Sökning: "Motivation i matematik"

Visar resultat 6 - 10 av 34 avhandlingar innehållade orden Motivation i matematik.

  1. 6. Topics in projective algebraic optimization

    Författare :Lukas Gustafsson; Sandra Di Rocco; Kathlén Kohn; Cordian Riener; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : This thesis explores optimization challenges within algebraic statistics, employing both topological and geometrical methodologies to derive new insights. The main focus is the optimization degree of nearest point and Gaussian maximum likelihood estimation problems with algebraic constraints. LÄS MER

  3. 7. Using an Artificial Ecosystem to Understand Living Ecosystems

    Författare :Yu Liu; David Sumpter; Philip Gerlee; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical Biology; Mathematical Modeling; Emergence; Ecosystem Evolution; Community Ecology; Mathematics with specialization in Applied Mathematics; Matematik med inriktning mot tillämpad matematik;

    Sammanfattning : Community ecosystems at very different levels of biological organization often have similar properties. Coexistence of multiple species, cross-feeding, biodiversity and fluctuating population dynamics are just a few of the properties that arise in a range of ecological settings. LÄS MER

  4. 8. Topology Optimization of Fatigue-Constrained Structures

    Författare :Henrik Svärd; Krister Svanberg; Pierre Duysinx; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; topology optimization; fatigue constraints; stress constraints; density filters; restriction methods; weakest link theory; critical plane criteria; Mathematics; Matematik;

    Sammanfattning : Fatigue, or failure of material due to repeated cyclic loading, is one of the most common causes of mechanical failures. The risk of fatigue in a load carrying component is often lowered by adding material, thereby reducing stresses. LÄS MER

  5. 9. A Unified Framework for Indeterminate Probabilities and Utilities

    Författare :Love Ekenberg; Johan Thorbiörnson; Yuri Ermoliev; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Decision Analysis; Risk Analysis; Second order probabilities; MATHEMATICS; MATEMATIK;

    Sammanfattning : In classic decision theory, the different alternatives in a decision situation are merely objects of choice, and it is assumed that a decision maker can assign precise numerical values corresponding to the true value of each consequence, as well as precise numerical probabilities for their occurrences. However, in real-life situations, the ordering of alternatives from most to least preferred is often a delicate matter and an adequate mathematical representation is crucial. LÄS MER

  7. 10. Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities

    Författare :Antonio Trusiani; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Okounkov bodies; Seshadri constant; Kähler-Einstein metrics; Kähler Geometry; Canonical metrics; Fano manifolds; Pluripotential theory; Complex Monge-Ampère equations; Kähler packing;

    Sammanfattning : The most classical topic in Kähler Geometry is the study of Kähler-Einstein metrics as solution of complex Monge-Ampère equations. This thesis principally regards the investigation of a strong topology for ω-plurisubharmonic functions on a fixed compact Kähler manifold (X,ω), its connection with complex Monge-Ampère equations with prescribed singularities and the consequent study of singular Kähler-Einstein metrics. LÄS MER