Essays about: "Cantor"

Showing result 1 - 5 of 7 essays containing the word Cantor.

1. 1. Theoretical investigation of Co-dependence in magnetic high-entropy alloys

   University essay from Luleå tekniska universitet/Institutionen för teknikvetenskap och matematik

   Author : Johan-Michael Kurak; [2023]
   Keywords : ;

   Abstract : High-entropy alloys (HEA) is a class of materials consisting of multiple principal elements that often crystallize in simple lattices such as body-centered cubic, face-centered cubic and hexagonal close-packed structures. Many HEAsexhibit exceptional mechanical properties, e.g. READ MORE

3. 2. Minimal Cantor sets

   University essay from KTH/Matematik (Avd.)

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

   Abstract : 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. READ MORE

4. 3. Feigenbaum Scaling

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Janek Sendrowski; [2020]
   Keywords : Feigenbaum; Feigenbaum constant; Feigenbaum point; superstable; self-similarity; fractals; final-state diagram; logistic map; period-doubling operator; linearized period-doubling operator; Cantor set; Sharkovsky sequence; Chebyshev interpolation; stable manifold; unstable manifold; orbits; fixed points; scaling factor; pitchfork bifurcation; cobweb plot; renormalization; iterates; one-hump map; unimodal map; bifurcation cascade; Feigenbaum universality; chaos theory; spectrum; generalized Feigenvalues; bifurcation points; superstable points; fixed function; universal function; eigenvalues; eigenvectors; eigenfunctions; universality conditions; Schwarzian derivative; Newton’s method; power method; Arnoldi’s method; attractive fixed point; repellent fixed point; Banach fixed-point theorem; collocation method; functional analysis; topology;

   Abstract : In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. READ MORE

5. 4. Fractal Sets: Dynamical, Dimensional and Topological Properties

   University essay from KTH/Skolan för teknikvetenskap (SCI)

   Author : Nancy Wang; [2018]
   Keywords : 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;

   Abstract : 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. READ MORE

6. 5. Remarkable curves in the Euclidean plane

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska högskolan

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

   Abstract : 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). READ MORE