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dc.contributor.authorHøibakk, Ralph
dc.contributor.authorLukkassen, Dag
dc.contributor.authorMeidell, Annette
dc.contributor.authorPersson, Lars Erik
dc.date.accessioned2021-08-05T07:47:26Z
dc.date.available2021-08-05T07:47:26Z
dc.date.issued2021-02-08
dc.description.abstractOur purpose is to shed some new light on problems arising from a study of the classical Single Ladder Problem (SLP). The basic idea is to convert the SLP to a corresponding Single Staircase Problem. The main result (Theorem 1) shows that this idea works fine and new results can be obtained by just calculating rational solutions of an algebraic equation. Some examples of such concrete calculations are given and examples of new results are also given. In particular, we derive a number of integer SLPs with congruent ladders, where a set of rectangular boxes with integer sides constitutes a staircase along a common ladder. Finally, the case with a regular staircase along a given ladder is investigated and illustrated with concrete examples.en_US
dc.identifier.citationHøibakk R, Lukkassen D, Meidell A, Persson LE. A New Development of the Classical Single Ladder Problem via Converting the Ladder to a Staircase. Mathematics. 2021en_US
dc.identifier.cristinIDFRIDAID 1889042
dc.identifier.doi10.3390/math9040339
dc.identifier.issn2227-7390
dc.identifier.urihttps://hdl.handle.net/10037/21944
dc.language.isoengen_US
dc.publisherMDPIen_US
dc.relation.journalMathematics
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2021 The Author(s)en_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleA New Development of the Classical Single Ladder Problem via Converting the Ladder to a Staircaseen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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