Sökning: "Algebraic curve"
Visar resultat 1 - 5 av 17 avhandlingar innehållade orden Algebraic curve.
1. Constructive Newton–Puiseux Theorem, Sheaf Model of the Separable Closure and Dynamic Evaluation
Sammanfattning : Computing the Puiseux expansions of a plane algebraic curve defined by an affine equation over an algebraically closed field is a an important algorithm in algebraic geometry. This is the so-called Newton–Puiseux Theorem. The termination of this algorithm, however, is usually justified by non-constructive means. LÄS MER
2. Topics in projective algebraic optimization
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. Algebraic Methods for Modeling and Design in Control
Sammanfattning : Computer algebra or symbolic computation has been recognized as an important tool in many engineering disciplines and continues to find new fields of application. In this thesis we investigate a number of constructive methods implemented as parts of computer algebra packages and utilize them both theoretically and practically in connection with problems in modeling and design of control systems. LÄS MER
4. Knots and Surfaces in Real Algebraic and Contact Geometry
Sammanfattning : This thesis consists of a summary and three articles. The thesis is devoted to the study of knots and surfaces with additional geometric structures compared to the classical smooth structure. LÄS MER
5. Compactifying locally Cohen-Macaulay projective curves
Sammanfattning : We define a moduli functor parametrizing finite maps from a projective (locally) Cohen-Macaulay curve to a fixed projective space. The definition of the functor includes a number of technical conditions, but the most important is that the map is almost everywhere an isomorphism onto its image. LÄS MER
