem wikiPageRevisionID "696084594".
- Mountain_climbing_problem wikiPageWikiLink American_Mathematical_Monthly.
- Mountain_climbing_problem wikiPageWikiLink Canadian_Journal_of_Mathematics.
- Mountain_climbing_problem wikiPageWikiLink Cartesian_coordinate_system.
- Mountain_climbing_problem wikiPageWikiLink Category:Articles_containing_proofs.
- Mountain_climbing_problem wikiPageWikiLink Category:Discrete_geometry.
- Mountain_climbing_problem wikiPageWikiLink Category:Mathematical_problems.
- Mountain_climbing_problem wikiPageWikiLink Category:Recreational_mathematics.
- Mountain_climbing_problem wikiPageWikiLink Computational_geometry.
- Mountain_climbing_problem wikiPageWikiLink Connectivity_(graph_theory).
- Mountain_climbing_problem wikiPageWikiLink Constant_function.
- Mountain_climbing_problem wikiPageWikiLink Continuous_function.
- Mountain_climbing_problem wikiPageWikiLink Curve.
- Mountain_climbing_problem wikiPageWikiLink Degree_(graph_theory).
- Mountain_climbing_problem wikiPageWikiLink Dimension.
- Mountain_climbing_problem wikiPageWikiLink Fréchet_distance.
- Mountain_climbing_problem wikiPageWikiLink Function_(mathematics).
- Mountain_climbing_problem wikiPageWikiLink Function_composition.
- Mountain_climbing_problem wikiPageWikiLink Fundamenta_Mathematicae.
- Mountain_climbing_problem wikiPageWikiLink Graph_(discrete_mathematics).
- Mountain_climbing_problem wikiPageWikiLink Graph_drawing.
- Mountain_climbing_problem wikiPageWikiLink Handshaking_lemma.
- Mountain_climbing_problem wikiPageWikiLink Inscribed_square_problem.
- Mountain_climbing_problem wikiPageWikiLink Interval_(mathematics).
- Mountain_climbing_problem wikiPageWikiLink Java_applet.
- Mountain_climbing_problem wikiPageWikiLink Line_segment.
- Mountain_climbing_problem wikiPageWikiLink Mathematical_Association_of_America.
- Mountain_climbing_problem wikiPageWikiLink Mathematics.
- Mountain_climbing_problem wikiPageWikiLink Maxima_and_minima.
- Mountain_climbing_problem wikiPageWikiLink Motion_planning.
- Mountain_climbing_problem wikiPageWikiLink Mountain.
- Mountain_climbing_problem wikiPageWikiLink Mountaineering.
- Mountain_climbing_problem wikiPageWikiLink Path_(graph_theory).
- Mountain_climbing_problem wikiPageWikiLink Piecewise_linear_function.
- Mountain_climbing_problem wikiPageWikiLink Polynomial.
- Mountain_climbing_problem wikiPageWikiLink Proceedings_of_the_American_Mathematical_Society.
- Mountain_climbing_problem wikiPageWikiLink Quadratic_function.
- Mountain_climbing_problem wikiPageWikiLink Semigroup.
- Mountain_climbing_problem wikiPageWikiLink Semigroup_Forum.
- Mountain_climbing_problem wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Mountain_climbing_problem wikiPageWikiLink File:Mountain_climbing_problem.gif.
- Mountain_climbing_problem wikiPageWikiLinkText "Mountain climbing problem".
- Mountain_climbing_problem wikiPageWikiLinkText "mountain climbing problem".
- Mountain_climbing_problem wikiPageUsesTemplate Template:Citation.
- Mountain_climbing_problem wikiPageUsesTemplate Template:Harvs.
- Mountain_climbing_problem wikiPageUsesTemplate Template:Harvtxt.
- Mountain_climbing_problem wikiPageUsesTemplate Template:Mvar.
- Mountain_climbing_problem wikiPageUsesTemplate Template:Reflist.
- Mountain_climbing_problem wikiPageUsesTemplate Template:Sfnp.
- Mountain_climbing_problem subject Category:Articles_containing_proofs.
- Mountain_climbing_problem subject Category:Discrete_geometry.
- Mountain_climbing_problem subject Category:Mathematical_problems.
- Mountain_climbing_problem subject Category:Recreational_mathematics.
- Mountain_climbing_problem hypernym Problem.
- Mountain_climbing_problem type Disease.
- Mountain_climbing_problem type Field.
- Mountain_climbing_problem type Proof.
- Mountain_climbing_problem comment "In mathematics, the mountain climbing problem is a problem of finding the conditions that two function forming profiles of a two-dimensional mountain must satisfy, so that two climbers can start on the bottom on the opposite sides of the mountain and coordinate their movements to reach to the top while always staying at the same height. This problem was named and posed in this form by James V. Whittaker (1966), but its history goes back to Tatsuo Homma (1952), who solved a version of it.".
- Mountain_climbing_problem label "Mountain climbing problem".
- Mountain_climbing_problem sameAs Q6925455.
- Mountain_climbing_problem sameAs m.051_27g.
- Mountain_climbing_problem sameAs Q6925455.
- Mountain_climbing_problem wasDerivedFrom Mountain_climbing_problem?oldid=696084594.
- Mountain_climbing_problem depiction Mountain_climbing_problem.gif.
- Mountain_climbing_problem isPrimaryTopicOf Mountain_climbing_problem.