Sökning: "Cantor sets"

Visar resultat 1 - 5 av 6 uppsatser innehållade orden Cantor sets.

  1. 1. Minimal Cantor sets

    Master-uppsats, KTH/Matematik (Avd.)

    Författare :Jacob Nordin Gröning; [2023]
    Nyckelord :Cantor sets; Minimal Cantor sets; Inverse limits; Combinatorial Covers; Cantor mängder; Minimala Cantor mängder; Inversa gränser; Kombinatoriska övertäckningar;

    Sammanfattning : A Cantor set is a topological space which admits a hierarchy of clopen covers. A minimal Cantor set is a Cantor set together with a map such that every orbit is dense in the Cantor set. In this thesis we us inverse limits to study minimal Cantor sets and their properties. LÄS MER

  3. 2. Fractal Sets: Dynamical, Dimensional and Topological Properties

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Nancy Wang; [2018]
    Nyckelord :logistic function; Cantor set; generalised Cantor Set; fat Cantor set; fractals; fractal dimension; von Koch snowflake; Sierpinski arrowhead curve; Sierpinski carpet; Menger sponge; topological dimension; box dimension; exterior measure; Hausdorff measure; Hausdorff dimension; logistisk funktion; Cantormängd; fet Cantormängd; generaliserade Cantormängd; fraktaler‚; bråktalsdimension; Kochsnöfling; Sierpinskismatta; Sierpinskispilspetskurva; Mengers tvättsvamp; topologiska dimension; lådräkningsdimension; yttre mått; Hausdorffmått; Hausdorffdimension;

    Sammanfattning : Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. LÄS MER

  4. 3. Remarkable curves in the Euclidean plane

    Kandidat-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska högskolan

    Författare :Jonas Granholm; [2014]
    Nyckelord :Curves; Cantor curves; Peano curves; Sierpinski carpet; one-dimensional; Menger curve;

    Sammanfattning : An important part of mathematics is the construction of good definitions. Some things, like planar graphs, are trivial to define, and other concepts, like compact sets, arise from putting a name on often used requirements (although the notion of compactness has changed over time to be more general). LÄS MER

  5. 4. Multidimensional measures on Cantor sets

    Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Palö Malin; [2013-06-24]
    Nyckelord :;

    Sammanfattning : Cantor sets in R are common examples of sets on which Hausdorff measures can be positive and finite. However, there exists Cantor sets on which no Hausdorff measure is supported and finite. LÄS MER

  7. 5. Fractal sets and dimensions

    Uppsats för yrkesexamina på grundnivå, Matematiska institutionen

    Författare :Patrik Leifsson; [2006]
    Nyckelord :box dimension; Cantor dust; Cantor set; dimension; fractal; Hausdorff dimension; measure; Minkowski dimension; packing dimension; Sierpinski gasket; similarity; space-filling curve; topological dimension; von Koch curve;

    Sammanfattning : Fractal analysis is an important tool when we need to study geometrical objects less regular than ordinary ones, e.g. a set with a non-integer dimension value. It has developed intensively over the last 30 years which gives a hint to its young age as a branch within mathematics. LÄS MER