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rdf:type
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rdfs:seeAlso
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Description
| - A metric space (X,d) is monotone if there is a linear order < on X and a constant c > 0 such that d(x,y)a parts per thousand broken vertical bar cd(x,z) for all x < y < zaX. Properties of continuous functions with monotone graph (considered as a planar set) are investigated. It is shown, for example, that such a function can be almost nowhere differentiable, but must be differentiable at a dense set, and that the Hausdorff dimension of the graph of such a function is 1.
- A metric space (X,d) is monotone if there is a linear order < on X and a constant c > 0 such that d(x,y)a parts per thousand broken vertical bar cd(x,z) for all x < y < zaX. Properties of continuous functions with monotone graph (considered as a planar set) are investigated. It is shown, for example, that such a function can be almost nowhere differentiable, but must be differentiable at a dense set, and that the Hausdorff dimension of the graph of such a function is 1. (en)
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Title
| - PROPERTIES OF FUNCTIONS WITH MONOTONE GRAPHS
- PROPERTIES OF FUNCTIONS WITH MONOTONE GRAPHS (en)
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skos:prefLabel
| - PROPERTIES OF FUNCTIONS WITH MONOTONE GRAPHS
- PROPERTIES OF FUNCTIONS WITH MONOTONE GRAPHS (en)
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skos:notation
| - RIV/00216208:11320/14:10283067!RIV15-MSM-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/14:10283067
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - sigma-porous set; absolutely continuous function; approximate derivative; derivative; graph; continuous function; monotone metric space (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Acta Mathematica Hungarica
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Nekvinda, Aleš
- Zindulka, Ondřej
- Vlasák, Václav
- Hrusak, Michael
- Matrai, Tamás
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1007/s10474-013-0367-z
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http://localhost/t...ganizacniJednotka
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